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Novay_Z [31]
3 years ago
8

Warm-up question for math:

Mathematics
1 answer:
WARRIOR [948]3 years ago
3 0
^ = 199
! = 199-8+1029-1011 = 209
Its 209
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What is the solution to the system of equations?<br> x=3y+5<br> x-4y=3
vfiekz [6]

<span>Solve </span><span><span>x=<span><span>3y</span>+5</span></span>;<span><span>x−<span>4y</span></span>=3

</span></span><span><span>x=<span><span>3y</span>+5</span></span>;<span><span>x−<span>4y</span></span>=3</span></span>Step: Solve <span>x=<span><span>3y</span>+5</span></span>for x:Step: Substitute <span><span>3y</span>+5 </span>for x in <span><span><span>x−<span>4y</span></span>=3</span>:</span><span><span>x−<span>4y</span></span>=3</span><span><span><span><span>3y</span>+5</span>−<span>4y</span></span>=3</span><span><span><span>−y</span>+5</span>=3 </span>Simplify both sides of the equation<span><span><span><span>−y</span>+5</span>+<span>−5</span></span>=<span>3+<span>−5 </span></span></span>Add -5 to both sides<span><span>−y</span>=<span>−2</span></span><span><span><span>−y</span><span>−1</span></span>=<span><span>−2</span><span>−1 </span></span></span>Divide both sides by -1<span>y=2</span>Step: Substitute 2 for y in <span><span>x =<span><span>3y</span>+5</span></span>:</span><span>x=<span><span>3y</span>+5</span></span><span>x=<span><span><span>(3)</span><span>(2)</span></span>+5</span></span><span>x=11 </span>Simplify both sides of the equationAnswer:<span><span>x=<span><span>11<span> and </span></span>y</span></span>=<span>2</span></span>
8 0
3 years ago
Describe the relationship between the two quantities. volume of a cylinder; height
Temka [501]

The volume of a  given cylinder is directly proportional to its height.

When determining the volume of a cylinder, we take;

=   Base Area(BA) of the cylinder * Height of the cylinder

This automatically proves that when the BA and Height of a particular cylinder is high, the results of its volume is also high.

<em>From the above statement, it is very correct to state that the </em><em>Height of a cylinder</em><em> is directly proportional to the </em><em>volume of a cylinder.</em>

<em></em>

It is also correct to state that the BA of a cylinder is directly proportional to the volume.

<u>Consider the image of the cylinder attached.</u>

Assuming we were to calculate the volume of water from different heights of the cylinder, for example;

Height1= 15 cm

Height2=10 cm

Radius=9 cm

V= \pi R^{2} * H

The volume of the different heights will be;

Height1=  \pi *  9^{2} * 15= 3, 818. 57 cm^{2}

Height2=  \pi *  9^{2} * 10= 2, 545. 71 cm^{2}

Hence the bigger height will result to bigger volume.

To find more on volume of cylinder, look into:

brainly.com/question/6204273

#SPJ4      

6 0
1 year ago
Solve the following equation
Ulleksa [173]

Answer:

n = 20

Step-by-step explanation:

n/2 - 9 = 1

Add 9 to each side

n/2 -9+9 = 1+9

n/2 = 10

Multiply by 2 on each side

n/2*2 = 10*2

n = 20

6 0
3 years ago
Shannon test-drives a car in Germany and drives 95 kilometers per hour. What is her speed in the miles per hour ?
Reptile [31]

Answer:

59.0303 miles per hour

Step-by-step explanation:

8 0
3 years ago
I need help with number 16
Alex

Answer:72 in

Step-by-step explanation:

When we are looking for the area of something we always multiply the numbers they give us.

7 0
3 years ago
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