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Digiron [165]
3 years ago
7

Sam is a painter. He has 2 1/4 gallons of paint, and it takes 3/4 of a gallon to paint a room. How many rooms can he paint?

Mathematics
2 answers:
Masteriza [31]3 years ago
5 0
The answer is c . I hope I helped
Natali5045456 [20]3 years ago
4 0

The answer is c i think :)

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What is the domain of the function indicated by the points on the coordinate plane?
Sophie [7]
The answer is C if not sorry
7 0
3 years ago
The first three towers in a sequence are shown. The nth tower is formed by stacking n blocks on top of an n times n square of bl
erik [133]

Answer:

The 99th tower contains 9900 blocks.

Step-by-step explanation:

From the question given, we were told that the nth tower is formed by stacking n blocks on top of an n times n square of blocks. This implies that the number of blocks in n tower will be:

n + n²

Now let us use the diagram to validate the idea.

Tower 1:

n = 1

Number of blocks = 1 + 1² = 2

Tower 2:

Number of blocks = 2 + 2² = 6

Tower 3:

Number of blocks = 3 + 3² = 12

Using same idea, we can obtain the number of blocks in the 99th tower as follow:

Tower 99:

n = 99

Number of blocks = 99 + 99² = 9900

Therefore, the 99th tower contains 9900 blocks.

7 0
3 years ago
What is the height of a rectangular prism that has a volume of 280 cubic meters,a length of 8 meters, and a width of 7 meters? S
lyudmila [28]
When looking at a rectangular prism, we know that Volume = length * width * height

If we are given that the volume of the prism is 280 cubic meters (m^3), the length is 8 meters, and the width is 7 meters, we can fill in our equation.

280 = 8 * 7 * height
280 = 56 * height

Because we are solving for the height, we divide both sides by 56

280/56 = height

height = 5 meters

8 0
3 years ago
A rancher has 2 comma 200 feet of fencing to enclose a rectangular pig pen.​ However, one side of the pen lies along a river and
DiKsa [7]

Answer:

A = 2200x - 2x^2

Step-by-step explanation:

Let's x be the length of the side that is NOT the same as the side along the river (or in opposite). From the fencing perimeter of 2200ft we can calculate the other side y of the rectangular:

y = 2200 - 2x

The area A of the pen would be the product of the 2 sides

A = xy = x(2200 - 2x) = 2200x - 2x^2

7 0
3 years ago
I NEED HELP!! please show all work
PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

4^{5x} = 3^{x-2}

\implies \log 4^{5x} = \log 3^{x-2}

Drop the exponents:

\implies 5x \log 4 = (x-2) \log 3

Expand the right side:

\implies 5x \log 4 = x \log 3 - 2 \log 3

Move the terms containing <em>x</em> to the left side and factor out <em>x</em> :

\implies 5x \log 4 - x \log 3 = - 2 \log 3

\implies x (5 \log 4 - \log 3) = - 2 \log 3

Solve for <em>x</em> by dividing boths ides by 5 log(4) - log(3) :

\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}

You can stop there, or continue simplifying the solution by using properties of logarithms:

\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }

\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }

\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}

You can condense the solution further using the change-of-base identity,

\implies \boxed{x = -\log_{\frac{1024}3}9}

5 0
3 years ago
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