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kati45 [8]
3 years ago
15

How to find the volume of a prism that is 2ft by 1 1/2ft by 1 1/2 ft

Mathematics
1 answer:
Ann [662]3 years ago
6 0
Multiply all to get, 4.5
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3.78/6= 0.63
$0.63 per bottle
42(0.63)= $26.46
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There are 8 boys in a class of 15 students. (a) what is the ratio of boys to girls? (b) whatis the ratio of all students in clas
Kisachek [45]
8/15 and all students to girl is 8+15 so 23/15
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Please help me i do not understand explain how you answer the following questions.
dlinn [17]

For 6, you could divide 56 kilometers by 8 kilometers to get 7 kilometers. Multiply 7 by 5 to get 35. There would be 35 miles in 56 kilometers

7 0
2 years ago
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.

3 0
2 years ago
Which of the following is the slope of the line<br> A. -3<br> B. 1/3<br> C. -1/3<br> D. 3
Crazy boy [7]

A

Ask if explanation needed :)


6 0
3 years ago
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