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icang [17]
3 years ago
13

Which equations are equal to 1/2(4+8x) = 17? Select all that apply.

Mathematics
2 answers:
Kazeer [188]3 years ago
5 0

Hello from MrBillDoesMath!

Discussion:

Given:  (1/2) ( 4 + 8x)   = 17                 => multiply both sides by 2

4 + 8x = 17 * 2 = 34         (*)                 => divide both sides by 2

2 + 4x  = 17                      (**)               => subtract 2 from both sides

4x = 17 - 2 = 15                (***)              => divide both sides by 4

x = 15/4                            (****)

Provided equations:

2 + 4x = 8.5      No cigar. Not equal to (**).

4x = 15              Yes, they are equal. This is (***)

4 + 8x = 34       Yes, they are equal. This is (*)

2 = 17 - 8x         No cigar. 2 = 17-8x => 8x = 15 => x = 15/8 which is not

                         equal to  (****)

Only the second and third choices above are equal.

Thank you,

MrB

Ivanshal [37]3 years ago
4 0

Answer:

4+8x = 34

4x= 15

Step-by-step explanation:

1/2(4+8x) = 17

Multiply by 2 on each side

2*1/2(4+8x) = 17*2

(4+8x) = 34  (One solution)

Subtract 4 from each side

4-4 +8x = 34-4

8x = 30

Divide by 2

8x/2 = 30/2

4x= 15  (2nd solution)

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Keith_Richards [23]
How I got my answer before was substitution! 
5 0
3 years ago
Bob has two weekend jobs last weekend he made a total of $77 after working as a cashier for 5 hours and delivering newspapers fo
OlgaM077 [116]

Answer: $9 per hour at his job as a cashier and $8 per hour at his job delivering newspapers.

Step-by-step explanation:

1. Let's call the amount he got paid per hour at his job as a cashier: x.

Let's call the amount he got paid per hour at his job delivering newspapers: y.

2. Keeping on mind the information given in the problem above, you can make the following system of equations:

\left \{ {{5x+4y=77 \atop {6x+3y=78}} \right.

3. You can solve it by applying the Substitution method, as following:

- Solve for one of the variables from one of the equations and substitute it into the other equation to solve for the other variable and calculate its value.

- Substitute the value obtained into one of the original equations to solve for the other variable and calculate its value.

 4. Therefore, you have:

5x+4y=77\\5x=77-4y\\x=\frac{77-4y}{5}=15.4-0.8y

Then:

6(15.4-0.8y)+3y=78\\92.4-4.8y+3=78\\-1.8y=-14.4\\y=8

Finally:

5x+4(8)=77\\5x+32=77\\5x=45\\x=9

Therefore he got paid $9 per hour at his job as a cashier and $8 per hour at his job delivering newspapers.

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