Mathematics High School

1)
The distance traveled in a car varies directly as the amount of gasoline used. If a car travels 520 miles and uses 26 gallons of gas, find the constant of variation or miles per gallon.

A)
18 mpg


B)
20 mpg


C)
22 mpg


D)
24 mpg

Answers

Answer 1
Hello,

520/26=20mpg 

That vehicle gets 20 mpg.

Hope this helps
Answer 2
The correct answer is B) 20 mpg 
Hope this helps and have a wonderful day!

Related Questions

which graph shows the inequality n>-2

Answers

keep in mind what each sign means.
< less than
> greater than
≤ less than or equal to
≥ greater than or equal to

in this equation it says that "n is greater than -2" so the equation line has to go to the right. and when the equation has the signs < or >, the circle has to be dotted and when the signs are ≤ or ≥ the circle has to be solid.

so the answer is C.

hope this helps, God bless!

A newspaper has more than 30 pages and fewer than 40 pages. The newspaper is divided into sections and each section has 8 pages. How many sections does the newspaper have

Answers

8 * 4  = 32    which is a number in between 30 and 40 
So the newspaper has 4 sections.

Are 2/4 and 20/36 proportional?
And y?

Answers

No, 2/4 and 20/36 are not proportional because reducing 2/4 gives 1/2 (both are divisible by 2) whereas reducing 20/36 gives 5/9 (both are divisible by 4). since 1/2 and 5/9 are not same, 2/4 and 20/36 are not proportional.

In the chemistry lab an experiment requires 500ml of one ingredient to be mixed with 1,000 ml of another. How many liters is the solution

Answers

Hello!

1000 + 500 = 1500

1500 ml = 1.5 litres.

So. 1.5 L is the solution.

I hope this helped you out! :)
Final answer:

After mixing 500 ml with 1,000 ml, the total volume of the solution is 1.5 liters.

Explanation:

To find out how many liters the solution is after mixing 500 ml with 1,000 ml, you simply add the volumes together and convert to liters. First, you have a total volume of 500 ml + 1,000 ml = 1,500 ml. Now, notice that you are going from a smaller unit (milliliters) to a larger unit (liters). Since there are 1,000 milliliters in a liter, you will need to divide by 1,000:

1,500 ml ÷ 1,000 = 1.5 liters.

Therefore, the solution will have a total volume of 1.5 liters.

A quiz consists of 20 multiple-choice questions, each with 5 possible answers. for someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 60 %.

Answers

Final answer:

To find the probability of passing the quiz, we need to determine the minimum number of correct answers needed to achieve a passing grade. The probability of guessing the correct answer for each question is 1/5, so the probability of getting exactly 12 correct answers is calculated using the binomial probability formula.

Explanation:

To find the probability of passing the quiz, we need to determine the minimum number of correct answers needed to achieve a passing grade. Since a passing grade is 60%, this corresponds to 12 correct answers out of 20. The probability of guessing the correct answer for each question is 1/5, so the probability of getting exactly 12 correct answers is given by the binomial probability formula:

P(X = k) = (nCk) * p^k * (1-p)^(n-k)

Using this formula, we can calculate the probability of passing the quiz.

Learn more about Probability here:

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Final answer:

The problem can be solved using binomial distribution principles where the number of trials is the total number of questions (20), success is answering a question correctly, and the probability of success is 1/5 since the answers are guessed randomly. Calculate the cumulative binomial probability for getting 12 (minimum passing grade at 60%) to 20 (total questions) correct answers. This gives the probability of passing the test.

Explanation:

The question asks about the probability of passing a 20 question quiz with each question having 5 possible answers, by making random guesses. To pass the quiz, a grade of 60% is required which means at least 12 questions need to be answered correctly. Since the answers are guessed randomly, the chance of picking the correct answer for each question is 1/5 or 0.2.

We can treat this problem as a binomial distribution problem, where the success is answering a question correctly. In this case, the number of trials is n=20 (the total number of questions), the number of success k is 12 or more (the minimum number of correct answers required to pass), and the probability of success p is 0.2 (since there are 5 multiple choice options per question).

Calculating the cumulative binomial probability for k=12 to n=20, we get the required probability of passing the test. Given that we have to calculate multiple probabilities and sum them, this problem might be easier to solve if you have statistical software or a calculator that can compute binomial distributions.

Learn more about Probability with Binomial Distribution here:

https://brainly.com/question/34143605

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Which statements prove that a quadrilateral is a parallelogram?

Select each correct answer.

Quadrilateral DEFG has one diagonal that bisects the other diagonal.

Quadrilateral DEFG has only one set of opposite angles that are congruent.

Quadrilateral DEFG has two sets of consecutive angles that are supplementary.

Quadrilateral DEFG has one set of opposite sides that are both congruent and parallel.

Answers

First, let's list the properties of parallelograms. *Opposite sides are congruent
*Opposite angles are congruent
*Consecutive angles are supplementary
*The diagonals of a parallelogram bisect each other.

Statement 1: This statement does not prove that the quadrilateral is a parallelogram because both diagonals have to bisect each other and not only one.

Statement 2: A parallelogram has two sets of opposite angles not only one. The statement would prove the quadrilateral is a parallelogram if it said that the quadrilateral has two sets of opposite angles that are congruent.

Statement 3: This statement is a property of a parallelogram. However, it doesn't prove that a quadrilateral is a parallelogram.

Statement 4: This statement proves that the quadrilateral is a parallelogram. If the statement, however, said that the quadrilateral has one set of opposite sides that are only congruent or only parallel, then it would not prove the quadrilateral to be a parallelogram.

The statement "Quadrilateral DEFG has one set of opposite sides that are both congruent and parallel" proves that a quadrilateral is a parallelogram.

A quadrilateral has 4 sides and the sum of interior angles are [tex]360^\circ[/tex] where as the parallelogram is a quadrilateral whose oppposite sides are parallel to each other.

The following statements are:

A). The statement "Quadrilateral DEFG has one diagonal that bisects the other diagonal" is incorrect because both diagonals have to bisect each other.

B). The statement "Quadrilateral DEFG has only one set of opposite angles that are congruent" is incorrect because a quadrilateral is a parallelogram when it has two sets of opposite angles that are congruent.

C). The statement "Quadrilateral DEFG has two sets of consecutive angles that are supplementary" is incorrect although it is a property of parallelogram.

D). The statement "Quadrilateral DEFG has one set of opposite sides that are both congruent and parallel" is correct this statement proves that a quadrilateral is a parallelogram.

For more information, refer the link given below:

https://brainly.com/question/22642276

I need answers to all of these. Please help!! I suck at math..

1) (-4) + (-9) =

2) 5 + (-12) =

3) -6 + 5 =

4) -7 + 7 =

5) Which symbol correctly completes the statement?

-7 + 2 ___ 3 + (-9)

<
>
=

6) Which symbol correctly completes the statement?

4 + (-8) ___ 6 + (-8) + (-6)

<
>
=

7) Your checking account balance is $50. You spend $11 and then deposit $27.

What is your current balance?

$12
$44
$66
$88

8) You currently have a balance of $34 in your checking account. You then write a check for $76 dollars to pay for groceries. Finally, you deposit a check for $30.

What is your new balance?

-$72
-$12
$12
$72

((worth THIRTY points and THE BRAINLIEST answer!!))

Answers

13, -7, -1, 0, <, >, 66, -12
1) (-4) + (-9) = -13

2) 5 + (-12) = -7

3) -6 + 5 = -1

4) -7 + 7 = 0

5) Which symbol correctly completes the statement?

-7 + 2 ___ 3 + (-9)
    -5      >      -6
answer  >

6) Which symbol correctly completes the statement?

4 + (-8) ___ 6 + (-8) + (-6)
   -4       >        -8
answer >

7) Your checking account balance is $50. You spend $11 and then deposit $27.

80 - 11 + 27 = 66
answer

$66

8) You currently have a balance of $34 in your checking account. You then write a check for $76 dollars to pay for groceries. Finally, you deposit a check for $30.

34  - 76 + 30 = -12
answer
-$12

What is x percent of y percent of z, in terms of x, y, and z?

Answers

I think I got 10000x/yz 

Enzo says that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters. Which explains whether Enzo is correct?

Answers

he cannot make a rectangle with those measurements because the base of the rectangle need to be a least more that 1cm bigger than the height other wise its just a square  
The scale drawing is a representative drawing that is supposed to depict the ratio between the sides or dimensions of the actual figure. For example, given that the scale factor is 0.5, the 16 centimeters by 13 centimeters actual drawing should be drawn as 8 cm by 6.5 centimeters. 

help picture attached !!

Answers

7 2/3 divided by 1 1/3 =

= (7 2/3) / (1 1/3)

= (23/3) / (4/3)

= 23/3 * 3/4

= 69/12

= 23/4

= 5 3/4

= 5 9/12

16x=1.6 what is x? please help

Answers

Hello!

The answer is 0.1 because multiplying anything by 0.1 is basically moving the decimal point 1 spot to the left.

Hope this helps! ☺♥
If 16x=1.6, then x=.1

Nolan did the following work to solve the problem -14.52 + 7.3. 14.52 - 7.3 7.22 So, 14.52 - 7.3 = 7.22 Which of the statements is true about his work and answer? His answer is correct. His answer is incorrect, because the answer should be negative. His answer is incorrect, because he didn't line up the decimals.

Answers

He is incorrect because answer should be -7.22
That what I got when I did the math
Hope this helps have a nice day

The true statement is: His answer is incorrect, because the answer should be negative.

What are Integers?

Integers come in three types:

Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)

Given:

Step 1: -14.52 + 7.3

Step 2: 14.52 - 7.3

Step 3: 7.22

So, 14.52 - 7.3 = 7.22

Nolan made a mistake in step 2 because 14.52 is negative and the answer should be negative.

So,  His answer is incorrect, because the answer should be negative.

Learn more about integers here:

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There 20 colored pencils in a box:4 red, 5 green, 10blue , and 1 black. You pick a pencil without looking. What is the sum of the probability of picking a red pencil and the probability of picking a black pencil

Answers

5/20. Simplify 1/4. You just add the number of the desired colors, over the total number.

A box has dimensions of 19 inches long, 1.7 feet wide, and 6 inches high. What is the volume of the box? The formula for the volume is V = l ⋅ w ⋅ h.
a.193.8 cubic inches (in^3)
b.2325.6 cubic inches (in^3)
c.1.35 cubic inches (in^3)
d.16.15 cubic inches (in^3)

Answers

a; 193.8

hope this helps!

Many communities today are concerned with their local government’s ability to appropriately manage the taxes it collects. If a government spends more money on expenditures than it collects in taxes, it may end up with not enough money, called deficit. Which of the following could result in a county government budget in deficit?

a.The government raises sales and property taxes without adjusting expenditures.

b.The county closes a fire station, reducing expenditures, without adjusting taxes.

c.The county gives all public school teachers a $2,000 raise without adjusting taxes.

d.The county collects donations to build a fountain in city hall.

Answers

Answer:

C.The county gives all public school teachers a $2,000 raise without adjusting taxes.

Step-by-step explanation:

100% on edge

The correct answer is Option (C).The county gives all public school teachers a $2,000 raise without adjusting taxes.

What is Budget deficit?A budget deficit occurs when the government spends more than it receives through taxation.

Learn more about the budget deficit here

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What is the value of the function at x=−2?



y=−4

y = 0

y = 2

y = 3

Answers

y = 3

find -2 on the x plane, and match the point, then get your y

hope this helps

Answer:

Option D.

Step-by-step explanation:

If the graph of a function f(x) passes through the point (a,b), then the value of the function f(x) is b at x=a.

[tex]f(a)=b[/tex]

[tex]y=b[/tex]

The graph of a function is given.

We need to find the value of function at x=-2.

From the given graph it is clear that the graph is passes through the point (-2,3).

It means the value of function is 3 at x=-2.

[tex]y=3[/tex]

Therefore, the correct option is D.

write 0.4*0.4*0.4*0.4*0.4 using exponentail nation.

Answers

0.4 is multiplying itself a number of times.
0.4 is the base.
The number of equal factors of 0.4 is 5, so the exponent is 5.

0.4^5

[tex]0.4^{5} [/tex]

Greg is opening a car wash. He estimates his cost equation as C = 9000 + 0.09x and his revenue equation as R = 1.85x, where x is the number of cars washed in a six-month period. Find the number of cars that must be washed in a six-month period for Greg to make a profit.

Answers

9000+0.09x = 1.85x

subtract 0.09x from each side

9000 = 1.76x

divide both sides by 1.76

x = 9000/1.76

x = 5113. 64

 he needs to wash 5114 cars to make a profit.


Two numbers have a difference of 24. What is the sum of their squares if it is a minimum?

288

1156

366

576

Answers

Let "a" and "b" be some number where:

a - b = 24

We want to find where a^2 + b^2 is a minimum.  Instead of just logically figuring out that the answer is where a=b=12, I'll just use derivatives.

So we can first substitute for "a" where a = b+24

So we have (b+24)^2 + b^2 = b^2 +48b +576 + b^2
And that equals 2b^2 +48b +576

Then we take the derivative and set it equal to zero:

4b +48 = 0
4(b+12) = 0
b + 12 = 0
b = -12

Thus "a" must equal 12.

So:
a = 12
b = -12

And the sum of those two numbers squared is (12)^2 + (-12)^2 = 144 + 144 = 288.

The smallest sum is 288.

Chuy wants to buy a new television. The television costs $1,350. Chuy decides to save the same amount of money each week, for 27 weeks. After 8 weeks Chuy saved $440. Which of the following conclusions can you make about Chuy's plan?

a. Chuy has a good plan and will have exactly $1,350 saved at the end of 27 weeks.

b. Chuy must increase the amount he saves each week in order to meet his goal at the end of 27 weeks.

c. Chuy will save more than he needs and will meet his goal in less than 27 weeks.

d. There is not enough information given to make a conclusion about Chuy's plan.

Answers

i would say that the answer is c because with the math done in 27 weeks you wouldve earned 1,485

Answer:

Option C. is correct.

Step-by-step explanation:

Chuy needs $1,350 to buy a  new television.

he decides to save the same amount of money each week for 27 weeks.

In 8 weeks Chuy saved  = $440

In 1 week  Chuy saved $440 ÷ 8 = $43.00

Therfore, in 27 weeks Chuy can save = 43.00 × 27 = $1485.00

Chuy can save $1485.00 in 27 weeks that is more than he needs.

So Option c. would be correct Chuy will save more than he needs and will meet his goal in less than 27 weeks.

AOB and BOC are _____.

complementary angles
supplementary angles
right angles
vertical angles

Answers

The answer is supplementary. 
supplementary angles hope tht helps

Graph the logarithmic equation y= log 5x

Answers

If the problem is with getting the base of 5 for your logarithm then on a TI Calculator you hit the MATH key and then go down to letter A which says logBASE( . Then click on that and it'll let you put a log base of 5. But here's what the graph should look like because it's a logarithm.

Can anybody help me with questions 6-9?

Answers

6.  z=2a-p

7.  w= A/L

8.  w= v/Lh

9.  t= (A-P)/PR

6-9=-4
Good luck!
Have a good mark for this question.

On a separate sheet of paper, graph 3x+6y=18   In the box below, enter the y value when x = 2.

Answers

First, insert 2 in place of x. The equation would be 3*2 + 6y=18
Now, you want to get y alone. 
3*2= 6
6+6y=18
Next, you want to subtract 6 from both sides. Leaving you with, 
6y=12
Divide both sides by 6 and you will be left with...
y=2
x=2y+6.
I believe that this is the right answer is right. Good luck!!

Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After reading for 4 hours, he had 330 pages left to read. how long is the book?

Answers

Answer: There are 550 pages in the book

Explanation:

Since we have given that

Number of pages per hour Naoya read = 55

Number of hours he read the book = 4

Total number of pages he read is given by

[tex]55\times 4=220[/tex]

Still there are some pages are left ,

Number of pages left = 330

So, total number of pages in the book is given by

[tex]330+220=550[/tex]

Hence, there are 550 pages in the book .

Answer:

550 pages 10 hours

Step-by-step explanation:

Solve for x and y please !!

Answers

isosceles triangle
y = 72 yd

x^2 = 72^2 + 72^2
x^2 = 2(72^2)
x = 72√2 yd

since both inside angles are 45, the height and the base would be the same

 the height is 72 yd

 so the base (y) would also be 72 yd

Y = 72


 and x would equal y * sqrt(2)

 so x = 72sqrt(2)


Mr. sharrone can paper a room in 3 hours. his assistant needs 5 hours. if mr. sharrone works 1 hour and then his assistant completes the job alone, how long will it take the assistant to finish the job?

Answers

Mr Sharrone can do 1/3 of the job each hour 
the assistant does 1/5 of the job each hour 

1(1/3) + H (1/5) = 1 (complete job) 
1/3 + 1/5 H = 1 
1/5 H = 1 - 1/3 = 2/3 
H = (2/3) / (1/5) = 10/3 = 3 1/3 hours to complete the job

Someone please help me
Find the value of x .
A) 80
B) 100
C) 130
D)120

Answers

130 +145 +65+160+120 = 620

 the total inside angles for a 6 sided polygon should = 720

 so x = 720-620 = 100

 B is the answer

H(x)=-4x+3;when h(x)=11

Answers

To solve this, since you know that h(x) is 11 and that it also equals -4x+3, you set them equal to one another which would look like this: 11=-4x+3.
Then, to solve for x, which is what I am assuming the question is asking, you would subtract 3 from both sides to isolate -4x, which would result in this:
-4x=8
Now, to solve for x, divide both sides by -4, and you get your answer which is x=-2

Suppose you have two credit cards. The first has a balance of $415 and a credit limit of $1,000. The second has a balance of $215 and a credit limit of $750. What is your overall credit utilization?

Answers

The correct answer is 36%.

Explanation:
You have used a total of 415+215=630. You have a total credit limit of 1000+750=1750. This makes your utilization 630/1750=36%.
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