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

A shop has this offer.
£5 reduction if you spend more than £80
or
£10 reduction if you spend more than £130
At the shop, dresses cost
£37 each.
Sue buys 3 dresses
Ann buys 5 dresses
or
£20 reduction if you spend more than £180
How much more than Sue does Ann pay?
Your final line should say, Ann pays £... more

Answers

Answer:

£59

Step-by-step explanation:

3×37=111 111-5=106

5×36=185 185-20=165

165-106=59

I need help with these 2 questions!! please 20 points!!!

Answers

9514 1404 393

Answer:

45 cm²38 cm²

Step-by-step explanation:

The conventional way to work these problems is to make use of the formulas for areas of a triangle, rectangle, and semicircle. If you've used these formulas for a while, you recognize that they give you certain relationships that may make these problems easy to do mentally.

__

1. The area of a triangle is half the product of height and width, so is equivalent to the area of a rectangle either half as high, or half as wide. We note that the width of the sail is 5 cm, so half that is 2.5 cm--exactly the same as the height of the boat's hull. That means we can add the height of the sail to the length of the boat, and the total area can be considered to be the same as that of a rectangle that is

  2.5 cm high × (12 cm + 6 cm) long = (2.5)(18) cm² = 45 cm²

__

2. The usual formula for the area of a circle is ...

  A = πr²

When expressed in terms of diameter, this becomes ...

  A = π(d/2)² = (π/4)d²

Then the area of a semicircle is half that, or (π/8)d². This is equivalent to the area of a rectangle that is "d" wide and "π/8·d" high. That is, the approximate area of the semicircle is that of a rectangle 4 cm high by (π/8·4 cm) = π/2 cm wide. In other words, the semicircle effectively adds π/2 cm to the left end of the 6 cm central rectangle of the figure.

As discussed above, the area of a triangle is equivalent to the area of a rectangle half as high. In this figure, the triangle is 10-6 = 4 cm wide, so can be considered to contribute 4/2 = 2 cm to the right end of the 6 cm central rectangle.

If we consider π ≈ 3, then the approximate area of the figure is ...

  (4 cm)(3/2 cm + 6 cm + 2 cm) = (4)(9.5) cm² = 38 cm²

__

The exact value is 4(8+π/2) = 32+2π ≈ 38.283 cm².

Help needed for this math question.

Answers

Is this algebra or geometry??

Write as a unit rate. 56 laps in 7 minutes = how many laps per minute?
(btw, I'm friending everyone who answers the question correctly and fast.)

Answers

Answer:

8 laps per minute

Step-by-step explanation:

56 laps in 7 minutes corresponds to the unit rate:

56 laps / 7 minutes = 8 laps/minute

That is : 8 laps per minute

Answer:

8 laps per min

Step-by-step explanation:

56 laps in 7 minutes!? They must be the flash

A map is drawn to scale such that 1 inch equals 100 miles. To mark a distance of 500 miles, the length on the map must be_____ inches.

Answers

Answer:

5 inches

Step-by-step explanation:

its simple

1in-100m

500m= 100m x 5

so multiply five to the other side

1in x 5=5 in

5in-500m

Answer:

5 inches

Step-by-step explanation:

100 miles = 1 inch

500 miles = 500/100 * 1 = 5 inches

you're welcome....

of the last 60 people who went to the cash register at the department store, 16 had blomd hair, 20 had black hair, and 3 had red hair. determine the empirical probability the next person will have brown hair​

Answers

Answer: 20

Step-by-step explanation:

Answer: Plz don't come for me if its wrong but I think the answer is 21

Step-by-step explanation: Because there are 60 people in all and 16 had blond hair, 20 had black hair and 3 had red hair and 60-16-20-3=39 then you have to take 60-39 and you get 21

We shuffle a deck of cards and deal three cards (without replacement). Find the probability that the first card is a queen, the second is a king, and the third is an ace.

Answers

Answer:

the probability that the first card is a queen, the second is a king, and the third is an ace is 0.000482655

Step-by-step explanation:

Given the data in the question;

we know that a deck of cards contains 52 cards

3 cards are dealt out without replacement

probability that first card is queen, the second is king and third is an ace will be;

P(First is a King, second is a Queen, third is an Ace) = [ 4/52 ] × [ 4/51 ] × [4/50]

= 64 / 132,600

=  0.000482655

Therefore,  the probability that the first card is a queen, the second is a king, and the third is an ace is 0.000482655

In a class of 26 students, 11 are female and 10 have an A in the class. There are 2 students who are female and have an A in the class. What is the probability that a student is a female given that they have an A?

Answers

The probability that a student is a female given that they have an A is 0.2

How to determine the probability?

The given parameters are:

Female = 11

A= 10

Female and A = 2

The probability is calculated using:

P(Female given A) = P(female and A)/P(A)

This gives

P(Female given A) = 2/10

Simplify

P(Female given A) = 0.2

Hence, the probability that a student is a female given that they have an A is 0.2

Read more about probability at:

https://brainly.com/question/251701

#SPJ1

Thomas has constant speeds for both running and walking. When a down-escalator is moving, Thomas can run down it in 15 seconds or walk down it in 30 seconds. One day, when the escalator was broken (and stationary), it took Thomas 20 seconds to run down it. How long, in seconds, would it take Thomas to walk down the broken escalator?

ANSWER QUICK PLS ASAP

Answers

.....................

Answer:

40

Step-by-step explanation:

Classify the pair of angles as adjacent, vertical, supplementary, complementary, or neither.

Answers

Answer:

adjacent supplementary angles

Step-by-step explanation:

The angles labeled 1 and 2 are adjacent angles which are called a linear pair. their measure add up to 180 deg, so they are adjacent and supplementary angles.

The ratio of the number of text messages sent by Diego to the number of text messages sent by his sister is 3 to 4. Diego sent 18 text messages. How many more text messages did his sister send?​

Answers

Answer:

His sister sent 6 more messages than Diego.

Step-by-step explanation:

Ratio of Diego's messages to his sister's messages = 3 : 4

Text messages sent by Diego = 18

Text messages sent by his sister = x

Ratio = 18 : x

It is a proportional relationship,

3 : 4 :: 18 : x

Product of extremes = Product of means

3x = 18*4

3x = 72

[tex]\frac{3x}{3}=\frac{72}{3}\\x=24[/tex]

Difference = 24 - 18 = 6

Therefore,

His sister sent 6 more messages than Diego.

solutions to 2-variable equations y=-2x-5

Answers

Answer:(1, -3).

Step-by-step explanation:

If y=2x-5 is equation (1) and 4x-y=7 is equation (2), then substitute equation (1) in equation (2):

4x - (2x - 5) = 7

4x - 2x + 5 = 7

2x = 7-5

2x = 2

x = 1

Now substitute the value of x in equation (1) to find the value of y:

y = 2 (1) - 5

y = 2 - 5

y = -3

What is the factored expression for 14 X +49

Answers

Answer:

7( 2x+7)

Step-by-step explanation:

14 X +49

Rewriting

2*7*x + 7*7

Factor out a 7 from each term

7( 2x+7)

What is the volume of the rectangular prism?

Answers

Answer:

72cm³

Step-by-step explanation:

The volume of the rectangular prism = Base area * Height

Base area = length * width

Base area = 6cm * 3cm = 18cm²

Height = 4cm²

volume of the rectangular prism = 18 * 4

volume of the rectangular prism = 72cm³

.) The total cost of a pizza and 3 drinks is $19. The price of the pizza is $10 and each drink is the

same price, d.

6) Which model represents the situation?

10

d

d

d

19

10

d

19

10-d

10-d

10-d

19

10

10

10

d

19

o

Answers

Answer:

The total cost of a pizza and 3 drinks is $19. The price of the pizza is $10 and each drink is the

same price, d.

6) Which model represents the situation?

Find the total fare with 15% tip: 1 passenger, 512 miles.


$9.89


$9.20


$10.23


$8.60

Answers

Answer:

37.92

Step-by-step explanation:

just add

Answer:

The answer would be $8.60

Step-by-step explanation:

np

X+X+(60% of X)=180

Ez points plus brainliest

Answers

Answer:

x = 900/ 10 + 3fo

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

The area of Shawn's bedroom is 110 square feet. He places his bed, which is 7 feet long and 5 feet wide, in one corner of the bedroom. How much space will Shawn have left?​

Answers

Answer:

gggg

Step-by-step explanation:

duxufif8fis5durris5is

HELP MIDDLE SCHOOL QUESTION

Answers

1897 is how much he ran

Sweet Treats sells candy by the
pound as shown in the table:


Oscar says the unit rate is $3.99 per pound of candy


Olivia says the unit rate is 7.98 per pound of candy


A. Oscar
B. Olivia

Why did you use this answer

Answers

The unit rate is 3.99 meaning Oscar is correct. The correct answer is A because if you divide the cost by the amount you will get 3.99. :)

Enter the missing number 57+[34+]=[57+34]+105

Answers

Answer:

105

Step-by-step explanation:

y = 5. – 7 2y = –12 -3x​

Answers

Answer:

!! solved as -7(2y)= -12(-3x)

x= negative 1.943333

Step-by-step explanation:

What is the measure of angle M?

Answers

Answer:

35°

Step-by-step explanation:

4x+11 = 5x-24

5x-4x=x

x=24+11

x=35

Tara needs an $8,000 personal loan.

Which loan option would require her to pay back the least amount of money?


36-month loan with a 9% annual simple interest rate

42-month loan with a 7% annual simple interest rate

48-month loan with an 8% annual simple interest rate.

54-month loan with a 6% annual simple interest rate plaese awnser correctly ned today

Answers

Step-by-step explanation:

54-month loan with a 6% annual simple interest rate plaese awnser correctly ned today step by step can you tell me

Please help I will mark brainlist
True or False: The magnitude of a resultant vector will always be larger than individual vectors that are both in the first quadrant

Answers

Answer:

I believe that it is false

Three times the smaller of two consecutive even integers increased by the larger integer i’d at least 26


Is 4 a solution to the inequality?


Is 6 a solution to the inequality?

Answers

Answer:

a is your correct answer

Answer:

6

Step-by-step explanation:

What is the inverse function of f(x) = x


Answers

f-1(x) f(x)-1
Inverse of the function f f(x)-1 = 1/f(x) (the Reciprocal

A circular swimming pool is 12 feet across and is enclosed by a fence. How long is the fence? (Round your answer to one decimal place.)

Answers

Answer:

the length of the fence is 37.7 feet

Step-by-step explanation:

The computation is given below:

Given that

Diameter = 12 feet

So, the radius is the half of the diameter = 6 feet

Now the length of the fence is

= 2 × π × r

= 2 × 3.14 × 6

= 37.68 feet

= 37.7  feet

Hence, the length of the fence is 37.7 feet

The length of the fence will be 37.7 feet.

Based on the information given, we are informed that the circular swimming pool is 12 feet across and is enclosed by a fence. We want to calculate the perimeter.

The perimeter of a circle will be:

= πd

where,

π = 3.142

d = 12 feet

Therefore, the length of the fence will be:

=πd

= 3.142 × 12

= 37.7 feet

The length of the fence is 37.7 feet.

Read related link on:

https://brainly.com/question/19633520

PLEASE HELP!! I HAVE TO TURN IT IN BY THE END OFF THE DAY (PLEASE DONT GUESS)

Answers

Answer:

Step-by-step explanation:

There are two 35° angles, so the triangle is isosceles.

what is 0.5( -16p - 6) = ?​

Answers

Answer:

−8p−3

Step-by-step explanation:

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