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lilavasa [31]
3 years ago
6

James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3. Write an equation that can

be used to solve for Zach's age in the box below, use Z as the variable.
Mathematics
1 answer:
Neko [114]3 years ago
3 0

Answer:

The equation is 3x + 24 = 6x

Step-by-step explanation:

Let

Zach's age = x

If Zach added 8 to his age and multiplied this sum by 3.

Zach = 3(x + 8)

= 3x + 24

James = 6x

Zach's age = James's age

3x + 24 = 6x

Collect like terms

24 = 6x - 3x

24 = 3x

Divide both sides by 3

x = 24/3

= 8

x = 8

Check

Zach = 3(x + 8)

= 3(8+8)

= 3(16)

= 48 years

James = 6x

= 6(8)

= 48 years

The equation is 3x + 24 = 6x

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Andreyy89

Answer:

7. 2355 m

8. 1570 km

9. 157 cm

10. 40.82 m

Step-by-step explanation:

The circumference of a circle is pi * diameter or 2 * pi * radius.

If you are given the diameter, just multiply it by pi, 3.14.

If you are given the radius, then multiply the radius by 2 and then by pi, 3.14.

7. d = 750 m

circumference = pi * d = 3.14 * 750 m = 2355 m

8. d = 500 km

circumference = pi * d = 3.14 * 500 km = 1570 km

9. r = 25 cm

circumference = 2(pi)r = 2 * 3.14 * 25 cm = 157 cm

10. r = 6.5 m

circumference = 2(pi)r = 2 * 3.14 * 6.5 m = 40.82 m


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Answer:

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Step-by-step explanation:

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