Ask question

Ask question

All categories

3 years ago

13

a family went on vacation and used 5.4 gallons of gasoline to travel 150 miles how many total gallons of gassoline will they nee

d to travel 200 more miles

2 answers:

Vinil7 [7]3 years ago

8 0

150 / 5.4 = 27.7777 miles per gallon

200 / 27.7777 = 7.2 gallons

Elina [12.6K]3 years ago

8 0

Their consumption is 150 / 5.4 = 27.78 m p g
to travel 200 miles more they will need another 200/27.78 = 7.2 gallons

You might be interested in

What is the inequality represented by this graph? (pls help its worth 30 points and ill give brainliest if ur correct :D)

Yakvenalex [24]

Step-by-step explanation:

We find the equation of the solid blue line:

The line decreases by 1 unit for every 3 units across.

=> Slope of line = -1/3.

Also the y-intercept is 1.

=> Line equation: y = -1/3 x + 1.

We see that the graph below this line is shaded.

Therefore all y-values below or on the line are represented by the graph.

=> y <= -1/3 x + 1.

The answer is y <= -1/3 x + 1.

4 0

2 years ago

What is the slope of a line perpendicular to the line whose equation is -2x+20y=6

QveST [7]

Answer:

-10

Step-by-step explanation:

Solving for y gives ...

20y = 2x +6

y = 2/20x +6/20 = 1/10x +3/10

The slope of the given line is the coefficient of x: 1/10. The slope of the perpendicular line is the opposite reciprocal of this: -1/(1/10) = -10.

The perpendicular line has a slope of -10.

8 0

2 years ago

Based on your knowledge of taxes, you estimate that your net pay will be 66% of your gross pay. You think you will need $250 per

Sholpan [36]

The gross pay per year is $\fbox{\bf\$19697.6}$ .

Further explanation:

Given:

The net pay is 66% of the gross pay. The net pay per week is $250.

Calculation:

Consider the gross pay as $x$ and net pay as $y$ .

Since the net pay $y$ is 66% of the gross pay $x$ , it can be written as follows:

$\begin{aligned}\frac{{x\times66}}{{100}}&=y\\x&=\frac{{y\times 100}}{{66}}\\x&=1.5151y\\\end{aligned}$

The net pay per week is given as $250.

Substitute 250 for $y$ in above equation.

$\begin{aligned}x&=1.5151\left( {250}\right)\\&= 378.8\,\,{\text{dollar}}\,\,{\text{per}}\,{\text{week}}\\\end{aligned}$

Since, there exist 52 weeks in a year, the gross pay per year is calculated as follows:

$\begin{aligned}x &= 378.8\left({52} \right)\\&= 19697.6\,\,{\text{dollar}}\,\,{\text{per}}\,{\text{year}}\\\end{aligned}$

Thus, the gross pay per year is $19697.6.

Learn more:

1. Interest rates are expressed as a percentage ofhttps://brainly.com/question/3724002

2. Suppose that this individual now decides to give one-eighth of a percent (0.125 %) of her new net worth to charity. how many dollars are given to charity?brainly.com/question/928382

Answer Details:

Grade: Middle School

Subject: Mathematics

Chapter: Interest

Keywords: Gross pay, net pay, rate, accounts, simple interest, compound interest, percent, dollar, tax, interest rate, net worth, annually, weekly, weeks, $250, total income, charity, compounded.

4 0

3 years ago

so we have a small issue. I dont know how to figure this out and I dont know what equivalent means :/ so if you can help me that

Mars2501 [29]

Equivalent means "equal to"

Because we are looking for an equation that is not equivalent to 3y + x = 18, we need to find one that is not equal to 3y + x = 18.

First, lets try y = 6 - 1/3x

3y + x = 18

Divide the whole of both sides by 3

y + 1/3x = 6

Then, subtract 1/3x from each side

y = 6 - 1/3x

So, y = 6 - 1/3x IS equivalent to 3y + x = 18, so it is not the answer.

Next, lets try y - 5 = -1/3 (x - 3)

First, we need to distribute the -1/3 in the right side.

y - 5 = -1/3x + 1

Add 5 to each side

y = -1/3x + 6

Add 1/3x to each side

y + 1/3x = 6

So, y + 1/3x = 6 is NOT equivalent to 3y + x = 18, so it IS an answer.

Lets try the third one: y - 5 = 1/3(x + 3)

We need to use distributive property again on the right side

y - 5 = 1/3x + 1

Add 5 to each side

y = 1/3x + 6 is not equivalent to 3y + x = 18 so it IS and answer

Lets test the last one: 6y + 2x = 36

Divide the whole of each side by 2

3y + x = 18 IS equivalent to 3y + x = 18 so it is NOT an answer

4 0

2 years ago

Which expressions are equivalent to 6^16? Check all that apply.

gayaneshka [121]

Answer: (6^-4)^-4 , (6^-2)^-8, (6^8)^2

Step-by-step explanation:

When there is a number with an exponent in a parenthesis raised to another exponent, you multiply the two exponents together. So, in this case we are looking for 2 exponents that give us a product of 16.

4 0

2 years ago