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Mazyrski [523]
3 years ago
14

What percent of a foot is in 3 inches.; 4 inches.; 6 inches.; 9 inches. ? 3 inches is _% of a foot 4 inches is _% of a foot 6 in

ches is _% of a foot 9 inches is _% of a foot
Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
3 0

Answer:

3 inches is 25 percent of a foot

4 inches is 33.33 percent of a foot

6 inches is 50 percent of a foot

9 inches is 75 percent of a foot

Step-by-step explanation:

The first thing we need to do to solve this problem is to convert our measurements in feet to inches.

1 foot = 12 inches

we can now find our percentage with ease since we are now making comparisons, using the same unit of measurement as a reference.

To get the percentage of which 3 is of 12, we simply perform the following operation: We divide 3 by 12 then multiply it by a hundred percent.

(3/12) X 100 = 25 percent.

3 inches is 25 percent of a foot

Similarly,

4 inches = (4/12) X 100 = 33.33 percent of a foot

6 inches =(6/12) X 100 = 50 percent of a foot

9 inches = (9/12) X 100 = 75 percent of a foot

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8p+8=10+7p what is the solution set
Evgesh-ka [11]
The answer is:  "p = 2" .
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Explanation:
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Given:
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  " 8p + 8 = 10 + 7p " ;   Solve for "p" ; 

Subtract "7p" from each side of the equation; & subtract "8" from each side of the equation; as follows:

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"p = 2 " ;  which is our answer.
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8 0
3 years ago
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Find the area of the region bounded by the line y=3x-6 and line y=-2x+8.
Vikentia [17]

Answer:

A = 12/5 units

Step-by-step explanation:

USING ALGEBRA:

We can find the intersection point between these two lines;

y = 3x - 6

y = -2x + 8

Set these two equations equal to each other.

3x - 6 = -2x + 8

Add 2x to both sides of the equation.

5x - 6 = 8

Add 6 to both sides of the equation.

5x = 14

Divide both sides of the equation by 5.

x = 14/5  

Find the y-value where these points intersect by plugging this x-value back into either equation.

y = 3(14/5) - 6

Multiply and simplify.

y = 42/5 - 6

Multiply 6 by (5/5) to get common denominators.

y = 42/5 - 30/5  

Subtract and simplify.

y = 12/5

These two lines intersect at the point 12/5. This is the height of the triangle formed by these two lines and the x-axis.

Now let's find the roots of these equations (where they touch the x-axis) so we can determine the base of the triangle.

Set both equations equal to 0.

(I) 0 = 3x - 6  

Add 6 both sides of the equation.

6 = 3x

Divide both sides of the equation by 3.

x = 2  

Set the second equation equal to 0.

(II) 0 = -2x + 8

Add 2x to both sides of the equation.

2x = 8

Divide both sides of the equation by 2.

x = 4

The base of the triangle is from (2,0) to (4,0), making it a length of 2 units.

The height of the triangle is 12/5 units.

Formula for the Area of a Triangle:

A = 1/2bh

Substitute 2 for b and 14/5 for h.

A = (1/2) · (2) · (12/5)

Multiply and simplify.

A = 12/5

The area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.

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2 years ago
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Why does it help to rearrange
hichkok12 [17]

Answer:

You don't really need to do it, but it helps you keep things more organized and easier to follow. Imagine if you're doing some multi-variable equation,

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that looks like a mess, it'll be easier to look at if you put all the similar variables next to each others like this:

a + 2a + b + 5b + 3c + 2d + 4d

(a + 2a) + (b + 5b) + 3c + (2d + 4d)

now you can add them up much easier.

8 0
3 years ago
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