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KiRa [710]
3 years ago
8

Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use

decimals instead of fractions. Waylan has two cardboard boxes that are rectangular prisms. Each cardboard box has the same height, h, but the square bases of each cardboard box have different side measurements, w. He wants to find the amount of space, S, inside each box. Considering that each box has a square base, he decides to use the formula below for his calculation. The square base on Box A has a side measurement of 2 feet, and the square base on Box B has a side measurement of 0.75 of a foot. Each box has a height of 4 feet. Box A contains cubic feet of space, and Box B contains cubic feet of space. Box A contains cubic feet more space than Box B. NextReset
Mathematics
2 answers:
Firlakuza [10]3 years ago
8 0
Given:
2 rectangular prism.
same height
square bases


                                    Box A     Box B
Square Base side          2 ft        0.75 ft
Height                            4 ft        4 ft

Solving for the space inside each rectangular prism, we need to find its volume.

Volume of a rectangular prism = length * width * height

Box A: 
Volume = 2 ft * 2 ft * 4 ft = 16 cubic feet

Box B:
Volume = 0.75 ft * 0.75 ft * 4 ft = 2.25 cubic feet

Box A - Box B = difference in space

16 cubic feet - 2.25 cubic feet = 13.75 cubic feet

Box A contains 13.75 cubic feet more space than Box B. 
shepuryov [24]3 years ago
7 0

Answer:

box b is smaller because, box a has 16 cubic feet but box b has 2.25 cubic feet

Step-by-step explanation:

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Dave sold 60 general and reserved tickets for a concert. He sold general tickets for $10 each and reserved tickets for $15 each
swat32

Answer:

The system is of equations is:

\left\{        \begin{array}{ll}            10g+15r=725 & \quad  \\            g+r=60 & \quad         \end{array}    \right.

Where g is the amount of general tickets and r is the amount of reserve tickets.

35 general tickets and 25 reserve tickets were sold.

Step-by-step explanation:

Let general tickets be represented by g and reserved tickets be represented by r.

Each general ticket sells for $10 each and reserved tickets $15 each. Dave collected a total of $725. Thus:

10g+15r=725

And a total of 60 tickets were sold. Hence:

g+r=60

Our system of equations is:

\left\{        \begin{array}{ll}            10g+15r=725 & \quad  \\            g+r=60 & \quad         \end{array}    \right.

We can solve by substitution. First, divide both sides of the first equation by 5:

2g+3r=145

Next, we can subtract a variable (r in this case) from the second equation:

g=60-r

Substitute:

2(60-r)+3r=145

Distribute:

120-2r+3r=145

Simplify:

120+r=145

Subtract:

r=25

Using the previous equation:

g=60-r

Substitute and evaluate:

g=60-(25)=35

So, 35 general tickets and 25 reserve tickets were sold.

4 0
3 years ago
Which property of addition is shown? (3 + 9) + 8 = 3 + (9 + 8)
Illusion [34]

Answer:

Associative Property of Addition

Step-by-step explanation:

Looking at the expression, you can see that the numbers have been grouped differently. Based on the Associative Property of Addition, the sum of the numbers is the same despite the different pairing.

6 0
3 years ago
If a sequence contains only whole numbers, which of these sequences could include the term 27?
erik [133]
Depending on the first term, the sequences
a_n=2a_{n-1}+1
\\
\\a_n=3a_{n-1}
\\
\\a_n=a_{n-1}+6
would work.

If the sequence began at 6, 
a_n=2a_{n-1}+1=6, 13, 27, ...

If the sequence began at 1, 
a_n=3a_{n-1}=1, 3, 9, 27, ...

If the sequence began at 3, 
a_n=a_{n-1}+6=3, 9, 15, 21, 27, ...
3 0
3 years ago
Read 2 more answers
CAN SOMONE ANSWER THIS
laiz [17]

Your answer is 8,000 minus 6 & 4

Step-by-step explanation:

3 0
3 years ago
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Interoperate your solution in the context of the problem.<br> f(10)=1.75r+9
iVinArrow [24]

Answer:

Simplifying

f(r) = 5 + 1.75r

Multiply f * r

fr = 5 + 1.75r

Solving

fr = 5 + 1.75r

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by 'r'.

f = 5r-1 + 1.75

Simplifying

f = 5r-1 + 1.75

Reorder the terms:

f = 1.75 + 5r-1

Step-by-step explanation:

tada i think

6 0
3 years ago
Read 2 more answers
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