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Gwar [14]
3 years ago
10

Which equation shows the correct grouping symbols? A. (5 + 70) ÷ 5 × 2 = 30 B. 5 + 70 ÷ 5 × 2 = 30 C. 5 + (70 ÷ 5) × 2 = 30 D. 5

+ 70 ÷ (5 × 2) = 30 A. B. C. D.
Mathematics
1 answer:
Gennadij [26K]3 years ago
6 0

Answer:

equation A

Step-by-step explanation:

To know what equation is correct, we can calculate the left part of each one, and checking if the value matches the right part (which is always 30)

(Remember: to calculate equations, we first solve operations inside parenthesis, then divisions and multiplications, and for last sums and subtractions)

So, in option A, we have in the left part:

(5 + 70) ÷ 5 × 2 -> 75 ÷ 5 × 2 -> 15 × 2 -> 30

This option is correct, as the left part matches the right part.

Checking the other options, we have for option B:

5 + 70 ÷ 5 × 2 -> 5 + 14 × 2 -> 5 + 28 -> 33

It does not match the left part. For option C:

5 + (70 ÷ 5) × 2 -> 5 + 14 × 2 -> 5 + 28 -> 33

It does not match the left part. For option D:

5 + 70 ÷ (5 × 2) -> 5 + 70 ÷ 10 -> 5 + 7 -> 12

It does not match the left part. So, the correct answer is equation A

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How much cashews at $1.58 per pound must be mixed with walnuts that cost 78 cents per pound to make a mixture of 40 pounds of nu
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Number of pounds of cashews is 36 pounds and number of pounds of walnuts is 4 pounds.

Step-by-step explanation:

  • Step 1: Given details are cost of cashews = $1.58, cost of walnuts = 78 cents = $0.78, total weight of nuts = 40 pounds, cost of nuts per pound = $1.50
  • Step 2: Let number of pounds of cashews to be mixed be C, then number of pounds of walnuts will 40 - C. Form equation with these variables.

⇒ 1.58 C + (40-C) 0.78 = 40 × 1.50

⇒ 1.58 C + 31.2 - 0.78 C = 60

⇒ 1.58 C - 0.78 C = 60 - 31.2

⇒ 0.8 C = 28.8

⇒ C = 36 pounds

  • Step 3: Calculate number of pounds of walnuts

⇒ Number of pounds of walnuts = 40 - C = 4 pounds

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