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3 years ago

15

Mr johnson's students want to know his age. He tells them that this year his age is a multiple of 9, and next year it will be a

multiple of 4. What is his age?

1 answer:

vladimir1956 [14]3 years ago

8 0

Answer:

He is 27 years old.

Step-by-step explanation:

27 is a multiple of 9 (9 x 3)

28 comes after, and is a multiple of 4 (4 x 7)

Hope this answer helps you!! :)

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1. Which of the following values of n will make the below equation true? n × (−2+5 ) = −8+20

Salsk061 [2.6K]

Answer:

1a 2a

Step-by-step explanation:

n × (−2+5 ) = −8+20

n × 3 = 12

n = 4

2 + (n+6) = −1+6

n + 8 = 5

n = -3

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3 years ago

Circle J and circle K are shown in the diagram below.

vagabundo [1.1K]

Check the picture. There are 2 interior common tangents, and 2 exterior common tangents which can be drawn.

Answer: 4

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3 years ago

Solve:m+ 2/3=1/2 <br><br> A. 1 1/6<br><br> B. 1/6<br><br> C.-1<br><br> D. - 1/6

natita [175]

Answer:

D. - 1/6

Step-by-step explanation:

M + 2/3 = 1/2

M = 1/2 - 2/3

$\frac{1}{2} - \frac{2}{3} = \frac{3}{6} - \frac{4}{6} = -\frac{1}{6}$

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3 years ago

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During a tunnel construction project, engineers used explosives to excavate partway into a mountain. Because of time constraints

AnnyKZ [126]

The given data can be tabulated as:

number of days,x length of tunnel (ft), y

0 225

5 350

20 725

30 975

55 1,600

To check if the growth is linear, the slope at points (0, 225) and (5, 350), and (0, 225) and (20, 725) should be equal. The formula for slope is:

m = (y2 – y1) / (x2 – x1)

Finding for slope (0, 225) and (5, 350):

m = (350 – 225) / (5 – 0) = 25

Finding for slope (0, 225) and (20, 725):

m = (725 – 225) / (20 – 0) = 25

Therefore the equation is linear in the form of:

y = mx + b

where b is the value of y at x = 0, so b = 225

The complete equation is:

y = 25x + 225

At x = 86 days

y = 25(86) + 225

y = 2,375 ft

Therefore the length of the completed tunnel is 2,375 feet.

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4 years ago

15-0 = 0-15. True or False. Justify your statement.

faltersainse [42]

Answer:

False

Step-by-step explanation:

15-0=0

0-15=-15

3 0

3 years ago

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