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3 years ago

Lin solved the equation 8(x-3)+7=2x(4-17) incorrectly. Find the errors in her solution. What should her answer have been?

Mathematics

1 answer:

Irina-Kira [14]3 years ago

4 0

Answer: The correr solution is $x=\frac{17}{34}$

Step-by-step explanation:

Since the steps in Lin's solution are not shown, we are not able to find her erros. However, we can solve it step by step and find the correct result:

$8(x-3)+7=2x(4-17)$

Firstly, in the left part of the equation we have to multiply $8$ by the numbers inside the parenthesis; and in the right side we have to solve first what is inside the parenthesis:

$8x-24+7=2x(-13)$

Adding similar terms in the left side and multiplying $2x$ by the number inside the parenthesis in the right side:

$8x-17=-26 x$

Isolating $x$ :

$x=\frac{17}{34}$ This is the correct solution

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xeze [42]

Answer:

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Step-by-step explanation:

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3 years ago

A grocery store manager notices that this month her store sold a total of 623 gallons of ice cream, which represents a decrease

kotykmax [81]

Answer:

- The store sold 733 gallons of ice cream last month.

- The store sold 748 pounds of broccoli last month.

Step-by-step explanation:

Given

$Ice\ Cream = 623$

$\%\ Ice\ Cream = 15\%$

$Broccoli = 912$

$\%\ Broccoli = 22\%$

Solving (a): Gallons of Ice Cream

<em>Let Gallons sold last month be G1; Gallons sold this month be G2;</em>

The relationship between both is:

$G2 =G1 - 15\% * G1$

Substitute 623 for G2

$623 =G1 - 15\% * G1$

$623 =G1 - 0.15 * G1$

$623 =G1 - 0.15 G1$

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Divide through by 0.85

$G1 = 623/0.85$

$G1 = 732.941176471$

$G1 = 733$

Solving (b): Pounds of Broccoli

<em>Let Pounds sold last month be P1; Pounds sold this month be P2;</em>

The relationship between both is:

$P2 =P1 + 22\% * P1$

Substitute 912 for P2

$912 =P1 + 22\% * P1$

$912 =P1 + 0.22 * P1$

$912 =P1 + 0.22 P1$

$912 =1.22 P1$

Divide through by 1.22

$P1 = 912/1.22$

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$P1 = 748$

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True [87]

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