A car travels 351 miles on 13 gallons of gas. What is the number of miles driven per gallon of gas?

a. 24 mpg
b.27 mpg
c. 29 mpg
d. 28 mpg

Answer:27

Step-by-step explanation:

Answer:

1/2x + y = 4

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Slope-Intercept Form:   y = -1/2x + 4

Step 2: Find Standard Form

And we have our final answer!

Answer:

1/2x+y=4

Step-by-step explanation:

Standard form for linear equation is Ax+By=C

Answer:

she now has 36 inches of ribbon

Step-by-step explanation:

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Answer:

36 inches of ribbon

Step-by-step explanation:

5x4=20 20+16=36

Answer:

sdfcvnfkfnfndhxbxbb

jfjdjdnxnnjuhvun9

Step-by-step explanation:

dhdbdbbddnxn

Answer:

The answer is "98".

Step-by-step explanation:

In this question, the chart is missing, and by searching the question we find the correct choice, which is defined in the answer part.

Answer:

The answer is "98".

Step-by-step explanation:

In this question, the chart is missing, and by searching the question we find the correct choice, which is defined in the answer part.

Answer:

Step-by-step explanation:

14628

Answer: It could be B.

Step-by-step explanation:

Answer:

Factoring the expression [tex]76d-24[/tex] using the GCF we get [tex]\mathbf{4(19d-6)}[/tex]

Step-by-step explanation:

We need to factor the expression using the GCF : [tex]76d-24[/tex]

GCF stands for greatest common divisor.

We need to find the greatest number that is divisible by both terms.

The greatest number that is divisible by both terms is 4

So, Now factoring the term:

[tex]76d-24\\=4(19d-6)[/tex]

So, factoring the expression [tex]76d-24[/tex] using the GCF we get [tex]\mathbf{4(19d-6)}[/tex]

Answer:

Need more info

Step-by-step explanation

Answer:115.6

Step-by-step explanation:

Answer:

x = 2

Explanation:

[tex]\frac{3x-1}{5} =\frac{x+1}{3}[/tex]

First, make sure they both have common denominators ( 15 )

5 × 3 = 15 and 3 × 5 = 15

Whatever you do to the denominator you have to apply to the numerator. So, multiply the numerator and denominator of the first fraction by 3.

[tex]\frac{3*(3x-1)}{3*5}[/tex] = [tex]\frac{3(3x-1)}{15}[/tex]

Next, multiply the numerator and denominator of the second fraction by 5.

[tex]\frac{5*(x+1)}{5*3}[/tex] = [tex]\frac{5(x+1)}{15}[/tex]

Now we have: [tex]\frac{3(3x-1)}{15} =\frac{5(x+1)}{15}[/tex]

Use distributive property on the numerators of both fractions.

[tex]\frac{9x-3}{15} =\frac{5x+5}{15}[/tex]

Since the denominators are equal we can ignore them for now and find x.

9x - 3 = 5x + 5

We need to move like terms to different sides to isolate x. First, we can subtract 5x from both sides.

9x - 5x - 3 = 5x - 5x +5

4x - 3 = 5

Then, we can add 3 to both sides to cancel out the -3.

4x - 3 + 3 = 5 + 3

4x = 8

Finally, to find x we divide both sides by 4.

4x ÷ 4 = 8 ÷ 4

x = 2

Answer:

6

Step-by-step explanation:

if you do the ratio 9/12 and 3/x and cross multiply, x=6... I believe

Because

Answer:

yes its a rational number.

Step-by-step explanation: your welcome

Answer:

1) y = $10 + $2x

2) independent variable is the number of rides (x)

3) dependent variable in this equation is the total cost (y)

Step-by-step explanation:

In this scenario, we have two fixed values and two variables which would be the number of rides (x) and the total cost (y). Therefore, since the entrance fee is a fixed value it is added to the cost of each ride which is multiplied by the number of rides represented by the variable (x).

y = $10 + $2x

In this equation, the independent variable is the number of rides (x) because it is a separate value from the equation and does not depend on any other value. The dependent variable in this equation is the total cost (y) which depends on the number of rides that the individual goes on in order to have its own value.

Answer:

255,777

Step-by-step explanation:

290,500 - 34,723 = 255,777

Answer:

The sum of the arithmetic progression is 51

The sum of the remaining terms is 28

Step-by-step explanation:

Sum of terms of an arithmetic progression

Being a1 the first term of an arithmetic progression, an its last term, and n the number of terms, the sum of all terms is calculated as:

[tex]\displaystyle S_n=\frac{a_1+a_n}{2}\cdot n[/tex]

We are given the progression:

1,4,7,10,13,16

We need to check if the list of numbers is a progression. The difference between consecutive terms must be equivalent.

Since:

4 - 1 = 3

7 - 4 = 3

10 - 7 = 3

And the rest of the differences also result in 3, the series of numbers has a common difference of 3.

The progression has the following parameters:

a1=1, an=16, n=6

Let's find the sum:

[tex]\displaystyle S_6=\frac{1+16}{2}\cdot 6[/tex]

[tex]\displaystyle S_6=\frac{17}{2}\cdot 6[/tex]

[tex]S_6=51[/tex]

The sum of the arithmetic progression is 51

If we removed the terms 7 and 16, the new sum is:

51 - 7 - 16 = 28

The sum of the remaining terms is 28

Answer:

no your answer is correct :)

Answer:

21 , 49

Step-by-step explanation:

Answer:

n=-6/4

Step-by-step explanation:

4n+40=34

-40. -40

4n=-6

divide by sides by 4

so n equals -6/4

Answer:

(sin(t)+cos(t))^2=sin^2(t)+cos^2(t)+2sin(t)cos(t)=1+sin(2t)\\


Step-by-step explanation:

hopefully this helps!

Answer:

What is the situation?

Step-by-step explanation:

Answer:

What do you need my guy

Step-by-step explanation:

Talk in the chat below.

Answer:

First blank would be 25, Second blank would be 75.

Step-by-step explanation:

In order to figure out the blanks, we must figure out the original function first.

How do we do that?

-> we put in the points that we already have- in to equation:

    y = ax + b

If we put the 6, 10 in to x, y , we would get :

10 = 6a + b

If we put the 12, 20 in to x, y , we would get :

20 = 12a + b

because these share the "+b" they can be subtracted.

           10   = 6a + b

-           20 = 12a + b

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

and this would be :

-10 = -6a, a = 5/3.

we can partly complete the equation.

y = 5/3x + b, and by putting in the numbers, we can figure out that b=0.

The full equation have : y = 5/3x

now, put 15 and 45 in to the x and see what you get!

y=25, 75

Have a nice day :)

Answer:

28.27

Step-by-step explanation:

Answer: 10w+5

Step-by-step explanation:

Step One- Simplify step by step.

5w(2)-6+11

10w+-6+11

Step Two- Combine Like Terms.

10w+-6+11

(10w)+(-6+11)

10w+5=Answer.

Answer:

obtuse

Step-by-step explanation:

as one angle is bigger than 90°

Answer:

B

Step-by-step explanation:

I used substitution to solve this system. I'll run through all of my steps below:

[tex]4x+7y=85\\x=2y-5[/tex]

I'm going to replace the 'x' values in the first equation with the entire second equation.

[tex]4(2y-5)+7y=85[/tex]

[tex]8y-20+7y=85\\15y-20=85\\15y=105\\y=7[/tex]

Now that we know what y equals, we can go back and solve for x.

[tex]x=2(7)-5\\x=14-5\\x=9[/tex]

Hope this helps!

Answer

HOPFULLY THE EXPLANATION HELPS IF NOT JUST LOOK UP square root of 40???

6.324555320

Step-by-step explanation:

Here we will define, analyze, simplify, and calculate the square root of 40. We start off with the definition and then answer some common questions about the square root of 40. Then, we will show you different ways of calculating the square root of 40 with and without a computer or calculator. We have a lot of information to share, so let's get started!

Square root of 40 definition

The square root of 40 in mathematical form is written with the radical sign like this √40. We call this the square root of 40 in radical form. The square root of 40 is a quantity (q) that when multiplied by itself will equal 40.

√40 = q × q = q2

Is 40 a perfect square?

40 is a perfect square if the square root of 40 equals a whole number. As we have calculated further down on this page, the square root of 40 is not a whole number.

40 is not a perfect square.

Is the square root of 40 rational or irrational?

The square root of 40 is a rational number if 40 is a perfect square. It is an irrational number if it is not a perfect square. Since 40 is not a perfect square, it is an irrational number. This means that the answer to "the square root of 40?" will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.

√40 is an irrational number

Can the square root of 40 be simplified?

You can simplify 40 if you can make 40 inside the radical smaller. We call this process "to simplify a surd". The square root of 40 can be simplified.

√40 = 2√10

How to calculate the square root of 40 with a calculator

The easiest and most boring way to calculate the square root of 40 is to use your calculator! Simply type in 40 followed by √x to get the answer. We did that with our calculator and got the following answer with 9 decimal numbers:

√40 ≈ 6.324555320

How to calculate the square root of 40 with a computer

If you are using a computer that has Excel or Numbers, then you can enter SQRT(40) in a cell to get the square root of 40. Below is the result we got with 13 decimals. We call this the square root of 40 in decimal form.

SQRT(40) ≈ 6.3245553203368

What is the square root of 40 rounded?

The square root of 40 rounded to the nearest tenth, means that you want one digit after the decimal point. The square root of 40 rounded to the nearest hundredth, means that you want two digits after the decimal point. The square root of 40 rounded to the nearest thousandth, means that you want three digits after the decimal point.

10th: √40 ≈ 6.3

100th: √40 ≈ 6.32

1000th: √40 ≈ 6.325

What is the square root of 40 as a fraction?

Like we said above, since the square root of 40 is an irrational number, we cannot make it into an exact fraction. However, we can make it into an approximate fraction using the square root of 40 rounded to the nearest hundredth.

√40

≈ 6.32/1

≈ 632/100

≈ 6 8/25

What is the square root of 40 written with an exponent?

All square roots can be converted to a number (base) with a fractional exponent. The square root of 40 is no exception. Here is the rule and the answer to "the square root of 40 converted to a base with an exponent?":

√b = b½

√40 = 40½

How to find the square root of 40 by long division method

Here we will show you how to calculate the square root of 40 using the long division method with one decimal place accuracy. This is the lost art of how they calculated the square root of 40 by hand before modern technology was invented.

Step 1)

Set up 40 in pairs of two digits from right to left and attach one set of 00 because we want one decimal:

40 00

Step 2)

Starting with the first set: the largest perfect square less than or equal to 40 is 36, and the square root of 36 is 6. Therefore, put 6 on top and 36 at the bottom like this:

6  

40 00

36    

Step 3)

Calculate 40 minus 36 and put the difference below. Then move down the next set of numbers.

6  

40 00

36    

4 00  

Step 4)

Double the number in green on top: 6 × 2 = 12. Then, use 12 and the bottom number to make this problem:

12? × ? ≤ 400

The question marks are "blank" and the same "blank". With trial and error, we found the largest number "blank" can be is 3. Now, enter 3 on top:

6 3  

40 00

36    

4 00  

That's it! The answer is on top. The square root of 40 with one digit decimal accuracy is 6.3.

Answer:

20

Step-by-step explanation:

i think

Answer:

Step-by-step explanation:

Volume of the rectangular box = x²h

Surface area  S = x²+4xh

x is the side length of the square base

h is the height

Given

Surface area = 1200cm²

Substitute into the formula S = x²+4xh

1200 = x²+4xh

From V = x²h

h= V/x²

1200 = x² + 4x (V/x² )

1200 = x² + 4V/x

1200x = x³ + 4V

1200x - x³ = 4V

V = 1200x/4- x³/4

V = 300x - x³/4

To maximize the volume, dV/dx = 0

dV/dx = 300 -3x²/4

0 =  300 -3x²/4

0 = 1200 - 3x²

3x² = 1200

x² = 400

x = 20cm

Since 1200 = x²+4xh

1200 = 400+80h

80h = 1200-400

80h = 800

h = 10cm

Find the volume;

Volume = 400 * 10 Volume -= 4000

Hence the maximum volume of the box in cubic cm is 4000 cm³