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2 years ago

Can somebody PLEASE help !!!

Mathematics

1 answer:

chubhunter [2.5K]2 years ago

4 0

Answer:

Elissa needs 4 quarts of paint, or 1 gallon.

Step-by-step explanation:

Elissa's room is in the shape of a rectangular prism. Assuming that she will only be painting the walls and not the floor or ceiling, you just need to calculate the area of the four walls - front and back and side to side. Based on the dimensions given, the area of Elissa's front and back walls are 8 ft x 9 ft or 72 ft² for each wall. Since there are two, we take that area times two: 72 x 2 = 144 ft².

Elissa's side walls are 8 ft x 13 ft or 104 ft² for each wall. Since there are two, we take this area times two: 104 x 2 = 208 ft².

To find the total area needed to paint, we add all four walls: 144 + 208 = 352 ft². Since a quart of paint covers 100 ft² and a gallon covers 400 ft², Elissa can either purchase 4 quarts of paint or 1 gallon to paint her bedroom.

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Which statement best explains why the value of this expression is equal to −812y? 414x − 812y − 414x

GarryVolchara [31]

For this case we have the following expression:
414x - 812y - 414x
Rewriting we have:
414x - 414x - 812y
We group similar terms:
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0 - 812y
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Answer:
The sum of a number and its opposite is 0, and the sum of any number and 0 is the number itself.

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Which number line represents the solution set for the inequality –4(x + 3) ≤ –2 – 2x?

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This answer is not represented in the pictures you attached

The line starts in x = -5 and goes up to infinity

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Step-by-step explanation:

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Help. Please. Thank You.

GenaCL600 [577]

Answer:

$(A)\ a=-6;b=4\\\\ (B)\ a=6;b=-4$

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+c$

Where "m" is the slope and "c" is the y-intercept.

By definition:

1. If the lines of the System of equations are parallel (whrn they have the same slope), the system has No solutions.

2. If the they are the same exact line, the System of equations has Infinite solutions.

(A) Let's solve for "y" from the first equation:

$3x-2y=-1\\\\-2y=-3x-1\\\\y=\frac{3}{2}x+\frac{1}{2}$

You can notice that:

$m=\frac{3}{2}\\\\c=\frac{1}{2}$

In order make that the System has No solutions, the slopes must be the same, but the y-intercept must not. Then, the values of "a" and "b" can be:

$a=-6\\\\b=4$

Substituting those values into the second equation and solving for "y", you get:

$-6x+4y=-2\\\\4y=6x-2\\\\y=\frac{6}{4}x-{2}{4}\\\\y=\frac{3}{2}x-\frac{1}{2}$

You can idenfity that:

$m=\frac{3}{2}\\\\c=-\frac{1}{2}$

Therefore, they are parallel.

(B) In order make that the System has Infinite solutions, the slopes and the y-intercepts of both equations must be the same. Then, the values of "a" and "b" can be:

$a=6\\\\b=-4$

If you substitute those values into the second equation and then you solve for "y", you get:

$6x+(-4y)=-2\\\\-4y=-6x-2\\\\y=\frac{-6}{-4}x-\frac{2}{-4}\\\\y=\frac{3}{2}x+\frac{1}{2}$

You can identify that:

$m=\frac{3}{2}\\\\b=\frac{1}{2}$

Therefore, they are the same line.

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2 years ago