A school paid $31.25 for each calculator.

a. If the school bought x calculators, how much did they pay?

b. The school spent $500 on calculators. How many did the school buy?

Answer:

3/4 or in mixed number 1 13/28

Step-by-step explanation:

Answer:

The digit in the ten thousand place is 4 in 542,970

Step-by-step explanation:

The length of KO in the given segment is 8 units.

Given:

The segment KO can be broken into two equal portions at point N since N is the segment's midpoint. KN thus equals NO.

KN can be divided into two equal pieces at point L, which serves as the segment's halfway. KL = LN as a result.

LN can be divided into two equal pieces at point M, which serves as the segment's halfway. ML thus equals MN.

The following relationships can be inferred from the information provided:

KL = LN

ML = MN = 2

The length of KO must be determined. We can utilize the following relationships to accomplish this:

KL + LN = KN (by adding the two equations)

KL + KL = KN (since KL = LN)

2KL = KN

Let's now replace the known values:

2 + 2 = KN

4 = KN

Since N is the midpoint of KO, KN = NO.

Therefore, NO = 4.

By combining the lengths of KN and NO, we can finally get the length of KO:

KO = KN + NO = 4 + 4 = 8

Hence, the length of KO is 8.

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The coordinates of point P are (5, -3.5). The equation of the circle is \((x - 5)^2 + (y + 3.5)^2 = 1.5^2\). The equation of KL is y = (-4/3)x + 22/3.

To find the coordinates of point P, we can first find the midpoint of MN, which is the center of the circle. The midpoint formula is given by:

Midpoint = ( (x1 + x2) / 2 , (y1 + y2) / 2 )

Using the coordinates of M(3,-5) and N(7,-2), we can calculate the midpoint:

Midpoint = ( (3 + 7) / 2 , (-5 + -2) / 2 ) = (5, -3.5)

Since the midpoint of MN is the center of the circle, the coordinates of P will be the same as the coordinates of the center, which are (5, -3.5).

i. To determine the equation of the circle in the form of \((x-a)^2\) + \((y-b)^2\) = \(r^2\), we can use the center and any point on the circle. We can use point N(7,-2), which lies on the circle.

The radius of the circle is half the length of PN. Therefore, the radius is given by:

Radius =\(1/2 * \sqrt((7 - 5)^2 + (-2 - (-3.5))^2) = 1.5\)

Substituting the values into the equation, we get:

\((x - 5)^2 + (y + 3.5)^2 = 1.5^2\)

ii. To determine the equation of KL in the form of y = mx + c, we can use the slope of the tangent line.

The slope of KL can be calculated as the negative reciprocal of the slope of the radius line MN. The slope of MN is given by:

m = (y2 - y1) / (x2 - x1) = (-2 - (-3.5)) / (7 - 5) = 1.5 / 2 = 0.75

The negative reciprocal of 0.75 is -4/3, which represents the slope of KL.

Using the point N(7,-2) and the slope -4/3, we can use the point-slope form of a line to find the equation of KL:

y - (-2) = (-4/3)(x - 7)

y + 2 = (-4/3)x + 28/3

y = (-4/3)x + 22/3

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Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer:

Just find the area of each shape .fir the first triangle it will be (0.5 x6 x6) so the answer is 18 . So the shaded part is 18 out of 100 or 18% . And so on for the trapezoid and the combined figure of square and triangle together

Step-by-step explanation:

The number of meetings they attended in the last five years (x) and the number of papers they submitted to peer reviewed journals (y) during the same period is \(-8.6+3.15\).

What is formula for slope and intercept is?

\($$\begin{aligned}& b=\frac{n \sum x y-\left(\sum x\right)\left(\sum y\right)}{n \sum x^2-\left(\sum x\right)^2} \\& a=\bar{y}-b \bar{x} \\& \hat{y}=a+b x\end{aligned}$$\)

The slope is

\($$\begin{aligned}b & =\frac{n \sum x y-\left(\sum x\right)\left(\sum y\right)}{n \sum x^2-\left(\sum x\right)^2} \\& =\frac{12 \times 318-(12 \times 4)(12 \times 4)}{12 \times 232-(12 \times 4)^2} \\& =3.15\end{aligned}$$\)

The intercept is

\($$\begin{aligned}a & =\bar{y}-b \bar{x} \\& =4-3.13 \times 4 \\& =-8.6\end{aligned}$$\)

The regression equation is

\($$\begin{aligned}\hat{y} & =a+b x \\& =-8.6+3.15 x\end{aligned}$$\)

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Answer:

12 inches

Step-by-step explanation:

now i am assuming kevin took 6 inches of the sub before the game because it says "there was still 30 inches of the sub when the game started". In that case, add 6 and 30 to get 36. Because the sub was cut into 3 equal pieces, divide 36 by 3 and get 12 inches as your final answer.

Answer:

x ≥ 1.5

Step-by-step explanation:

2x - 3 ≥ 0 ( add 3 to both sides )

2x ≥ 3 ( divide both sides by 2 )

x ≥ 1.5

The operation that will result in a trinomial for the given expression is subtraction operator ( - ).

A trinomial is an algebraic expression that has three terms. It is also a polynomial consisting of three terms or monomials.

The given polynomial expression;

( 4x⁵ - 8x ) ?  (3x² - 8x + 9 )

To simplify the given polynomial expression into trinomial, we will use the following operation.

The chosen operation will be such that, we will have only three terms left after simplification.

So we will choose subtraction operator "-"

( 4x⁵ - 8x ) -  (3x² - 8x + 9 )

= 4x⁵ - 8x  - 3x² + 8x - 9

simplify further; (-8x and +8x will cancel out)

= 4x⁵ - 3x² - 9

Finally, we have our desired trinomial as 4x⁵ - 3x² - 9.

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Answer:

Equations: 10+1 & 10-1

This would trick them good!

Answer: Andre should buy Car 2. Brainliest?

Step-by-step explanation:

To compare the gas mileage of the two cars, we need to find out how many miles each car can travel per gallon of gas.

For Car 1: y = 25x

This means that for every gallon of gas used (x), the car can travel 25 times that amount in miles (y). So, the gas mileage for Car 1 is 25 miles per gallon (mpg).

For Car 2: we can calculate the miles per gallon by dividing the total miles traveled by the number of gallons of gas used:

For 2 gallons of gas, the car can travel 60 miles. So, the gas mileage is 30 mpg (60 miles ÷ 2 gallons).

For 5 gallons of gas, the car can travel 150 miles. So, the gas mileage is 30 mpg (150 miles ÷ 5 gallons).

For 7 gallons of gas, the car can travel 210 miles. So, the gas mileage is 30 mpg (210 miles ÷ 7 gallons).

For 8 gallons of gas, the car can travel 240 miles. So, the gas mileage is 30 mpg (240 miles ÷ 8 gallons).

For 11 gallons of gas, the car can travel 330 miles. So, the gas mileage is 30 mpg (330 miles ÷ 11 gallons).

Therefore, Car 2 has a consistent gas mileage of 30 mpg.

From the above calculations, we can see that Car 2 has a better gas mileage compared to Car 1. Car 2 can travel 30 miles on a gallon of gas, while Car 1 can only travel 25 miles on a gallon of gas.

Therefore, Andre should buy Car 2 if he wants to get the best gas mileage. Car 2 can travel 5 more miles per gallon than Car 1.

The value of f(g(1) from the table of functions is given as 1.

Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

A function is a procedure or a relation that links each element of a non-empty set A, at least one element of another non-empty set B, to another element of the first non-empty set A. In mathematics, a relation f between two sets, A and B, is referred to as the function's domain and co-domain.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

when x = 1

g(x) = 3

or f(g(1) = f(3) = 1

The value of f(g(1) from the table of functions is given as 1.

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Answer:

5

Step-by-step explanation:

|8| - |14 - 11|

8 - 3

5

Answer:

2 hours

Step-by-step explanation:

hopefully

Answer:

Constant

Step-by-step explanation:

there numbers with no variables next to them and coefficient's do. :)

Answer:

constant

Step-by-step explanation:

Answer:

2/9=0.22

Step-by-step explanation:

Hope this helps :)

Answer:

0.22

Step-by-step explanation:

If we divide 300 into parts using the ratio 2:3:5, we get:

2 parts = 2/10 of the total ratio = 2/10 x 300 = 60

3 parts = 3/10 of the total ratio = 3/10 x 300 = 90

5 parts = 5/10 of the total ratio = 5/10 x 300 = 150

Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.

I hope I helped!

~~~Harsha~~~

Answer: 18.78 cubic feet

Step-by-step explanation:

The detailed analysis is attached below.

Answer:

y

a= ——

(r + 1 )t

Step-by-step explanation:

divide both sides

Answer:

False

Step-by-step explanation:

Answer:

\(m ^ {3/7}\)

Step-by-step explanation:

=> \(\sqrt[7]{m^3}\)

\(\sqrt[7]{}= ^\frac{1}{7}\)

=> \(m^{3*1/7}\)

=> \(m ^ {3/7}\)

In calculating the factor A variation, there are two degrees of freedom. In determining the variation of factor B, there are two degrees of freedom.

A two-factor factorial design is an experiment that collects data for all potential values of the two factors of the study. The design is a balanced two-factor factorial design if equivalent sample sizes are used for every of the possible factor combinations.

Suppose we have two components, A and B, each of which has a high number of levels of interest. We will select a random level of component A and a random level of factor B, and n observations will be taken for each experimental combination.

From the data given:

a.

In calculating the factor A variation, there are two degrees of freedom.

In determining the variation of factor B, there are two degrees of freedom.

b.

Finding the degree of freedom using the interaction variation, there are four degrees of freedom.

c.

In finding the random variable, there are 9(4-1) = 27 degrees of freedom.

d.

In calculating the total variable, there are 9*4-1 =35 degrees of freedom.

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i think you're wanting this simplified; 0.5x^4 + 10.5

Answer: 0.5x^4+10.5

Step-by-step explanation: hope this helps!

Answer:

A .either an algebraic expression or a numerical value

Step-by-step explanation:

Required

The result of simplifying an algebraic expression

The result could be a value of an expression and the proof is as follows:

Let the expression be:

\(z = 3x^2 - xy + 2xy -xy - 3x^2 + 2\)

When simplified (collect like terms)

\(z = 3x^2 - 3x^2- xy + 2xy -xy + 2\)

\(z = 0- xy + 2xy -xy + 2\)

\(z = xy -xy + 2\)

\(z = 2\)

In this case, the result is 2 (a value).

In another case:

\(z = 3x^2 - xy + 2xy + 2\)

When simplified (collect like terms)

\(z = 3x^2 + xy + 2\)

Here, the result is an algrbraic expression.

Answer:

Not too sure about this one, but I hope this helps.

Step-by-step explanation:

basically I just used the formula y=mx+b

m is the slope

and b is the y intercept

Answer:

33

Step-by-step explanation:

9 out of 24

x out of 88

so by interpolation it's gonna be 33.

The measures of the angles to the nearest degree are:

a) A ≈ 36 degrees

b) B ≈ 23 degrees

c) C ≈ 2 degrees

To find the measure of the angle to the nearest degree given trigonometric ratios, we can use inverse trigonometric functions.

Here are the steps to determine the angles:

a) sin A = 0.6018

Taking the inverse sine (arcsin) of both sides:

A = arcsin(0.6018)

Using a calculator, we find A ≈ 36 degrees (rounded to the nearest degree).

b) cos B = 0.9205

Taking the inverse cosine (arccos) of both sides:

B = arccos(0.9205)

Using a calculator, we find B ≈ 23 degrees (rounded to the nearest degree).

c) tan C = 0.0349

Taking the inverse tangent (arctan) of both sides:

C = arctan(0.0349)

Using a calculator, we find C ≈ 2 degrees (rounded to the nearest degree).

Therefore, the measures of the angles to the nearest degree are:

a) A ≈ 36 degrees

b) B ≈ 23 degrees

c) C ≈ 2 degrees.

Note: Trigonometric functions have periodicity, meaning there may be multiple angles with the same trigonometric ratio.

To determine the principal angle within a specific range, we use the inverse trigonometric functions.

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If £1 = $1.33, £8 is $10.64.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

£1 = $1.33

Multiply 8 on both sides.

£8 = 8 x $1.33

£8 = $10.64

Thus,

£8 is $10.64

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