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ruslelena [56]
3 years ago
7

The length of a rectangle is 16 inches, and it’s area is (32x + 48) square inches. Write an expression for the width.

Mathematics
1 answer:
charle [14.2K]3 years ago
4 0

Answer:

16t=32x+48

16t=16(2x+3)

t=2x+3

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Kim, Laura and Molly share £385
trapecia [35]
Set x equal to the amount of money Kim gets, and y for Molly's money.

 x = 2/5y, since the ratio is 2:5.
y = 105 + x, since Molly has 105 more pounds than Kim.

Substitute x into this equation, so that y = 105 + 2/5y. Subtract 2/5y from both sides to get 3/5y = 105. Divide each side by 0.6 (equivalent to 3/5) and you get y = 175, which is how much Molly has. Kim gets 2/5 of Molly's share (or 105 fewer pounds), so she has 70.

70 + 175 (Kim and Molly's shares) is equal to 245. Therefore, Laura receives the remaining 140 pounds.

140/385 = a/100
Cross multiply so that 385a is 14000. Divide by 385 to get 36.4 (rounded).

Thus, Laura receives about 36.4% of the total money. Hope this helps (:
5 0
3 years ago
Paloma decided to divide 1,292 by 31 using partial quotients. She uses 30 as her first partial quotient. Which are the partial q
yanalaym [24]
I think it would be B-30,10,1
5 0
2 years ago
1. 4x– 15 = 17 - 4x+10x<br> Help?
Nadya [2.5K]

Answer:

x=-16

Step-by-step explanation:

4x– 15 = 17 - 4x+10x

4x+4x-10x = 17+15

-2x=32

-x=16

x=-16

7 0
3 years ago
£70 is divided between Natasha, Richard &amp; Stephen so that Natasha gets twice as much as Richard, and Richard gets three time
Korvikt [17]

The share of Natasha is £ 42

<em><u>Solution:</u></em>

£70 is divided between Natasha, Richard & Stephen

Total amount = 70

Let the share of natasha be "x"

Let the share of richard be "y"

Let the share of stephen be "z"

Natasha gets twice as much as Richard

x = 2y ------ eqn 1

Richard gets three times as much as Stephen

y = 3z

z = \frac{y}{3} ----- eqn 2

Total amount = 70

share of natasha + share of richard + share of stephen = 70

x + y + z = 70

Substitute eqn 1 and eqn 2

2y + y + \frac{y}{3} = 70\\\\\frac{6y+3y+y}{3} = 70\\\\10y = 210\\\\y = 21

Substitute y = 21 in eqn 1

x = 2y = 2(21) = 42

x = 42

Thus natasha gets £ 42

6 0
3 years ago
S=L (1 - r), for r
maria [59]
OK. Then let's solve for ' r '.  That means you have to come up with an equation that says     r =    everything else.

Step #1: 
Write the equation you're given:   <span>S = L (1 - r)

Let's divide each side by ' L ':      S/L = 1 - r

Subtract 1 from each side :         S/L - 1 = -r

Multiply each side by -1 :          <em>  1 - S/L = r</em>

and there you have it.
</span>
3 0
2 years ago
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