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stellarik [79]
2 years ago
12

Five years ago Jacob was one-sixth of the age of his brother. In three years time his age doubled will match his brother's. How

old is he now?
PLS WILL MARK BRAINLIEST
Mathematics
1 answer:
Marrrta [24]2 years ago
7 0

Answer: Jacob is 7 years old.

Step-by-step explanation: 5 years ago, Jacob was 2 years old and his brother was 12. Now, in three years, Jacob will be 10 and his brother will be 20. To find the answer, you need a system of equations. The first equation will be 6(J-5) = B - 5, where J is Jacob's current age and B is his brother's. The next equation will be 2(J + 3) = B + 3. Now, just solve the equation. I gave you the answer, but please work through the problem so you understand it :D

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This box has the same length , width, and height as the 2 basketballs. Which expression gives the volume of the empty space enci
Solnce55 [7]
Don't you just grab the volume of the box and subtract the volume of the basketballs.
8 0
2 years ago
Read 2 more answers
The manager of an industrial plant is planning to buy a new machine. For each day’s operation, the number of repairs X, that the
horsena [70]

Answer:  Expected value of the daily cost of operating the machine is 235.264.

Step-by-step explanation:

Since we have given that

E[x]= 0.96 repairs per day

And Var[x] = 0.96 repairs per day.

C=160+40x^2

E[c]=160+40E[x^2]\\\\E[c]=160+40(Var[x]+(E[x])^2)\\\\E[c]=160+40(0.96+0.96^2)\\\\E[c]=235.264

Hence, Expected value of the daily cost of operating the machine is 235.264.

5 0
2 years ago
Joe receives an average of 780 emails in his personal account and 760 emails in his work account each month. After changing his
Semmy [17]

Answer:

702 emails

Step-by-step explanation:

<h2>This problem bothers on depreciation of value, in this context it is Joe's email that has depreciated by 10%.</h2>

Given data

Average personal emails received monthly = 780 emails

Average work emails received monthly= 760 emails

     

      We are required to solve for the new amount of emails Joe will be receiving after changing his address, to find this value we need to solve for the depreciation of his personal mails.

      After solving for the depreciation , we then need to subtract the depreciation from the initial number of mails to get the new number of mails.

let us solve for 10% depreciation.

depreciation= \frac{10}{100} *780\\depreciation=0.1*780= 78 emails

The new number of mails

= initial number of mail- depreciation\\ =780-78= 702 emails

Joe will be receiving an average of 702 emails in his personal account monthly

7 0
2 years ago
A car tire with a radius of 16inches is turning at a rate of 120 revolutions per minute. Find the exact linear speed of the tire
anygoal [31]

Answer:

The speed of the tyre of the car is 1002.24 feet per minute .

Step-by-step explanation:

Given as :

The radius of the car wheel = r = 16 inches

Since 12 inches = 1 feet

So,  16 inches = \frac{1}{12}×16 = 1.33 feet

The number of revolution of the wheel = 120 revolution per minute

Let The speed of the wheel = s feet per minute

The circumference of wheel = 2 × \pi × radius

where  \pi  = 3.14

or, circumference =  2 × 3.14 × 1.33

Or, Circumference = 8.352 feet

Now , Speed =  circumference of wheel × number of revolution

or, Speed = 8.352 feet × 120 revolution per minute

∴ Speed = 1002.24 feet per minute

Hence The speed of the tyre of the car is 1002.24 feet per minute . Answer

4 0
2 years ago
Caleb has 1/3 of a watermelon. He cuts it into 4 equal pieces. What fraction of the watermelon is each piece
polet [3.4K]

Answer:

1/12 of the watermelon in each piece

Step-by-step explanation:

  1. We must divide 1/3 by 4.
  2. 1/3 divided by 4 is also 1/3 x 1/4.

The final answer is 1/12.



<em>I hope this helped!</em>

5 0
2 years ago
Read 2 more answers
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