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3 years ago

The Jones drove 108 miles on 4 gallons of gas to the amusement park. At this rate how many

Mathematics

1 answer:

Tatiana [17]3 years ago

8 0

Answer:

162 miles

Step-by-step explanation:

108m / 4g = 27m/g

27m = 1 g

27m x 6g = 162

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What is (x - 4y) (-3x - 2y) = ?

Artemon [7]

The answer is -3x^2+10xy+8y^2

3 0

3 years ago

Kylie borrowed a book from the library the library charge to fix rental for the book in late fee for every day the book was over

irinina [24]

Answer:

B. The fixed rental for the book

Step-by-step explanation:

Kylie borrowed a book from a library. The library charged a fixed rental for the book and a late fee for every day the book was overdue. The expression below shows the charges Kylie paid for the book when she returned it x days after the due date:

2 + 0.25x

What does the constant term of the expression represent? (1 point)

A. The late fee for the book

B. The fixed rental for the book

C. The number of books borrowed

D. The number of days the book was overdue

Solution

Given expression

2 + 0.25x

The constant term is 2 which represent the fixed rental fee for the book

The term 0.25x represent the amount charged for late fee for x days

$0.25 is charge per day after due date

x = number of due date

6 0

3 years ago

Please help meeee <br><br> Lines A and B are parallel lines. Find the measures of angles 1,2, and 3.

Simora [160]

Answer:

<1=33, <2=90, <3=57

Step-by-step explanation:

Lines A and B are parallel lines. Find the measures of angles 1,2, and 3.

5 0

3 years ago

Jay wants to make a box, with no lid (or top), out of a 10" x 6" rectangular piece of cardboard. If Jay cuts squares with dimens

LiRa [457]

Answer:

a. $V(x)=x(10-2x)(6-2x)$

b. $S(x)=4(15-x^2)$

Step-by-step explanation:

Dimensions of rectangular piece of cardboard= $10\times 6$

According to question

Length of box,l=10-2x

Breadth of box,b=6-2x

Height of box,h=x

Volume of box= $l\times b\times h$

Substitute the values in the formula

Volume of box= $x(10-2x)(6-2x)$

$V(x)=x(10-2x)(6-2x)$

b.Surface area of box= $2(b+l)h+lb$

Because the box has no lid

Substitute the values in the formula

Surface area of box= $2(10-2x+6-2x)x+(10-2x)(6-2x)$

Surface area of box= $2(16-4x)x+60-20x-12x+4x^2$

Surface area of box= $32x-8x^2+60-32x+4x^2$

Surface area of box= $60-4x^2=4(15-x^2)$

Surface area of box, S(x)= $4(15-x^2)$

4 0

3 years ago

A gas pump fills 2^-2 gallon of gasoline per second. how many gallons does the pump fill in one minute?

astraxan [27]

Answer:

The gas pump filling the gallons in 1 minute will be: 15

Step-by-step explanation:

Given that a gas pump fills 2^-2 gallon of gasoline per second.

As there are 60 seconds in 1 minute.

Thus,

Gas pump filling the gallons in 1 minute will be:

$60\:\times 2^{-2}$

$=60\times \frac{1}{2^2}$ ∵ $a^{-b}=\frac{1}{a^b}$

$\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}$

$=\frac{1\times \:60}{2^2}$

$=\frac{60}{2^2}$

$=\frac{2^2\times \:3\times \:5}{2^2}$

$=3\times \:5$

$=15$ gallons in one minute

Therefore, the gas pump filling the gallons in 1 minute will be: 15

6 0

3 years ago