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MA_775_DIABLO [31]
3 years ago
8

Please Help! Nathan receives a coupon in the mail for $10 off of a purchase of $100 or more. If he buys 3 pairs of board shorts

which are $25.99 each, 2 towels which are $5.65 each and a pair of sunglasses which are $15.50, will he spend enough to use the coupon? How much will his purchase cost?
Mathematics
1 answer:
Trava [24]3 years ago
4 0

Answer:   104.77 $ without coupon

                  94.77 $ with coupon


Step-by-step explanation:

25.99 Times 3 = 77.97 $

5.65 times 2 =  11.3 $

77.97+11.3=89.27 $

89.27 + 15.50 = 104.77 $

104.77 - 10 dollars of coupon = 94.77 $

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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

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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

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Divide both sides by 6

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

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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

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Put the numbers in order from least to greatest. ITEM BANK: Move to Bottom 0.00025 0.025 0.025 x 10 0.5 x 10-5 1.25 x 10-1 1.45
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Answer:

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