Therefore , the solution to the given problem of inequality comes out to be Part a:where x is the no of apples and y is the no of grapes , Part b:Inequality sign and Part c: ordered pair (3, −4) isn't solution.
What is inequality, exactly?An unbalanced connection between two expressions or values is referred to in mathematics as an inequality. So, inequity results from imbalance. In mathematics, an inequality defines the connection between two non-equal quantities. Egality and inequality do not mean the same thing. Use the not equal sign whenever two values are not equal (). It is possible to compare values of any size using a variety of inequalities. By changing both sides until only the variables are left, it is possible to solve many straightforward inequality problems.
Here,
Given : 3x + 4y ≤ 20.
where x is the no of apples
and y is the no of grapes
Thus,
Part a:
where x is the no of apples
and y is the no of grapes
Part b:
Inequality signs means that 20 will be the maximum amount of the no of apples and no of grapes summation.
Part c: ordered pair (3, −4)
Thus,
putting in the inequality we find:
=> 3(-3)+ 4(-4)
=> -6 -16
=> -22
Thus , it is not a solution for inequality.
Therefore , the solution to the given problem of inequality comes out to be Part a:where x is the no of apples and y is the no of grapes , Part b:Inequality sign and Part c: ordered pair (3, −4) isn't solution.
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I really need help on this one too
The solution is Option C and Option D.
The exponential function is given by f ( x ) = 2 ( 3 )ˣ
The exponential function is given by f ( x ) = 800 / 4ˣ
What are the laws of exponents?
When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the equation be represented as A
Now , the value of A is
a)
Let the x values be x = { 0 , 1 , 2 , 3 }
Let the y values be y = { 7 , 19 , 31 , 43 }
The equation of line is y = 12x + 7
This is a linear equation
b)
Let the x values be x = { 0 , 1 , 2 , 3 }
Let the y values be y = { 5 , 10 , 15 , 30 }
The equation is a quadratic equation
c)
Let the x values be x = { 0 , 1 , 2 , 3 }
Let the y values be y = { 2 , 6 , 18 , 54 }
The equation is y = 2 ( 3 )ˣ
This is an exponential function
d)
Let the x values be x = { 0 , 1 , 2 , 3 }
Let the y values be y = { 800 , 200 , 50 , 12.5 }
The equation is f ( x ) = ( 800 / 4ˣ )
This is an exponential function
Hence , the exponential equations are solved
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A large plane cruises at 530 miles per hour. What is the ratio, Unit Rate, and Rate?
Answer:
For this example they are all the same thing.
530:1 or 530 mph
Step-by-step explanation:
A unit rate is when the denominator is 1. In this case, the denominator is already 1 hour.
Solve for x in this triangle. Round your answer to the nearest tenth. 13 35⁰ X
Answer:
x ≈ 10.6
Step-by-step explanation:
using the cosine ratio in the right triangle
cos35°= [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{13}[/tex] ( multiply both sides by 13 )
13 × cos35° = x , then
x ≈ 10.6 ( to the nearest tenth )
Solve for x. each figure is a parallelogram
it's 40 points for the 4
3.) x = 15.25 or 15 1/4 ( not sure if you'll need to round your answer )
4.) x =6
5.) x = 10
6.) x = 9
Explanation:
1.) write your equation down 8x + 9 = 131
2.) Subtract +9 from 131. you'll get 122
3.) divide 8x and 122.
4.) Then there's your answer 15.25
you'll do the same thing throughout each equation. write down your equation but with the 22x and 23x you're going to subtract 22x from 23x. and you'll get 1x then continue on the same way as with the last equation.
Please help me!
Will give you brainlist!!!!
Molly and Liza are exercising. Molly does
10 push-ups at the same time
as Liza
does 15 push-ups. When Molly does
40 push-ups, how many push-ups does
Liza do?
Answer:
25
Step-by-step explanation:
so molly and liza are exercising right?.so 10 push-ups at the same time wich means they do 10 push-ups together and liza push-ups 15 and molly does 40 pushups so. its addition so 10+15=25 so thats the answer.
Practice 2-2 Using number sense to solve Equations (PLEASE HELP)
The solutions for all the equations would be
1. p = 30
2. h = 99
3. t = 31.4
4. r = 57
5. t = 5
6. w = 8
7. y = 9
8. p = 7
9. a = 13
10. w = 12
11. h = 24
12. g = 128
13. a = 21
14. y = 39
15. d = 16
16. w = 25
What is an equation?
An equation is a statement that asserts the equality of two expressions. The expressions on either side of the equation are separated by an equals sign (=), and they must have the same value for the equation to be true.
1) 30p = 900
p = 900/30
p = 30
2) h/9 = 11
h = 9 * 11
h = 99
3) t + 32.4 = 62
t = 62 - 32.4
t = 31.4
4) r - 17 = 40
r = 40 + 17
r = 57
5) 5t = 25
t = 25/5
t = 5
6) 8w = 64
w = 64/8
w = 8
7) 9y = 81
y = 81/9
y = 9
8) p + 5 = 12
p = 12 - 5
p = 7
9) a + 2 = 15
a = 15 - 2
a = 13
10) w + 8 = 20
w = 20 -8
w = 12
11) h/6 = 4
h = 6 * 4
h = 24
12) g/8 = 16
g = 16 * 8
g = 128
13) a/7 = 3
a = 3 * 7
a = 21
14) y - 11 = 28
y = 28 + 11
y = 39
15) d - 4 = 12
d = 12 + 4
d = 16
16) w - 10 = 15
w = 15 + 10
w = 25
Hence, solutions for all the equations would be
1. p = 30
2. h = 99
3. t = 31.4
4. r = 57
5. t = 5
6. w = 8
7. y = 9
8. p = 7
9. a = 13
10. w = 12
11. h = 24
12. g = 128
13. a = 21
14. y = 39
15. d = 16
16. w = 25
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Complete the inequality below to describe the
domain of the graph shown.
Domain:
DONE
completo the inequality holow to dogorike the
On solving the provided inequality equation we cans ay that therefore, 60x + 45 <250 is the necessary inequality for the given situation.
Describe inequality.An inequality in mathematics shows how two values are related in an imbalanced algebraic expression. According to inequality signals, one of the two variables on either side of the inequality may be larger than, greater than or equal to, less than, or less than or equal to another value.
If the daily cost for each crew member is $60, the daily wage for crew members is $60, and the daily cost of operations is $45; the amount paid equals the total of the wages for each crew member plus the cost of operations. In this case, let x indicate the size of the crew.
= 60x + 45
Since the maximum daily payment is $250,
In other words, the total payment cannot be more than $250.
60x + 45 ≤ 250
Therefore , the required inequality for given problem is 60x + 45 ≤ 250.
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How is the number of Electoral College seats per state determined? A. by the number of party delegates assigned to the state B. by the total number of
Each state is given a specific amount of "votes" under the "Electoral College" system. The amount of "votes" each state receives is proportionate to its size.
What is the makeup of the Electoral College? There are 538 electors in all. The number of electors allotted to each state is equal to the sum of its two Senate seats plus the number of representatives in the House of Representatives.Three electoral votes are granted to the District of Columbia under the 23rd Amendment. According to the amount of each State's population as established by the Census, each State is given a certain number of electors equal to the sum of its U.S. Senators (which are always two) and U.S. Representatives.There are two steps involved in selecting each State's electors. The political parties in each State first select elector candidate slates before the general election. Second, during the general election, each State's voters choose its electors by voting ballots.To learn more about Electoral College refer to :
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Subtract (9x-12)-(5x-7)
Answer:
Step-by-step explanation:
(9x-12)-(5x-7)=9x-12-5x+7=9x-5x-12+7=4x-5
if you like this pls give me 5 stars, tku!
Z= [?]° i dont know how to type out the question
Answer: first u have to find the perimiter for each side
Step-by-step explanation:
the answer is 100 d z
25
1 point
(3x + 32)
(5x - 8)
Select the correct equation to solve for x,
3x + 32 + 5x - 8 = 180
3x + 32 = 5x - 8
3x + 32 + 5x - 8 = 90
The value of x is 20
Now, According to the question:
The given equation is:
3x + 32 = 5x - 8
To solve the equation for finding the value of x .
32 + 3x = -8 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
32 + 3x -5x = -8 + 5x -5x
Combine like terms:
3x -5x = -2x
32 -2x = -8 + 5x -5x
Combine like terms: 5x -5x = 0
32 -2x = -8 + 0
32 -2x = -8
Add '-32' to each side of the equation.
32 -32 -2x = -8 -32
Combine like terms: 32 -32 = 0
0 -2x = -8 -32
-2x = -8 -32
Combine like terms: -8 -32 = -40
-2x = -40
Divide each side by '-2'.
x = 20
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47.3 , 48.1 ,47.4 ,47.16 , 47.07 least to greatest,please help(,:
Answer:
47.07, 47.16, 47.3, 47.4, 48.1
Step-by-step explanation:
lol
What is 5 in the expression 5x called?
The term 5 in 5x is known as the coefficient of the expression.
A coefficient is defined as a term or a number which is multiplied by a variable. This constant terms generally precedes the variable term.
A coefficient is a generally a multiplicative factor in a polynomial series, or in an equation.
Expressions are mathematical statements which are composed of two terms in which at least one contain variables, numbers, or both. These terms are either numbers or variables or numbers and variables multiplying each other. These expressions are a combination of numbers with mathematical ,operators are used to separate them.
Eg, 2x - 90 =45
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A line has a slope of 1/5 and passes through the point (3,10). What is its equation in point-slope form? Use the specified point-slope form.
The equation of a line that has a slope of 1/5 and passes through the point (3, 10) is y= (1/5)x + (47/5).
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given is that a line has a slope of 1/5 and passes through the point (3, 10)
We can write the slope of the line as -
m = 1/5
For the point (3, 10), we can write -
y = (1/5)x + c
10 = (1/5) x 3 + c
c = 10 - 3/5
c = 47/5
Therefore, the equation of a line that has a slope of 1/5 and passes through the point (3, 10) is y= (1/5)x + (47/5).
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Tim's phone service charges $24.20 plus an additional $0.17 for each text message sent per month. If Tim's phone bill was $28.45, which equation could be used to find how many text messages, x, Tim sent last month? A. $0.17x + $24.20 = $28.45 B. $0.17x - $24.20 = $28.45 C. $24.20x + $0.17 = $28.45 D. $24.20x - $0.17 = $28.45
Answer:
A
Step-by-step explanation:
each text message is .17 text messages are x the total bill is 28.45. the service charges are 24.20.
.17x + 24.50 = 28.45
One-fifth of a bread loaf was shared equally among Herb, Dara, Mark, and Lily. What fraction of the original bread loaf did each person get?
Using the provided values and information, The answer is each person would receive 1/5 of the original bread loaf.
What do you mean by proportion?A proportion is a mathematical statement that compares two ratios. It is an equation that states that two ratios are equal, such as "a/b = c/d." Proportions are often used to solve problems involving fractions, decimals, and percentages. For example, if you know that a particular recipe calls for two cups of flour for every one cup of sugar, you can use this proportion (2/1 = x/3) to figure out how much sugar you need if you want to triple the recipe. The proportion can also be written as 2:1 = x:3.
What do you mean by ratio?A ratio is a mathematical comparison of two or more quantities, typically represented as a fraction. It is a way to compare the size of two or more things. For example, if a recipe calls for 2 cups of flour to 1 cup of sugar, the ratio of flour to sugar is 2:1. This means that for every 2 units of flour, there is 1 unit of sugar. Ratios can also be written using the colon symbol (:) or the word "to". For example, the ratio 2:1 can also be written as 2/1 or 2 to 1. Ratios can be simplified by dividing both the numerator and denominator by a common factor and can be used to compare quantities in different units.
Each person would get 1/5 of the original bread loaf. If the bread is divided equally among four people, then each person would receive 1/4 of the total amount. Since 1/5 is the same as 4/20, and 4 people are receiving the bread, then each person would receive 1/5 of the original bread loaf.
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How do you solve an inequality equation?
There are four fundamental types of inequality: less than ( < ), larger than( > ), less than or equal to ( ≤ ), and more than or equal to( ≥ ).
What is an inequality?The term "inequality" in mathematics refers to a connection between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus. The majority of the time, size comparisons between two numbers on the number line are made.
The most notable instances of social inequality include those related to health care, social class, gender inequality, and wealth disparity. Comparatively speaking, some people in the healthcare system receive better and more skilled care. For these services, they are also likely to pay more.
Steps to solve the inequality:
First, get rid of all fractions by multiplying all terms by the fractions' lowest common denominator. (There is no difference when we multiply by a positive number.)Second, simplify the inequality by merging like words on either side. The sameThird To get the unknown on one side and the numbers on the other, add or subtract the appropriate amounts. The sameFourth, multiply each term in the inequality by the unknown coefficient. The inequality will not change if the coefficient is positive. Inequality will also be reversed if a negative coefficient exists. The crucial distinction between equations and inequalities is this.To know more about inequalities refer to:
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3x-y=2 and 12x-4y=4 parellel or perpendicular line
Answer:
They are parallel line.
Find the total surface area of a cone with a base diameter of 7cm and height of 8cm
Answer: The formula for the surface area of a cone is S = π * r * s + π * r², where r is the radius of the base and s is the slant height of the cone.
To find the surface area of a cone, you first need to find the radius of the base. Since the base diameter is given as 7cm, you can divide this by 2 to find the radius of the base:
r = 7cm / 2 = 3.5cm
Next, you need to find the slant height of the cone. You can use the Pythagorean theorem to do this.
slant height = sqrt(r^2 + h^2) = sqrt(3.5² + 8²) = sqrt(12.25 + 64) = sqrt(76.25) = 8.766cm
Now you can substitute these values into the formula for the surface area of a cone and find the surface area of the cone.
S = π * r * s + π * r² = π * 3.5cm * 8.766cm + π * 3.5² cm² = 12.571 cm² + 38.485 cm² = 51.056 cm²
So the surface area of a cone with a base diameter of 7cm and height of 8cm is 51.056 cm²
Step-by-step explanation:
M(2,4) is the midpoint
between the points A(-2,9)
and B.
Find the coordinates of B.
The coordinates of B are (6,0).
The midpoint of a line segment is the point that is exactly halfway between the two endpoints of the segment. For a line segment with endpoints (x1, y1) and (x2, y2), the midpoint is given by the coordinates:
((x1 + x2) / 2, (y1 + y2) / 2)In this problem, we're given that the midpoint is (2, 4) and we need to find the coordinates of point B. Since we know the coordinates of the midpoint, we can set up the equation:
((x1 + x2) / 2, (y1 + y2) / 2) = (2, 4)We know that point A = (-2,9) is one endpoint, so we can substitute it into the equation
((-2 + x2) / 2, (9 + y2) / 2) = (2, 4)Solving for x2 and y2, we get x2 = 6 and y2 = 0 which is the coordinates of point B.
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!PLEASE HELP ASAP!
These two figures are similar. Find the length of side x.
the length of side x = 12.5.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Here, we have,
From the given figure, we get.
These two figures are similar.
so, we have,
8/x=y/5 ............(1)
10/15=4/z ......(2)
8/15=y/z .....(3)
Solving we get,
x=12.5
Hence, the length of side x = 12.5.
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Please Help! You Dont Have To do the Bottom Questions Just The Top!
Solve for x in this triangle. Round your answer to the nearest tenth. 18 Xº 23
Answer:
51.50004959055205
Step-by-step explanation:
[tex]sin (x) = \frac{18}{23}[/tex]
−
50
67
1. 5−100%=minu, tart fraction, 67, divided by, 50, end fraction, plu, 1, point, 5, minu, 100, percent, equal
Enter the anwer a an exact decimal or implified fraction
The answer as an exact decimal = -0.84 and simplified fraction = −21/25.
What is simplified fraction?Simplifying a fraction is the process of reducing a fraction to its most basic form. If the numerator and denominator of a fraction have no common factors other than one, the fraction is in its simplest form.
When solving fraction problems, we must first simplify them. Even if we simplify them, the fraction's value will remain unchanged. This means that the simplified and actual fractions are equivalent fractions.
Given that
-67/50 + 1.5 − 100% = ?
Lets solve
= -67/50 + 1.5 − 100%
= -67/50 + 1.5 − (100 × 0.01)
= -67/50 + 3/2 - 1
= -67/50 + 75/50 - 50/50
= (-67 + 75- 50)/50
= −42/50
= −21/25
= -0.84
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The container has 1 gallon of water. Each bottle holds 1/8 of a gallon. How many bottles of water does the container hold?
The total quantity of water that the container would have to hold is given as 8.
How to find the total quantity of waterWe know that the container holds 1 gallon of water, and that each bottle holds 1/8 of a gallon. To find out how many bottles the container can hold we need to divide the container size by the size of each bottle.
We can use the following formula to find the number of bottles:
Number of bottles = Container size / Size of each bottle
We can substitute the values into the formula:
Number of bottles = 1 / (1/8) = 8
So the container can hold 8 bottles of water.
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PLEASE HELP! Jake and Hakeem's rocket's flight is approximately modeled by the equation h(t) = - 12t ^ 2 + 36t + 3 where h(t) is the height in meters of their rocket seconds after launch.
Jake and Hakeem's rocket's flight is approximately modeled by the equation h(t) = - 12t ^ 2 + 36t + 3. The rocket's highest point is 30m
What is the height?Generally, Since we are not instructed on what to look for, we are able to determine the highest point that the rocket ever achieved.
Given that the rocket's flight can be approximated approximatively using the equation,
h(t) = - 12t ^ 2 + 36t + 3
At maximum height dh/dt = 0
dh/dt = --24t + 36
0 = -24t + 36
24t = 36
t= 36/24
t = 1.5s
Find out the maximum height.
h(1.5) = - 12 (1.5)^ 2 + 36(1.5) + 3
h(1.5) = - 12(2.25) + 54 + 3
h(1.5) = -27 + 57
h(1.5) = 30m
As a result, the rocket is only capable of reaching a height of 30 meters at its highest point.
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I'm need help asap! i dont get the question, i would appreciate it if somebody could help me( giving brainilest & 20 points)!!!
Look at picture below
Answer:
215/100
Step-by-step explanation:
it is asking for improper fraction
improper fractions are just the bottom number multiplied by the number outside of the fraction so in this case it is
2*100 which is 200 then add that to the top number
which leaves you with 215/100
PLEASE HELP!!! (WORTH 50 POINTS!!!)
4y + 3x = -6
y-x=-5
how can you eliminate the x terms in this system
Answer:
you can eliminate the x terms in this system by multiplying each side by 3.
Step-by-step explanation:
in order to eliminate a variable from a system of equations, you must multiply whatever variable you want to eliminate (in this case, x) by a number that will make the variable you want to eliminate in the first (4y+3x=-6) and second (which is y-x= -5) equations cancel out when adding them together
a written example for further clarification:
step 1:
4y + 3x = -6
3*(y - x = -5)
up here, you can see i'm multiplying the bottom equation by 3 in order to change the value of x from x to -3x, so that when you add the top and the bottom equations together, x is nowhere to be found in the resulting equation (this is what you want)
step 2:
distribute the 3 to all terms in the second equation. this gives you:
(3y-3x = -15).
step 3:
now add this new equation to the first equation (4y+3x=-6).
This gives you:
4y+3x=-6
+
3y-3x=-15
then just add the like terms (4y and 3y, 3x and -3x, -6 and -15).
which gives you (7y=-21)
see how x is not in the resulting equation? you have now successfully eliminated it :] hope this helped!
Please help me !!
this the last question !!
Answer:
2 ≥ p
Step-by-step explanation:
-14 ≤ -7p
Divided both sides by -7. Because divided by a negative number, the < will turn to >
So, the equation is
2 ≥ p
Because there is an equal, the circle will be close and to the left of 2.
Answer:
2 ≥ p
Step-by-step explanation:
Have a great day :) <3