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kompoz [17]
3 years ago
13

What is the depth and volume of this rectangular prism in cubes and cubic inches?

Mathematics
1 answer:
Inessa05 [86]3 years ago
6 0
Height = 3 cubes
Width = 5 cubes
Depth = 4 cubes

Number of Cubes = 3*4*5 = 60

Each cube is .2 inches on each side

So, it's volume = 1 * .6 * .8 = .48 cubic inches

Double - Check
Each cube is .2*.2*.2 = <span> <span> <span> 0.008 </span> </span> </span> cubic inches
There are 60 cubes so the volume =
60 * .008 = .48 cubic inches CORRECT !!




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Can anyone help me solve 23, 24?
zimovet [89]

Answer:

Problem 23) y=3x+6

Problem 24) y=-\frac{1}{3}x-5

Step-by-step explanation:

step 1

Find the slope of the given line

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

A(0,2)\ B(3,1)

Substitute the values

m=\frac{1-2}{3-0}

m=-\frac{1}{3}

step 2

Problem 23

we know that

If two lines are perpendicular then the product of its slopes is equal to minus 1

so

m1*m2=-1

Find the slope of the line

we have

m1=-\frac{1}{3}

substitute in the equation and solve for m2

(-\frac{1}{3})*m2=-1

m2=3

with the slope m2 and the point (0,6) find the equation of the line

Remember that

The equation of the line in slope intercept form is equal to

y=mx+b

we have

m=3

b=6 -----> the given point is the y-intercept

substitute

y=3x+6

step 3

Problem 24

we know that

If two lines are parallel, then its slopes are the same

so

with the slope m1 and the point (0,-5) find the equation of the line

The equation of the line in slope intercept form is equal to

y=mx+b

we have

m=-\frac{1}{3}

b=-5 -----> the given point is the y-intercept

substitute

y=-\frac{1}{3}x-5

8 0
3 years ago
Solve for x. 2(1)=x+1
SVEN [57.7K]

Answer:

1

Step-by-step explanation:

You will be multiplying 1 into 2. You then subtract 1 from 2.

which will give you 1= x

5 0
3 years ago
Read 2 more answers
Please could you help me with this question. I've been off school for a few weeks and this is my second day back in and I have n
strojnjashka [21]

Answer:

-3,2,5

for the graph start with a point at (0,2) then go over 1 and up 1

Step-by-step explanation:

3 0
2 years ago
How to Find x value: 9-0.75(x+8)-5=-6.5
Dahasolnce [82]
Here's how to find the value of x:

<span>9 - 0.75 ( x + 8 ) - 5 = -6.5      find the difference of 9 - 0.75

</span><span>8.25 ( x + 8 ) - 5 = -6.5           add 5 to both sides
</span>
8.25 ( x + 8 ) = -1.5                distribute 8.25 to x and 8

8.25x + 66 = -1.5                    subtract 66 from both sides

8.25x = -67.5                          divide both sides by 8.25

x = 18.18181818......            the value of x is 18 2/11

hope this helps
8 0
2 years ago
Perfect Pies charges $6 for an apple pie.
Aloiza [94]

Answer:

6 * p ≤ 30

p  ≤ 5

The maximum number of pies she can buy is 5

Step-by-step explanation:

Let p equal the number of pies she will buy

Each pie costs 6 dollars.  She will spend 6 * p

The cost must be less than or equal to 30 dollars

6 * p ≤ 30

To solve divide each side by 6

6 * p/6 ≤ 30/6

p  ≤ 5

8 0
3 years ago
Read 2 more answers
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