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TEA [102]
3 years ago
14

Sophia did push-ups every day for 7 days. Each day after the first day, she did 5 more push-ups than the day before. In total sh

e did 175 push-ups. How many push-ups did Sophia do on the last day?

Mathematics
1 answer:
Dafna1 [17]3 years ago
8 0

Answer:

Push- ups on last day = 40

Step-by-step explanation:

According to given conditions:

Let push-ups on:

1st day = x

2nd day = x + 5

3rd day = x + 10

4th day = x + 15

5th day = x + 20

6th day = x + 25

7th day = x + 30

Now total push ups = adding all

x + x + 5 + x + 10 + x + 15 + x + 20 + x+ 25 + 30 + x = 175

By adding same terms:

7x + 105 = 175

Subtracting 105 from both sides

7x + 105 - 105 = 175 - 105

7x = 70

Dividing both sides by 7 we get:

x = 70/7

x = 10

Now calculating push-ups on days:

1st day = x = 10

2nd day = x + 5 = 10 + 5 = 15

3rd day = x + 10 = 10 + 10 = 20

4th day = x + 15 = 10 + 15 = 25

5th day = x + 20 = 10 + 20 = 30

6th day = x + 25 = 10 + 25 = 35

7th day = x + 30 = 10 + 30 = 40

So number of push-ups on 7th (last) day is 40.

I hope it will help you!

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meriva

Answer:

  103,000

Step-by-step explanation:

Use your knowledge of decimal arithmetic. Or, use a calculator.

  100,000(1 +.03) = 100,000·1.03 = 1000·103 = 103,000

5 0
3 years ago
2/3 (5 x 4) ÷ 3 + 6/7 I divided 3/2 is 1.5*(20)=30/3=10+1.16=11.16 is that correct not so good in math
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\frac{2}{3}(5*4):3+ \frac{6}{7} = \\ \\  \frac{2}{3}*20:3+ \frac{6}{7} = \\ \\   \frac{40}{3}:3+ \frac{6}{7} = \\ \\\frac{40}{9}+ \frac{6}{7}= \\ \\  \frac{40*7+6*9}{7*9}= \\ \\\frac{280+54}{63}= \\ \\  \frac{334}{63} = \\ \\  5 \frac{19}{63} \ \ \  [as \ a \  mixed \ fraction] \\ \\ \approx 5.3 \ \ \  [as \ a \  decimal\ fraction \ to \ the \ nearest \ tenth]
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3 years ago
Read 2 more answers
Which of the following is a correct interpretation of the expression -7- (-11)?
Brilliant_brown [7]

Answer:

B. Start at -7 on the number line and move 11 to the right.

Step-by-step explanation:

<u>Given:</u>

  • - 7 - (-11) expression

We can add or remove only positive numbers on the number line to get it  correct, so we need to open the parenthesis. When evaluated we get:

-7- (-11) = - 7 + 11 = 4

<u>Correct interpretation of of this expression is:</u>

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<u>Correct choice is:</u>

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Select the correct answer.
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Using scientific notation, the correct statement is given by:

C. Corporation C owns the most land. Corporation A owns 8 times more land than corporation B.

<h3>What is scientific notation?</h3>

A number in scientific notation is given by:

a \times 10^b

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Considering the amounts in scientific notation, the standard amounts in acres of each corporation are given as follows:

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Hence corporation C owns the most land. 320,000/40,000 = 8, hence Corporation A owns 8 times more land than corporation B, and statement C is correct.

More can be learned about scientific notation at brainly.com/question/16394306

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Lyndon should spend $38.05 or more to get a free T-shirt.

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Suppose that the amount Lyndon get free T shirt is x.

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brainly.com/question/25537936

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