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Kazeer [188]
3 years ago
14

A store charges their customers based on the number of items that they buy. Jane bought four items and was charged $15 and Georg

e bought twelve items and was charged $39. Write a function to model the cost based on the number of items you buy. Then determine how much you bought if you were charged $33.
A) f(x) = 3x + 3; f(10) = 33
B) f(x) = 3x + 3; f(33) = 102
C) f(x) =1/3 + 3; f(90) = 33
D) f(x) = 1/3x + 3; f(33) = 14
Mathematics
1 answer:
mojhsa [17]3 years ago
7 0

Answer:

A) f(x) = 3x + 3; f(10) = 33

Step-by-step explanation:

39 = 3x + 3 \\ \\ 36 = 3x \\ \\ 12 = x

15 = 3x + 3 \\ \\ 12 = 3x \\ \\ 4 = x

*33 = 3x + 3 \\ \\ 30 = 3x \\ \\ 10 = x

** From what the problem said, we know that we selected the correct equation.

I am joyous to assist you anytime.

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Which of the following equations have infinitely many solutions?
olga55 [171]

The  following equations have infinitely many solutions:

6(2x + 4) = 3(4x + 8) ⇒ I

0.5(8x + 4) = 4x + 2 ⇒ II

2(6x + 4) = 4(3x + 2) ⇒ V

The answer is l, ll, and V ⇒ A

Step-by-step explanation:

The equation has infinitely many solutions if:

  • The variable is disappeared
  • Then the numerical terms are equal

I.

∵ 6(2x + 4) = 3(4x + 8)

- Simplify the two sides

∵ 6(2x + 4) = 6(2x) + 6(4) = 12x + 24

∵ 3(4x + 8) = 3(4x) + 3(8) = 12x + 24

∴ 12x + 24 = 12x + 24

- Subtract 12x from both sides

∴ 24 = 24

- The variable disappear and two sides are equal

∴ The equation has infinitely many solutions

II.

∵ 0.5(8x + 4) = 4x + 2

- Simplify the left hand side

∵ 0.5(8x + 4) = 0.5(8x) + 0.5(4) = 4x + 2

∵ The right hand side is 4x + 2

∴ 4x + 2 = 4x + 2

- Subtract 4x from both sides

∴ 2 = 2

- The variable disappear and two sides are equal

∴ The equation has infinitely many solutions

III.

∵ 7x + 8 = 7(x + 8)

- Simplify the right hand side

∵ 7(x + 8) = 7(x) + 7(8) = 7x + 56

∴ 7x + 8 = 7x + 56

- Subtract 7x from both sides

∴ 8 = 56 ⇒ it can not be

∴ L.H.S ≠ R.H.S

∴ The equation has no solution

IV.

∵ 3x + 4 = 7x - 2

- Subtract 3x from both sides

∴ 4 = 4x - 2

- Add 2 to both sides

∴ 6 = 4x

- Divide both sides by 4

∴ 1.5 = x

∴ The equation has one solution

V.

∵ 2(6x + 4) = 4(3x + 2)

- Simplify the both sides

∵ 2(6x + 4) = 2(6x) + 2(4) = 12x + 8

∵ 4(3x + 2) = 4(3x) + 4(2) = 12x + 8

∴ 12x + 8 = 12x + 8

- Subtract 12x from both sides

∴ 8 = 8

- The variable disappear and two sides are equal

∴ The equation has infinitely many solutions

The  following equations have infinitely many solutions:

6(2x + 4) = 3(4x + 8) ⇒ I

0.5(8x + 4) = 4x + 2 ⇒ II

2(6x + 4) = 4(3x + 2) ⇒ V

Learn more:

You can learn more about the solutions of the linear equations in

brainly.com/question/6075514

#LearnwithBrainly

8 0
3 years ago
Complete the table<br> Original Price:?<br> Percent of Discount: 25%<br> Sale Price: $40
BigorU [14]

Answer:

<u><em>The original price would be 50$.</em></u>

Step-by-step explanation:

To find this answer you have to divide 25% by 100, which equals 0.25.  Now multiply 0.25 by 40 and you get 10$.  Since 10$ was the discount, you just add 10$ + 40$, therefore 50$ is the original price.

8 0
3 years ago
My question is 7/8*8/9
Tom [10]
7/8*8/9 = (7*8)/(8*9)
Since we have an 8 both above and below, we can erase it, and so the answer is 7/9
6 0
3 years ago
A photo is 15 cm high and 9 cm wide Michael wants to but porcelain shrink it so it's height is 6 cm High how wide will it then b
weqwewe [10]

Answer:

3.6cm

Step-by-step explanation:

Given data

We are given that the dimension of the photo is

Height= 15cm

Width= 9cm

That is

            15cm height  will make 9cm width

hence    6cm height will make x widht

cross multiply

9*6= 15*x

54= 15x

x= 54/15

x= 3.6cm

Hence the width will be 3.6cm

3 0
3 years ago
Zach spent 2/3 hour reading on Friday a 11/3 hlurs reading on Saturday. How much more time did he read on Saturday tha on Friday
mr Goodwill [35]

notice, the denominator for each fraction is the same, thus the LCD is just 3.

\bf \cfrac{11}{3}-\cfrac{2}{3}\implies \cfrac{11-2}{\stackrel{LCD}{3}}\implies \cfrac{9}{3}\implies 3

6 0
3 years ago
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