Which relation is a function?

A pack of folders has a length of 5 inches, a width of 12 inches, and a height of 1 inch. The pack of folders will be shipped in

777dan777 [17]

Answer:

A) Each pack of folders has a volume of 60 cubic inches.

B) The box has a volume of about 720 cubic inches

D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.

Step-by-step explanation:

Verify each statement

A) Each pack of folders has a volume of 60 cubic inches.

The statement is True

Because

The volume of each pack of folders is equal to

$V=(5)(12)(1)=60\ in^{3}$

B) The box has a volume of about 720 cubic inches

The statement is True

Because

The volume of the box is equal to the volume of one pack of folders multiplied by 12

so

$V=(12)60=720\ in^{3}$

C) If the box held 15 packs of folders, it would have a volume of about 1,200 cubic inches

The statement is False

Because

Applying proportion

$\frac{12}{720}\frac{packs}{in^{3}}=\frac{15}{x}\frac{packs}{in^{3}}\\ \\x=720*15/12\\ \\x=900\ in^{3}$

$900\ in^{3}\neq 1,200\ in^{3}$

D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.

The statement is True

Because

Applying proportion

$\frac{12}{720}\frac{packs}{in^{3}}=\frac{20}{x}\frac{packs}{in^{3}}\\ \\x=720*20/12\\ \\x=1,200\ in^{3}$

$1,200\ in^{3}= 1,200\ in^{3}$

E) Each pack of folders has a volume of 24 cubic inches.

The statement is False

Because

The volume of each pack of folders is equal to

$V=(5)(12)(1)=60\ in^{3}$

7 0

3 years ago

Find the product. (1.8 x 10^5)(3.1 x 10^2)

Stells [14]

Answer:

5.58*10^7

Step-by-step explanation:

Recall that 10^a*10^b = 10^(a+b). Thus, 10^5*10^2 = 10^7.

Thus, (1.8 x 10^5)(3.1 x 10^2) = (1.8)(3.1)*10^7 = 5.58*10^7

7 0

3 years ago

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A kayaker travels x miles per hour downstream for 4 hours. On the 6-hour return trip, the kayaker travels 2 mile per hour slower

Stolb23 [73]

time * rate = distance

Downstream 4 * x = 4(x)

Upstream 6 * x - 2 = 6(x - 2)

distance downstream = distance upstream:

4(x) = 6(x - 2)

4x = 6x - 12

-2x = -12

x = 6

Distance Upstream: 4x = 4(6) = 24

Distance Upstream: 6(x - 2) = 6(6 - 2) = 6(4) = 24

Total distance traveled is Upstream + Downstream = 24 + 24 = 48

Answer: 48 miles

5 0

3 years ago

Roger has $2, $1 and 50 cent pieces in the ratio of 5:4:2. If 30 of roger’s coins are 50 cent pieces, how many $2 coins and $1 c

rosijanka [135]

Answer:

Step-by-step explanation:

So the ratio is 5:4:2

there are 11 parts to this ratio (5+4+2)

the 5 is for the $2, the 4 is for the $1 and the 2 is for the 50 cents

he has 30 of the 50 cents

so you divide 30 by 2 to get one part of this ratio

1 part of this ratio is equal to 15 coins

multiply 15 by 5 to get the number of $2 coins: 75

multiply 15 by 4 to get the number of $1 coins: 60

add all of those parts together

30+60+75 = 165

If he uses a $1 coin to buy the sundae he will have 75 $2 coins and 59 $1 coins left

however, if he uses two 50 cents coins to buy the sundae he will have 75 $2 coins and 60 $1 coins left

4 0

3 years ago

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Which of the statements about the following quadratic equation is true?

Sedaia [141]

After manipulating above equation we get, 2x^2 - 7x - 8= 0. Discriminant= b^2 - 4ac = (-7)^2 - 4(2)(-8) = 113>0. So there are 2 real roots :)

3 0

4 years ago

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