A truck uses 1 tablespoon of gasoline to drive 125 yards. How many miles can the vehicle travel per gallon?

And hint: there are 256 tablespoons in a gallon

Step-by-step explanation:

$4.25×1 1/4=$4.25/1×5/4=$21.25/4=$5.25

Answer:it would cost 5.25

Step-by-step explanation:

Answer:

3/15/8=2/1.25

Step-by-step explanation:

Answer:

see attached work shown

Explanation:

For reasons unknown, Brainly gets bent by the use of "f(x)". So, an appropriate answer cannot be posted as text. I have posted it as attached pictures.

The expression f(f^-1(x)) represents the composition of a function and its inverse, which always returns the original input x.

The expression f(f^-1(x)) involves the composition of a function and its inverse. A function composed with its inverse will always yield the original input, this property is fundamental in the concept of inverse functions. So f(f^-1(x)) will equal x in all and every case.

The reason why this is the case can be visualized by the definition of an inverse function. Given a function f(x), the inverse function f^-1(x), by definition, undoes the operation of f(x). This means that, if we apply f(x) and then apply f^-1(x), we will come back to our starting point.

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Answer:

Step-by-step explanation:

y = x - 6

to find the inverse, switch x and y and solve for y

x = y - 6

x + 6 = y...rearrange

y = x + 6 <== ur inverse

The inverse of the equation y = x - 6 is achieved by swapping x and y and then solving for y. This results in the equation y = x + 6, which is the inverse function.

The function that is the inverse of y = x - 6 can be found by switching the x and y in the equation, then solving for y. By performing this operation:

1. Switch x and y: x = y - 6

2. Solve for y: y = x + 6

Therefore, the inverse function of y = x - 6 is y = x + 6.

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Answer:

first multiply length×width×height,of the carton

8×8×4=256

then multiply length×width×height for boxes

2×1×1=2

divide 256 by 2

256÷2=128

Answer:

Step-by-step explanation:

x

Use a table of values to graph the equation.

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y

First one.

y = -2x + 3

5x - (-2x + 3) = 11

y = -2x + 3

5x + 2x - 3 = 11

//

7x = 14

x = 2

y = - 2(2) + 3 = - 4 + 3 = - 1.

One x, one solution.

Answer: He needs 3 stripes.

Final answer:

To cover the perimeter of a 14 feet by 10 feet room, Jim will need 3 strips of wallpaper border as the total perimeter is 48 feet and each wallpaper strip is 20 feet long.

Explanation:

To determine how many strips of wallpaper border Jim will need for his rectangular room, we need to calculate the total perimeter of the room. The formula for the perimeter of a rectangle is:

Perimeter = 2 × (Length + Width)

For Jim's room:

Perimeter = 2 × (14 feet + 10 feet)

Perimeter = 2 × 24 feet

Perimeter = 48 feet

Now, we know each strip of wallpaper is 20 feet long, so we divide the total perimeter by the length of one strip:

Number of strips needed = Total Perimeter ÷ Length of one strip

Number of strips needed = 48 feet ÷ 20 feet

Number of strips needed = 2.4

Since Jim cannot purchase a fraction of a strip, he will need to buy 3 strips of wallpaper border to cover the entire perimeter of his room.

Note: It's assumed that there's no significant wastage when the wallpaper strips are applied, and the strips are used efficiently.

Answer:

The greatest number of stamps that Nathan can put on each page = 16.

Step-by-step explanation:

Given:

Nathan has:

80 US stamps

64 Canadian stamps

32 Mexican stamps

The stamps need to put on a page such that each page has same number of same country stamps on each page.

To find the greatest number of stamps he can put on each page.

Solution:

In order to find the greatest number of stamps Nathan can put on each page, we will find the G.C.F. of the three numbers.

The numbers are:

[tex]80,64,32[/tex]

We will list down the prime factors of each number.

[tex]80=2\times 2\times 2\times 2\times 5[/tex]

[tex]64=2\times 2\times 2\times 2\times 2\times 2[/tex]

[tex]32=2\times 2\times2\times 2\times 2[/tex]

The G.C.F can be given as = [tex]2\times 2\times 2\times 2[/tex] = 16

Thus, the greatest number of stamps that Nathan can put on each page = 16.

Answer:

7x-7

Step-by-step explanation:

6x-(-x) double negative --> add

7x

-2-5= -7

Answer:

7x-7

Step-by-step explanation:

Let's simplify step-by-step.

6x−2−(−x+5)

Distribute the Negative Sign:

=6x−2+−1(−x+5)

=6x+−2+−1(−x)+(−1)(5)

=6x+−2+x+−5

Combine Like Terms:

=6x+−2+x+−5

=(6x+x)+(−2+−5)

=7x+−7

Step-by-step explanation:

$46,000×100=$4,600,000

To find the total earnings from 100 shows for One Direction making $46,000 per show, multiply the earnings per show by the number of shows to get $4,600,000.

The total earnings from 100 shows for One Direction can be calculated by multiplying the earnings per show by the number of shows.

Given that they make $46,000 per show, the total earnings after 100 shows would be $46,000 x 100 = $4,600,000.

Therefore, One Direction would make $4,600,000 after 100 shows.

Answer:

A

Step-by-step explanation:

By leaf plot...

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

Explanation:

The first row has a stem of 1 and a leaf of 6. The stem and leaf combines to 16. For this problem, the stem will always be the tens digit while the leaf values will be the units digit. If there are multiple leaves for a given row, then we use the same stem value.

In row 2, we have "2" as the stem and multiple leaves. The first three leaves for this row are {2, 2, 5}. They pair up with the stem to form the values 22, 22, 25.

So far the data set is 16, 22, 22, 25. Only choice C has this sequence of values at the start of it. Choice B comes close, but it does not have a second copy of 22. So we cross choice B off the list. Choice D is off the list because the first value '5' is not represented on the stem and leaf plot (the stem would be 0 to represent the value 05 which is just 5). Choice A is false for similar reasons.

Answer:

y<5/3x-3 or D.

Step-by-step explanation:

took the test :)

The inequality y < 5/3 x - 3 represents the graph so option (D) will be correct.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

Given the inequality,

y < 5/3 x - 3

For x = 0

y < -3 it means graph should be decreased from (-3,0).

For y = 0

x > 9/5

x > 1.8

It means the graph should increase from (1.8,0).

Since this inequality is represented so it will be correct.

Hence "The inequality y < 5/3 x - 3 represents the graph".

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The value of W is 0.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations that are formed according to rules which is dependent on the context.

for example, a+23 = 105, a²+b²+10a =100, etc.

12×1= 12+W​

W = ?

[tex]12\times 1= 12+W\\12 = 12+W\\12-12 = W\\W =0[/tex]

Hence, the value of W is 0.

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Answer with Explanation:

"Response Bias" refers to a pattern consisting of incorrect responses. Sometimes the question's way of wording may contribute to such kind of bias in responses. One question that could lead to a response bias is asking with the use of leading questions.

This kind of question unduly favors the other option. Thus, the response would be biased.

Another situation which may lead to a response bias is the lack of privacy when answering survey questions. The respondent will feel pressured while being monitored, thus leading to a biased response. They will also choose the option that they think are socially acceptable.

Another example is providing respondents a scale of 1-5, when it comes to restaurant service. It becomes natural for them to choose the extremes, which are 1 and 5. These responses are mostly affected by a person's culture.

Answer: $28.80

Step-by-step explanation:

Answer: $30.00

Step-by-step explanation:

Because of he wants to buy 12 and they cost 2.40 then you multiply both of the 12 ans 2.40 and you get 28.8. Round it up to 30.00.

Answer:

D) 8

Step-by-step explanation:

You multiply 10 by 12 to get 120 so you multiply x by 12 to get 96.

96 = 12x

/12     /12

8   =   x

Answer:

the answer in D

Step-by-step explanation:

i just took the test and it was correct :)

The correct answer is option D. -39.6 ÷ (- 4.8) = 8.25

Canceling out is a mathematical process used for removing subexpressions from a mathematical expression when this removal does not change the meaning or the value of the expression because the subexpressions have equal and opposing effects.

Conclusion: The plus and minus signs, + and −, are mathematical symbols used to represent the notions of positive and bad, respectively. in addition, + represents the operation of addition, which results in a sum, while − represents subtraction, resulting in a difference.[1] Their use has been extended to many other meanings, more or less analogous. Plus and minus are Latin terms meaning "more" and "less", respectively.

When you see the other option you will find even after the cancelation of the minus sign the end results have either a faulty positive or negative sign.

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The correct expression to simplify is:

[tex]1+4.25n + 3/2p -3+(-2p)+5/4n[/tex]

Answer:

[tex]5.5n-1/2p-2[/tex]

Explanation:

1. Given expression:

[tex]1+4.25n + 3/2p -3+(-2p)+5/4n[/tex]

2. Group like terms:

[tex](1-3)+(4.25n+5/4n)+(3/2p-2p)[/tex]

3. Simplify:

[tex]-2+5.5n-1/2p=5.5n-1/2p-2[/tex]

Answer:

56cm^2

Step-by-step explanation:

The area of triangle is found by multiplying height to the base and that divided by two

(h × b)÷2 ➡ (8×14)÷2 = 56

Answer: 5/6

Step-by-step explanation:

All we need do is to try to change 50 minutes to hour.

Remember that 60 minutes make 1 hour , so we need to find 50 minutes out of 1 hour , that is 50 minutes out of 60 minutes. Which is 50/60. Therefore:

50 minutes is 50/60 fraction of an hour

50/ 60 is the same as 5/6 in reduced form

Answer:

Step-by-step explanation:

1hour is 60minutes

= 50/60

= 5/6

Answer:

b = -8

Step-by-step explanation:

crossmultiply

Answer:

N(number of songs) times 0.99 equals to 7.92. N×0.99=7.92

n= number of songs

product=*

n*0.99=7.92

if you need the answer it would be 6.93

Answer: x = -9

Step-by-step explanation: 6x + 4(3) = 8( x + 4) -2

0pen brackets and collect like terms,

6x + 12 = 8x + 32 -2

collect the like term

6x + 12 = 8x + 32  -2

6x -8x = 32 -2 - 12

-2x = 18, divide through by  -2

Therefore x = -9

Answer:

7 , Monday, Tuesday, Wednesday, Thursday, Friday, then you have you r weekend Saturday, Sunday, then you restart the week . :)

Step-by-step explanation:

Answer:

7 days in 1 week

Step-by-step explanation:

Count the days. (Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday)

Answer:

-4x + 29

Step-by-step explanation:

Answer:

The correct option is last one  77 degrees.

Therefore the measure angle W is 77 degrees.

Step-by-step explanation:

Given:

Exterior angle = 122°

∠W = (2x-13)°

∠Y= x°

To Find:

∠W = (2x-13)° = ?

Solution:

Exterior Angle Property:

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

Angle W and Angle Y are the interior angles of Exterior angle 122°.

∴ [tex]Exterior\ angle=m\angle W+m\angle Y[/tex]

Substituting the values we get

[tex]122=2x-13+x\\3x=135\\\\x=\dfrac{135}{3}=45\\\\x=45[/tex]

Now Substitute 'x' in angle W we get

[tex]m\angle W=2\times 45 -13=77\°[/tex]

Therefore the measure angle W is 77 degrees.

Answer:

77 is the answer

Step-by-step explanation:

Surface area of a cube = 486 square inches

Solution:

Given each side of a cube = 9 inches

Net of a cube has 6 squares.

Area of square = side × side

Area of 1 square = 9 × 9 = 81 square inches

Surface area of a cube = Area of 6 squares

                                      = 6 × (side × side)

                                      = 6 × 81

                                      = 486 square inches

Hence, surface area of a cube is 486 square inches.

Answer:

255

Step-by-step explanation:

234+(564-543)

234+(21)

234+21

255

Answer:

x=7

Step-by-step explanation:

7+7+7=3*?

7+7+7 is basically 3 sevens, which is equivalent to 3*7 or 7*3. So x=7.

Answer:

x=7

Step-by-step explanation:

7+7+7=3x

14+7=3x

21=3x

x=21/3

x=7