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Goshia [24]
3 years ago
5

a right rectangular prism has these dimensions length 1 and 1/2 units width 1/2 units height 3/4 units. How many cubes of side l

ength 1/4 unit are required to completely pack the prism without any gap or overlap
Mathematics
1 answer:
Lena [83]3 years ago
6 0
Volume of rectangular prism = 1 1/3 x 5/6 x 2/3 = 4/3 x 5/6 x 2/3 = 20/27

Volume of cube = 1/6 x 1/6 x 1/6 = 1/216

Number of cubes that will pack the rectangular prism = 20/27 / 1/216 = 160
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Becky d james have a total of 4 2/8 feet of yarn. Becky has 1 5/8 feet of yarn. How many feet of yarn does james have?
ra1l [238]
Let
x----------------> <span>feet of yarn of Becky
y----------------> </span><span>feet of yarn of James

we know that
4 2/8------> 4 1/4--------> (4*4+1)/4-----> 17/4
1 5/8------> (1*8+5)/8-----> 13/5
x+y=4 2/8-------> x+y=17/4----> equation 1
x=1 5/8--------> x=13/5------> equation 2
substitute 2 in 1
[13/5]+y=17/4------> y=(17/4)-(13/5)----> y=[5*17-4*13]/20
y=(85-52)/20-----> y=33/20----> y=1.65-----> y=1 65/100----> y=1 13/20

the answer is
</span><span>james have 1 13/20 ft of yarn</span>
7 0
3 years ago
What is the equation of a line that is parallel to -2x+3y=-6 and passes through the point (-2,0)
mr_godi [17]
First, a line that is parallel, means a line that has the same slope as the original. To find the slope of the original equation, we have to solve for y.
-2x+3y=-6
3y=2x-6
y=2/3x-2
From this equation, we can see that the slope of the line is 2/3. For every 2 units you go up, you move three units over.

Now we need to use the point (-2,0) to find the equation of the parallel line. 
y-y=m(x-x)

Plug in the point coordinates and the slope, and solve for the final equation of the line.
y-0=2/3(x+2)
y=2/3x+ 4/3
4 0
3 years ago
(Please help me with this one it is due in ten minutes :'(
Flura [38]

Answer:

I think the answer is C

Step-by-step explanation:

First you need to find 2 coordinates on the graph. (2,3) (4,6)

Use the formula M= y2-y1 ÷ x2-x1

Then m= 6-3 ÷ 4-2

Then m= 3÷2 = 1.5

So the slope should be 1.5 or 1 1/2

6 0
3 years ago
What is the image of the point (3, -2) under a dialtion with a scale factor of 4 with respect to the origin?
Bogdan [553]

Answer:

(12,-8)

Step-by-step explanation:

scale factor is 4

(x,y)=(4x,4y)

(3,-2)=(12,-8)

3 0
3 years ago
Erika is working on solving the exponential equation 50x = 17; however, she is not quite sure where to start. Using complete sen
valina [46]

Answer:

Step-by-step explanation:

8 0
3 years ago
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