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3 years ago

4x + 3y = 5 x + 2y = 10 substitution method

Mathematics

1 answer:

Sloan [31]3 years ago

4 0

X= -4 and y= 7 .............

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What is the direct variation equation for the table of ordered pairs

ivolga24 [154]

Y = kx
4.8 = 4k
k = 4.8/4 = 1.2

Therefore, required equation = y = 1.2x

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3 years ago

What is the most appropriate unit of measure for the distance between Atlanta, GA and Athens, GA?

puteri [66]

Man your answer is C all the way merry Christmas btw and happy new year

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3 years ago

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If y varies directly as x and y=3 when x=2 find y when x=8

satela [25.4K]

Answer:

Step-by-step explanation:

x=2 was multiplied by 4 to get to x=8 so you multiply y=3 by 4 to make it y=12

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3 years ago

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Find the exact volume of the cylinder.

Verizon [17]

Answer:

$\boxed {\boxed {\sf C. \ 200 \pi \ ft^3}}$

Step-by-step explanation:

We are asked to find the volume of the cylinder. The formula for calculating a cylinder's volume is:

$v= \pi r^2 h$

We know the height of the cylinder is 8 feet. We are given the diameter, the distance from edge to edge through the center. We want to find the radius, the distance from the edge to the center.

The radius is half the diameter.

r = d/2
r= 10 ft/2
r=5 ft

We know both variables (h= 8ft and r=5 ft) and can substitute them into the formula.

$v= \pi (5 \ ft)^2 * (8 \ ft)$

Solve the exponent.

5 ft * 5ft = 25 ft²

$v= \pi (25 \ ft^2)(8 \ft)$

Multiply the numbers in parentheses.

$v= \pi (200 \ ft^3)$

$v= 200 \pi \ ft^3$

The volume of the cylinder is <u>200π cubic feet and choice C is correct.</u>

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2 years ago

Pam’s grandfather has a garden that measures 4 feet by 6 feet. How much will the area be increased if he doubles the length and

ExtremeBDS [4]

Answer:

The area will be increased by 72 feet.

Step-by-step explanation:

4 x 6 = 24

Now we have to double those lengths.

We know that 4 x 2 is 8 and 6 x 2 is 12.

So the new equation would be: 8 x 12 = 96

Now we take the original area and subtract it by the new area.

96 - 24 = 72

Hope this helps:)

7 0

2 years ago