MATHEMATICS HIGH SCHOOL

Each week, you drive 150 miles. Your car gets 25 miles to the gallon, and gas prices are $3 per gallon. How much gas money will you spend on gas each week?

Answers

Answer 1

Answer:

$18

Further explanation

Given:

Every week drive 150 miles.
The car gets 25 miles to the gallon.
Gas prices are $3 per gallon.

Question:

How much gas money will you spend on gas each week?

This is properly a simple multiplication problem that however has to pay attention to the units carefully.

Let's find out how many gallons we need to drive over 150 miles.

$\boxed{ \ = 150 \ miles * (1 \ gallon)/(25 \ miles) \ }$

Units of miles crossed out.

$\boxed{ \ = 150 * (1 \ gallon)/(25) \ }$

$\boxed{ \ = (150)/(25) \ gallon \ }$

Therefore, we need 6 gallons to drive over 150 miles.

And now let's calculate how much gas money will be spent each week.

$\boxed{ \ = 6 \ gallons * (\$ 3)/(1 \ gallon) \ }$

Units of gallon crossed out.

$\boxed{ \ = 6 * \$ 3 \ }$

$\boxed{ \ = $ 18 \ }$

Hence, we will spend $18 on gas each week.

If it's already straightforward in understanding, then we can arrange multiplication operations at once.

$\boxed{ \ = 150 \ miles * (1 \ gallon)/(25 \ miles) * (\$3)/(1 \ gallon) \ }$

$\boxed{ \ = (150)/(25) * \$3 \ }$

150 and 25 can be divided by 25.

$\boxed{ \ = 6 * \$3 \ }$

Once again, we will spend $18 on gas each week.

Learn more

A similar problem and associated with currency exchange rates brainly.com/question/3959122
About unit conversion factor brainly.com/question/5009365
About the simplification of polynomial operations brainly.com/question/1394854

Keywords: each week, you drive 150 miles, car, 25 miles to the gallon, gas prices are $3, per gallon, how much, money will you spend, multiplication, the units

Answer 2

Answer:

The amount of money spent on gas each week is $\fbox{\begin\n\ \bf \$18\n\end{minispace}}$

Further explanation:

As given in the question $150$ miles of distance is covered by the car each week.

To cover a distance of $25$ miles, $1$ gallon of gas is required for the car and the price for the gas is $\$3$ per gallon.

The objective is to determine the amount of money spent on gas each week.

It is given that to travel $25$ miles, $1$ gallon of gas is required so, for $1$ mile of distance $\left((1)/(25)\right)^(th)$ gallon of gas is required.

This implies that in $\left((1)/(25)\right)^(th)$ gallon of gas the car runs for $1$ mile of distance.

Now if in $\left((1)/(25)\right)^(th)$ gallon of gas $1$ mile of distance is covered so, for $150$ miles of distance the amount of fuel required is calculated as follows:

$\fbox{\begin\n\ (1)/(25)* 150=6\n\end{minispace}}$

From the above calculation it is concluded that with $6]$ gallon of gas $150$ miles of distance is covered.

The price for the gas is $3 per gallon so, the price of 6 gallon of gas is calculated as follows:

$\fbox{\begin\n\ 6* 3=18\n\end{minispace}}$

From the above calculation it is concluded that the cost of $6$ gallon of gas is $\$18$ .

Therefore, the amount of money spent on the gas each week is $\fbox{\begin\n\ \bf \$18\n\end{minispace}}$ .

Summary:

$25\ \text{miles}\rightarrow1\ \text{gallon}\n1\ \text{mile}\rightarrow((1)/(25))^(th)\ \text{gallon}\n150\ \text{miles}\rightarrow((1)/(25)* 150)=6\ \text{gallons}\n1\ \text{gallon}\rightarrow\$3\n6\ \text{gallons}\rightarrow\fbox{\begin\n\ \bf \$18\n\end{minispace}}$

Learn more:

1. A problem on composite function brainly.com/question/2723982

2. A problem to find radius and center of circle brainly.com/question/9510228

3. A problem to determine intercepts of a line brainly.com/question/1332667

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Simplification

Keywords: Simplification, multiplication, miles, distance, price, gas, $3, each week, drives 150 miles, money spent each week, 25 miles per gallon.

Related Questions

Multiply and simplify: −3/2 ⋅ 5
6,632,512 what is the value o 3
Janene is solving the equation log3x324=2. Which exponential equation can she use to solve the problem?A. 324^2=3x B. 334^x=2/3 C. (3x)^2=324 D. 3x^2=324
The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume 360 days in a year and round answers to the nearest cent.P=$180, r=3%, t= 2 years
Can someone put this equation in standard form for me? y-3=1/5(x-3)Standard form : Ax+By=C

jake got 85% of his answers correct on the math test. if there were 20 questions on the test how many did jake get correct?

Answers

20*.85=17 so he got 17 right

OlympiDuring the 1996 Summer Olympics in Atlanta, Georgia
the American athlete Michael Johnson set an
and world record in the men's 200-meter run. He finishe
the race in 19.32 seconds, breaking the previous Olympi
record of 19.75 seconds. By how much did Micha
Johnson break the previous Olympic record?

Answers

Answer: he broke the record by 0.43 seconds

How do you combine like terms of #-10+7x+24-2x#?

Answers

You should first add -10 and 24. Then you should subtract 7x and 2x. All you have to do is to find the like terms ( 7x and 2x because they both have x’s, and -10 and 24 because they don’t have x’s). So your answer would be 14+5x. If you have any questions please reply.

Factor the trinomial below 12x^2-11x-36

Answers

The factors of the trinomial are $(4x-9)(3x+4)$ .

What is a trinomial?

A trinomial is an algebraic expression that has three non-zero terms. If three monomials are separated by addition or subtraction, then it is a trinomial.

For the given situation,

The trinomial is 12x^2-11x-36.

The given trinomial is a quadratic equation.

The quadratic equation can be factored as

⇒ $12x^2-11x-36$

⇒ $12x^2-27x+16x-36$

⇒ $3x(4x-9)+4(4x-9)$

⇒ $(4x-9)(3x+4)$

Hence we can conclude that the factors of the trinomial are $(4x-9)(3x+4)$ .

Learn more about factor the trinomial here

brainly.com/question/15611437

#SPJ2

Step-by-step explanation:

12x2 - 11x - 36

12x2 - 27x + 16x - 36

3x (4x - 9) + 4(4x - 9)

(4x - 9) and (3x + 4) are the factors

Use substitution to solve the sytem: 5x-3y=-20 and x=3y-16

Answers

$5x - 3y = -20$
$x = 3y - 16$

Plug in 'x' into the first equation:

$5 (3y - 16) - 3y = 20$
$15y - 80 - 3y = -20$
$12y = 60$
$y = 5$

Plug in 'y' into the second equation to get 'x':

$x = 3y - 16$
$x = 3(5) - 16$
To get $x = -1$

$y = 5$
$x = -1$

5(3y-16)-3y = -20
15y-80-3y = -20
12y = 60
y = 5

Help me please! I don't know where to start!

Answers

week 4 = 8miles
week 16 = 26 miles
constant increase
16 - 4 = 12 weeks
26 - 8 = 18 miles
so...
in 12 weeks she increased 18 miles
12x=18
x= 18/12
x=1.5 per week

Other Questions

Please help me!! f(x)= A.) Evaluate f(0)Thanks fam

Jamie goes on holiday to Florida.The exchange rate is £1 = 1.70 dollars. He changes £900 into dollars. (a) How many dollars should he get?

Use the difference of cubes for 27x^(3)-1

Given the function(x)=5x+4, find its inverse