The number of miles a car can drive varies directly with the number of gallons of gas in
the car. If the car can go 81 miles on 3 gallons of gas, how many gallons does the car
need to go 378 miles?

Answers

Answer 1

Answer:

14 gallons

Step-by-step explanation:

Answer 2

Answer:

14 gallons

Step-by-step explanation:


Related Questions

a metal block has a mass of 60kg and a volume of 0.5 meter cube. what is the density of the metal​

Answers

Answer:

Step-by-step explanation:

Given

A metal block has a mass = 60kg

volume = 0.5 meter cube

Solution

Density=masala volume

Density=60/0.5

Density of the metal=120kg/m^3

A family purchased tickets to a museum and spent a total of $70.00. The family
purchased 5 tickets. There was a $1.50 processing fee for each ticket. Write and solve
an equation that can be used to find x, the cost of one ticket to the museum. The equation must involve a variable. Show your work or explain your answer.

Answers

Answer: 12.5

Step-by-step explanation:1.50*5=7.5

7.5-70=62.5

62.5 divided by 5 = 12.5

x(5)+1.50=70
-1.50. -1.50
x(5)= 68.5
__ ___
5 5
x=13.7

hope this helps :)

Write in slope-intercept form an equation of the line that passes through the given points. (-1, -1) (1, 5)

Answers

Answer:

Step 1: We need to find the slope (or m) FIRST using slope formula*.

[tex]m = \frac{5 - (-1)}{1 - (-1)}\\\\m = \frac{6}{2} = 3[/tex]

m = 3

Step 2: Now we find the y-intercept (or b) using the slope-intercept formula**, ONE of the 2 points given, and the slope we just found.

[tex]5 = 3(1) + b\\\\5 = 3 + b\\\\2 = b[/tex]

b = 2

Step 3: Now we put it all together we get our equation in slope-intercept form**.

[tex]y = 3x + 2[/tex]

**Slope-intercept form: [tex]y = mx + b[/tex]

*Slope formula: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

please help this is the only question im stuck on

Answers

i think a, bc for the x it’s 2x and the y is +5

helppppppppppppppp plzzzzzzzzzzzzzz

Answers

Answer: 15w

Step-by-step explanation:

Point Y is between the points X and Z. If XY = 3x – 4, YZ = 2x + 3,
and XZ = 24. What is the numerical length of YZ? Use mathematics
to justify your reasoning.

Answers

Answer: YZ = 13

Point Y is between the points X and Z => XY + YZ = XZ

=> 3x - 4 + 2x + 3 = 24

<=> 5x - 1 = 24

<=> x = (24 + 1) : 5 = 5

with x = 5 => YZ = 2.5 + 3 = 13

Step-by-step explanation:

The length of segment YZ can be found using the segment addition

postulate that specifies the relationship between the segments.

The numerical length of YZ is 13

Reasons:

The given location of point Y = Between points X and Z

Length of XY = 3·x - 4

Length of YZ = 2·x + 3

Length of XZ = 24

Required:

The length of YZ

Solution:

XY + YZ = XZ according to segment addition postulate

Therefore;

3·x - 4 + 2·x + 3 = 24

Which gives;

5·x - 1 = 24

5·x = 24 + 1

[tex]x = \dfrac{24 + 1}{5} = 5[/tex]

x = 5

YZ = 2·x + 3

Therefore;

YZ = 2 × 5 + 3 = 13

The numerical length of YZ is 13

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https://brainly.com/question/4710687

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Answers

Answer:

School Y = 4 points

School X = 12 points

Step-by-step explanation:

school x=school y+8

school x=3 school y

x=y+8

x=3y

3y=y+8

2y=8

y=4

x=12

Determine whether the lines with the given slopes are parallel, perpendicular, or neither.

m1= 1/2 & m2= 0.5

Answers

Answer:

The given lines are parallel.

we already know that for parallel condition we apply;

m1=m2

1/2=0.5

0.5=0.5

A quarter of five less than a number is no more than a third of five more than the same number.

Which of the following inequalities fits the description above?

(1 point)

14(x−5)≤13(x+5)

14(5−x)≤13(5+x)

14×5−x≤13×5+x

x−14×5≤x+13×5

Answers

Answer:

I am pretty sure its a... im doing the same thing and i am kinda thinking its that.

Step-by-step explanation:


Find the value of x that makes A||B.

22 = 3x - 20 and 25 = x + 20
x = [?]
Enter

Answers

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[tex]angle \: 2 \: = angle \: 5[/tex]

[tex]3x - 20 = x + 20[/tex]

Add sides 20

[tex]3x - 20 + 20 = x + 20 + 20[/tex]

[tex]3x = x + 40[/tex]

Subtract sides x

[tex] - x + 3x = - x + x + 40[/tex]

[tex]2x = 40[/tex]

Divide sides by 2

[tex] \frac{2x}{2} = \frac{40}{2} \\ [/tex]

[tex]x = 20[/tex]

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As an estimation we are told 5 miles is 8 km.
Convert 30 miles to km.

Answers

Answer:

48km

5miles = 8km

×6 = ×6

30miles= 48km

The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which statement is true?

Each strawberry contains 4 calories.
Each strawberry contains 3 calories.
Twenty-four strawberries contain 6 calories.
Four strawberries contain 15 calories.

Answers

9514 1404 393

Answer:

  Each strawberry contains 4 calories

Step-by-step explanation:

The graph crosses the vertical line for 1 strawberry above the intersection with the horizontal line for 3, so there are more than 3 calories in 1 strawberry. The graph crosses "strawberries = 1" at about "calories = 4", matching the first statement.

Similarly, the graph crosses the vertical line for 4 strawberries above the horizontal line for 15 calories. An estimate of 16 calories for 4 strawberries is consistent with the first statement (4 calories in each strawberry).

The point (6, 24) is on the graph, but it means (6 strawberries, 24 calories), not the other way around.

The appropriate choice is ...

  Each strawberry contains 4 calories

Answer:

its 4 calories, A

Step-by-step explanation:

i just got it right on edge

Simplfy 7xy + 8x + 5xy + 6x

Answers

Answer:

12xy+14x

Step-by-step explanation:

12xy+14x

Hope this helps :3

Answer:

12xy + 14x

Step-by-step explanation:

I believer this is correct


What is the equation of the line?

Answers

Answer:

y=-3x-3

Explanation:

If you do rise over run, you would see it goes down then right making it negative. It goes 3 down and 1 right making the slope -3. It crosses the y axis at -3 so the y intercept is -3. Have a good day

A deer travels at the rate of 42 miles in 6 hours. How many miles does it travel in one hour?

Answers

Answer:

7

Step-by-step explanation:

42/6 = 7

What is the slope of y=-5+4xy=−5+4xy, equals, minus, 5, plus, 4, x?

Answers

Answer:

-5/4

Step-by-step explanation:

The slope of a line y=4x-5 is 4.

The equation of a line is y=-5+4x.

What is slope of a line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)

The standard form of equation of line is y=mx+c

m is a slope of a line and c is y-intercept

Compare the equation y=4x-5 with y=mx+c, we get m=4

Therefore, the slope of a line y=4x-5 is 4.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

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Ben is going to make 1/4 pound burgers for a barbecue next weekend. He is planning on making 19 burgers. How much hamburger meat will he need to make 19 quarter pound burgers?

Answers

Answer:

4.75 pounds of hamburger meat

Step-by-step explanation:

In order to calculate the total amount of hamburger meat that Ben would need we would need to multiply the total number of burgers that he wants to make (19) by the amount of meat each burger will use (1/4 pound or 0.25 pound). Therefore, we would do the following...

19 * 0.25 = 4.75 pounds

Finally, we can see that Ben would need a total of 4.75 pounds of hamburger meat to make 19 equal sized 1/4 pound burgers.

Libby takes a test that has a total possible score of 500. Each question is worth the same number of points. If she misses 4% of the questions, what is her score?

Answers

Answer:

Step-by-step explanation:

We can use the markdown formula to solve this question because it is the same type of problem.

= R x P

1. = 500 x 0.04

= 20

2. 500 - 20

= 480

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Key: R = Percentage Rate P = Original Price

(sinA + cosA)/ (secA + cosecA) = sinA* cosA​

Answers

Answer:

Proof below

Step-by-step explanation:

Trigonometric Identities

We'll prove that:

[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\sin A*\cos A[/tex]

Recall:

[tex]\displaystyle \sec A =\frac{1}{\cos A}[/tex]

[tex]\displaystyle \csc A =\frac{1}{\sin A}[/tex]

Applying those definitions:

[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\frac{\sin A+\cos A}{\frac{1}{\cos A}+\frac{1}{\sin A}}[/tex]

Adding the fractions:

[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\frac{\sin A+\cos A}{\frac{\sin A+\cos A}{\cos A*\sin A}}[/tex]

Dividing the fractions:

[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=(\sin A+\cos A)*\frac{\cos A*\sin A}{\sin A+\cos A}[/tex]

Simplifying:

[tex]\displaystyle \frac{\sin A+\cos A}{\sec A+\csc A}=\cos A*\sin A[/tex]

Hence proved

The proof that UX ≅ SV is shown.

Given: △STU an equilateral triangle

∠TXU ≅ ∠TVS

Prove: UX ≅ SV

Triangle T X V is shown. Point S is on side T X and point U is on side T V. A line is drawn from points S to U to form equilateral triangle T S U. Lines are drawn from point S to point V and from point U to point X and intersect at point W.

What is the missing statement in the proof?

Statement
Reason
1. ∠TXU ≅ ∠TVS 1. given
2. ∠STV ≅ ∠UTX 2. reflex. prop.
3. △STU is an equilateral triangle 3. given
4. ST ≅ UT 4. sides of an equilat. △ are ≅
5. ? 5. AAS
6. UX ≅ SV 6. CPCTC
△SXU ≅ △TVS
△UVX ≅ △SXV
△SWX ≅ △UWV
△TUX ≅ △TSV
Mark this and return

Answers

Answer:

D

Step-by-step explanation:

Edge

Answer:

D

Step-by-step explanation:

Simplify:

√5 ⋅ √12 ⋅ √50

O 10√30


O 10√10


O 7√30


O 7√10

Answers

Answer:

The answer is A 10squareroot of 30

Step-by-step explanation:

hope that helps you

Here is a representation showing the amount of red and blue paint that make 2 batches of purple paint. How many batches are made with 15 cups of red paint?

Answers

Answer:

Step-by-step explanation:

7

compare linear and nonlinear functions

Answers

Answer:
linear functions have no exponents higher than 1, and a graph that looks like a straight line. non-linear functions have at least one exponent higher than 1, and a graph that isn't a straight line.

I hope this helped :)

iven: PA = PC and BA = BC. Use the diagram to find the length described.

Suppose PA = 15 cm and PB = 9 cm. What is the length of AC?

pabc

AC is
cm in length.

Answers

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[tex]BA = BC = 12[/tex]

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[tex]AC = BA + BC[/tex]

[tex]AC = 12 + 12[/tex]

[tex]AC = 24[/tex]

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How much will you get paid if you work 28.5 hours for $7.75 per hour?

Answers

Answer: 28.5 hrs x 7.75 = $220.875
This can be rounded up to $220.90

Hope this helps :)

Answer:

$220.88

Step-by-step explanation:

In ΔMNO, the measure of ∠O=90°, OM = 1.8 feet, and NO = 4.1 feet. Find the measure of ∠M to the nearest degree.

Answers

Answer:

66°

Step-by-step explanation:

tan β = [tex]\frac{4.1}{1.8}[/tex]

β = arctan [tex]\frac{4.1}{1.8}[/tex] ≈ 66°

How do you write 66% as a decimal?​

Answers

Answer:

0.66

Hope this helps!

Answer:

0.66

Step-by-step explanation:

Move the decimal twice to the left whenever you try to convert a percent to a decimal

complete factorization for -20x - 5y

Answers

Answer:

-5 (4x+y)

Step-by-step explanation:

Factor out -5, and -20/-5=4, -5/-5=1.

Please choose all that apply!

Answers

I think b, d and e
Please mark brainlist!

There are
150
150150 students in an eleventh grade high school class. There are
45
4545 students in the soccer team and
35
3535 students in the basketball team. Out of these students, there are
20
2020 who play on both teams.
Let
A
AA be the event that a randomly selected student in the class plays soccer and
B
BB be the event that the student plays basketball. Based on this information, answer the following questions.
What is
P
(
A
)
P(A)P, left parenthesis, A, right parenthesis, the probability that the student plays soccer?

What is
P
(
B
)
P(B)P, left parenthesis, B, right parenthesis, the probability that the student plays basketball?

What is
P
(
A
and
B
)
P(A and B)P, left parenthesis, A, start text, space, a, n, d, space, end text, B, right parenthesis, the probability that the student plays soccer and basketball?

What is
P
(
A
|
B
)
P(A | B)P, left parenthesis, A, start text, space, vertical bar, space, end text, B, right parenthesis, the conditional probability that the student plays soccer given that he or she plays basketball?

Answers

Answer:

P(a)=0.3

P(b)=0.23

P(a&b)=0.13

P(a|b)=0.57

Step-by-step explanation:

Girl can I say this was very hard to read try better next time

By using a venn diagram we can figure out that out of the 150, 45 play soccer, 35 play basketball, 20 play both, 25 play exclusively soccer and 15 play exclusively basketball and 60 students in total play either

Let A be the probability of a student playing soccer and B be the probability of a student playing basketball

P(A)= 45/150

P(B)=35/150

P(A&B)=20/150

P(A|B)= 20/35

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