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Minchanka [31]
3 years ago
13

A rectangle with an area of 120 in 2 has a length 8 inches longer than two times its width. What is the width of the rectangle?

Mathematics
1 answer:
nlexa [21]3 years ago
5 0

width = x

length = 2x+8

area = l x w

x<span>(2x+8)</span>=120

<span><span>2<span>x^2</span>+8x−120=0 </span> </span>

<span><span><span>x^2</span>+4−60=0 </span></span>

<span><span><span>(x+10)</span><span>(x−6)</span>=0</span> </span>

<span><span>x=−10 and x=6 </span></span>

<span><span> width has to be a positive number</span></span>

Width = <span>6 </span> inches.

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Vilka [71]

Answer:

Alison wins against Kevin by 0.93 s

Step-by-step explanation:

Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration a_a, we have the following equation of motion

s/4 = a_at_a^2/2

where s (m) is the total distance, ta = 3 s is the time

s = 4a_a3^2/2 = 18a_a

a_a = s/18

Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration a_k, we have the following equation of motion:

s/3 = a_kt_k^2/2

tk = 4 s is the time

s = 3a_k4^2/2 = 24a_k

a_k = s/24

Since a_a = s/18 we can conclude that a_a > a_k, so Alison would win.

The time it takes for Alison to cover the entire track

s = a_aT_a^2/2

T_a^2 = 2s/a_a = 2s/(s/18) = 36

T_a = \sqrt{36} = 6 s

The time it takes for Kevin to cover the entire track

s = a_kT_k^2/2

T_k^2 = 2s/a_k = 2s/(s/24) = 48

T_a = \sqrt{48} = 6.93 s

So Alison wins against Kevin by 6.93 - 6 = 0.93 s

4 0
3 years ago
How do i solve 5y - 10 = -25?
viva [34]
So to find the answer you want to isolate the y. So the first thing you want to do is to move everything to the opposite side of the = sign. You start by adding 10 to both sides.
10+ 5y -10 = -25 +10  
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the tens cancel out on the left side and on the right you get left with -15/
Since y is being multiplied by 5 you always want to do the opposite so you divide by 5.
5y/5 = -15/5
y = -3
It's hard to explain but you just have to remember that what you do to one side you must do to the other to keep the equation balanced.

8 0
4 years ago
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lina2011 [118]

Answer:

The last option

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V is only Exact at (-1.5,3)

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3 years ago
After simplifying, which expressions are equivalent? Select three options. (3.42 – 1.75) + (235a – 3.95) (2.5a + 1.65) + (3.4a +
poizon [28]

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Answer:

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Step-by-step explanation:

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3 years ago
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