some friends decided to equally split the cost of the gas on their trip . the expression 3g/4 represents how much money each person had to pay in dollars for g gallons of gas . what does the expression 3g in the numerator represent ?

Answers

Answer 1

3g = total cost in dollars paid for the gas of the trip


Related Questions

The answer to (x+5) (x+4)

Answers

Answer: 9x^2+41x+20

Step-by-step explanation:

The angle bisector of the angle ABC is BP. If angle ABP is 6nº, what is angle ABC?

Answers

The measure of the angle ABC given that the bisector is ABP is 12n degrees

How to determine the measure of angle ABC

From the question, we have the following parameters that can be used in our computation:

Angle measures

The angle measures and the relationships are given as

The angle bisector of the angle ABC is BPThe measure of the angle ABP is 6nº

Using the above as a guide, we have the following:

The above statements mean that

ABC = 2 * ABP

substitute the known values in the above equation, so, we have the following representation

ABC = 2 * 6n

Evaluate the products

ABC = 12n

Hence, the measure is 12n degrees

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What is the equation of the line that passes through the point (-4,1) and has a slope of -5/4

Answers

Answer:

y = -5/4x -4

Step-by-step explanation:

slope(m)= -5/4

x1=-4,y1=1

using the formula for one point form

y-y1=m(x-x1)

y-1= -5/4(x-(-4))

y-1 = -5/4x + -5/4 × +4

y - 1 = -5/4x -5

y=-5/4x -5 + 1

y = -5/4x -4.

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URGENT HELP A contest allows anyone to enter as many times as they would like and at the end of the contest, a winner is randomly chosen from all the entries. Suppose 450 people enter the contest. If Sabine entered 3 times and Joe entered 5 times, then what is the probability Joe or Sabine will win the contest?

Answers

Answer:

4/225

Step-by-step explanation:

Formula :

Probability (Event) = No. of times event has occurred / Total possibilities

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

Solving :

⇒ P (Joe or Sabine) = No. of times Joe or Sabine has entered / Total number of people

⇒ P (Joe or Sabine) = 3 + 5 / 450

⇒ P (Joe or Sabine) = 8/450

⇒ P (Joe or Sabine) = 4/225

Can someone help me Solve:
-2√3+√75=

Answers

Answer:

\(3\sqrt{3}\)

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

Simplify in below steps:

\(-2\sqrt{3} +\sqrt{75} =\)\(-2\sqrt{3} +\sqrt{25*3} =\)\(-2\sqrt{3} +\sqrt{5^2*3} =\)\(-2\sqrt{3} +5\sqrt{3} =\)\(3\sqrt{3}\)

PLEASE HELP FAST!! IT IS URGENT!! The owner of a fitness watch would like to determine if the mean number of steps he takes per day differs from the recommended 10,000 steps per day, using a = 0.01. He selects a random sample of 50 days with the intention of testing the hypotheses Hop-10,000 steps versus Hp 10,000 steps where the true mean number of steps taken per day. Which of the following values of the alternative hypothesis would yield the greatest power to reject the null hypothesis?
u=9,000
u=9,500
u = 10,000
u = 10,500​

Answers

Answer:

The correct answer is: u = 10,500. When the value of the alternative hypothesis is greater than that of the null hypothesis, the power of the test will be increased, so a value of u = 10,500 would yield the greatest power to reject the null hypothesis.

A rectangular room is
1.5
times as long as it is wide, and its perimeter is
35
meters. Find the dimension of the room.

The length is :
meters and the width is
meters.

Answers

The dimensions of the room are approximately 7 meters by 10.5 meters.

The length is 10.5 meters and the width is 7 meters.

What are dimensions?

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.

Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.

The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:

\(\text{Perimeter} = 2(\text{length} + \text{width})\)

Substituting the values we have for length and width, we get:

\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)

Simplifying the equation, we get:

\(\rightarrow35 = 2(2.5\text{x})\)

\(\rightarrow35 = 5\text{x}\)

\(\rightarrow\text{x}=\dfrac{35}{5}\)

\(\rightarrow\bold{x\thickapprox7}\)

So the width of the room is 7 meters.

To find the length, we can substitute x into the expression we have for the length:

\(\rightarrow\text{Length} = 1.5\text{x}\)

\(\rightarrow\text{Length} = 1.5(7)\)

\(\rightarrow\bold{Length=10.5}\)

So the length of the room is 10.5 meters.

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75.65 to the nearest ten

Answers

i think it would be 75.7

You have written ten.

If it means tens then your answer is:

80

If it means tenths then your answer is:

75.7

It takes at 45 minutes to complete his science homework. It takes him 2/3 as long to complete his math homework. How long does it take add to complete his math homework?

Answers

Answer:

30 minutes

Step-by-step explanation:

45 =     15 +15 +15     (3 parts of 15)

2 parts of 15  = 30

Multiply and fill in the blanks
a) 5pq(p2+ q2+pq)
b) -7pr (pq – qr - rq)
c) (4x-3y) (5x-4a)

with explanation pls !

Answers

The solution to the simplification of the algebraic expressions are;

A) 5p³q + 5pq³ + 5p²q

B) 14pqr² - 7p²qr

C) 20x² - 15xy - 16ax + 12ay

A) We have the expression;

5pq(p² + q² + pq)

Multiplying out using the concept of distributive property, we have;

(5pq × p²) + (5pq × q²) + (5pq × pq)

>> 5p³q + 5pq³ + 5p²q

B) We have the expression;

-7pr(pq – qr - rq)

Multiplying out using the concept of distributive property, we have;

-7p²qr + 7pqr² + 7pqr²

>> 14pqr² - 7p²qr

C) (4x - 3y)(5x - 4a)

By quadratic expansion, we have;

(4x * 5x) - (3y * 5x) - (4x * 4a) + (4a * 3y)

>> 20x² - 15xy - 16ax + 12ay

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The probability that an international flight leaving the United States is delayed in departing (event D) is 34. The probability that an
international flight leaving the United States is a transpacific flight (event A is 51. The probability that an international flight leaving the
U.S. is a transpacific flight and is delayed in departing is 13.
(a) What is the probability that an international flight leaving the United States is delayed in departing given that the flight is a
transpacific flight? (Round your answer to 4 decimal places.)

Answers

Answer:

the answer is answer nice answer my answer

Step-by-step explanation:

if u answer the answer then answer u should be able to answer within the answer with answer present and answer nice answer answer answer answer answer answer answer answer

What is the area of the triangle in the diagram?

What is the area of the triangle in the diagram?

Answers

Answer:

B.

Step-by-step explanation:

the area of a triangle is

Area = baseline × height / 2

the baseline can be any of the 3 sides.

the height is then the perpendicular connection from the corner point opposite of the chosen line to the chosen line.

in this example the easiest approach would be to pick (x1,y1) to (x2,y1) as baseline, and the height would then be the piece of the y-axis from (0,0) to the baseline.

so, how long is the baseline ?

we need to calculate the difference between the coordinates of both corner points.

we have here an easy case, as both points have the same y value, so we only need to look at the difference in x.

baseline = x2 - x1

and the height is here simply (because of the special case) the difference of the baseline from (0,0) on the y-axis

height = y1

therefore, the area of the triangle is

Area = (x2-x1) × y1 / 2 = 1/2 × y1(x2-x1) = solution B

if the corner points and height are not so nicely aligned with the coordinate axis, then we need to calculate the distances by using Pythagoras to determine the "Hypotenuse" of the triangles created by the differences of the individual coordinates.

in our example

((x1,y1) to (x2,y1))² = (x2-x1)² + (y1-y1)² = (x2-x1)² + 0 = (x2-x1)²

and therefore

(x1,y1) to (x2,y1) = (x2-x1)

and we are back to our original solution.

Find 0% of 48:

Find 100% of 48:

Find 50% of 48:

Find 25% of 48:

Find 75% of 48:

Answers

Answer:

0

48

24

12

36

Step-by-step explanation:

The recently released iPhone XS Max comes in three different storage sizes: 64GB, 256GB, and 512GB. The price of the 64GB phone is $1,099. If prices were proportional to the phone's storage size, how much would the 256GB phone and the 512GB phone cost

Answers

very much alot of very large amouts of big moneys that are worth a large amout

Please help me fast i need help but please no links

Please help me fast i need help but please no links

Answers

Answer:

dont click that other guys link its an ip grabber

Step-by-step explanation:

A square with 20 meters shown as 12 centimeters, how long would a girder appear 15 meters long?

Answers

9.6 centimeters

EXPLANATION

20 meters = 12 centimeters

15 meters = x

20 meters/12 centimeters = 15 meters/x

20 meters/0,12 meters = 16 meters/x

1666.66 = 16 meters/x

x = 16 meters : 1666.66

x = 0.096 meters

x = 9.6 centimeters

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Suppose a distant galaxy has a recessional velocity of 8254 km/s. What is its distance given that the hubble constant is 70 km/s/mpc? input your answer as a number only, in units of mpc.

Answers

Galaxy distance is 118 mpc.

Given:

Suppose a distant galaxy has a recessional velocity of 8254 km/s. What is its distance given that the hubble constant is 70 km/s/mpc.

According to hubble's law:

v = \(H_0\\\) * D

where

v = velocity = 8254

\(H_0\\\) = hubble constant = 70

D = v/\(H_0\\\)

= 8254/70

= 4127/35

= 117.91

≈ 118 mpc.

Therefore Galaxy distance is 118 mpc.

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solve simultaneously 2x - y = - 10 and 3x + 2y = - 1

Answers

The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

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One leg of a triangle has a length of 3m. The other sides have lengths that are consecutive integers find these lengths

Answers

The length of the other two sides are 4m and 5m

How to determine the lengths

Using the Pythagorean theorem, we have that the square of the hypotenuse sides is equal to the sum of the squares of the other two sides of the triangle

This is represented as;

x² = y² + z²

From the information given, we have that;

z = 3m

x = x + 1

y = x

Substitute the values, we get

(x + 1)² = x² + 3²

Find the squares

(x + 1) ² = 9 + x²

expand the bracket

(x + 1) ( x + 1) - x² = 9

x² + x + x + 1 - x² = 9

collect like terms

2x = 8

x = 4

Then,

x + 1 = 5

x = 4

Hence, the values are 4m and 5m

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The drawing plan for an art studio shows a rectangle that is 192 inches by 4 inches. The scale in the plan is 2 in: 5 ft. Find the length and width of the actual studio. Then find the area of the actual studio. The length is feet feet the width is feet, and the area is square​

The drawing plan for an art studio shows a rectangle that is 192 inches by 4 inches. The scale in the

Answers

Answer:

Step-by-step explanation:

192in(5ft/2in)=480ft

4in(5ft/2in)=10ft

A=480ft(10ft)=4800ft^2

can someone help me forgot to stuffy due in 1 hour pls.​

can someone help me forgot to stuffy due in 1 hour pls.

Answers

Answer:

m∠GFC=69

Step-by-step explanation:

∠FBC is Supplementary to ∠BFG because ║lines mean that same side interior angles are supplementary.

So if x represents ∠GFC, the equation would be:

41+70+x=180

Just solve for x.

111+x=180

x=69

Lauren has a $70 gift card for a department store. Lauren buys new sunglasses with her gift card. The gift card has a remaining balance of $3.66 after she purchases the sunglasses. If the sales tax is 7%, what was the price of the sunglasses before tax?

Answers

If the sales tax is 7%, the price of the sunglasses is  $61.6962

How to find the original price of the sunglasses before tax?

She has $70 gift card for a department store.

She buys a new glasses with her gift card.

The gift card had a remaining balance of $3.66.

Therefore,

amount she bought the sunglasses with tax = 70 - 3.66 = $66.34

Hence,

Sales tax = 7 / 100 × 66.34 = $4.6438

Therefore,

The original price before tax = 66.34 - 4.6438 = $61.6962

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Can someone help me it’s due today

Can someone help me its due today

Answers

Answer:

1 quart must be added

Step-by-step explanation:

To do this, set up an equation.

Let x be the number of quarts of antifreeze to be added. Then, you know that the new solution will have a total of 4 quarts with 2/5 of it being antifreeze, so \(\frac{2}{5} (x+3)\) would be the amount of antifreeze. Another way to represent the amount of antifreeze is \(x + \frac{3}{5}\) because the original mixture has 3/5 of quart of antifreeze, while the added stuff is fully antifreeze.

Now, you just solve the equation:

\(\frac{2}{5} (x + 3) = x + \frac{3}{5}\)

multiply both sides by 5

\(2(x + 3) = 5x + 3\)

Use the distributive property on the left

\(2x + 6 = 5x + 3\)

subtract 2x from both sides

\(6 = 3x + 3\)

subtract 3 from both sides

\(3 = 3x\)

divide both sides by 3

\(1 = x \\x = 1\)

Therefore the answer is 1 quart

Danielle buys two submarine sandwiches for an after-school party. One sandwich is 20 inches
long and the other sandwich is 12 inches long. Danielle wants to cut servings of the same
length from both sandwiches, without having any sandwich left over. What is the greatest
length serving that Danielle can cut?

Answers

The greatest length serving that Danielle can cut is 4.

What is factorization?

It is important to note that factorization has to do with writing a number a a product of several factors that are of same kind.

In this case, Danielle buys two submarine sandwiches for an after-school party and one sandwich is 20 inches long and the other sandwich is 12 inches long.

Here, we have to find the factor of both numbers. This will be:

12 = 1, 2, 3, 4, 6, 12.

20 = 1, 2, 4, 5, 10, 20

Therefore, the highest common factor here is 4.

In conclusion, the greatest length is 4.

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I am a parallelogram. Two of my sides are parallel to the bottom of the paper. The endpoints of the bottom side are at (2, 5) and (9, 5). The slope of the line segments that form my two sides is 0.75, and the length of each side is 5 units. What are my other two vertices?

Answers

According to the information, the vertex at the top left of the parallelogram is (4, 8.25). Thus, the other two vertices of the parallelogram are (2, 5), (9, 5), (7, 8), and (4, 8.25).

How to find the vertices of the parallelogram?

To find the vertex of the parallelogram we can use the point-slope form of a line: y - y1 = m(x - x1), where,

m = slope(x1, y1) = point on the line

For the side sloping up from left to right, we can use the point (2, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:

y - 5 = 0.75(x - 2)

Simplifying, we get:

y = 0.75x + 3.5

To find the point where this line intersects the top side of the parallelogram, we can use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (2, 5) is 5 units away from the intersection point in the x-direction, so we can add 5 to the x-coordinate to find the intersection point. Plugging in x = 7 into the equation above, we get:

y = 0.75(7) + 3.5 = 8

Therefore, the vertex at the top right of the parallelogram is (7, 8).

For the side sloping down from left to right, we can use the point (9, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:

y - 5 = -0.75(x - 9)

Simplifying, we get:

y = -0.75x + 11.25

To find the point where this line intersects the top side of the parallelogram, we can again use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (9, 5) is 5 units away from the intersection point in the x-direction, so we can subtract 5 from the x-coordinate to find the intersection point. Plugging in x = 4 into the equation above, we get:

y = -0.75(4) + 11.25 = 8.25

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What is the equation of the line in slope-intercept form?

What is the equation of the line in slope-intercept form?

Answers

Answer:

y=4/3x+4

Step-by-step explanation:

Simplify the expression so there is only one positive power for the base, -5.

Simplify the expression so there is only one positive power for the base, -5.

Answers

Answer:

c

Step-by-step explanation:

it's a property of powers, when the base is the same (-5) , you need to

sum the powers when both terms are multiplyng

subtract the powers when both terms are dividing (numerator power minus denominator power, in that order)

What is the remainder and quotient of 23 divided by 861

Answers

Answer:

37  r10                  

explanation                                              

   0 3 7

2 3   L 8 6 1

 − 0    

   8 6  

 − 6 9  

   1 7 1

 − 1 6 1

     1 0

7 is subtracted from the cube of a number

Answers

Answer:

(7 + x3)

Step-by-step explanation:

Let x represent the number.

Then the expression will (7 + x3)

HELP ME PLEASE!!!!!!!!!!!!

HELP ME PLEASE!!!!!!!!!!!!

Answers

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is: ∠A = 39.6°

3) The length of side x is: x = 39.5 mm

How to find the trigonometric ratios?

The six trigonometric ratios of a right angle triangle are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

cot x = 1/tan x

sec x = 1/cos x

cosec x = 1/sin x

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is gotten from:

∠A = cos⁻¹ (47/61)

∠A = 39.6°

3) The length of side x using trigonometric ratios is:

21/x = tan 28

x = 21/tan 28

x = 39.5 mm

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what did wu daozi, li bo, du fu, and li qingzhao contribute to chinese culture Can someone please help me? :( In the diagram below, AngleDAB and AngleDAC are adjacent angles. Lines A B, A D, and A C create two angle. The space between lines A B and A D is (2 x minus 10) degrees. The space between lines A D and A C is (x minus 20) degrees. If mAngleDAC = 25, what is mAngleDAB in degrees? What is Angle BAC in degrees? Which defines a circle? : (1 point) Given a normal population whose mean is 600 and whose standard deviation is 44, find each of the following: A. The probability that a random sample of 4 has a mean between 604 and 618. Probability = B. The probability that a random sample of 17 has a mean between 604 and 618. Probability= C. The probability that a random sample of 25 has a mean between 604 and 618. Probability PLS HELP SUPER HARD 100 POINTS Ian dissects a frog in science class and is interested in the heart. He studies a diagram of the human heart to compare them. He finds that a frogs heart has two atria and a single ventricle. He returns to the human heart diagram and reads that it is considered a double loop system.In the center of the diagram is a small round object, with a cutaway to see inside. Inside are two main sections separated by a thick line. The section on the left of the diagram is labeled right side of the heart. There are arrows pointing down and curving back up into a dark tube. The section on the right of the diagram is labeled left side of the heart. There are arrows pointing down from a light tube and then back up. On top of the diagram is a looped tube. One end of the tube is darker and labeled arteries. It is connected to the top of the right side of the heart section, and it has arrows pointing upward. At the top of the diagram the tube splits into smaller tubes labeled, capillaries. The smaller tubes join back into a single, lighter tube, which is labeled veins. This portion of the tube is connected to the top of the left side of the heart section. It has one arrow pointing down. At the bottom of the diagram is a second looped tube. One end of the tube, is lighter and labeled arteries. It is connected to the top of right side of the heart section, and it has arrows pointing downward. At the bottom of the diagram the tube splits into smaller tubes labeled, capillaries. The smaller tubes join back into a single, darker tube, which is labeled veins. This portion of the tube is connected to the top of the right side of the heart section. It has arrows pointing upward.Why is the human heart called a double loop system? A. There are two sections, or loops, that each have the same job in the circulatory system. B. One loop passes through the heart on the way to the body, and the other loop passes through the body to the lungs. C. One loop takes blood with oxygen to the lungs, and the other loop takes blood and wastes to the body. D. 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A drawer may be criminally prosecuted for issuing a bad check if the drawer's account has insufficient funds to pay the check and was issued with the intent to defraud a payee. 69. A postdated check is payable immediately after issuance even though it is dated with a later date. What is the domain of the step function f(x) graph form a sketch map or get a map from the area.when you draw shade with different colours to distinguish land marks{natural made or man made} arjun received a large bonus at the end of the year. rather than just put the money in his savings account, he decides to invest the money instead. his biggest concern is how quickly he can convert his investment into cash if for some reason he needs the funds. arjun is concerned with which investment criteria? Among a random sample of 250 college students, the mean number of hours worked per week at non-college related jobs is 15.2. This mean lies 1.5 standard deviation(s) above the mean of the sampling distribution. If a second sample of 250 students is selected, what is the probability that for the second sample, the mean number of hours worked will be greater than 15.2? Round to three decimal places as needed Is it possible for a human to multitask, or cognitively focus on two things at the same time?. 1. Mike has four cards numbered one to four. He draws one card and records the number. Calculate the probability that the result will be:A a multiple of three B a multiple of two C a factor of three Can you guys whats 1/4 out of 0.044thx On a turn you must roll a six-sided die. If you get 6, you win and receive $5.9. Otherwise, you lose and have to pay $0.9.If we define a discrete variableXas the winnings when playing a turn of the game, then the variable can only get two valuesX = 5.9eitherX= 0.9Taking this into consideration, answer the following questions.1. If you play only one turn, the probability of winning is Answer for part 12. If you play only one turn, the probability of losing is Answer for part 23. If you play a large number of turns, your winnings at the end can be calculated using the expected value.Determine the expected value for this game, in dollars.AND[X]= Please help this is due in 12 minutes bilbo baggins wants to save money to meet three objectives. first, he would like to be able to retire 30 years from now with retirement income of $33,000 per month for 25 years, with the first payment received 30 years and 1 month from now. second, he would like to purchase a cabin in rivendell in 10 years at an estimated cost of $430,000. third, after he passes on at the end of the 25 years of withdrawals, he would like to leave an inheritance of $1,300,000 to his nephew frodo. he can afford to save $4,300 per month for the next 10 years. if he can earn an ear of 10 percent before he retires and an ear of 7 percent after he retires, how much will he have to save each month in years 11 through 30? (do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) describe in detail how to determine if a source is credible when conducting research The United States wanted to stop the spreadof which of the following after World War II?A. capitalismB. communismC. socialism