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3 years ago

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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A 20-pack of Dr. Pepper cost $5.50 and a 6-pack cost $1.50. Which is the better deal?

Irina-Kira [14]

Answer:

Step-by-step explanation:

20-pack of Dr. Pepper cost $5.50 . As per this deal

Cost of one pack = 5.5/20 = $ 0.275

a 6-pack cost $1.50.As per this deal

Cost of one pack = 1.50/6 = $ 0.25

A 6-pack cost $1.50 is the better deal.

5 0

3 years ago

A summer camp has 32 campers. 22 of them swim, 20 play softball, and 5 do not play softball or swim. which values correctly comp

Lapatulllka [165]

The values which completes the table regarding summer camp is option b which is a=15,b=7, c=5, d=10, e=12.

Given that there are 32 campers, 22 of them can swim, 20 play softball and 5 do not play softball or swim.

We have to find the values of a,b,c,d,e so that we can complete the table.

Table is a combination of rows and columns. In our case the third row and third column shows the total.

from the table we can write that 22+d=32-----------1

so d=32-22

=10

d=10

c+5=d-----------2

c=10-5=5

c=5

a+c=20------------------3

a+5=20

a=20-5

a=15

a+b=22--------------3

15+b=22

b=7

20+e=32----------4

e=32-22

e=10.

Hence the values which completes the table is a=15,b=7, c=5, d=10, e=12.

Learn more about table at brainly.com/question/12151322

#SPJ4

Question is incomplete as it should include figure showing table of values.

6 0

2 years ago

Find the mean, median, and mode of the data set. Round to the nearest tenth. 15, 13, 9, 9, 7, 1, 11, 10, 13, 1, 13 mean = 8.5, m

jasenka [17]

Answer:

Mean = 9.3

Median = 10

Mode = 13

Step-by-step explanation:

To get the mean, you would have to add up all of the numbers (102), then divide how many numbers you have with the numbers added up (9.3). To get the median, you would have to put all of the numbers that you have, in order, from least to greatest and cross off each number, one from each side before getting to the number in the middle (unless if you have an even number; works better with odd numbers, which is easier). To get the mode, you would need to find out which number appears the most, and, if there is more than one, you can put the numbers down. Hope this helps.

3 0

3 years ago

Read 2 more answers

Given g(x) = 10x + 2, find x when g(x) = 2.

Elan Coil [88]

Answer:

x=0

Step-by-step explanation:

We are given:

g(x) =10x +2

and

g(x)=2

g(x) is equal to both 10x+2 and 2. Therefore, by substitution, we can set them equal to each other

10x+2=2

Now, we need to solve for x. First, move all the numbers to the same side. Subtract 2 from both sides

10x+2-2=2-2

10x=0

To solve for x, we have to get x by itself. x and 10 are being multiplied. To get x alone, divide both sides by 10.

10x/10=0/10

x=0

8 0

3 years ago

HELP ME PLEEEEEEAAAASEEEE!

Archy [21]

Answer:

$2\frac{1}{2}\ liters$

Step-by-step explanation:

step 1

Convert mixed number to an improper fraction

$1\frac{1}{5}=\frac{1*5+1}{5}=\frac{6}{5}$

step 2

Using proportion

$\frac{3}{(6/5)}\frac{liters}{doors} =\frac{x}{1}\frac{liters}{door}\\ \\x=3/(6/5)\\ \\x=15/6\ liters$

step 3

Convert to mixed number

$\frac{15}{6}\ liters=\frac{12}{6}+\frac{3}{6}=2\frac{1}{2}\ liters$

8 0

3 years ago