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Inga [223]
3 years ago
9

Jane had $7 and her sister had $2. Their parents gave each of them an equal amount of money . Then, Jane had twice as much money

as her sister, how much money did their parents give each of them?
PLEASE HELP BEEN STUCK FOR LIKE AN HOUR!!
Mathematics
2 answers:
Mazyrski [523]3 years ago
5 0

Let's use "x" as the equal amount of money.

Jane now has 7+x dollars

Her sister had 2+x dollars

Since Jane has twice the amount of her sister's money, her sister's money now becomes 2(2+x), or 2 times 2+x


Now just solve for x.

7+x = 2(2+x)

Distribute the 2 to 2+x

7+x = 4 + 2x

Subtract x from both sides

7 = 4 + x

Subtract 4 from both sides

3 = x

<em>Their parents gave them $3.</em>

If you want to check your work, just plug in 3 as x for their equations.

Jane: 7 + 3 = 10

Jane's sister: 2 + 3 = 5

10 is in fact twice of 5.

slega [8]3 years ago
3 0

Answer:

They each got $3.00

Step-by-step explanation:

7+x = 2(2+x)

7+x = 4 + 2x

-x = -3

x=3

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The length of a rectangle is 3 more than 3 times its width. The perimeter of the rectangle is 174 inches. What is the length of
saveliy_v [14]

Answer:

<em>l = w + 3cm</em>

<em>l = w + 3cmp = 2l + 2w = 58cm</em>

<em>l = w + 3cmp = 2l + 2w = 58cm </em>

<em>l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:</em>

<em>l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58</em>

<em>l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58</em>

<em>l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13</em>

<em>l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13 </em>

<em>l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13 Plug back in:</em>

<em>l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13 Plug back in:l = (13cm) + 3cm = 16cm</em>

<em>l = w + 3cmp = 2l + 2w = 58cm Solve by substitution:2l + 2w = 58 ⇒ 2(w + 3) + 2w = 58⇒ 2w + 6 + 2w = 4w + 6 = 58⇒ 4w = 52 ⇒ w = 13 Plug back in:l = (13cm) + 3cm = 16cmStep-by-step explanation:</em>

I hope this helps you.

5 0
3 years ago
Part B
Georgia [21]

Answer:140

Step-by-step explanation: It is a really big number not the most reasonable answer for the low amount of marbles their are in the jar adding 58 and 82 gives you your answer

5 0
3 years ago
How in the world do I answer this problem??​
galben [10]

Answer:

22

Step-by-step explanation:

ST is y and SU is 2y-4.

Note that SU = ST + TU = y + 18

So we have 2y - 4 = y + 18

2y - 4 = y + 18

2y      = y + 22

y        = 22

So ST is 22.

:)

4 0
3 years ago
A Ferris wheel can accommodate 40 people in 20 minutes. How many people
Montano1993 [528]

Answer:

360 people in 3 hours. 120 people per hour.

Step-by-step explanation:

How many times do 20 minutes go into 3 hours?

Well, 60 min. ÷ 20 min. = 3

So, 3 x 3 = 9

So 40 people went on the ride each 20 minutes. And there are (3) 20 minutes in every hour.

So 3 hours would be 9 x 40 = 360

120 people per hour because 40 x 3 = 120

and 20 minutes (3) times equals 1 hour.

6 0
2 years ago
The length of a rectangle is 5 times larger than x. The width is 4 cm less than the length. The perimeter is at least 96 cm. Wha
Ede4ka [16]

We know that the perimeter of a rectangle = 2(l + w)

l = length

w = width

In our problem,

l = 5x

w = 5x - 4

Let's create an inequality to help us solve this problem.

2(5x + (5x - 4)) ≥ 96

Let's start off by simplifying the terms inside the parentheses.

2(10x - 4) ≥ 96

Distribute the 2

20x - 8 ≥ 96

Add 8 to both sides.

20x ≥ 104

Divide both sides by 20

x ≥ 5.2

Let's plug 5.2 into x for our length and width.

Length = 5x = 5(5.2) = 26 cm

Width = 5x - 4 = 5(5.2) - 4 = 26 - 4 = 22 cm

The smallest possible dimensions for the rectangle are, length = 26 cm and width = 22 cm  

6 0
3 years ago
Read 2 more answers
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