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2 years ago

A cubic foot contains roughly 7 1/2 gallons. How many cubic feet are there in a tank containing 34 1/2 gallons

Mathematics

1 answer:

svlad2 [7]2 years ago

6 0

Answer:

4.6 cubic feet

Step-by-step explanation:

take 34 1/2 gallons and divide it by 7 1/2 gallons

34.5 divided by 7.5 = 4.6

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2 years ago

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3 years ago

Use the rules to evaluate or simplify. Write without negative exponents.

zhannawk [14.2K]

(y^-5) / (y^-2)
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7 0

3 years ago

Help me with #22 Please i need steps too

VladimirAG [237]

Answer:

$\frac{1}{2} (8)(x+4)=3(x+6)\\x=2$

Step-by-step explanation:

$\frac{1}{2} bh=bh\\\\\frac{1}{2}(8)(x+4)=3(x+6)\\4(x+4)=3x+18\\4x+16=3x+18\\4x=3x+2\\x=2$

1. set the equation for the area of each shape equal to each other

2. simplify each side until you get $4x+16=3x+18$

3. subtract 16 from both sides which will give you $4x=3x+2$

4. subtract 3x from both sides which will give you the value of x. $x=2$

5. check that $x=2$ is correct by plugging it into the equations

triangle:

$area=\frac{1}{2} (8)(2+4)\\area=4(6)\\area=24$

rectangle:

$area=3(2+6)\\area=3(8)\\area=24$

the areas are the same

4 0

2 years ago

You have a tree in your yard 4 ft to the left of and 5 ft in front of the corner of your porch. A circular fence 3 ft in radius

Natalka [10]

Answer:

$(x+4)^2+(y-5)^2=9$

Step-by-step explanation:

If the corner of your porch is the origin

4 ft to the left, x=-4
5 ft in front, y=5

The tree's location is at (-4,5).

A circular fence 3 ft in radius has its center at the tree(-4,5).

We want to determine the equation of a circle with center (-4,5) and radius 3 ft.

The equation of a circle center (h,k) with a radius of r is given as:

$(x-h)^2+(y-k)^2=r^2$

(h,k)=(-4,5), r=3

The equation formed by the fence therefore is:

$(x-(-4))^2+(y-5)^2=3^2\\\\$Simplifying we obtain:\\\\(x+4)^2+(y-5)^2=9$

8 0

3 years ago