Ask question

Ask question

All categories

3 years ago

15

Tim and Tom are trying to earn money to buy a new game system over a 3-month period. Tim saved $45.34 each month. If they need a

total of $212.52 to buy the game system, how much does Tom need to earn each of the 3 months in order to buy the game system?
$76.50
$136.02
$25.50
$167.18

1 answer:

Readme [11.4K]3 years ago

8 0

45.34 X 3= 136.02
212.52 - 136.02= 76.50
76.50/3= 25.50

the answer is $25.50

You might be interested in

Solve each inequality, and then drag the correct solution graph to the inequality.

Nesterboy [21]

The correct solution graph to the inequalities are

$4(9x-18)>3(8x+12)$ → C

$-\frac{1}{3}(12x+6) \geq -2x +14$ → A

$1.6(x+8)\geq 38.4$ → B

(NOTE: The graphs are labelled A, B and C from left to right)

For the first inequality,

$4(9x-18)>3(8x+12)$

First, clear the brackets,

$36x-72>24x+36$

Then, collect like terms

$36x-24x>36+72\\12x >108$

Now divide both sides by 12

$\frac{12x}{12} > \frac{108}{12}$

∴ $x > 9$

For the second inequality

$-\frac{1}{3}(12x+6) \geq -2x +14$

First, clear the fraction by multiplying both sides by 3

$3 \times[-\frac{1}{3}(12x+6)] \geq3 \times( -2x +14)$

$-1(12x+6) \geq -6x +42$

Now, open the bracket

$-12x-6 \geq -6x +42$

Collect like terms

$-6 -42\geq -6x +12x$

$-48\geq 6x$

Divide both sides by 6

$\frac{-48}{6} \geq \frac{6x}{6}$

$-8\geq x$

∴ $x\leq -8$

For the third inequality,

$1.6(x+8)\geq 38.4$

First, clear the brackets

$1.6x + 12.8\geq 38.4$

Collect likes terms

$1.6x \geq 38.4-12.8$

$1.6x \geq 25.6$

Divide both sides by 1.6

$\frac{1.6x}{1.6}\geq \frac{25.6}{1.6}$

∴ $x \geq 16$

Let the graphs be A, B and C from left to right

The first graph (A) shows $x\leq -8$ and this matches the 2nd inequality

The second graph (B) shows $x \geq 16$ and this matches the 3rd inequality

The third graph (C) shows $x > 9$ and this matches the 1st inequality

Hence, the correct solution graph to the inequalities are

$4(9x-18)>3(8x+12)$ → C

$-\frac{1}{3}(12x+6) \geq -2x +14$ → A

$1.6(x+8)\geq 38.4$ → B

Learn more here: brainly.com/question/17448505

8 0

2 years ago

Two more than the quotient of a number and 6<br> is equal to 8

xxTIMURxx [149]

Answer:

36

Step-by-step explanation:

"Two more" = + 2

"quotient of a number and 6" = n/6

"equal to 8" = = 8

Set the equation:

n/6 + 2 = 8

Isolate the variable n. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 2 from both sides.

n/6 + 2 (-2) = 8 (-2)

n/6 = 8 - 2

n/6 = 6

Isolate the variable n. Multiply 6 to both sides.

(n/6)(6) = (6)(6)

n = 6 * 6

n = 36

36 is your answer.

~

3 0

3 years ago

What is 12x12 inch Square and 3/4 inch pixels?

MaRussiya [10]

120 inch pixels swuare

8 0

2 years ago

3 • (4 + 5) is how much more than 3 • 4 + 5 ?

IrinaK [193]

Answer:27

Step-by-step explanation:

8 0

3 years ago

What’s the answer to X/2+21=36

marshall27 [118]

Answer:

x/2 + 21 = 36

First we get rid of constants to isolate the variable.

In order to do that we must do the inverse operation.

Inverse operation of addition is subtraction.

-21 -21(subtracting 21 from both sides, whatever we do to the left side we do it to the right side too)

x/2 = 15

inverse property of division is multiplication

x2 x2

X = 30

6 0

2 years ago

Read 2 more answers