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alexandr1967 [171]
3 years ago
14

Amy and Alex are making models for their science project. Both the models are in the shape of a square pyramid. The

Mathematics
2 answers:
Varvara68 [4.7K]3 years ago
6 0

Answer:

128/3 cubic inches

Step-by-step explanation:

The formula for pyramid volume is (1/3)lwh. Using this we can calculate that the volume of each shape is 320/3 cubic inches and 192/3 inches. When these are subtracted, it reads 128/3 cubic inches.

Ksivusya [100]3 years ago
5 0

Answer:

The answer is 42.67 cubic inches.

Step-by-step explanation:

Both the models are in the shape of a square pyramid.

The length of the sides of the base for both the models is 8 inches.

Amy’s model is 5 inches tall and Alex’s model is 3 inches tall.

The volume is given by :

a^{2}\frac{h}{3}

So, Amy's figure volume is :

8^{2}\times \frac{5}{3} = 106.67 cubic inches

And Alex's figure volume is:

8^{2}\times \frac{3}{3} = 64 cubic inches

So, the difference between volumes is = 106.66-64=42.67 cubic inches.

The answer is 42.67 cubic inches.

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8 0
1 year ago
It took Fred 17 days to save $36.55. At that rate, how long would it take him to save $70.95?
Vlad1618 [11]

Answer:

Fred would take 33 days to save $ 70.95.

Step-by-step explanation:

The number of days (t) is directly proportional to the quantity of money saved (c), in monetary units, then we can calculate the time taken to save $ 70.95 by simple rule of three:

t = 17\,d\,\times \frac{\$\,70.95}{\$\,36.55}

t = 33\,d

Fred would take 33 days to save $ 70.95.

4 0
3 years ago
What is the solution to the equation 6y –2(y + 1) = 3(y – 2) + 6?
AleksAgata [21]

Answer: y=2

Step-by-step explanation:

Distribute the numbers -2 and 3...

6y-2y-2=3y-6+6

The -6 and 6 cancel each other out...

6y-2y-2=3y

Combine like terms....

4y-2=3y

Move 4y over....

-2=-y

Multiply both sides by -1.....

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That’s your solution! Hope this helps!

8 0
3 years ago
Help me please I do not understand it.
fiasKO [112]
6x - 11 + 15x + 2 = 180

21x - 9 = 180

21x = 189

x = 9

—

D = 15(9) + 2

D = 135 + 2

D = 137
4 0
3 years ago
I NEED HELP...finding the slope-intercept form equation
Simora [160]

Answer: y=-13/12x-7

Step-by-step explanation:

To find the slope-intercept form, we first need to find the slope. To find the slope, you use the formula m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }. We use the two given points to find the slope.

m=\frac{32-6}{-36-(-12)} =\frac{26}{-24} =-\frac{13}{12}

Now that we have our slope, we can start filling out the slope-intercept form equation.

y=mx+b

y=-13/12x+b

Since we don't know the y-intercept, we can use one of the given points and solve for b.

6=(-13/12)(-12)+b                              [multiply (-13/12) and -12]

6=13+b                                              [subtract both sides by 13]

b=-7

With the y-intercept, we can complete our equation.

y=-13/12x-7

4 0
3 years ago
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