The weight of the baby after five months is 15 Kg.
Step 1:
Given:
New-born baby weight = 5kg
Monthly average weight gained = 2kg
To find:
The weight of the baby after 5 months.
Average Weight of Baby:
Birth weight is the weight of the baby at birth. [1] The average birth weight of babies of European descent is 3.5 kilograms, with a normal range of 2.5 to 4.5 kilograms (5.5 to 9.9 pounds). On average, South Asian and Chinese babies weigh about 3.26 kg. The prevalence of low birth weight infants decreased slightly from 7.9% (1970) to 6.8% (1980), then increased slightly to 8.3% (2006) and is currently at 8.2% (2016).
Step 2:
Represent the unknown.
Let x-the number of months .
Let y-weight of the baby after 5 months.
Step 3:
Formulate the equation.
The mathematical equation is:
5+2x = y
Step 4:
Solve the equation.
5+2x = y
5+2(5) = y
5+10 = y
y = 15
Thus, the baby weight is 15kg after 5 months.
Step 5:
Using the equation 5+2x=y.
5+2x = y
5+2(5) = 15
5+10 = 15
Learn more about weight:
https://brainly.com/question/30068773
#SPJ4
How do you graph a logarithmic curve?
Logarithmic Functions
In mathematics, the logarithmic function is an inverse function to exponentiation
Domain and range of logarithmic functions
We know that is defined only when >0. So the domain is the set of all positive real numbers. We can see that can be either a positive or negative real number (or) it can be zero as well. Thus, can take the value of any real number.
Note:
The domain of function = is >0 (or) (0,∞).
The range of any log function is the set of all real numbers ().
Logarithmic graph
We know that exponentials and functions are inversely proportional to each other, and so their graphs are symmetric concerning the line =. Also, note that =0 when =0 as =(1)=0 for any . Thus, all such functions have an -intercept of (1,0). A logarithmic function doesn’t have a -intercept as 0 is not defined.
Properties of logarithmic graph
>0 and ≠1.
The logarithmic graph increases when >1 and decreases when 0<<1.
The domain is obtained by setting the argument of the function greater than 0.
The range is the set of all real numbers.
Graphing logarithmic functions
Before plotting the log function, just have an idea of whether you get an increasing curve or decreasing curve as the answer. If the >1 then the curve is increasing, and if 0<<1, then the curve is decreasing.
Here are the steps for graphing logarithmic functions:
Find the domain and range.
Find the vertical asymptote by setting the argument equal to 0. Note that a function doesn’t have any horizontal asymptote.
Substitute some value that makes the argument equal to 1 and use the property (1)=0. This gives us the -intercept.
Substitute some value that makes the argument equal to the base and use the property ()=1 This would give us a point on the graph.
Connect the two points (from the last two steps) and extend the curve on both sides relative to the vertical asymptote.
To learn more about the logarithmic graphs, refer to the link:brainly.com/question/28145606
#SPJ4
Theoretically, if a fruit is chosen 300 times, how many times would you expect to pick an apple or banana?
The answer is 90 times to expect picking an apple or banana.
If the fruit is chosen 300 times, then it would be a 1:3 ratio of apple or banana to the other fruits. This means that 100 times out of the 300 times, you would expect to pick an apple or banana.
Predicting the outcome using the experiment results because 300 times is a sizable number.
8+4 is either an apple or a banana in 40 times.
Therefore, the solution would be x in 300 times.
[tex]x = \frac{300}{40}[/tex] x12
x = 90
Therefore, the probability of picking an apple or banana is 90 times.
Learn more about probability on fruit relations:
brainly.com/question/29281008
#SPJ4
Aida, Bernado and Cristiano need $30000 to start a business. a I They borrow & of this amount.
Show that they still need $18000.
They provide the $18000 themselves in the ratio
Aida: Bernado : Christiano = 5: 4: 3.
Calculate the amount each of them provides.
b i Office equipment costs 35% of the $30000.
Calculate the cost of the equipment. ii Office expenses cost another $6500.
Write this as a fraction of $30 000.
Give your answer in its lowest terms. iii How much remains of the $30000 now?
c They invest $12500.
After one year this has increased to $15500.
Calculate this percentage increase.
Answer:
aida:$7500
Bernardo:$6000
Christiano :$4500
b.i $10500
b.ii 13/60
b.iii $13000
c. 24%
What is the 2 step rule in math?
The Two steps equation in mathematics are the equations that can be solved within exactly two steps.
What is a Two Step Equation ?
The Two Step Equation are the algebraic problems that just take two steps to solve. It is a linear equation in one variable.
When solving the two step equation, we have to perform operation on both sides of the equation .
For Example : Solve [tex]2x+6=12[/tex] ;
Step1 : we Subtract -6 from both sides to isolate variable x.
⇒ [tex]2x + 6 - 6 = 12 - 6[/tex]
⇒ [tex]2x = 6[/tex]
Step2 : We Divide both the sides of equation by 2 and solve for x.
⇒ [tex]\frac{2x}{2} =\frac{6}{2}[/tex]
⇒ [tex]x = 3[/tex] ;
Therefore , the equation is solved in two steps .
The given question is incomplete , the complete question is
What is the two step equation in math ?
Learn more about Two Step Equations here
https://brainly.com/question/26119747
#SPJ4
Examine the system of equations. −3x y = 4, −9x 5y = −1 what is the solution? ( , )
The system of equations -3x + y = 4 and -9x + 5y = -1 has the solution (-3.5 , -6.5).
A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations. This is what is called as the solution.
Given two equations in x and y,
-3x + y = 4 (equation 1)
-9x + 5y = -1 (equation 2)
Rewrite equation 1 as an equation of y and substitute to equation 2.
(equation 1) -3x + y = 4 ⇒ y = 3x + 4
-9x + 5y = -1 (equation 2)
-9x + 5(3x + 4) = -1
-9x + 15x + 20 = -1
6x = -21
x = -3.5
Substitute the value of x in equation of y and solve for y.
y = 3x + 4
y = 3(-3.5) + 4
y = -6.5
Hence, the solution to the following system of equations is (-3.5 , -6.5).
To learn more about solving systems of equations: brainly.com/question/13729904
#SPJ4
Answer:
(-3.5 , -6.5)
Step-by-step explanation:
What is the solution to the equation 9 W 4 )- 7w 5 3w 2?
The solution to w in the equation 9(w - 4) - 7w = 5(3w - 2) is w = -2.
Now, According to the question:
The given Equation:
9(w-4)-7w=5(3w-2)
To solve for w we first need to simplify our equation, removing any brackets and adding together similar terms. This gives us:
9(w-4)-7w=5(3w-2)
9w - 36 -7w = 15w - 10
2w - 36 = 15w - 10
Next, we subtract 2w from both sides to have all the variables on one side of our equation, then we add 10 to both sides to move the numerical values to one side.
2w - 36 = 15w - 10
2w -2w - 36 = 15w - 2w - 10
-36 = 13w - 10
-36 + 10 = 13w - 10 + 10
-26 = 13w
Finally, we divide both sides by 13 to find the value of w.
w = -2
Learn more about equation at:
https://brainly.com/question/29657983
#SPJ4
The complete question is this :
What is the solution to the equation of 9(w - 4) - 7w = 5(3w - 2).
6. Find the quotients.
a. 0.024 ÷ 0.015
b. 0.24 0.015
c. 0.024 ÷ 0.15
d. 24 ÷ 15
Answer:
a. 1.6
b. 16
c. 0.16
d. 1.6
The width of a rectangle is 5x-1.5 feet and the length is 1.5x+5 feet. Find the perimeter of the rectangle.
7th grade
The perimeter of the rectangle is 13x+7 feet
What is the area of the rectangle?The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.
Given here: The width of a rectangle is 5x-1.5 feet and the length is 1.5x+5 feet. Therefore the perimeter of the rectangle is given by
= 2(5x-1.5+1.5x+5)
=2(6.5x+3.5)
= 13x+7
Hence, The perimeter of the rectangle is 13x+7 feet
Learn more about area of a rectangle here:
https://brainly.com/question/20693059
#SPJ1
75 Points!
A linear relationship is shown in the table.
Time (hours) 2 4 6 8
Distance (miles) 4 8 12 16
Is the linear relationship also proportional? Explain.
A. No, the constant of proportionality is 2.
B. Yes, the constant of proportionality is 2.
C. No, there is no constant of proportionality.
D. Yes, there is no constant of proportionality.
Answer:
B. Yes, the constant of proportionality is 2.
Step-by-step explanation:
Given:
A linear relationship is shown in the table.
Time (hours) 2 4 6 8
Distance (miles) 4 8 12 16
Is the linear relationship also proportional? Explain.
A. No, the constant of proportionality is 2.
B. Yes, the constant of proportionality is 2.
C. No, there is no constant of proportionality.
D. Yes, there is no constant of proportionality.
Solve:
To know if a linear relationship is proportional, all we have to find out is if after we divide distance by time and if all equal the same. Ex: 4/4=1,3/3=1. As we can see all are equal to 1.
Let's see the table:
Time (hours) Distance (miles)
2 4
4 8
6 12
8 16
The formula for it is 'k=y/x'
where;
k: constant of proportionality
y and x are two quantities that are directly proportional to each other.
Also means;
y = Distance
x = Time(Hours)
Time (hours) Distance (miles)
2 4 4/2=2
4 8 8/4=2
6 12 12/6=2
8 16 16/8=2
As you see all equal to 2. It a constant. Also means that;
Yes, the linear relationship is proportional and the constant of proportionality is 2.
Answer: B. Yes, the constant of proportionality is 2.
RevyBreeze
The rectangular floor of a classroom is 36 feet in length and 27 feet in width.A scale drawing of the floor has a length of 12 inches.What is the area, in square inches, of the floor in the scale drawing?
The area of the scale drawing is 108 square inches.
I know this because I divided 36 by 13 to get 3. Then I took 27/3 and got 9. So I knew that the scale drawing was 9 by 12 and so then I just multiplied 9 by 12 and got 108
Haan' hitory cla i taking a field trip to the tate capitol building. The capitol building i 50 mile from Haan' chool. The cla plan to top after 45 minute, or 0. 75 hour, to view a local monument. The bu driver plan to drive at an average peed of 40 mile per hour
The class has a 45-minute, or 0.75-hour, climb to the summit planned to observe a nearby monument. The bus driver intended to travel at a steady 40 mph. Accordingly, the average speed is 0.888.
How long does it take to drive 60 miles at 40 miles per hour?The time required to travel 20 miles at 40 mph is 30 minutes, and the time required to go 40 miles is 60 minutes. The journey of 60 miles will therefore take 90 minutes. In most cases, an hour's worth of time, this will tell you the average speed.
As a result, Ben's average speed was 50 miles per hour when he covered 150 miles in 3 hours. 40m in an hour. 12 hour to cover 20 miles. In fifteen minutes, ten miles. It is determined by dividing something's total travel distance by its total journey time. Take the earlier automobile, for instance. The average speed of the vehicle would be 70 / 2 = 35 miles per hour if it covered 70 miles in two hours.
To learn more about average speed refer to :
brainly.com/question/553636
#SPJ4
Complete question is: Hassan's history class is taking a field trip to the state capitol building. The capitol building is 50 miles from Hassan's school. The class plans to stop after 45 minutes, or 0.75 hours, to view a local monument. The bus driver plans to drive at an average speed of 40 miles per hour. Which equation can you use to find how many hours, x, the second part of the trip will take?
GH is dilated by a scale factor of to form G'H'. GH measures 36. What is the
measure of G'H'?
Answer:
The basic formula to find the scale factor of a dilated figure is: Scale factor = Dimension of the new shape ÷ Dimension of the original shape.
What are the 3 different polynomial equation?
The 3 different polynomial equations are linear polynomial equations, quadratic polynomial equations, and cubic polynomial equations.
A polynomial equation is one where a polynomial is set equal to zero. i.e., it is an equation created with variables, non-negative integer exponents, and coefficients together with operations and an equal sign.
A polynomial equation is always like "polynomial = 0". Algebraically, it is of the form p(x) = aₙ xⁿ + aₙ₋₁ xⁿ⁻¹ + ... + a₁ x¹ + a₀x⁰ = 0, where
aₙ, aₙ₋₁, ...., a₁, a₀ are coefficients and all these numbers are real numbers.
'x' is the variable.
p(x) means "polynomial in terms of variable x"
'n' is a non-negative integer, it is the degree of p(x).
To know more about polynomial, here
https://brainly.com/question/11536910
#SPJ4
Equilateral triangle T is inscribed in circle A , which has radius 10 . Circle B with radius 3 is internally tangent to circle A at one vertex of T . Circles C and D , both with radius 2, are internally tangent to circle A at the other two vertices of T. Circles B, C , and D are all externally tangent to circle E, which has radius m/n , where m and nare relatively prime positive integers. Find m+n
For the given figure, where m and nare relatively prime positive integers. The value of m+n is 32.
Explain Law of Cosines.The law of cosines, also known as the law of cosines, relates all three sides of a triangle to one angle of the triangle. Most useful for searching for missing information in triangles. For example, if you know all three sides of a triangle, you can use the law of cosines to find the measure of the angle. Similarly, if you know two sides and the angle between them, you can find the length of the third side by the law of cosines.
Let X be the intersection of the circles with centers B and E, and Y be the intersection of the circles with centers C and E.
Since the radius of B is 3, AX = 4.
Assume AE = p.
Then EX and EY are radii of circle E and have length 4 + p.
AC = 8, and ∠CAE = 60° because we are given that triangle T is equilateral.
Using the Law of Cosines on Δ CAE, we obtain
(6+p)² =p² + 64 - 2(8)(p) cos 60
The 2 and the cos 60 terms cancel out:
p² + 12p + 36 = p² + 64 - 8p
12p+ 36 = 64 - 8p
p = 28/20
= 7/5
The radius of circle E is 4 + (7/5)
= 27/5,
So, the answer is 27 + 5 = 32
To know more about law of cosines, visit:
https://brainly.com/question/17289163
#SPJ4
I GIVE THANKS AND MARK BRAINLIEST
WHAT ARE THE CORRECT ANSWER(S)?
On solving the provided question, we can say that - the slope of the following will be slope, m = [tex]4-6/4-2 = -2/2 = -1[/tex]
what is slope?A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x). The ratio of the vertical change (rise) between two points to the horizontal change (run) between the same two places is referred to as the slope. The slope-intercept form of an equation is used to represent each time a straight line's equation is stated as y = mx + b. The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).
here,
(x1,x2) = (6,4)
(y1,y2) = (2,4)
slope, m = 4-6/4-2 = -2/2 = -1
To know more about slope visit:
https://brainly.com/question/3605446
#SPJ1
On solving the provided question, we can say that - the slope of the following will be slope, m = -1
what is slope?
A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x). The ratio of the vertical change (rise) between two points to the horizontal change (run) between the same two places is referred to as the slope. The slope-intercept form of an equation is used to represent each time a straight line's equation is stated as y = mx + b. The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).
here,
(x1,x2) = (6,4)
(y1,y2) = (2,4)
slope, m = 4-6/4-2 = -2/2 = -1
To know more about slope visit:
brainly.com/question/3605446
#SPJ1
What is complete angle Class 7?
The angle with the measure 360° is known as a complete angle. A complete angle is one full rotation measuring 360°.
When the final point coincides with the initial point, after one whole rotation, then the angle so created is known as the complete angle. A complete angle is also known as a full angle or a round angle.
The measure of a complete angle is equal to 2π radians = 360 degrees which is the central angle of a circle. Also, if we combine four right angles or two straight angles it makes a complete angle. A complete angle is identical to a zero angle but the difference is only the amount of rotation.
To know more about circle, here
https://brainly.com/question/29142813
#SPJ4
4
Drag each option to the correct location on the image.
Match the expenses to their respective categories.
Need
tuition and fees
staple foods
Want
Lamborghini
vacation
lavish wedding
Answer:
NEED:
Tuition and Feesstaple foodsWANT:
VacationLamborghini Lavish WeddingStep-by-step explanation:
Right on Plato! <3
Have a wonderful day!
The needs listed are tuition and fees and staple foods, while the wants are a vacation, a Lamborghini, and a lavish wedding.
The listed needs and wants reflect different aspects of a person's life and priorities. "Tuition and Fees" and "Staple Foods" are necessities that are essential for a person's survival and well-being.
On the other hand, "Vacation," "Lamborghini," and "Lavish Wedding" are desires that are often seen as luxury items or experiences. While having wants is normal and human, it is important to understand that not all wants can be fulfilled, and it is equally important to prioritize needs over wants. Having a balanced approach to spending, budgeting, and financial planning can help ensure that both needs and wants can be met in a sustainable manner.
Learn more about Hierarchy of Needs here: brainly.com/question/1759629
#SPJ1
IS this statement true. When two conjugates are multiplied, the product is a
difference of two squares
Therefore the product of two conjugates is a difference of two squares.
What are conjugates?When two binomials have the same terms but different arithmetic operators in the center of these related words, they are said to be conjugate. For instance, the conjugate of p + q is p - q.
Define binomial numbers.An integer known as a binomial number is produced by evaluating a homogeneous polynomial with two terms, also known as a binomial.
This statement is true.
The conjugates of a complex number are two complex numbers that differ only in their signs. They are of the form a + bi and a - bi.
When two conjugates are multiplied, the product is (a + bi)(a - bi) = a^2 + (bi)^2 = a^2 - b^2 + (2abi) = (a^2 - b^2) + (2ab)i.
which is in the form (a^2 - b^2) + (2ab)i = (a^2 - b^2) + (2ab)i = (a+b)(a-b)
So the product of two conjugates is a difference of two squares.
To know more about integers visit: https://brainly.com/question/15276410
#SPJ4
A culture of bacteria has an initial population of 7100 bacteria and doubles every 2 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 15 hours, to the nearest whole number?
The population of bacteria in the culture after 15 hours, to the nearest whole number would be 1285235
A culture of bacteria has an initial population of 7100 bacteria and doubles every 2 hours.
Given that,
P_t = P_0 * 2^(t/d) , which refers to the formula for the calculation of the number of bacterial cell in a population.
In the given formula, P_t is the population after t hours, P_0 is the initial population, t is the time in hours and d is the doubling time in hours,
Therefore,
P_0 = 7100
d = 2
t = 15
so,
P_15 = 7100 * 2^(15/2) = 7100 * 181.019= 1285234.9 which is nearly equal to 1285235
A culture of bacteria has an initial population of 7100 bacteria and doubles every 2 hours, the population of bacteria in the culture after 15 hours, to the nearest whole number would be 1285235
To know more about bacterial growth here:
https://brainly.com/question/14067407#
#SPJ4
Maria finished with 160 percent of her original amount. If she finished with 7200, what was Maria's original amount
On solving the provided question, we can say that the equation will be 1.8x=7200 => x=4000
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
here,
the equation will be
1.8x=7200
x=7200/1.8
x=4000
To know more about equation visit:
https://brainly.com/question/649785
#SPJ4
A consumer organization estimates that over a 1-year period 17% of cars will need to be repaired once, 7% will need repairs twice, and 4% will require three or more repairs. What is the probability that a car chosen at random will need
The probability that a car chosen at random will need no repairs = 72%; no more than one repair = 91%; some repairs = 9%
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty.
28% of all vehicles will require some sort of repair; of these, 19% will require one repair, 7% will require two repairs, and 2% will require more than two repairs.
The number of vehicles that would not require any form of repairs is equal to the entire number of vehicles less the proportion that requires repairs; for example, 100% - 28% = 72%. The total number of automobiles minus the percentage that require more than one repair equals the percentage of vehicles that will require no repairs or just one
; hence, 100% - (7% + 2%) = 91%. The total number of vehicles in need of repairs is equal to the product of those with two repairs and those with three or more.
the probability that a car chosen at random will need no repairs = 72%; no more than one repair = 91%; some repairs = 9%
To know more about probability visit:
https://brainly.com/question/11234923
#SPJ4
Show the correct relationship between altitude and boiling point.
Altitude
Boiling Point Temp.
The relationship between altitude and boiling point is given below.
What is altitude?
Altitude is the height above sea level. It is usually measured with a barometer or GPS satellite. Altitude can be used to describe the height of an airplane, a mountain, or even the position of a satellite in space. Altitude can also be used to measure how high a person is standing on Earth. Altitude can also be used to compare the relative heights of two different points on Earth. Altitude is an important factor when flying, as it can determine air pressure, air temperature, and wind speed.
Sea Level 212°F
1,000 ft. 211°F
2,000 ft. 210°F
3,000 ft. 209°F
4,000 ft. 208°F
5,000 ft. 207°F
6,000 ft. 206°F
7,000 ft. 205°F
8,000 ft. 204°F
9,000 ft. 203°F
10,000 ft. 202°F
To know more about altitude click-
https://brainly.com/question/1511617
#SPJ1
480 over 840 turning it into the lowest term
Answer:
The fraction 480/840 can be reduced to its lowest terms by dividing the numerator and denominator of the fraction by their greatest (highest) common factor (divisor), gcf (hcf, gcd). This results in a reduced fraction of 4/7.
Step-by-step explanation:
in triangle ABC,AC=BC,CD is perpendicular to AB with D belonging to AB,AB=4 in. and CD=\sqrt(3) in.find AC
The length of the triangle ΔABC will be √7 inches.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
In triangle ΔABC, AC = BC, the CD is perpendicular to AB with D belonging to AB, AB = 4 inches, and CD = √(3) inches.
The CD is half of the length AB. Then we have
CD = AB / 2
CD = 4 / 2
CD = 2 inches
Then the length of AC is calculated as,
h² = (√3)² + (2)²
h² = 3 + 4
h= √7 inches
The length of the triangle ΔABC will be √7 inches.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ1
A boat heading out to sea starts out at Point AA, at a horizontal distance of 862 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 15^{\circ}
∘
. At some later time, the crew measures the angle of elevation from point BB to be 8^{\circ}
∘
. Find the distance from point AA to point BB. Round your answer to the nearest tenth of a foot if necessary
The distance from point A to point B is 781.5 ft.
Since the angle of elevation from point A to the lighthouse is 15 degrees, use the tangent function to find the height of the lighthouse. Let x be the height of the lighthouse,
tan(15°) = x / 862
Solve for x.
x = 862 (tan(15°))
Similarly, let y be the distance from point B to the lighthouse,
tan(8°) = x / y
Solve for y.
tan(8°) = 862 (tan(15°)) / y
y = 862 (tan(15°)) / tan(8°)
y = 1643.45 feet
Subtract 862 from 1643.45 to get the distance from point A to point B.
distance from point A to point B = 1643.45 - 862 = 781.45 ft = 781.5 ft
Therefore, the distance from point A to point B is 781.5 ft.
Learn more about tangent function here: https://brainly.com/question/10454111
#SPJ4
Which is equivalent to the ratio 35 : 100?
Answer: 7:20
Step-by-step explanation:
It seems like there are no options to choose from, but if that is one of the options, here's how:
You can simplify ratios by finding if there is a common multiple.
For 35 and 100, there is a common multiple of 5, so you can divide both sides by 5 to simplify the equation.
That leaves us with 7:20. Since one is a prime number, we can't simplify this further.
Answer:
The ratio equivalent to 35:100 is 7:20
Step-by-step explanation:
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What is the Ratio?
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
Given ratio,
= 35 / 100
= 5× 7 / 20 × 5
= 7 / 20
math. f(x)=8x-7;f(x)=9
Answer:
65
Step-by-step explanation:
We are given f(x) = 9
Substitute 9 for x in f(x) = 8x - 7
f(x) = 8 (9) - 7
f(x) = 72 - 7
f(x) = 65
What is the rule for quadrant 4?
All points in Quadrant IV have a positive x-coordinate and a negative y-coordinate.
The fourth quadrant, indicated as Quadrant IV, is in the bottom right quadrant. The x-axis in this quadrant has positive values, whereas the y-axis has negative numbers.
A two-dimensional Cartesian system's axes split the plane into four infinite areas called quadrants, each of which is limited by two half-axes. These are frequently numbered from first to fourth.
A quarter of a circle; a 90° arc. the region enclosed by an arc and two radii are drawn one to each extreme. As a mechanical component, anything is shaped like a quarter of a circle.
All Quadrant I points have two positive coordinates.
Quadrant II points all have a negative x-coordinate and a positive y-coordinate.
All Quadrant III locations have two negative coordinates.
For more questions on Quadrant
brainly.com/question/863849
#SPJ4
we roll a fair 6 sided die 5 times. what is the probability that we get a one or a two in exactly 3 of the 5 rolls
The probability is 5/32.
Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
To roll exactly 4 odds out of 5 rolls is [tex](\frac{1}{2} )^{4}\frac{1}{2}[/tex] where the odds are 1, 3, and 5 for 3/6=1/2 and the other 1/2 is the probability of rolling an even since we want exactly 4 odds.
Since there are 5 dice being rolled there are 5 ways to order them.
So the probability is 5/32.
To learn more about probability here:
https://brainly.com/question/30034780
#SPJ4
What should be added in the polynomial x³ 6x² 11x 8 so that it is completely divisible by X² 3x 2?
The number that should be added in the polynomial [tex]x^{3}-6x^{2} +11x+8[/tex] , so that it is completely divisible by [tex]x^{2} -3x+2[/tex] is -14 .
What are Polynomials ?
A polynomial is defined as a type of algebraic expression where the exponents of all the variables is a whole number.
The exponents of the variables in any polynomial is a non-negative integer. A polynomial consists of constants and variables.
the polynomial expression is ⇒ [tex]x^{2} -3x+2[/tex], which can be written in factor form as : [tex](x-1)(x-2)[/tex] ,
that means the polynomial is divisible by both x = 1 and x = 2 ;
So , on substituting [tex]x=1[/tex] in the polynomial [tex]x^{3}-6x^{2} +11x+8[/tex] ,
we get , [tex]1^{3}-6\times1^{2} +11\times 1+8[/tex] = 14 ;
on substituting [tex]x=2[/tex] in the polynomial [tex]x^{3}-6x^{2} +11x+8[/tex] ,
we get , [tex]2^{3}-6\times2^{2} +11\times 2+8[/tex] = 14 ;
So , the remainder is 14 .
Therefore , -14 should be added in the given polynomial .
The given question is incomplete , the complete question is
What should be added in the polynomial x³ -6x² +11x +8 so that it is completely divisible by x² -3x +2 ?
Learn more about Polynomial here
https://brainly.com/question/16774248
#SPJ4