A telemarketer earns $150 each week plus $2 for each call that results in a sale.
a) Write an equation to represent her total weekly pay (P) and number of
sales (x).

Answer:

x = 11°

Step-by-step explanation:

2x + 52 = 7x - 3

5x + 55 = 0

x = 55 : 5

x = 11°

---------------

check

2 * 11 + 52 = 7 * 11 - 3

74 = 74

the answer is good

Answer:

Reduce the expression, if possible, by cancelling the common factors.[(2/3)^2]^3 X (2/3)^2 ÷ (2/3)^8 ​ = 1

Step-by-step explanation:

4/9^3 x (2/3)^2 ÷ (2/3)^8

4/9^3 x 4/9 ÷ (2/3)^8

4/9^3 x 4/9 divided by 256/6561

64/729 x 4/9 divided by 256/6561

= 1

Answer:

m = -19/4

Step-by-step explanation:

-7 = m-9/4

-7 + 9/4 = m

(-28+9)/4 = m

-19/4 = m

Answer:

The metric unit used for milk is the liter, L.

Use Pythagorean theorem to solve this problem.

[tex]a^{2}\ +\ b^{2}=c^{2}\\\\b^{2}=20^{2}-12^{2}\\\\b^{2}=400-144\\\\\sqrt{b^{2}} =\sqrt{256}\\\\b=16\ ft[/tex]

The ladder will reach 16 ft up the wall.

Answer:

Step-by-step explanation:

You divide 7.42 / 1.75 = the answer is 4.24

Answer:

4.24

Step-by-step explanation:

Step 1:

You move both of them by 2 decimal places.

742/175

Step 2:

Divide them:

             4.24

175⟌742

       -700

           420

          -350

              700

            -700

                   0

Answer:

I don't know how to do this math, i'm in 7th grade, but I added the numbers, maybe it's 30?

Step-by-step explanation:

Answer:

12 km

Step-by-step explanation:

going east by 5 km and then west by 5 km brings him 12 km to the north of where he started

Freddie's displacement is a vector with a length of 12 km pointing straight up (in the positive y direction).

Displacement is the distance between the final point and the initial point.

We have,

Freddie's distance traveled is the total length of the path he took, regardless of direction.

To find the distance, we can use the Pythagorean theorem, since he moved in a right-angled triangle:

distance = √(5² + 12² + 5²) = √(25 + 144 + 25) = √194 ≈ 13.928 km

So Freddie's distance traveled is approximately 13.928 km.

Freddie's displacement is the straight-line distance and direction from his starting point to his ending point.

We can represent his movements using vector notation:

East: 5 km to the right = +5 km in the x direction

North: 12 km upwards = +12 km in the y direction

West: 5 km to the left = -5 km in the x direction

The total displacement is the vector sum of these three movements. To calculate this, we can add up the x components and y components separately:

x displacement = +5 km - 5 km = 0 km

y displacement = +12 km

Thus,

Freddie's displacement is a vector with a length of 12 km pointing straight up (in the positive y direction).

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Answer:

72

Step-by-step explanation:

Answer:

16.96

Step-by-step explanation:

8.98 + 7.98=16.96

Answer:

[tex]3584 \div 28 \\ \\ = 128[/tex]

our post which explains the division of three thousand, five hundred and eighty-four by twenty-eight to you.

The number 3584 is called the numerator or dividend, and the number 28 is called the denominator or divisor.

The quotient of 3584 and 28, the ratio of 3584 and 28, as well as the fraction of 3584 and 28 all mean (almost) the same:

3584 divided by 28, often written as 3584/28.

Read on to find the result of 3584 divided by 28 in decimal notation, along with its properties

Here we provide you with the result of the division with remainder, also known as Euclidean division, including the terms in a nutshell:

The quotient and remainder of 3584 divided by 28 = 128 R 0

The quotient (integer division) of 3584/28 equals 128; the remainder (“left over”) is 0.

3584 is the dividend, and 28 is the divisor.

In the next section of this post you can find the frequently asked questions in the context of three thousand, five hundred and eighty-four over twenty-eight, followed by the summary of our information.

The arrangement of the apples in the stack is in a sequence that can be

used to find the number of apples in each row and in the stack.

Correct response:

The given parameters are;

Dimensions of apples in the rectangular base = 7 apples by 5 apples

Number of apples on which each apple above rests = 4 apples

Required:

The number of apples in the stack.

Solution:

The dimensions, length and width of the apples in each row decreases

by 1 compared to the row on which the apple rests, as follows;

In the base, the dimension = 7 by 5

In the row directly above, the dimension = (7 - 1) by (5 - 1)

The number of apples sequence continues and is completed by a singles row of apples at the top, from which gives;

Number of apples in the stack = 7 × 5 + 6 × 4 + 5 × 3 + 4 × 2 + 3 × 1 = 85

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Answer:

Slope is 2 and y- intercept is -5 so y = 2x -5

Answer:

Eric drove 28 7/11 miles with 1 gallon of gas.

Step-by-step explanation:

You just use long division and do 315 divided by 11, and you should get 28R7 so you just turn that R7 into 7/11.

Have a nice rest of your day :)

A. The value of units is 5/8 to 1 unit

B. The value of 5 units as an improper fraction is; 25/8.

C. The value of 5 units, as a mixed number is; 3 1/8

The tape model given is; 5/8 × 11.

On this note, we can conclude that;

A. 1 unit is equivalent to 5/8

B. The value of 5 units as an improper fraction is therefore given by; 5/8 × 5

C. The value of 5 units, as a mixed number is evaluated from 25/8 and is given as;

Read more on units and models:

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Answer:

The same shape but aren't always the size. Corresponding angles must be congruent. Corresponding sides are proportional.

Step-by-step explanation:

Answer:

-49

Step-by-step explanation:

hope this helps!!

Answer:

-67 is the answer.

Step-by-step explanation:

I hope this helps.

Answer:

38 square feet

Step-by-step explanation:

Triangle 1: area = bh / 2 -> 3x4 / 2 = 6 square feet

Triangle 2: area = 4x4 / 2 = 8 square feet

Rectangle: area = 8x3 = 24 square feet

6 + 8 + 24 = 38 square feet

Answer:

1/6

Step-by-step explanation:

When the y is isolated on one side and is not multiplied by anything (other than one), the slope is the value before the x. In this case, it's 1/6. And in if y is perfectly isolated, then the y-intercept is the value after the x, which is positive 3/2 in this case.

Answer:

a₃ = 135

Step-by-step explanation:

using the recursive rule and a₁ = [tex]\frac{5}{3}[/tex] , then

a₂ = a₁ × - 9 = [tex]\frac{5}{3}[/tex] × - 9 = 5 × - 3 = - 15

a₃ = a₂ × - 9 = - 15 × - 9 = 135

Answer:

135

Step-by-step explanation:

since this is a recursive formula it shows that 5/3 is our 1st term and the common ration is -9 see: Step 1. a(1)=5/3  a(2) = Step 2. a(1)x-9=-15

Step 3. a(3) = -15x9=135 i hope this helps :D bye have a good day!!!!

Answer:

[<5 x< 13]

Step-by-step explanation:

this is the answer to it

Answer:

we know that it can travel 88 feet in 2 seconds, this means that it can travel 30x that amount in a minute since 2 is 1/30 of a minute.

so  basically 88ft/2sec= 2640ft/1min.  the car can travel 2640 feet in a minute

Answer:

Answer= B.angle with the greatest measure

Divide the amount of cereal left by total people:

1/6 / 5 = 1/6 x1/5 = 1/30 of the box.

answer: 1/30

Answer:

You take 1/6 divide 5 = 1/30

Step-by-step explanation:

1/6 divide 5 means 1/6 x 1/5 = 1/30

Answer:

Step-by-step explanation:

The inverse is found by interchanging the x and y values and solve the result for y.

I will use y for f(x)

y = 4x^2

Inverse

x = 4y^2              Divide by 4

x/4 = 4y^2 /4    

x/4 = y^2             Take the square root of both sides.

sqrt(x/4) = sqrt(y^2)

y = sqrt(x/4)

g(x) = sqrt(x/4)  If you have a very fussy teacher, the inverse function could be written as

g(x) = +/- sqrt(x)/2

I expect that if the question is computer marked, I would try g(x) = sqrt(x)/2 first.

The cost for one steak burger is $4.5. The price/ The cost of one order of fries is $2.25

Let one steak burger cost $x

and one fries order cost $y

Hence, we have

3x+2y = 18-----------1

2x+3y = 15.75-------2

multiply equation 1 by 2 and equation 2 by 3

6x + 4y = 36 ---------3

6x +  9y = 47.25 ----4

subtraction 4 from 3 we have

0x -5y = -11.25

Divide both sides by -5

y = 11.25/5

y = $2.25

Put y = 2.25 in equation 1 to find x

3x+2(2.25) = 18-----------1

3x + 4.5 = 18

3x = 18 -4.5

3x = 13.5

x = 13.5/3

x = $4.5

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Answer:

we know,

area of circle = πr²

area of semicircle of circle having diameter of 16.

according to formula = πr²

radius = 16/2 = 8 cm

22/7 × (8)² → 22/7 × 64 → 1408/7 = 201.14/2 = 100.57 cm (approx.)

area of semicircle of circle having diameter of 20 cm.

22/7 × 20² = 22/7 × 400 = 8800/7 = 1257.14/2 = 628.57

to get the area of shaded part 628.57 - 100.57 = 528 cm² (approx.)

hope this helps you!

Answer:

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable. x = 22

Answer:

22

Step-by-step explanation:

The diagonals are divided into 2 parts. They're both equal to each other in order to equal the total length.

Setting them up to equal each other is the easiest way to solve.

2x + 18 = x + 40.

Now with simple algebra, we can find the sidelength of x.

Subtract both sides by x.

x + 18 = 40

Subtract both sides by 18.

x = 22.