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Luda [366]
2 years ago
10

Consider the equation below -2(5x + 8) = 14 + 6x complete the statements below with the process used to achieve steps 1-4

Mathematics
1 answer:
Ad libitum [116K]2 years ago
6 0

Step-by-step explanation:

1. Distribute the -2. multiply-2 with 5x and 8. it will be -10x-16=14+6x. For me, i make small numbers negative or positive than big ones. Add 16 to both sides. it will be -10x=30+6x. Subtract 6x. -10x-6x=-16x. Divide both sides by 16. x=30/16= 1 and 14/16

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Find the height of a rectangular prism if the surface are is 288 square centimetres and the base has a length of 4 centimetres a
liraira [26]
The rectangular prism below is made up of 6 rectangular faces, and the faces opposite to each other are have an equal area.
The area of one of the faces is lxh or lh, and the area of the face opposite to it is also equal, so the area of those two equal faces is 2lh.
The area of the base of the prism is lxw, and the area of its opposite face is equal, so the area of those two equal faces is 2lw.
The area of the face in the left side of the prism is wxh, and the area of the face opposite to it is also equal, so their combined area is 2wh.
So, to find the total surface area of a rectangular prism, we’d add the sum of all the rectangular faces, so the formula of finding the surface area of a rectangular prism=
2lh+2lw+2wh
=2(lh+lw+wh)
Given,
Surface area of the rectangular prism=288 cm^2
2(lh+lw+wh)=288
2[4h+(4x9)+9h)]=288
4h+(4x9)+9h=288/2
4h+(4x9)+9h=144
13h+36=144
13h=144-36
13h=108
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h=8.308 cm
Hope this helps!

8 0
3 years ago
Factorise using the difference of two squares:<br> I)4x squared-(2x+3) squared
alex41 [277]
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4x² - (4x² + 6x + 6x + 9)
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3 years ago
The utility industry had 428.5 thousand jobs in 2010 and is expected to decline at an average rate of 3 thousand jobs per year f
e-lub [12.9K]

Answer:

Utility's percent Change from 2010 to 2020 = 7%

Step-by-step explanation:

Jobs available at the utility industry in 2010= 428.5 thousand

Average rate of decline = 3 thousand

Years between 2010 and 2020

Utility's percent Change from 2010 to 2020 = Total change in jobs / jobs in 2010 × 100

Total change in jobs:

There are 10 years between 2010 and 2020

Jobs decline at an average of 3 thousand per year

Total change in jobs= 10 years × 3 thousand

= 30 thousand

Utility's percent Change from 2010 to 2020 = Total change in jobs / jobs in 2010 × 100

= 30 thousand / 428.5 thousand × 100

= 0.07 × 100

= 7%

Utility's percent Change from 2010 to 2020 = 7%

4 0
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dedylja [7]
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If they're related in that way, then they can be the lengths of the sides of a
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How many people are between the ages of 20 and 49?
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Just add the numbers of the groups 20-34 years and 35-49 years
4 0
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