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WARRIOR [948]
2 years ago
12

selma is now 3 times older than joyce . four years ago , selma was 4 times as old as joyce was then . find their present ages

Mathematics
1 answer:
adoni [48]2 years ago
8 0

Present age of Selma = s

Present age of Joyce = j

Selma is now 3 times as old as joyce

s=3j........(1)

Four years ago,

s-4=j-4

then

Selma was 4 times as old as joyce

s-4=4(j-4)

s-4=4j-16

s=4j-16+4

s=4j-12.............(2)

Put the value of s in (2) from (1)

3j=4j-12

3j-4j=-12

-j=-12

Multiply by -1 both sides

j=12

Put the value of j in (1)

s=3j

s=3(12)

s=36

Present age of Selma = s = 36 years old

Present age of Joyce = j = 12 years old

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sergiy2304 [10]
Zero pair is a pair of numbers whose sum is zero, used to illustrate addition and subtraction problems... with positive and negative integers. 
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7 0
2 years ago
Caroline, Colin & Sarah share some money.
aev [14]

Answer:

Colin gets  \frac{2}{3}

Step-by-step explanation:

One part is excluded in the problem. That part is:

"Caroline gets \frac{1}{9} of the money."

<u>Solution:</u>

If Caroline gets 1/9th, then remaining is:

1-\frac{1}{9}=\frac{8}{9}

Colin and Sarah share in ratio 3 is to 1, that means 3 + 1 = 4 parts...

8/9th in 4 parts means, each part is:

\frac{\frac{8}{9}}{4}=\frac{2}{9}

We know Colin gets "3" parts of the total, each part is (2/9)th, so 3 parts would be:

3*\frac{2}{9}=\frac{6}{9}=\frac{2}{3}

Colin gets  \frac{2}{3}

7 0
2 years ago
When Joseph first starts working at a grocery store, his hourly rate is \$10$10dollar sign, 10. For each year he works at the gr
morpeh [17]

Answer:

R(t)=10+0.50t

Step-by-step explanation:

Let t represent the number of years.

We have been given that When Joseph first starts working at a grocery store, his hourly rate is $10.

For each year he works at the grocery store, his hourly rate increases by $0.50. Increase in hourly rates after t years would be 0.50t

The hourly rates after t years will be 10 plus 0.50t.

We can represent this information in an equation as:

R(t)=10+0.50t

Therefore, the function R(t)=10+0.50t represents Joseph's hourly rates after t years.

3 0
2 years ago
Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus \$6$6dollar sign, 6 for each ho
Margarita [4]

For this case, the first thing we must do is define variables.

We have then:

t: number of hours

F (t): total charge

We write the function that models the problem:

F (t) = 6t + b

Where,

b: represents an initial fee.

We must find the value of b.

For this, we use the following data:

Her total fee for a 4-hour job, for instance, is $ 32.

We have then:

32 = 6 (4) + b

From here, we clear the value of b:

32 = 24 + b

32-24 = b

b = 8

Then, the function that models the problem is:

F (t) = 6t + 8

Answer:

the function's formula is:

F (t) = 6t + 8

7 0
2 years ago
Door panels are stored in the yard on pallets holding 20 panels. The yard currently has 5 complete pallets and 20 additional pal
Sladkaya [172]

At the end of tomorrow, inventory of 5+20 pallets will have been used to fill orders for 2+10 pallets. That leaves inventory on hand of

... 25 - 12 = 13 pallets

Since each holds 20 panels, that amounts to

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5 0
2 years ago
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