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andre [41]
3 years ago
5

The base of a rectangular prism is 5 meters long and 4 meters wide. The prism is 6 meters high. A rectangular pyramid has the sa

me length, width, and height as the prism. What is the ratio of the volume of the rectangular pyramid to the rectangular prism?
Mathematics
1 answer:
DiKsa [7]3 years ago
7 0

Volume of prism: 5 x 4 x 6 = 120 cubic meters

Volume of pyramid: 5x4 x 6/3 = 40 cubic meters

Ratio: 40/120 = 1/3

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Rewrite the expression by using symbols 7(x - 20)
Lelechka [254]

7 × x - 7 × 20

You could rewrite it this way, 7 x (x-20), but the answer above is better 'cause it takes away the grouping symbols

5 0
2 years ago
8 3/4 as a mixed number
Lelechka [254]

Answer:

35/4

Step-by-step explanation:

8 times the denominater which is 4 is 32. 32 plus the nomiater is 35. So its 35/4

5 0
2 years ago
The length and width or a rectangular courtyard is 40 feet and 30 feet, respectively. In order to make the courtyard larger, an
SpyIntel [72]

Answer:

The new area is 1800feet^2

Step-by-step explanation:

Step one:

Given data

The length and width or a rectangular courtyard is 40 feet and 30 feet

we can calculate the area of the courtyard as

Area= 40*30

Area= 1200 feet^2

when the extra 15 feet is added to the width

the new width is= 30+15= 45feet

The new area is

Area= 40*45

Area= 1800 feet^2

in all the area will increase by 1800-1200= 600feet

5 0
3 years ago
Calculate how much each size per gram, and circle which gives the best value for money. 250g for $2.30, 400g for &3.40, 1Kg
Bezzdna [24]
To do this, we must set up ratios:
Option One:
\frac{2.30}{250g}  \\  \frac{0.0092}{1g}  \\ 0.0092/g
The first options costs only $0.0092/gram (a fraction of a penny)!
Option Two:
\frac{3.40}{400g}  \\  \frac{0.0085}{1g} \\ 0.0085/g
The second option costs only $0.0085/gram (cheaper than option one)!
Option Three: 
This requires a little more work. First, we have to convert the grams into kilograms. For every 1 kg, there is 1,000 g. Therefore, 1,000g costs $5.65. Next, we set up the ratio as usual:
\frac{5.65}{1000g} \\  \frac{0.00565}{1g}  \\ 0.00565/g
The third option costs $0.00565/gram.

Therefore, option three is the cheapest! 

Hope this helps!
4 0
3 years ago
What is the solution to the system of equations? -2x + y = -5 3x – 2y = 12 A) (3, 1) B) (6, 3) C) (-2, -9) D) (-2, -1)
max2010maxim [7]

Answer:

The correct answer is D) (-2, -1)

Step-by-step explanation:

In order to solve this system of equations, start by multiplying the entire first equation by 2. Then add the two equations together. This will get the y's to cancel and allow you to solve for x.

-4x + 2y = -10

3x - 2y = 12

---------------------

-x = 2

x = -2

Now that we have the value for x, we can find y by plugging the x value into either equation.

-2x + y = -5

-2(2) + y = -5

-4 + y = -5

y = -1

6 0
2 years ago
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