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yulyashka [42]
3 years ago
11

Julio and his sister bought 8 books and m magazines for $1 each, and then they split the cost. The amount of money that Julio sp

ent is represented by the expression 1/2(m+8). Does the number of books purchased affect the value of m?
Mathematics
1 answer:
Ivahew [28]3 years ago
3 0

Answer: No. both are independent quantity. Therefore, the number of books purchased does not affect the value of m.


Step-by-step explanation:

Given: Julio and his sister bought 8 books and m magazines for $1 each.

The amount of money that Julio spent is represented by the expression 1/2(m+8)

Thus, the amount she and her sister will pay is dependent on the number of books and the number of magazines, but the number of magazines and the number books are independent quantity.

Therefore,  the number of books purchased does not affect the value of m.

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Vsevolod [243]

Answer:

2,608,220,160 cans will be recycled in 16 days.

Step-by-step explanation:

Idk how to do it in scientific notation Lol

8 0
3 years ago
Given f (x) = -12x + 72, find x when f(x) = 24.
Neko [114]

Answer:

x = 4

Given:

f(x) = -12x + 72

f(x) = 24

Step-by-step explanation:

=  >  - 12x + 72 = 24 \\  \\  =  >  - 12x = 24 - 72 \\  \\  =  >   \cancel{- }12x =   \cancel{-} 48 \\  \\  =  > 12x = 48 \\  \\  =  > x =  \frac{48}{12}  \\  \\  =  > x = 4

4 0
3 years ago
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
Mr. Walker is looking at the fundraiser totals for the last five years.
balu736 [363]
$880, $896, $914, $925, and $963

median = $914
mean = (896+925+880+963+914)/5 = 4578/5 = $915.6

$915.6 - $914 = $1.6

so mean is greater than median $1.6

answer is B. second choice
<span>The mean is $1.60 greater.</span>
6 0
3 years ago
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gizmo_the_mogwai [7]
To find the greatest common factor using prime factorization by only using prime number divided into the dividend then you continue til it reaches 1 then the prime factorization would look like this e.g. 2×3×5×11
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