A store owner spends 7x + 13 dollars on two orders of boxes of light bulbs, including shipping.

Part A
If she spends 3x + 5 dollars on the first order of light bulbs, which of the following represents how much she spends on the second-order?
10x + 18
4x + 8
21x + 65
10x + 8
Part B
If the store owner spent a total of $90 on both orders, how much does a box of light bulbs cost in dollars? Enter the number in the box.

Answers

Answer 1

Answer:

[tex]B = 4x + 8[/tex]

A box = $11

Step-by-step explanation:

Given

[tex]Total = 7x + 13[/tex]

Represent the first order with A and the second with B.

So, we have:

[tex]A = 3x + 5[/tex]

Solving (a): Find B.

To find B, we make use of:

[tex]A + B = Total[/tex]

Make B the subject

[tex]B = Total - A[/tex]

Substitute values for Total and A

[tex]B = 7x + 13 - (3x + 5)[/tex]

Open bracket

[tex]B = 7x + 13 - 3x - 5[/tex]

Collect Like Terms

[tex]B = 7x - 3x + 13 - 5[/tex]

[tex]B = 4x + 8[/tex]

Solving (b): Cost of a box of light bulb

This means that:

[tex]Total = 90[/tex]

Substitute 7x + 13 for Total

[tex]7x + 13 = 90[/tex]

Collect Like Terms

[tex]7x = 90 - 13[/tex]

[tex]7x = 77[/tex]

Make x the subject

[tex]x = \frac{77}{7}[/tex]

[tex]x = 11[/tex]


Related Questions

calculate the pay for the following day of a weekly time card given a wage of $16/hr

Answers

Answer:

24x16x7

Step-by-step explanation:

Answer:

$2,688 a week

Step-by-step explanation:

16 x 7 x 24 would be 2,688

Alaina baked a cake that weighs 28 ounces. Her family has eaten 49% of it. About how many ounces of cake have they eaten?

Answers

Answer:

I think the answer is that her family has eaten 13.72 ounces.

Step-by-step explanation:

So it weighs 28 ounces and her family has eaten 49% of it.

28 multiplied by 49% or 0.49 is 13.72.

I hope this helps!

Which equation represents the function shown on the graph? y = x y = x y = 2x y = 4x

Answers

The correct answer is y=4x because the slope of the graph (rise over run aka y/x) is 4/1 or 4

Answer:

The correct answer is y=4x

Step-by-step explanation:

pls help 20 points I just need an explanation ​

Answers

Answer:

i=prt

i = 1,000 x 0.045 x 1.5

Step-by-step explanation:

Could someone answer and explain. Will mark the brainliest

Answers

Answer: I think you’re right??

Step-by-step explanation:

10g of Copper reacts with 5g of Sulfur

Write the ratio of Copper to Sulphur

Answers

I think it is 2:1 because If you simply them down

Identify as an increase or decrease. Then find the percent of increase or decrease. If necessary, round to the nearest percent.

Original: 150

New: 130

Answers

Answer:

130 is a 13.333%  or 13% decrease of 150.

Convert 7% as a decimal

Answers

Answer:

0.07

Step-by-step explanation:

7/100

Answer:

it would be .07 i believe

Can someone help me Write an equation for this graph?

Answers

Answer:

y = (2/3)x - 1

Step-by-step explanation:

y = mx + b

m = (y₂ - y₁) ÷ (x₂ - x₁)

m = (1 - (-1)) ÷ (3 - 0)

m = 2 ÷ 3

m = 2/3

Insert slope and one of the points. I'm using (0, -1).

Solve for b.

-1 = (2/3)0 + b

-1 = 0 + b

-1 = b

∴ y = (2/3)x - 1

(28 points) In the drawing, a regular polygon is partially covered by a rectangle. what is the number of sides of this polygon?

A: 6
B: 7
C: 8
D :60


Answers

Answer:

c:8

Step-by-step explanation:

Answer:

C: 8

Step-by-step explanation:

which expression is equivalent to (2m+3)+(m-1)?
A.5m
B.3m + 2
C.2m+2
D.3m-2

Answers

Answer:

i think the correct is D so 3m-2

Please answer quickly Thank You

Answers

Answer:

A. $ 46

B. 12 people.

Step-by-step explanation:

From the question given above, we obtained the following:

C(x) = 6.5x + 20

Where:

C => total cost of bowling

x => number of people

A. Determination of the of bowling for 4 people.

Number of people (x) = 4

Total cost (C) of bowling =?

C(x) = 6.5x + 20

C(4) = 6.5(4) + 20

C(4) = 26 + 20

C(4) = $ 46

Thus, it will cost $ 46 for 4 people to bowl

B. Determination of the number of people that can bowl for $ 98.

Total cost (C) of bowling = $ 98

Number of people (x) =?

C(x) = 6.5x + 20

98 = 6.5x + 20

Collect like terms

98 – 20 = 6.5x

78 = 6.5x

Divide both side by 6.5

x = 78 / 6.5

x = 12

Thus, 12 people can bowl for $ 98.

The area A of a circle in square feet with a radius r in feet is given by the formula, A=πr2. What is the area of a circle with a radius of 3 feet? Round your answer to the nearest thousandths.

Answers

Answer:

28.29

Step-by-step explanation:

A=πr2

=3.14(3^2) (btw the ^2 is exponent)

=3.14(9)

=28.29

28800000, 1440000, 72000, 3600, 180, ...

Answers

Answer: I'm confused. What are you asking here?

Step-by-step explanation:

Convert 6 months to​ years

Answers

Answer: 0.500001

Step-by-step explanation: Hope that helps!

The sum of three consecutive even integers is 486. find all three integers​

Answers

160 and 162 and 164

Step-by-step explanation:

To find the three even integers, use the equation

x + (x + 2) + (x + 4) = 486

Then solve:

Add the common terms (the xs and numbers)

3x + 6 = 486

Subtract the 6 from both sides

3x = 480

Then divide

x = 160

So 160 + (160 + 2) + (160 + 4) = 486

160 + 162 + 164 = 486

So your three consecutive even integers are

Factor the trinomial below COMPLETELY

5x^2 - 20x + 60​

Answers

Answer:

± [tex]\sqrt{-800}[/tex] / 2   or ±800i

Step-by-step explanation:

there are no rational roots because the square root of a negative

i got the answer by using the quadratic formula:  (-b ±√b2 - 4ac) /2a

John estimates that there is 150 people at the party. After counting, there are actually 148 people at the party
Find the percent error.
round your answer to the nearest hundredth ​

Answers

The error was 1.33333333 percent

Find the product of (1)(3)(x).
Your
answer

Answers

Answer:

2/5.

Step-by-step explanation:Start with fractions for which you need to find the product. In this example, we will multiply the fractions 4/6 and 3/5.

Simplify the fractions to the lowest terms. A fraction needs to be simplified if the same number can divide both the numerator and denominator of a fraction. So 4/6 would become 2/3 and you would multiply by 3/5.

Multiply the numerators. Multiply the top number in one fraction by the top number in the other fraction. In this case 2 x 3 = 6.

Multiply the denominators. Multiply the bottom number of one fraction by the bottom number in the other fraction. In this case 3 x 5 = 15

Simplify the product again if necessary. Your product of 6/15 can be converted into 2/5 by dividing both the numerator and denominator by 3. So the product of 4/6 and 3/5

Can anyone help me pls

Answers

75%

Explain: count all the items in the list then count the caps and yo-yos together.
That’ll be 6/8 which is 75%
75% because there is 6/8 you will get the yo yo or the other one. so you put 6/8 = ?/100. you multiply 100 with 6 then divide 600 with 8

Answer this pleaseee !!

Answers

Answer:

D.

Step-by-step explanation:

m<F = m<B - Corresponding Angles Theorem

m<B + m<A = 180 - Adjacent Angles Theorem

180 - 105 = m<A

75 = m<A; therefore, m<A = 75.

Answer:

D.

Step-by-step explanation:

Because F and C are consecutive angles, they add up to 180°. So 180-105=75. Angle C is 75, which makes B wrong. After finding that C is 75°, then you use the verticle angles theorem to show that angle A is 75°. Hope this helps you.

Noah's cousin is exactly 7 years younger than Noah. Let C represent Noah's cousin age and N represent Noah's age. Age is measured in years.

1. Write a function that defines the cousins age as a function of Noah's age.

2. What variable represents the input of this function?

3. What variable represents the output of this function?

4. Write the inverse of the function you wrote.

5. What variable represents the input of the inverse function?

6. What represents the output of the inverse function?​

Answers

Answer:

1. f(N) = C ,where C = N - 7

2. The input of the function is x = N

3. The output of the function = y = C = N -7

4. F(C) = N where N = C - 7

5. Input of the inverse function = C

6. Output of the inverse function = N = C - 7

Step-by-step explanation:

Let Noah's cousin age = C

and  Noah's age = N

As given ,Noah's cousin is exactly 7 years younger than Noah.

⇒ C = N - 7

a.)

As we know that , A function is a maping of x to y such that f(x) = y

Let x = N , y = C

So, f( x) = y

⇒f(N) = C ,where C = N - 7

b.)

The input of the function is x = N

c.)

The output of the function = y = C = N -7

d.)

A inverse function is a mapping of y to x

i.e change the variable ,

As we have C = N - 7

It becomes

N = C - 7

So the inverse function becomes

F(C) = N where N = C - 7

e.)

Input of the inverse function = C

f.)

Output of the inverse function = N = C - 7

Silvia has a coupon for 25% off an item that regularly costs $8. How much will Silvia pay if she uses the coupon?

Answers

Answer:

0.32

Step-by-step explanation:

just divide

Answer:

$6

Step-by-step explanation:

25%= 1/4

8 divided by 4 =2

$2 is what is taken off

$8-$2 which is $6

Paul is a newspaper boy who received a total piecework
paycheck of $265.72. He receives 73 cents for every
newspaper he delivers. How many newspapers did he
deliver?

Answers

Answer:

364

Step-by-step explanation:

265.72 ÷ 0.73 is 364

Check:

364 x 0.73

265.72

What is the value of sin(48) ? Use a calculator and round to the nearest tenth

Answers

Answer:

0.743

:))))))))))))))

Solve the problem using long division

Answers

Answer and Step-by-step explanation:

[tex](m^{2} - 3m - 7) (\frac{1}{m+2})[/tex]

       

        1m     -5

         ____________

[tex]m+2 |m^{2} - 3m - 7[/tex]

    - m^2 + 2m

___________________

               -5m   - 7

            - -5m   - 10

___________________

                           3

(The negatives cancel out).

[tex]m - 5 + \frac{3}{m+2}[/tex]   <- This is the answer.

#teamtrees #WAP (Water And Plant)

the volume of a rectangular prism is 72 cubic centimeters. the prism is 2 centimeters wide and 4 centimeters high.

Answers

Answer:

9 cm

Step-by-step explanation:

Answer:

it is 9 cm because 9 x 8 is 72

Step-by-step explanation:

What’s the answer pls

Answers

Answer:

168.75 because u put a dot infront of 32 divide it by 54

Let N* be the total number of ranchers in Uruguay, and N(t) be the number of ranchers who have adopted an improved pasture technology there. Assume that the rate of adoption, , is proportional to both the number who have adopted the technology and the fraction of the ranchers who have not (and so are susceptible to conversion). Let a be the proportionality constant.

a. Write down the differential equation modeling N(t).
b. According to Banks (1993), N* = 17000, N(0) = 170, a = 0.5 per year.

Determine how long it takes for the improved pasture technology to spread to 80% of the population of the ranchers.

Answers

Answer:

A) dN / dt = aN( N* - N ) /N*

B) 12 years

Step-by-step explanation:

attached below is a detailed description of the solution

A) Write down the differential equation modelling N(t)

The differential equation of the modelling = dN / dt = aN( N* - N ) /N*

B) Determine how long it takes for improved pasture technology to spread to 80% of the population of the ranchers

firstly we will resolve the ODE and apply partial fractions, integrate and exponentiate before inputting the given data. attached below is a detailed solution


find the value of x

Answers

if both sides are supposed to be equal, then x=59
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