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yulyashka [42]
3 years ago
9

Write and equation for each situation. Solve the equation.

Mathematics
1 answer:
aleksley [76]3 years ago
5 0

Answer: The length of the rectangle is 13.5 units and the width is 4.5 units

Step-by-step explanation: The perimeter of the rectangle has been given as 36 units. The formula applied to calculate the perimeter is

Perimeter = 2(L + W)

However the details in the question states that the rectangle is three times as long as it is wide. That is, the length is three times it’s width. So if the width is W then the length is 3W.

Therefore, to calculate the perimeter we shall apply the following;

Perimeter = 2(3W + W)

If the perimeter is given as 36 units, then we have;

36 = 2(4W)

We cross multiply and we have

36/2 = 4W

18 = 4W

Divide both sides of the equation by 4

4.5 = W

So the width is calculated as 4.5, hence the length would be 3W which equals 3 x 4.5 and that equals 13.5

Therefore, Length = 13.5 units and Width = 4.5 units

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Solve each equation.<br> 7) 18 =-2+a<br> 8) -7= m - 12<br> 9) -8(7 + 7n)=-336<br> 10) -140=-7(-4+36)
lesya692 [45]

Answer:

7) a= 20

8) m= 5

9)n = 5

10) b = 8

Step-by-step explanation:

7) 18+2=-2+2+a

>> 20 = a >> a = 20

18 + 2 = 20 so that isolates the variable leaving a = 20

8) -7+12 = m -12+12

>>> 5 = m >> m = 5

-7 + 12 = 5 so that again isolates the variable leaving m = 5

9) <u>-8(7</u> + <u>7n</u>) = -336

>> -56+56 + -56n = -336+56

>>> -56n/-56 = -280/-56

>>>> n = 5

use distributive property, cancel out necessary numbers, isolate the variable. leaving n = 5.

10) -140 = <u>-7(-4 </u>+ <u>3b)</u>

>>  -140 = 28 - 21b >> -140-28 = -21b +28-28 ( flipped the numbers)

>>>  -168/-21 = -21b /-21

>>>> 8 = b >> b =8

Hope it helps!

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3 years ago
A new element with atomic number 116 was discovered in 2000. In 2012 it was named livermorium, Lv. Although Lv is radioactive an
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Answer:

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Livermorium is located in the seventh period and sixteenth column of the periodic table. The noble gas configuration for livermorium is [Rn]7s²5f¹⁴6d¹⁰7p⁴. The valence electrons are the ones in the orbitals with the highest quantum number (coefficient). Remember, there can be up to 8 valence electrons at one time. Therefore, the valence electron configuration is 7s²7p⁴.

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Answer:

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Total in 6 years: 2,160

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