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tester [92]
3 years ago
9

What is the solution to the equation?

Mathematics
2 answers:
mojhsa [17]3 years ago
6 0
D. x=<span>−<span>4
Why?
</span></span>Let's solve your equation step-by-step.
<span><span>2<span>(<span>x−7</span>)</span></span>=<span><span>10x</span>+18
</span></span>Simplify both sides of the equation.
<span><span>2<span>(<span>x−7</span>)</span></span>=<span><span>10x</span>+18
</span></span><span>Simplify:
</span><span><span><span>2x</span>−14</span>=<span><span>10x</span>+18
</span></span>Subtract 10x from both sides.
<span><span><span><span>2x</span>−14</span>−<span>10x</span></span>=<span><span><span>10x</span>+18</span>−<span>10x
</span></span></span><span><span><span>−<span>8x</span></span>−14</span>=18
</span>Add 14 to both sides.
<span><span><span><span>−<span>8x</span></span>−14</span>+14</span>=<span>18+14
</span></span><span><span>−<span>8x</span></span>=32
</span>Divide both sides by -8.
<span><span><span>−<span>8x</span></span><span>−8</span></span>=<span>32<span>−8
</span></span></span><span>D. x=<span>−<span>4</span></span></span>
Fudgin [204]3 years ago
3 0
Hi there...

2(x -7) = 10x + 18
2x - 14 = 10x + 18
2x - 10x = 18 + 14
-8x = 32
Divide both sides by -8
-8x/-8 = 32/-8
x = -4


The correct option is D


Good luck :)

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The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Lydia is at a coffee shop and knows  she can spend no more than $65

before tax. She sees this price list in  the coffee shop.

Dark Roast Coffee    $7.50

Pumpkin Spice Coffee   $10.50

Breakfast Tea   $23.50

if Lydia buys 1/2 pound of the Breakfast Tea and 2 pounds of the Dark Roast coffee, how many 1- pound bags of Pumpkin Spice coffee can she buy?

Given Information:

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Price of   Dark Roast Coffee = $7.50

Price of Pumpkin Spice Coffee  = $10.50

Price of  Breakfast Tea  = $23.50

Amount of Breakfast Tea required = 1/2 pound

Amount of Dark Roast coffee required = 2 pounds

Required Information:

How many 1-pound  Pumpkin Spice Coffee can she buy = ?

Answer:

n = 3 bags of 1-pound Pumpkin Spice Coffee

Step-by-step explanation:

We are given that the amount of Breakfast Tea required is 1/2 pound so the cost of Breakfast Tea is

Cost of Breakfast Tea = 1/2*23.50 = $11.75

We are also given that the amount of Dark Roast coffee required is 2 pounds so the cost of Dark Roast coffee is

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Cost of Dark Roast coffee = $15

We know that total Lydia's total budget is $65

11.75 + 15 + 10.50x = 65

Where x represents the amount of Pumpkin Spice coffee required

10.50x = 65 - 11.75 - 15

10.50x = 38.75

x = 3.64 pounds

That means Lydia can buy 3.64 pounds of Pumpkin Spice coffee.

Now assuming that the Pumpkin Spice coffee is sold only in 1-pound bags then the required number of bags that Lydia can buy is

n = 3.64 pound/1-pound

n = 3.64

Since bags cannot be in fraction so

n = 3 bags

Note: we can not round off to 4 bags since that would surpass the given budged.

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