Alvin’s family used 18.5 gallons of gas to drive 518 miles. How many miles did they drive per gallon of gas?

Please help me

Answers

Answer 1

Answer:

the answer is 1.2

Step-by-step explanation:

Answer 2

The number of miles Alvin’s family drive per gallon of gas is 28 miles.

Given that, Alvin’s family used 18.5 gallons of gas to drive 518 miles.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Number of miles drive per gallon of gas = Total number of miles ÷ Total number of gallons

= 518 ÷ 18.5

= 28 miles

Hence, the number of miles Alvin’s family drive per gallon of gas is 28 miles.

To learn more about the unitary method visit:

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Related Questions

Decide whether the two inequalities are equivalent. Explain.
b- 12 24: bs 16
O A Yes; if you solve the first inequality for b, you will get the second inequality.
o
B. No; if you graph both inequalities on the same number line, you will cover all real numbers.
O C. No; if you solve the first inequality for b, you will end up with an inequality with a different relation symbol than the second inequality
OD. No, if you graph both inequalities on the same graph, you will get b = 16.

Answers

Answer:

D,no if you graph both inequalitiesvon thevsame geaph ,you will get b =16

The ratio of 70 minutes to 2 hours is

Answers

Hey there!

70 minutes

= 1 hour 10 minutes

2 hours

= 60 minutes * 2 minutes

= 60 minutes + 60 minutes

= 120 minutes

70/120

= 70 ÷ 10 / 120 ÷ 10

= 7 / 12

Therefore, your answer is: 7:12 OR 7/12

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Divide 2/3 by 1/5. Simplify your answer and write it as a mixed number.

Answers

Answer:

3.33

Step-by-step explanation:

3.33

mixed number= 3 1/3

Answer:

3 1/3

Step-by-step explanation:

[tex]\frac{\frac{2}{3}}{\frac{1}{5}}[/tex] =

[tex]\frac{2}{3} * \frac{5}{1} = \frac{10}{3}[/tex]

10/3 = 3 1/3

-Chetan K

solve pls brainliest

Answers

Answer:

40

Step-by-step explanation:

LCD = 40
9/8 and 1/10 = 45/40 and 4/40

Can someone help me please

Answers

Answer:

sorry i can answer that the asy

Answer:

Q1 - 10080

(sorry couldn't do q2 haha)

step by step;

Find the gradient of the line segment between the points (4,-6) and (-6,-16).

Answers

Answer:

1

Step-by-step explanation:

gradient M= change in Y / change in X

= (-16--6)/(-6-4)

= -10/-10

M therefore= 1

A store pays $65 for a robot and marks the price up by 20%. What is the amount of the
mark-up?

Answers

65 x .20 = $13 $13 is the markup and if added to the initial amount it would be $78 altogether
The answer is 13$ to that

please answer fully ?/'//////////////////////

Answers

Answer:

17.5

Step-by-step explanation:

i solved it and got that answer. hope this helps =)

Amanda's family is taking a road trip. Their car can travel no more than 352 miles without needing to refill the gas tank. They have
traveled 108 miles since they last filled the gas tank.
Amanda knows that the inequality representing this situation is 108 + x < 352.
Select from the drop-down menu to correctly interpret the solution of this inequality.

Answers

Amanda family cannot travel more than 244 miles without needing to refill the gas tank.

Inequality is the non equal comparison of numbers or variables.

Let x represent the number of miles that they can travel before filling their gas tank.

Their car can travel no more than 352 miles without filling their tank. Also, they have traveled 108 miles since they last filled the gas tank. Hence:

x + 108 < 352

x < 244

This means that Amanda family cannot travel more than 244 miles without needing to refill the gas tank.

Find out more at: https://brainly.com/question/25285332

Simplify.

5x+3(x+2)+3

A. 8x + 9
B. 5x + 8
C. 8x + 5
D. 6x + 8

Answers

Answer:

A- 8x+9

Step-by-step explanation:

Answer: A) 8x + 9

------------------------------------------

5x + 3 (x + 2) + 3

5x + 3x + 6 + 3

8x + 6 + 3

8x + 9

<3

If a slingshot is used to shoot a marble straight up into the air from 2 meters above the
ground with an initial velocity of 30 meters per second, for what values of time t will the
marble be over 35 meters above the ground? (Refer to Exercise 25 in Section 2.3 for assistance
if needed.) Round your answers to two decimal places

Answers

Answer:

use this equation: GPE=mgh

Step-by-step explanation:

GPE = gravitational potential energy = J

m = mass = Kg

g = gravitational field = N/kg = world's gravitational field is 9.8N/kg

h = height = m

A shipment of 8 computers contains 3 with defects. Find the probability that a sample of size 2, drawn from the 8, will not contain a defective computer.
What is the probability that a sample of 2 of the 8 computers will not contain a defective computer?
(Type an integer or a simplified fraction.)

Answers

Answer:

5/28

Step-by-step explanation:

First of all, probability is defined as the number of ways a certain event can happen divided by the total ways of an event happening. In this scenario, we are asked to find the number of non-defective computers divided by the total ways that a sample of two can be chosen.

The number of ways to choose 2 computers from 8 can be written as [tex]8\choose2[/tex], which is equal to [tex]\frac{8\cdot7}{2}[/tex], which is 28. Now, there are 3 defective computers, for a total of 5 non-defective computers, so the probability is 5/28.

What is the value of v?

Answers

By isosceles triangle theorem,

Angle ZXY = Angle ZYX

The sum of the angles in a triangle is 180 degrees.

106 + 2 same angles (-106) = 180 (-106)  (Subtract 106 by both sides)

2 same angles (/ 2) = 74 (/ 2)   (Divide 2 by both sides)

V = 37

Answer:

The value of v is 37°.

Step-by-step explanation:

Given that △ XYZ is an isosceles triangle where both sides have the equal angles. The total angle of △ is 180°. Let ∠ZXY and ∠ZYX be the same angles:

Let ∠ZXY = v, ∠ZYX = v, ∠ XZY = 106°,

∠ZXY + ∠ZYX + ∠XZY = 180°

v + v + 106° = 180°

2v + 106° = 180°

2v = 180° - 106°

2v = 74°

v = 74 ÷ 2

v = 37°

A new cell phone costs $108.99 in the store. What would your total cost be if the sales tax is 4.5%? Round your answer to the nearest cent, if necessary.

Answers

Answer: $113.89

Step-by-step explanation:

108.99 * 0.045

= 4.90455

108.99 + 4.90455

= 113.89455

$113.89

Answer:

Total Cost = $113.89

Step-by-step explanation:

Total Cost = Cell phone cost + sale Tax % ( cell phone cost)

Total Cost = $108. 99 + .045 × $108.99

Total Cost = $108.99 + $4.90455

Total Cost = $108.99 + $4.90

Total Cost = $113.89

Jacob saw a model of a building that will be built in his city. The model has a height of 40 centimeters and will be built to a scale of 1:50. What is the actual height of the building? (1 m = 100 cm)

Answers

Answer:

20 m

Step-by-step explanation:

1/50 = 40/x

Cross multiply.

1 × x = 50 × 40

x = 2000

2000 cm × (1 m)/(100 cm) = 20 m

Answer: 20 m


Find x

Will be marked brainliest

Answers

Answer:

x = -49

Step-by-step explanation:

The sum of the angles of a triangle is 180°. Set up the following equation and solve for x.

[tex]-x-5+37+99=180\\\\-x+131=180\\\\-x=49\\\\x=-49[/tex]

The _______ of an observation is determined by how far the values of the independent variables are from their means.

Answers

Answer:

The leverage of an observation is determined by how far the values of the independent variables are from their means.

Please take a look at the picture

Answers

Answer:

A and B

Step-by-step explanation:

They both have the same numbers and at least one of the given numbers is negative.

Hope this helps :)

12.) Samuel is 30.75 inches tall. His younger brother, Spencer, is 6 inches shorter. How tall is Spencer?​

Answers

Answer: Spencer is 24.75 inches tall

Step-by-step explanation: Just subtract 6 from 30.75 to find the answer

Answer:

The percentage increase in Spencer's height is 125%

Step-by-step explanation:

Solution:

Initial height of spencer = 28 inches  

Increased height of spencer = 5 feet 3 inches  

= 5 feet + 3 inches  

(5 feet = 5 ×12=60 inches)

= 60  + 3

please help.......,................​

Answers

Answer:

8×1=8+64=72

Step-by-step explanation:

there is your answer are you happy now

ill mark brainliest thanks​

Answers

Answer:

x=10

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

6x-7 = 26+2x+7

Combine like terms

6x-7 = 2x+33

Subtract 2x

6x-7-2x =2x+33-2x

4x-7 = 33

Add 7 to each isde

4x-7 +7 = 33+7

4x=40

Divide by 4

4x/4 = 40/4

x=10

which ordered pair would be plotted in quadrant 3

Answers

Answer:

(-5,-9)

Step-by-step explanation:

The monthly rent for an 800 square foot office is $975. For an 1100 square foot office, the rent is $1125. WRITE AND SOLVE A LINER EQUATION to find the monthly rent for a 1500 square foot office.

I need help and pls do it in The liner equation way which is also given two points.

Answers

Answer:

$1325

Step-by-step explanation:

Translate the given into two pairs of coordinates:

(800, 975) and (1100, 1125)

Work out the equation of the line passing through both of the points.

Find the slope:

m = (1125 - 975) / (1100 - 800) = 0.5

Find the y-intercept:

975 = 0.5*800 + b975 = 400 + bb = 975 - 400b = 575

The line is:

y = 0.5x + 575

Find the value of y when x = 1500:

y = 0.5*1500 + 575 = 1325


Melanie read 52 pages in 1 hours. If she continues reading at the same rate, how
many pages will she read in an hour?

Answers

If she read 52 pages in one hour, then she'll continue at a rate of 52 pages per hour.

Answer:

52 pages

Step-by-step explanation:

Since she reads 52 pages in 1 hour we multiply 52 by the amount of hours she reads.

52 pages times 1 hour equals 52 pages.

52 x 1 = 52

Given that m||n, find the value of x.

Answers

Answer:

x = 24°

Step-by-step explanation:

Using 180-degree formula, we can find x.

=> 84 + 4x = 180°

=> 4x = 180 - 84

=> 4x = 96

=> 24°

Therefore, x = 24°

Hoped this helped.

Answer:

[tex] {\boxed {\sf{x = 24 \degree}}}[/tex]

Step-by-step explanation:

In the given figure we have two consecutive interior angles.

We know that each pair of consecutive interior angles is supplementary.

So,

4x+84 = 1804x = 180 - 844x = 96x = 96/4x = 24

Therefore, x = 24°

If the average price of a new one-family home is 246300 with a standard deviation of 15000, find the minimum and maximum prices of the houses that a contractor will build to satisfy the middle 88% of the market. Assume that the variable is normally distributed. Use a graphing calculator and round the answers to the nearest dollar.

Minimum price:


Maximum price:

Answers

Answer:

Right tail of 10% = +1.2816

------------------------------

minimum price = -1.2816*15000+ 246,300 = $227,076.73

maximum price = +1.2816*15000 + 246,300 = $265,524.00

======================

Cheers,

Stan H.

Step-by-step explanation:

 Missed 10 days of Algebra 2. I think they did some Long Division stuff but i need help figuring out how to do this stuff...
I attached an image below of some example problems

Answers

"Find all real solutions of" basically means solve for x. You're looking for the real numbers x such that the given equation is satisfied. "Zeros" is synonymous with "solutions".

It looks like the first equation is

3x³ + x² - 38x + 24 = 0

It's not immediately obvious whether this can be factorized, so we first carry out the rational zero test to see if there are any rational solutions. *If* this equation has any rational solutions, then they must take the form of (divisor of 24)/(divisor of 3). That is, take any divisor of the constant coefficient and divide it by any divisor of the leading term's coefficient.

We have

• divisors of 24 : ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24

• divisors of 3 : ±1, ±3

Sadly, there are 64 possible roots to test, but we only need one to make the rest of the problem easier.

• Let x = +1 / +1 = 1. Then plugging x = 1 into the equation gives

3•1³ + 1² - 38•1 + 24 = -10 ≠ 0

so x = 1 is *not* a solution

• Let x = +2 / +1 = 2. If x = 2, then

3•2³ + 2² - 38•2 + 24 = -24 ≠ 0

so x = 2 is *not* a solution.

• Let x = +3 / +1 = 3. If x = 3, then

3•3³ + 3² - 38•3 + 24 = 0

so x = 3 is a solution.

By the remainder theorem, this means that x - 3 divides 3x³ + x² - 38x + 24. Using long or synthetic division,

(3x³ + x² - 38x + 24) / (x - 3) = 3x² + 10x - 8

so that

3x³ + x² - 38x + 24 = 0

is the same as

(x - 3) (3x² + 10x - 8) = 0

We factorize the remaining quadratic to get

3x² + 10x - 8 = (3x - 2) (x + 4)

and so the original equation is equivalent to

(x - 3) (3x - 2) (x + 4) = 0

Solve for x :

x - 3 = 0   or   3x - 2 = 0   or   x + 4 = 0

x = 3   or   x = 2/3   or   x = -4

The other equations can be solved similarly, though some of the others you included are much simpler.

For the second problem (note that you left out an exponent), we solve the equation

x³ - 2x² - 23x + 60 = 0

Again, not immediately obvious how to factorize this. But using the rational root test, we have

• divisors of 60 : ±1, ±2, ±3, ±4, ±5, ±6, ±10, ±12, ±15, ±20, ±30, ±60

• divisors of 1 : ±1

If you follow the same steps as before, you'll find the first rational solution with x = 3. So x - 3 divides x³ - 2x² - 23x + 60, and long division gives

(x³ - 2x² - 23x + 60) / (x - 3) = x² + x - 20

and the resulting quadratic is easily factored,

x² + x - 20 = (x - 4) (x + 5)

So, we have

x³ - 2x² - 23x + 60 = (x - 3) (x - 4) (x + 5) = 0

which means

x - 3 = 0   or   x - 4 = 0   or   x + 5 = 0

x = 3   or   x = 4   or   x = -5

For the third problem, we can factor by grouping.

x³ - 4x² - x + 4 = 0

x² (x - 4) - (x - 4) = 0

(x² - 1) (x - 4) = 0

(x - 1) (x + 1) (x - 4) = 0

Then

x - 1 = 0   or   x + 1 = 0   or   x - 4 = 0

x = 1   or   x = -1   or   x = 4

For the fourth problem, we use the rational root test again, but twice this time.

x⁴ - 6x³ + 7x² + 6x - 8 = 0

• divisors of -8 : ±1, ±2, ±4, ±8

• divisors of 1 : ±1

We find that x = 1 and x = 2 are both rational roots, so both x - 1 and x - 2 divide x⁴ - 6x³ + 7x² + 6x - 8. By long division,

(x⁴ - 6x³ + 7x² + 6x - 8) / ((x - 1) (x - 2)) = x² - 3x - 4

and factoring this gives

x² - 3x - 4 = (x + 1) (x - 4)

So, we have

x⁴ - 6x³ + 7x² + 6x - 8 = (x - 1) (x - 2) (x + 1) (x - 4) = 0

which means

x - 1 = 0   or   x - 2 = 0   or   x + 1 = 0   or   x - 4 = 0

x = 1   or   x = 2   or   x = -1   or   x = 4

For the last problem,

x⁴ + 4x³ + 7x² + 16x + 12 = 0

we use the rational root test again.

• divisors of 12 : ±1, ±2, ±3, ±4, ±6, ±12

• divisors of 1 : ±1

We find that both x = -1 and x = -3 are rational solutions, and dividing gives

(x⁴ + 4x³ + 7x² + 16x + 12) / ((x + 1) (x + 3)) = x² + 4

which we cannot factorize further over the real numbers. So we end up with

x⁴ + 4x³ + 7x² + 16x + 12 = (x + 1) (x + 3) (x² + 4) = 0

so that

x + 1 = 0   or   x + 3 = 0   or   x² + 4 = 0

x = -1   or   x = -3

(We omit the third equation here because it has no real solution since x² + 4 ≥ 4 for all real x.)

A person is running a distance race at a constant rate. What time will they finish the race what information would you need to be able to solve the problem?

Answers

Answer:

you need the distance they're running and the pace they are running at.

9.
Identify the point corresponding to Q.

IT'S NOT A. Q' (-3, -4)

A. Q′ (−3, −4)

B. Q′ (−4, 1)

C. Q′ (−1, −4)

D. Q′ (−4, −3)

Answers

Answer:

C(-1, -4)

Step-by-step explanation:

see the point reflected over the line through the vertex point

Answer:

D. Q′ (−4, −3)

Step-by-step explanation:

From looking at the graph it looks like the answer would be

Q= (3, -4) if the X-axis goes first

Q= (-4, 3) if the Y-axis goes first

A construction crew needs to pave a road that is 207 miles long. The crew paves 8 miles of the road each day. The length, L (in miles), that is left to be paved after d days is given by the following function. L(d) = 207–8d Answer the following questions. (a) IF 143 miles of the road is left to be paved, how many days has the crew been paving the road? E 1 days (b) How many miles of the road does the crew have left to pave after 13 days? ​

Answers

Answer:

8: 207

x: 143

and solve that to get your answer

The required answers are-

(a) The crew been paving the road for 8 days.

(b) 103 miles of the road have left for the crew to pave after 13 days.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

The given equation to pave a road is,

L(d) = 207– 8d

where, length, L (in miles), and d days.

(a) For 143 miles of the road is left to be paved, the number of days is given as-

Put Length L(d) = 143 in the equation to pave a road

we get,

143 = 207– 8d

or, 8d  = 207– 143

or, 8d  = 64

or, d  = 64/8

⇒ d  = 8 days

So, The crew have been paving the road for 8 days.

(b) miles of the road have left for the crew to pave after 13 days.

Put d = 13 days in the equation to pave a road

we get,

L(d) = 207– 8*13

or, L(d) = 207– 104

⇒  L(d) = 103 miles

So,103 miles of the road have left for the crew to pave after 13 days.

Thus,The required answers are-

(a) The crew have been paving the road for 8 days.

(b) 103 miles of the road have left for the crew to pave after 13 days.

To learn more about roads:

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The sum of two numbers is 52. The greater number is 4 more than the smaller number. Which equation can be used to solve for the smaller number ?-(+4)=52+(+4)=52(+4)=52(-4)=52 Matthew Bailey, as manager of Designs by Bailey, is upgrading his CAD software. The high-performance (HP) software rents for $3,000 per month per workstation. The standard-performance (SP) software rents for $2,000 per month per workstation. The productivity figures that he has available suggest that the HP software is faster for his kind of design. Therefore, with the HP software he will need five engineers and with the SP software he will need six. This translates into a variable cost of $200 per drawing for the HP system and $240 per drawing for the SP system. At his projected volume of 80 drawings per month, which system should he rent? Ca. a tribute a b. a song c. owing money d. poem 2. How many years did it take from the first Thanksg settlers to finally become a Federal Holiday? a. 215 years b. 75 years c. a century d. 320 years 3. What two words would best describe why Roose Thanksgiving to the third Thursday of each month? a. Increase sales b. Show greed C. Give thanks d. Honor Indians What American President made Thanksgiving a oliday? a. John Adams Why Edgar Allan Poe foster family never officially adopted him?? What are the unique properties of carbon Por qu se considera que las obras artesanales son objetos nicos e incorporables? independence day in school long passage plss Is there a value of x that makes each of the following equalities true? If there is, find it.a. x-3=0b. x=-10c. x+1=0d. x=0.1 Can somebody shade this for me? Thank you!Create and shade a number line that shows the following inequality. Make sure to label at least 3 numbers on the number line, put an open circle, and shade to the left or to the right.-11 > x We shouldn't overload people......... information or else they'll just switch off Gene has a gasoline budget of $275 per month. He uses an average of $6 of gasoline each day he drives. Which of the following equations represents how much money is left in his gasoline budget after x days of driving?A. y=275-6xB. y=275+6xC. y=6x-275D. y=275x-6 Kelly watches 3/5 of a movie in 5/8 of an hour. How much time wil it take her to watch the entire movie? according to the u.s. surgeon generals office, more than ______ million americans struggle with opioid abuse or addiction. what is 10 divided by 8 equal? Can someone please help I will give you 30 points and brainliest if the answer is right also no links please Please help! Need an expert in this and will give 50 points and brainliest if its answered. Getting reported if its answered for pointsPat Jones is a college student who is planning some networking opportunities for the current semester. Pat wanted to look professional for these events and felt a new suit would be a real benefit; however, the cost for the first event ended up being $75 which was a strain on the budget. Pat did not want to attend theremaining three events in the same outfit, so a new strategy was developed. Instead of paying for new suits in cash, Pat decided to charge the suits on a credit card, wear them to the events, and then return them the nextday for full credit.2. Do you feel Pat's new strategy is ethical? Why or why not? Could there be any consequences with this strategy?3. How will this new strategy impact the company/companies where the suits are purchased?4. What journal entry/entries would the company have to record related to the return of the suit? -8 less than a number is no more than 12 operations are able to respond quickly to customers and changes in the environment in a decentralized organization because ______. Can you PLEASE help me with this? Mrs. Collado is buying arefrigerator that sells for $590.After a 10% discount is taken,6% sales tax is added to theprice. A $50 delivery charge isadded on after the tax is computed. What will be the final cost of the refrigerator?