Assign two variables for each problem, and write the equations. Solve.In five years, Kate will be twice as old as Joey. Right now, Kate is 11 years older than Joey. How old is Joey right now?

I need two variables and two equations. And please solve it.

Answers

Answer 1

Answer: lets make k equal to Kate's age and j equal to Joey's age. If in 5 years Kate will be twice as old as Joe, you can write the equation k+5=2(j+5) and then simplify it to make it easier to work with.
k+5=2(j+5)
k+5=2j+10
k+5-2j=10
k-2j=5
since we know that right know Kate is 11 years older than Joey, you can write the equation k+j=11. Since you know have two equations with with the same variable, you can make a system of equations as fallows:
k-2j=5
k+j=11

Since you need to figure out how old Joey is, you need to somehow get k to cancel out. The easiest thing to do for this problem is to is multiply the top equation by -1 to get:
-k+2j=-5 (you have to add the bottom equation to the top equation)
k+j=11 (-k+k=0, 2j+j=3j, and -5+11=6)
Since k got canceled out, you are left with the equation 3j=6 which means j=2.
Therefore, Joey's current age is 2.

I hope this helps.

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Apples lose 85% of their weight while drying. What weight of fresh apples do you need to pick in order to get 10.5 lb of dried apples?

Answers

Answer:

$70\ lb$

Step-by-step explanation:

Let

x------> weight of fresh apples

we know that

$85\%=(85)/(100)=0.85$

$(1-0.85)x=10.5$

$0.15x=10.5$

Solve for x

Divide by $0.15$ both sides

$x=10.5/0.15$

$x=70\ lb$

Answer:

Step-by-step explanation:

70 pounds

The following question references the novel Jane Eyre by Charlotte Bronte.How does Jane gain financial independence?
a. Her uncle leaves her 20 thousand pounds
c. She write a book that is published
b. Parent's from the school reward her for her work
Please select the best answer from the choices provided

Answers

The answer is:

A: Her uncle leaves her 20,000 pounds

Her uncle leaves her 20 thousand pounds yet she gives 15 thousand pounds to her cousins the Rivers.

solve for m (r=3m+3z) solution is m=___, use integers or fractions for any numbers in the expression (simplify answer) please help

Answers

$r=3m+3z\n\n3m=3z-r\ \ \ \ /:3\n\nm=z-(r)/(3)$

Change the following percents to fractions and reduce

Answers

Here are the answers.

6. 63/100

7. 75/100 = 3/4

8. 91/100

9. 18/100 = 9/50

10. 3/100

11. 25/100 = 1/4

12. 5/100 = 1/20

13. 16/100 = 4/25

14. 1/100

15. 79/100

16. 40/100 or 4/10 = 2/5

17. 99/100

18. 30/100 or 3/10 = 3/10

19. 15/100 = 3/20

20. 84/100 = 21/25

I hope you find this answer the most helpful! :)

A 30 gallon tub is completely full. The drain is opened and the tub begins draining at a of 1.5 gallons per minute. How long will it take the tub to completely drain?

Answers

1.5÷60=0.025 per second

30÷0.025=1200 second

1200÷60 =20 hours

20 hours

4. Mr. Ramos notices a pattern in the number of people attending the weekly students governing. For weeks 1,2,3,4, and 5, the number of students attending the meetings was 31, 43, 55, 67, and 79, respectively. Write an explicit equations that models the pattern Mr. Ramos notices