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3 years ago

Use the distributive property to find the product of the expression below. 8 (x + 8)

Mathematics

2 answers:

11Alexandr11 [23.1K]3 years ago

6 0

The equation would be 8x + 64 then you divide and get 8. So the answer is x = 8

Tema [17]3 years ago

3 0

Answer:

=8x+64

Step-by-step explanation:

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Use elimination method to solve<br> 5x+y=-10<br> 7x-3y=-36

k0ka [10]

$5x+y=-10\\ \\ 7x-3y=-36$

Let's multiply the first equation by 3. (As you can see y's coefficient in the first one is 1 and in the second one is -3 , we will multiply the first equation by 3 so when we add the equations their sum will be 0)

$3\cdot (5x+y)=3\cdot -10\\ \\ 15x+3y=-30$

Now let's add this new equation and our second equation.

$7x-3y=-36\\ \\ 15x+3y=-30\\ \\ (15x+3y)+(7x-3y)=(-30)+(-36)\\ \\ 15x+7x+3y-3y=-30-36\\ \\ 22x=-66\\ \\ x=\frac { -66 }{ 22 } \\ \\ x=-3$

We found x=-3

Now let's plug x's value in one of the equations to find y's value.

$x=-3\\ \\ 5x+y=-10\\ \\ 5\cdot -3+y=-10\\ \\ -15+y=-10\\ \\ y=-10+15\\ \\ y=5$

So we found y=5

Solution ;

(-3, 5)

7 0

3 years ago

An aquarium is in the shape of a cube. The aquarium can hold between 4096 cubic inches and 8000 cubic inches of water. What are

pantera1 [17]

Answer: The possible side lengths are either 16 inches or 20 inches

Step-by-step explanation: The aquarium is in the shape of a cube which suggests that, all dimensions (length, width and height) are equal.

If it can hold 4096 cubic inches of water, then the volume of water in it can be calculated as follows;

Volume = L x W x H

Knowing that all three dimensions are the same the formula can be re-written as;

Volume = L³

4096 = L³

Add the cube root sign to both sides of the equation

∛4096 = ∛L³

16 = L

Also if it can hold up to 8000 cubic inches of water, then the volume of water in it can be calculated as;

Volume = L³

8000 = L³

Add the cube root sign to both sides of the equation

∛8000 = ∛L³

20 = L

Therefore, if the aquarium can hold between 4096 and 8000 cubic inches of water, then the side lengths are either 16 inches or 20 inches

3 0

3 years ago

Lin is running on a track. Lin runs 5 laps around a track in 6 minutes. How many laps per minute is that? (Find both Unit Rates)

grandymaker [24]

They got the 1.2 minutes by taking the total number of minutes (6) and dividing them by the number of laps run (5). So 6 divided by 5 gives you the 1.2.

3 0

3 years ago

The volume of a cylinder is 156 x cm3. What is the volume of a cone with the same base and height as the cylinder?

Flura [38]

Answer: SECOND OPTION (52 cm³)

Step-by-step explanation:

The formula for calculate the volume of a cone is:

$V{co}=\frac{1}{3}r^{2}h\pi$

Where r is the radius and h is the height.

The formula for calculate the volume of a cylinder is:

$V{cy}=r^{2}h\pi$

Where r is the radius and h is the height.

As you can see, the difference between the the formulas is that r²hπ of the cone is divided by 3. Therefore, if you know the volume of the cylinder and you know that the cone has the same base and height as the cylinder, you have to divide the volume of the cylinder by 3 to obtain the volume of the cone.

Therefore, the result is:

$V{co}=\frac{156cm^3}{3}=52cm^3$