11 students could sell 1870 cookies.
Explain about the expressions?A statement, at least two variables or integers, and one or more arithmetic operations make up a mathematical expression. This mathematical operation enables the multiplication, division, addition, or subtraction of numbers.
Combining numbers, variables, and operators to represent something's value is known as a mathematical expression. Setting two expressions equal to one another creates an equation, a mathematical statement.
An expression is a collection of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) Expressions and phrases are similar in certain ways. Language phrases can comprise actions on their own, but they do not make up complete sentences.
= 10 X 17
= 170 X 11
= 1870
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Elijah has some candy bars he wants to give away. He will give each person 8 of a candy bar. If he has 3 2- 4 candy bars to give away, how many people will get candy? Show your thinking.
Answer:
He got 32 candy, he give each person , 3,50. or give only tree each person. and he live 8 candy.
What is the equation of this line of best fit in slope-intercept form?
y = negative one halfx + 8
y = −2x + 8
y = −8x + one half
y = −8x + 2
Therefore , the solution of the given problem of slope comes out to be
y = (-1/2)x + 8.
Define slope.The slope-intercept formulation of an equation is used to represent each time the formula of a line is stated as y = mx + b. The line's slope is represented by the m. Additionally, b is the b in the y-intercepting point (0, b). For instance, the y-intercept is at (0, 7) and the slope is 3 in the formula y = 3x - 7.
Here,
Locate the slope first.
These two positions (0, 8) and are in the line, therefore we know that (6,5)
Slope: (y2-y1)/(x2 - x1)
Slope = 8-5 / 0-6
Slope = 3/-6 => Slope = -1/2
The gradient is -1/2. When x = 0, you can find the y-intercept. We also know that the line passes through the point (0,8), and since x = 0, the y-intercept is equal to 8.
using the slope-intercept form, which is
Using the equation y = mx + b, where m denotes the slope and b the y-intercept, we get:
y = (-1/2)x + 8
Therefore , the solution of the given problem of slope comes out to be
y = (-1/2)x + 8.
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3/5 times 1/4 simplest form
Answer:
3/20
Step-by-step explanation:
To do this multiply the numerators (the top numbers) together first.
3 * 1 = 3
This is the numerator (the top number) of the answer fraction.
Next we take the bottom numbers:
5 * 4 = 20
We have 3/20 as our fraction. We know 3 is a prime number and can only be divided by 1 or 3. 20 cannot be divided by 1 or 3 so this fraction cannot be simplified any more.
Work out the value of (6.31 x 10^5)+(2.6 x 10^4)
Give your answer in standard form
The answer in standard form is given by 65.7 ×10⁴
What is the Standard Form of a Number?A standard form of a number in Maths is basically mentioned for the representation of large numbers or small numbers. We use exponents to represent such numbers in standard form.
Given here: (6.31 x 10⁵)+(2.6 x 10⁴)
Simplifying the equation further we get
(6.31 x 10⁵)+(2.6 x 10⁴)= 63.1×10⁴+2.6×10⁴
=65.7×10⁴
Hence, The answer in standard form is given by 65.7 ×10⁴
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Each dot in the following dot plot represents the number of goals Luis scored in one lacrosse
season.
H
43
44
+
+
45
46
Number of goals
47
1
48
Find the interquartile range (IQR) of the data in the dot plot.
I goals
The interquartile range (IQR) of the data in the dot plot is 3.5.
What is IQR?The interquartile range is a measure of where the “middle fifty” is in a data set. Where a range is a measure of where the beginning and end are in a set, an interquartile range is a measure of where the bulk of the values lie. That’s why it’s preferred over many other measures of spread when reporting things like school performance or SAT scores.
In descriptive statistics, the interquartile range is a measure of statistical dispersion, which is the spread of the data. The IQR may also be called the midspread, middle 50%, fourth spread, or H‑spread. It is defined as the difference between the 75th and 25th percentiles of the data.
The upper and lower median values are shown below which would be the mean of the 2 middle values shown in the brackets below:
43, (44, 44,) 44, | 45, | 45, (47, 48,) 48
Upper median (Q3) = (47+48) ÷ 2 = 47.5
Lower median (Q1) = (44+44) ÷ 2 = 44
=>Step 4: Subtract the lower median from the upper median to get the IQR.
IQR = Upper median (Q3) - Lower median (Q1)
IQR = 47.5 - 44
IQR = 3.5
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Solve: 8w + 5= 4 (2 w+1)=
Answer: No Solutions
Step-by-step explanation:
8w + 5= 4 (2 w+1)=
8w+5=(4)(2w)+(4)(1)
8w+5=8w+4
-8w -8w
5=4
-5 -5
0=-1
Which means there are No Solutions.
Answer:
8w+5=4(2w+1)
8w+5=8w+4
collect like terms
8w-8w = 4-5
0=-1
there is no solution
P is the centroid of ΔXYZ. If XU = 48, what is PU?
The value of the PU in the given triangle is 19.
What is centroid?The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together. A line connecting a side's midpoint and the triangle's opposite vertex is called the median.
Given,
'p' is the centroid of triangle XYZ and XU is 57.
Since p is the centroid the 'U', 'V', and 'W' are the mid pint of side'YZ', 'XZ', and 'XY'
from the centroid Theorem, we can write;
XP = 2/3 * XU
plug the values 'XU' in the above equation:
XP = 2/3 *57
XP = 2*19
XP = 38
from figure:
XP + PU = XU
PU = XU - XP
Plug 'XU' and 'XP'
PU = 57 -38
PU = 19
therefore, the PU of the given triangle is 19 units.
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Complete question:
can someone please tell which congruency do you use and how?
To prove that ΔABC is isosceles.
Properties of an isosceles triangle.An isosceles triangle is a type of triangle in which the length of its two sides, and measure of its two internal angles are equal. When a bisector of an angle is drawn to one of the internal angles of the triangle, two congruent triangles of corresponding properties are produced.
To prove that ΔABC is isosceles, we have:
<CAD ≅ <BAD (definition of an angle bisector)
CD ≅ BD (definition of a midpoint)
AC ≅ AB (congruent sides of an isosceles)
<ACD ≅ <ABD (congruent internal angles of an isosceles)
<ADC ≅ <ADB (definition of right angle)
Therefore it can be concluded that;
ΔABC is an isosceles triangle (Angle-Side-Side theorem)
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Given (x – 7)2 = 36, select the values of x.
A 40-liter fish tank is being filled with a faucet at a constant rate of 2 liters per minute. Before the faucet is turned on, the fish tank has a volume of 3 liters. The volume of water V in the fish tank is a function of time t. Time is measured in minutes and volume of water is measured in liters. Use the equation to complete the function table.
The volume of water in the fish tank for the given time value is 0, 5, 7, 9, 11, and 13 liters.
The equation V = 3 + 2t expresses a time function, which represents the volume of fish tank as a function of time. It means that after t time, volume V is given by the equation. In the given table. t = 0,1,2,3,4,5. Hence, the volume can be determined by substituting the value of t in the equation.
When t = 0
V = 3 + 2(0) = 3 liter
When t = 1
V = 3 + 2(1) = 5 liter
When t = 2
V = 3 + 2(2) = 7 liter
When t = 3
V = 3 + 2(3) = 9 liter
When t = 4
V = 3 + 2(4) = 11 liter
When t = 5
V = 3 + 2(5) = 13 liter
Note: The question is incomplete. The complete question probably is: A 40-liter fish tank is being filled with a faucet at a constant rate of 2 liters per minute. Before the faucet is turned on, the fish tank has a volume of 3 liters. The volume of water V in the fish tank is a function of time t. Time is measured in minutes and volume of water is measured in liters. Use the equation V = 3 + 2t to complete the function table.
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What is the inverse of 12?
The inverse of 12 as calculated by the given data is found to be 1/12.
The inverse can be found by finding its reciprocal the number ,
inverse of 1 = 1 / 12
There are two types of inverse , additive inverse and multiplicative inverse .
The additive inverse can be found by finding the negative of the number. The multiplicative inverse, often known as the reciprocal, is another inverse of a number.
The multiplicative inverse, often known as the reciprocal, is another inverse of a number. The product of a reciprocal multiplied by the original number is always 1.
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Help with a bit of math??
Answer:
b.x=30
c.x=21
Step-by-step explanation:
Determine the intercepts of the line. Do not round your answers. y-4=7(x-6)y−4=7(x−6)y, minus, 4, equals, 7, left parenthesis, x, minus, 6, right parenthesis xxx-intercept: \Big((left parenthesis ,,comma \Big))right parenthesis yyy-intercept: \Big((left parenthesis ,,comma \Big))
The y-intercept of the line y = 7x -38 is -38. And the x-intercept is 0
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Given:
The equation of the line,
y-4=7(x-6)
Simplify,
y -4 = 7x - 42
y = 7x -38
And slope-intercept form:
y = mx + b,
where m is the slope and y is the intercept.
Comparing with the slope intercept form,
we get,
m = 7 and b = -38
And the x-intercept is 0
Therefore3, y-intercept is -38.
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Please solve for the x. Thank you
The value of x will be;
⇒ x = 35
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
In Rectangle RSTW;
⇒ RZ = 3x + 6
⇒ SW = 7x - 23
Since, By the figure we conclude that;
⇒ 2 RZ = SW
Substitute the given values, we get;
⇒ 2 RZ = SW
⇒ 2 (3x + 6) = 7x - 23
⇒ 6x + 12 = 7x - 23
⇒ 12 + 23 = 7x - 6x
⇒ 35 = x
⇒ x= 35
Thus, The value of x = 35
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Help Me Out ASAP please
On solving the provided question, we can say that - here in this inequality 17[tex]\leq[/tex]2x - 3[tex]\leq[/tex]25
What is inequality?A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.
17[tex]\leq[/tex]2x - 3[tex]\leq[/tex]25
[tex]20\leq 2x\leq 28\\10\leq x\leq 14[/tex]
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Graph the line y=-2x-1
Answer:2024
Step-by-step explanation:
What is the coefficient of x² in the polynomial x³ 4x² 7x 2?
The provided phrase, x3+4x2+ 7x+ â' 2 has four terms. and coefficient are 1 , 4 ,7 for the expression
What does the phrase mean?
Expressions are made up of terms. A term might be either a constant, a variable, or a combination of both.
What kind of phrase would that be?
A single letter, a single positive or negative integer, or a number of variables multiplied but never added or subtracted might be the only variable. A number is placed in front of some nouns that have variables. The number used before a sentence is called a coefficient. single-word illustrations: Three times in one phrase.
The mathematical operator + separates the four components in the equation x3+4x2+ 7x+â' 2.
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A picosecond in one trillionth of a second. How many picoseconds are there in 12 minutes?
Answer:
720,000,000,000,000 or 720 trillion picoseconds.
Step-by-step explanation:
1 picosecond = 1 trillionth of a second. Therefore 1 second has 1 trillion picoseconds:
0.000 000 000 001 seconds = 1 picosecond
0.000 000 000 001 * 1,000,000,000,000 seconds = 1 * 1,000,000,000,000 picosecond
1 second = 1,000,000,000,000 picoseconds
Now, one minute is the same as 60 seconds so we multiply the equation by 60:
1 minute = 60 seconds = 60,000,000,000,000 picoseconds
Finally, we need 12 minutes to be converted to picoseconds.
12 minutes = 720 seconds = 720,000,000,000,000 picoseconds.
So therefore, 12 minutes is equal to 720,000,000,000,000 picoseconds or 720 trillion picoseconds.
Hope this helps!!!
Market Research Math Quiz
QUESTION 9 of 10: A market research survey has 15 questions and will be sent to 500 people. What is the total cost to conduct the survey if
it has a $1,000 base fee plus $5 per question and $2 per person surveyed?
a
a) $2,075
b) $2,920
c) $3,092
d) $4,022
a
Submit
The total cost of the market research survey is $1000 (base fee) + $75 (cost per question) + $1000 (cost per person surveyed) = $2075.
The total cost to conduct the market research survey is calculated by adding the base fee, the cost per question, and the cost per person surveyed.
The survey has 15 questions and will be sent to 500 people. The survey has a base fee of $1000, which is a fixed cost regardless of the number of questions or people surveyed.
Additionally, the survey has a cost of $5 per question, which is calculated by multiplying the number of questions by the cost per question.
Lastly, the survey has a cost of $2 per person surveyed, which is calculated by multiplying the number of people surveyed by the cost per person surveyed. By adding all these costs together we get the total cost of the survey $2075 which is a combination of fixed and variable costs.
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given that y=15-2x,copy and complete the table below giving the values of y for x=-4,0,4,8,12
At the movie theatre, child admission is $5.10 and adult admission is $8.90. On Sunday, 156 tickets were sold for a total sales of $1145.20. How many child tickets were sold that day?
let y = number of child tickets so the total 0f 34 child tickets is sold at that day.
Define substitution.To calculate an expression's value by substitution, integers are substituted for letters in the expression.
Define expression.Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
let x = number of adult tickets
let y = number of child tickets
x = 4y (four times as many adult tickets as child tickets
8.4x + 5.1y = 1315.8
but we can substitute 4y for x
8.4(4y) + 5.1y = 1315.8
33.6y + 5.1y = 1315.8
38.7y = 1315.8
y = 34 and x = 4Y
x = 136
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A teacher wants to check the typing proficiency of five students. She gives all of them the same passage to type. Which student is likely to be accurate in the typing test
Solving the question asked, we can say that it is more likely that the student uses a random finger for typing.
What is probability?Probability theory is a branch of mathematics that measures the probability that an event or statement is true. The probability of an event is a number between 0 and 1, with approximately 0 indicating that the event is unlikely and 1 indicating that it is certain. Probability is a numerical representation of the likelihood or probability of a particular event occurring. Another way to express probability is a percentage from 0% to 100%, or 0 to 1. Percentage of events in the complete set that are equally likely to lead to a particular event compared to the total number of outcomes.
here,
Probabilistically, we can say that the student is using random fingers for typing. Students are more observant and therefore more likely to be accurate on typing tests.
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Complete question: A teacher wants to check the typing proficiency of five students. She gives the same passage to type to all of them. Which student is likely to be accurate at the typing test?
A) students who use one hand to type
B) the student who uses random fingers to type
C) student who types by looking at the keyboard
D) student who corrects errors by looking at the keyboard
E) student who uses macros for long words
Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
Answer:
The statement "The value of f(–10) = 82" is not true. To find the value of f(–10), we substitute –10 for x in the equation:
Step-by-step explanation:
The statement "The value of f(–10) = 82" is not true. To find the value of f(–10), we substitute –10 for x in the equation:
f(–10) = (–10)^2 – 5(–10) + 12 = 100 – (–50) + 12 = 162
The statement "The graph of the function is a parabola" is true. Because the equation of the function is of the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a is not equal to 0, the graph of the function is a parabola.
The statement "The graph of the function opens down." is true. The coefficient of x^2 is a positive value, which means the parabola opens down.
So, the true statements are
The graph of the function is a parabola.
The graph of the function opens down.
The graph does not contain the point (20, –8)
A study by the department of education of a certain state was trying to determine the
mean SAT scores of the graduating high school seniors. The study found a confidence
interval for the mean score to be between 440 and 472. What is the margin of error
on the survey? Do not write on the margin of error.
Explanation:
The confidence interval spans from 440 to 472. This is a width of 472-440 = 32 units. It divides in half to get 32/2 = 16. We can think of this as the "radius" of the confidence interval, and it represents the margin of error. It's the distance from the center to either endpoint of the interval.
Side note: use the midpoint formula to determine the center.
How do you simplify F G?
F G cannot be simplified because it is not an equation, it is a phrase.
1. First, determine what F G is. In this case, F G is a phrase and not and equation.
2. Since F G is a phrase, it cannot be simplified.
Determining what F G is the first step to simplifying it. F G is a phrase and not an equation, so it cannot be simplified. Simplifying an equation or expression requires breaking it down into its individual parts and then combining like terms or rearranging the equation to make it simpler. However, F G is not an equation and therefore cannot be simplified.
F G cannot be simplified because it is not an equation, it is a phrase.
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Solve for x in this triangle. Round your answer to the nearest tenth. 15 42° X
Answer:
x ≈ 47.0°
Step-by-step explanation:
using the cosine ratio in the right triangle.
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{15}{22}[/tex] , then
x = [tex]cos^{-1}[/tex] ( [tex]\frac{15}{22}[/tex] ) ≈ 47.0° ( to the nearest tenth )
Last week, a dairy farm produced n kg of cheese.
The dairy farm also produced 30 kg more yoghurt than cheese and 4 times
as much ice cream as cheese.
The dairy farm produced more kilograms of ice cream than yoghurt last
week.
Write and solve an inequality to work out the possible values of n.
Answer:
The dairy farm produced 30 + n kg of yoghurt, where n is the number of kilograms of cheese produced.
The dairy farm also produced 4n kg of ice cream, where n is the number of kilograms of cheese produced.
Since the dairy farm produced more kilograms of ice cream than yoghurt, we can write the following inequality:
4n > 30 + n
Subtracting n from both sides gives us:
3n > 30
Dividing both sides by 3 gives us:
n > 10
Therefore, the possible values of n are any value greater than 10, such as 11, 12, 13, 14, and so on.
Step-by-step explanation:
What are ideal and real solutions?
Solutions refers to the answer to the problem, Real Solutions are realistic and practical whereas ideal solutions are the best cases for the solutions.
What do you mean by a solution?In mathematics, a solution refers to a value or set of values that satisfies a given equation, system of equations, or problem. For example, if the equation is x + 2 = 4, then the solution is x = 2, because substituting 2 for x in the equation makes it true. In the case of systems of equations or more complex problems, a solution may be a set of values that satisfies all the equations or conditions of the problem. In such case, the solution may be represented graphically or as coordinates of a point.
What are ideal and real solutions?In mathematics, an ideal solution refers to a solution that meets all the desired criteria or requirements without any constraints. It is the "best case" scenario. A real solution, on the other hand, refers to a solution that takes into account all the limitations and constraints of a problem. It is a more practical and realistic solution.
Ideal Solutions - Best cases, Usually not possible.
Real Solutions - Practical and possible to attain.
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Last year, Michael was 36 inches tall and grew 0. 75 inch each month. Caroline was 39 inches tall and grew 0. 4 inch per month. How many months passed before they reached the same height?
In 8 months and 17 days Michael will reach the height of Caroline.
What is Linear Equation ?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, whereas B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
Ax + B = 0, where A and B are both real integers, and x is the only variable, is the standard form or general form of a linear equation in one variable. Ax + By = C is the formula used to describe linear equations with two variables, where x and y are the variables and A, B, and C are any real values.
Let in x months Michael and Caroline will be at same height so,
36 + 0.75x = 39 + 0.4x
⇒0.35x = 3
⇒x = 8.57
So, in 8 months and .57*30 = 17 days Michael will reach the height of Caroline.
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Find the midpoints of the line segment
Fine the distance between each pair of the points
Answer: #18 is (1/2,0)
#19 (0,-1)
#20 5
#21 8√2 or 11.313708498985
Step-by-step explanation: