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borishaifa [10]
3 years ago
6

Adam’s father is 3 times as old as Adam. Two years ago, Adam was 15 years old. How old will his father be in 5 years?

Mathematics
1 answer:
Nata [24]3 years ago
6 0

Answer: 56 years

Step-by-step explanation:

Let Adam's age be x , since the father is 3 times as old as him , then the father will be 3x.

Two years ago

Adam = x - 2

Father = 3x - 2

since Adam was 15 years old 2 years ago , this means that

x-2=15

add 2 to both sides

x = 17

Therefore , Adam is presently 17 years old , then the father will be 3(17) years , which means that the father is presently 51 years old.

In 5 years time , the father will be 51 + 5 years old. That is , the father will be 56 years old in 5 years time

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Trevor paints 1/6 of the fence surrounding his farm each day. How many days will it take him to paint 3/4 of the fence ?​
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9514 1404 393

Answer:

  4 1/2 days

Step-by-step explanation:

The time is given by ...

  time = quantity/rate

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3 years ago
Crash testing is a highly expensive procedure to evaluate the ability of an automobile to withstand a serious accident. A simple
Veseljchak [2.6K]

Answer:

The 95% confidence interval is (-0.2451, 06912)

Step-by-step explanation:

From the question, we have;

The number of small cars in the sample of small cars, n₁ = 12

The number of small cars that were totaled, x = 8

The number of large cars in the sample of small cars, n₂ = 15

The number of large cars that were totaled, y = 5

Therefore, the proportion of small cars that were totaled, pX = x/n₁

∴ pX = 8/12 = 2/3

The proportion of large cars that were totaled, pY = y/n₁

∴ pY = 5/15 = 1/3

The 95% confidence interval for the difference pX - pY is given as follows;

pX-pY\pm z^{*}\sqrt{\dfrac{pX\left (1-pX  \right )}{n_{1}}+\dfrac{pY\left (1-pY  \right )}{n_{2}}}

\dfrac{2}{3} -\dfrac{1}{3} \pm 1.96 \times \sqrt{\dfrac{\dfrac{2}{3} \times \left (1-\dfrac{2}{3}   \right )}{12}+\dfrac{\dfrac{1}{3} \times \left (1-\dfrac{1}{3}   \right )}{15}}

Therefore, we have;

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2 years ago
Solve -3+12-5(2y-7) The solution y is:
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Answer:

+12

Step-by-step explanation:

1. distribute the negative 5 to 2y and negative 7

2. combine like term's -3+12-10y+35

3.Get the Y value by itself -44 from both sides -44-2y=

                                                                             -44         -44

4. divide negative 2 from both sides<u> 2y</u>=<u>-44</u>

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8 0
3 years ago
A certain drink is made by adding 4 parts water to 2.5 part drink mix. What percent of the mixture is water? Omit % sign in your
Maru [420]

The mixture contains 61.5% of water.

<u>Step-by-step explanation:</u>

Total parts = 4+ 2.5 = 6.5

Parts of water =4

parts of drink = 2.5

Percent of water in the mixture = 4 × 100/ 6.5

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                                                      = 61.53%

It is rounded to the nearest tenth as 61.5%.

8 0
3 years ago
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