MATHEMATICS MIDDLE SCHOOL

Which line shows the first error in the solution? 5(x-5)=15 (1) 5x-25=15 (2) 5x-25=15-25 (3) 5x= -10 (4) 5x/5 = -10/5 (5) x=-2 (6) Answers: A. line 2 B line 3 C. line 4 D. line 5

Answers

Answer 1

Answer:

Answer : B. line 3

5(x-5)=15 ----> 1

We remove the parenthesis by distributing 5 inside the parenthesis.

5x - 25 = 15 ----> 2

To get rid of -25, add 25 on both sides

5x - 25 + 25 = 15 + 25 ----> 3

5x = 40 ----> 4

Divide by 5 on both sides

x = 8

From the given options we can see that there is a error in line 3.

Instead of adding 25 , they subtracted 25

So line 3 shows the first error.

Answer 2

Answer: $5(x-5)=15\n5x-25=15\ \ (ok)\n5x-25=15-25\ \ \ the\ first\ error\ in\ the\ solution\n \nAns.\ B\ line\ 3$

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Answers

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A pack of paper costs $3.75 including tax. Mr. Cooper wants to purchase packs of paper for his class and has a $20 budget. Write an inequality to solve for the number of packs of paper Mr. Cooper can purchase with his budget.

Answers

Answer:

$3.75x\leq 20$

5 packs of paper.

Step-by-step explanation:

Let x be the number of packs of paper.

We have been given that a pack of paper costs $3.75 including tax. The price of x paper packs would be $3.75x$ .

Since Mr. Cooper has a $20 budget, so the cost of x paper pack should be lees than or equal to 20.

We can represent this information in an inequality as:

$3.75x\leq 20$

$(3.75x)/(3.75)\leq (20)/(3.75)$

$x\leq 5.333$

Since we can purchase whole number of paper packs, therefore, Mr. Cooper can purchase 5 packs of paper with his budget.

3.75p<=20

divide by 3.75

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Find the value of X or Y so that the line through the points has the given slope. (X, 0) and (4,1); slope: 1/5

Answers

Point slope formula:
(y₂ -y₁) = m(x₂ - x₁)
(1 - 0) = $(1)/(5)$ (4 - X)
1 = $(4)/(5) - (1)/(5) X$
$(1)/(5) = -(1)/(5) X$

-1 = X

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Answers

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Answers

(184 loaves)/(4 hours) = rate of loaves baked per hour

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Answer:

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Jason is five years younger than Jenny. The sum of their ages now is 75. How old is Jason

Answers

Jason is 35, Jenny is 40. 40 + 35 = 75.

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