A car uses 3t gallons of gasoline to travel 5 miles.

a) How many gallons of gasoline are needed to travel 8 miles? Give your answer in terms of t.

24t/5 (fraction)

b) The car uses 9t gallons of gasoline to travel from Town X to Town Y. How many miles apart are the two towns?

please answer “b” i know a for certain

Answers

Answer 1

Answer: a) [tex]\frac{24}{5}t gallons[/tex] are needed to travel 8 miles

b) Town X and town Y are 15 miles apart.

Step-by-step explanation:

Given : Gasoline used to travel 5 miles = 3t gallons

a) To find: Gasoline used to travel 8 miles = ?

Using unitary method:

If Gasoline used to travel 5 miles = 3t gallons

Thus Gasoline used to travel 8 miles = [tex]\frac{3t}{5}\times 8=\frac{24}{5}t gallons[/tex]

[tex]\frac{24}{5}t gallons[/tex] are needed to travel 8 miles

b) when 3t gallons of gasoline are used , distance covered = 5 miles

Thus when 9t gallons of gasoline are used , distance covered = [tex]\frac{5}{3t}\times 9t=15 miles[/tex]

Thus town X and town Y are 15 miles apart.


Related Questions

I just need to know if it’s true or false. Please help :)

Answers

Answer:

true

false

false

Step-by-step explanation:

that's according to my opinion

I WILL GIVE BRAINLIEST!!!

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

M = 0.65146579

t=0

simplified = M ( t ) = 0.65146579 t

Step-by-step explanation:i really hope this helps you

The function f(x) = (x – 3)^3 is transformed to
g(x) = (x + 2)^3 – 7. Identify the transformations that
have occurred.

Answers

Answer:

I DO NOT KNOW BECAUSE I JUST NEED POINTS SORRY

Step-by-step explanation:

SORRY

On a coordinate plane, pre-image rectangle has points (0, 0), (6, 0), (6, negative 3), (0, negative 3. The image has points (0, 0), (2, 0), (2, negative 1), (0, negative 1).
Compare the ordered pairs of the pre-image to the image to answer these questions.

Is the dilation an enlargement or reduction?

The point of dilation is about what coordinate?

What is the scale factor?

Answers

Answer:

Is the dilation an enlargement or reduction?

Reduction

The point of dilation is about what coordinate?

0,0

What is the scale factor?

1/3

Step-by-step explanation:

The dilation is a reduction. The point of dilation is about coordinate (0,0).  The scale factor is 1/3.

What is a transformation?

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

On a coordinate plane, the pre-image rectangle has points (0, 0), (6, 0), (6, -3), and (0, -3).

The image has points (0, 0), (2, 0), (2, -1), and (0, -1).

The required figure has been attached below which represents the dilation.

As we can see that the dilation is a reduction.

The point of dilation is about coordinate (0,0).

This result of dilating a given triangle with a scale factor is 1/3.

To learn more about the transformations click here :

brainly.com/question/28029674

#SPJ6

Which one is it pleaseee helppppp!

Answers

Answer:

-2/1

Step-by-step explanation:

i hope this helps :)

I can't see the image

7
15
8
16
A rectangle has length 3 - inches and area 6-
square inches. Round these measurements to the
nearest integer. Let w represent the width of the
rectangle in inches. Which of these equations correctly
relates the rectangle's length and width to its area?
Á 4w = 6
B. 4w = 7
C. W + 4 = 7
D. 4 = 7
W

Answers

It’s A it equals 4w=6

What is the probability of drawing a king or a diamond from standard deck 52 cards

Hep please guys due in 15 min

Answers

Answer:

16/52=4/13

Step-by-step explanation:

4 kings+13diamonds-1

What the closets estimate of 692-343

Answers

Answer:

700 - 340 =  360

Step-by-step explanation:

Is your best estimate

F(x)=4(5/6)^x exponential growth or decay

Answers

Answer:

decay

Step-by-step explanation:

2.


A. She mixed up the x- and y-values.

B. She used y-values where she should have used x-values.

C. She did not keep the order of the points the same in the numerator and the denominator.

D. She should have added the values, not subtracted them.

Answers

Answer:

C. She did not keep the order of the points the same in the numerator and the denominator.

Step-by-step explanation:

She needs to switch 1 with 17 so it can be [tex]\frac{17-1}{18-14}[/tex]. It needs to equal [tex]\frac{y2-y1}{x2-x1}[/tex].

Answer:

C. She did not keep the order of the points the same in the numerator and the denominator.

Step-by-step explanation: Hope this helps

The correct slope should look like: 1-17/14-18

If you do 1-17 for the numerator then 14-18 must be the denominator (the slope is 4: -16/-4 = 4)

The equation to find the slope of a line is (y2-y1)/(x2-x1). (x1,y1) is the first coordinate point, (x2, y2) is the other. It does not matter which coordinate point you use first, as long as you remain consistent.

14,1

x1  y1                     18,17

                           x2  y2  

17-1     =16/12

18-4

HELP WILL MARK BRIANLIET ANSWER IF GOTTEN RIGHT

Answers

Answer:

x=22

Step-by-step explanation:

Pythagorean theorem. a^2+b^2=c^2. In this case, its 11[tex](11\sqrt{2} )^2+11\sqrt{2} ^2=x^2[/tex]. If you solve it out, you get 242+242=x^2. Simplify to get 484=x^2. Square root both sides and x=22

What is the slope in the equation y=2x + 3
A-Cannot be determined
B-3
C-5
D-2

Answers

Answer: D.

Step-by-step explanation:

Find the value of n.Angles 3

Question 4 options:

33


114


147


Not enough information.

Answers

Answer:

the value of x =114

I hope this help

What is 87 divided by 24

Answers

Answer:

3.625

Step-by-step explanation:

Are these shapes similar or congruent? H E L P !

Answers

Answer: similar

Step-by-step explanation: they are not congruent

Answer:

similar

Step-by-step explanation:

im pretty sure dats right

hello kenny
you smell like we clothes and toothpaste

Answers

yes agreed he really does smell like toothpaste


The length of the side of a square is 3x - 6. What is the perimeter of the square
in terms of x?

Answers

Answer:

12x - 24

Step-by-step explanation:

Since the perimeter of a square 4 times a side length we can do 4 times 3x - 6 or 4(3x - 6) and use the distributive property to get 12x - 24.

Sean wants to build a treehouse. They have a 13-foot ladder that must
be propped diagonally against the tree. If the base of the ladder is 5
feet from the bottom of the tree, how high will the tree house be off the
ground? Round your answer to the nearest tenth.

Answers

Answer:

im sorry i need the poonts have a good day

Which of the following increases at the fastest rate for larger values of x?

Answers

Answer:

I believe it might be B

if I'm wrong I apologise.

Answer:

I believe the answer for this would actually not be B, but C.

Step-by-step explanation:

C is an exponential function, exponential functions are known for increasing at the fastest rate for larger values of X. Here is a picture of my Algebra reading material if this helps better explain it.

find the value of given expression

[tex] \sqrt{21 \times 21} [/tex]

Answers

Answer:

21

Step-by-step explanation:

In the equation y= -5x + 7 which value represents the slope of the equation?​

Answers

Answer:

-5x

Step-by-step explanation:

NEED HELP ASAP

Nyla invested $200 in an account with a 0.75% annual interest rate.
She made no deposits or withdrawals on the account for 3 years. If
interest was compounded annually, what is the balance in her bank
account at the end of 3 years?
A=4.53

B=1,071.88

C=450.00

D= 204.53

Answers

Answer:

D

Step-by-step explanation:

.75% of 200 is 1.5

multiply that by 3

add the original amount

The $204.53 is the balance in her bank account at the end of 3 years option (D) 204.53 is correct.

It is given that the Nyla invested $200 in an account with a 0.75% annual interest rate.

It is required to find the balance in her bank account at the end of 3 years if compounded annually.

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A= P(1+r)^t[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          t = How long the money is deposited or borrowed (in years)

We have P = $200

               r = 0.75% = 0.0075

               t = 3 years

Putting the values in the formula, we get;

[tex]\rm A= 200(1+0.0075)^3\\\\\rm A = 200(1.0226)\\\\\rm A = \$204.52[/tex]

or A ≈ $204.53

Thus, the $204.53 is the balance in her bank account at the end of 3 years option (D) 204.53 is correct.

Learn more about the compound interest here:

brainly.com/question/26457073

What is the formula used for finding the are of a triangle​

Answers

Answer:

Area = 1/2 × b × h

Hope this helps, thank you :) !!

in an election, there was 12 votes for Carl for every 23 votes for Macy. Macy received 345 votes. How many did Carl receive?​

Answers

Answer:

180

Step-by-step explanation:

divide Macy's total by 23. you get 15.

then multiply the 15 by the 12 votes Carl gets.

giving me 180 votes for Carl.

If the measure of angle 2 is (5x+14)and angle 3 is (7x- 14)", what is the measure of angle 1 in degrees?
X
112
413
088°
899
O 90°
910

Answers

Answer:

m∡1 = 91°

Step-by-step explanation:

5x+14+7x-14 = 180

12x = 180

x = 15

m∡2 = 5(15)+14 = 89

m∡1 = 180 - 89 or 91°

What will be the new coordinates of the point when the ordered pair (-3, -5) is reflected across only the x-axis?


A.
(3, 5)

B.
(3, -5)

C.
(-3, 5)

D.
(-3, -5)

Answers

Answer:

3,5 I think is the point of axis

Step-by-step explanation:

ok

-3,5 bc the x axis is horizontal

I don't know how to solve this​

Answers

It is 22.6958769 M/S

-1/4 ( 12x + 8) is less than or equal to -2x + 11 what is the solution to this inequality​

Answers

Answer:

X greater or lesser than -13

Step-by-step explanation:

To find the solution to this inequality, solve for x.

-1/4 (12x + 8) ≤ -2x + 11

First, distribute -1/4 into (12x + 8)

-3x - 2 ≤ -2x + 11

To solve for x, bring it to one side of the equation

-x - 2 ≤ 11

Add 2 to both sides to isolate x

-x ≤ 13

Divide each side by -1

x ≥ -13

When you divide by a negative sign with an inequality, you flip the inequality sign. So negative x is less than or equal to 13 becomes x is greater than or equal to -13.

To check this, plug in -13 for x, a number greater than -13 for x, and a number less than -13 for x. The solution will be true for a number ≥ -13, but false for a number ≤ -13

Is the following relation a function? Justify your answer. [(3, 1), (4,2), (3,9),(1,4), (2, 6)}​

Answers

Answer:

yes

Step-by-step explanation:

I think it the relation between arrow daigram or matrix

Solve the system by graphing
X-y=-9
3x + 4y = 8

Answers

Answer:

(-4,5)

Step-by-step explanation:

(-4,5) is the solution.

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