An automobile uses 17 gal of fuel to go to 590mi. How many gallons are required to travel 870mi? (Round your answer to one decimal)

Answers

Answer 1

Answer:

[tex]Gallons = 27.95[/tex]

Step-by-step explanation:

Given

[tex]Gallons : Miles = 17:590[/tex]

Required

Determine the number of gallon for 870 miles

To do this, we simply substitute 870 for miles in the ratio above

So, we have:

[tex]Gallons : 870= 17:590[/tex]

Convert to fraction

[tex]\frac{Gallons}{870} = \frac{17}{590}[/tex]

Multiply through  by 870

[tex]870 * \frac{Gallons}{870} = \frac{17}{590}*870[/tex]

[tex]Gallons = \frac{17}{590}*970[/tex]

[tex]Gallons = \frac{17*970}{590}[/tex]

[tex]Gallons = \frac{16490}{590}[/tex]

[tex]Gallons = 27.95[/tex]


Related Questions

x% of 31 is 3.317, 4,407 is 39% of y

Answers

Answer:

x=10.7, y=11300

Step-by-step explanation:

x%of 31 = 3.317

x/100×31=3.317

31x/100=3.317

31x= 3.317×100

x= 3.317 ×100/31

x =10.7

4407= 39% of y

4407= 39/100 × y

4407 =39y/100

4407×100=39y

4407 × 100/39=y

11300=y

Perform the induced operation
(-7x+1)+(- 2x2 + 7x + 8) =

Answers

Answer:

-2[tex]x^{2}[/tex] + 9

Step-by-step explanation:

   0[tex]x^{2}[/tex] + (-7x) + 1

+ -2[tex]x^{2}[/tex]  + 7x + 8

  -2[tex]x^{2}[/tex] + 0x + 9

or

-2[tex]x^{2}[/tex] + 9

 

PLEASE HELP WITH ALL IT WOULD BE NICE IF YOYU WOULD

Answers

I can do the first 8
1. 12
2. 15
3. 13
4. 60
5. 56
6. 13
7. 27
8. 90

What is -20 + 1/2 in a decimal form

Answers

Answer: The answer is -19.5

Step-by-step explanation: This is because 1/2 is .5 in decimal form. A negative PLUS a positive = is negative since the -20 is larger than .5

Answer:

the answer would be -19.5 :)

Step-by-step explanation:

A 30 -foot ladder is leaning against a building. The base of the ladder is 18 feet from the side of the building. How high does the ladder reach along the side of the building?

Answers

Answer:  24 feet

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

Explanation:

Refer to the diagram below. We have a right triangle with known horizontal leg 18, and unknown vertical leg x. The hypotenuse is 30.

Let a = x, b = 18, c = 30.

Apply the Pythagorean theorem to solve for x

a^2 + b^2 = c^2

x^2 + 18^2 = 30^2

x^2 + 324 = 900

x^2 = 900-324

x^2 = 576

x = sqrt(576)

x = 24

The top of the ladder reaches 24 feet high.

Find the difference. Enter your answer in simplest terms, using the slash (1)
as the fraction bar.
5/8 - 1/3 =?

Answers

Answer:

the difference between 5/8 and -1/3

is that  if you divide 5/8 = 0.625

and -1/3= -0.333333333

If 2^3x-1 = 32 then x = (image included)
a. 5
b. -2
c. 2
d. 4/3
e. -4

Answers

Answer:

x is equal to two.

Step-by-step explanation:

We know that 32 is a power of 2.  It is in fact two to the power of five.  So we can re-express that as:

[tex]2^{3x - 1} = 2^5[/tex]

Because they have the same constant as a base, we can toss the base altogether, and equate the exponents:

[tex]3x - 1 = 5\\3x = 6\\x = 2[/tex]

Draw 2 lines to cut each triangle into the given shapes. 1 pentagon and 2 triangles

Answers

Answer:

cut the two lines at the corner, don't let the lines touch

Step-by-step explanation:

Two lines are drawn at corner of a big triangle and lines should not touch each other

Pentagon & TriangleAny quadrilateral which has five sides is known as pentagonAny quadrilateral which has three sides is known as triangle

What are the steps to draw?

Steps to draw the Pentagon & Triangle are as follow:

First draw one big triangleAfter that from right corner of big triangle mark point on two sides of triangle and draw line passing through this pointsRepeat step 2 from left corner

So two triangle and one pentagon is produced

Learn more about Pentagon & Triangle here:

https://brainly.com/question/19596085

#SPJ2

if i earn 5 dollars every 8 mins 20 sces how long until i get 2,700 will mark brainliest URGENT

Answers

Answer:

75 Hours

Step-by-step explanation:

First, you'd have to find out how many times 5 dollars can fit into 2700 dollars. You'd simply just divide 2700 by 5. You will get 540.

Next, multiply 8 minutes and 20 seconds by 540. We know that 20 seconds is a third of a minute, so we'll convert 8 minutes and 20 seconds to 8.33 (repeated) minutes.

8.33 (repeated) multiplied by 540 will give you 4500 minutes.

Next, just divide 4500 minutes by 60, and you'll get 75 hours.

Convert the following angle from degrees, minutes and seconds into decimal degrees.
Round to the nearest hundredth Do NOT include the degree symbol only write the
final number.
78°33'51"

Answers

78.564° is the correct answer. Hope it helps ❤️

Use the distributive property to remove the parentheses.
-4(-6y + 2w-4)

Answers

Answer: 24y - 8w + 16

Step-by-step explanation:

Basically to remove the parenthesis you just distribute the -4 outside of the parenthesi and you get 24y - 8w + 16.

what is the sum of the sequence 4 + 9 + 14 + 19 + 504​

Answers

Answer:

550

Step-by-step explanation:

using my brain

Answer:

550

Step-by-step explanation:

common sense.........

Use the graph below to determine the number of solutions the system has.
y = -3 and x = 4


(a) one

(b) two

(c) no solution

(d) infinitely many

Answers

the correct answer would be the last option D

Math practice
Will give brainest if correct

Answers

Answer:

x > 24

Step-by-step explanation:

12 + 12 = 24


help pls due today thanks

Answers

Answer:

4

Step-by-step explanation:

11.2/2.75=4.07272(repeating number)

Answer:

11 1/5 divided by 2 3/4:

11 1/5 is a bit less than 12, and 2 3/4 is a bit less than 3

The answer, therefore, should be fairly close to 12 ÷ 3

12 ÷ 3 is 4

Answer is 4

Step-by-step explanation:

here ya go bub! (pls mark me brainlest)

HELP ME EASY THINKING PROBLEM 20 POINTS

Answers

do you move the 6 for the 2?

Step-by-step explanation:

I'm sorry if its wrong

have a good day!

In the diagram, ABC ~ DEF. The area of ABC is 72 square cm. Find the area of DEF.
А
6 cm
B
20 cm
m
Area of DEF
cm

Answers

Answer:

120

Step-by-step explanation:

just do 20x 6 and you get 120

Similar triangles may or may not be congruent

The area of triangle DEF is 800 square cm

The given parameters is

[tex]\triangle ABC \sim \triangle D EF[/tex]

This means that the triangles are similar.

The corresponding sides of the triangles are:

[tex]AC = 6[/tex]

[tex]DF = 20[/tex]

So, the scale factor (k) from ABC to DEF is:

[tex]k = \frac{D EF}{ABC}[/tex]

[tex]k = \frac{20}{6}[/tex]

Simplify

[tex]k = \frac{10}{3}[/tex]

The area of triangle DEF is then calculated as follows:

Area = Area of triangle ABC * k^2

So, we have:

[tex]A =72 \times \frac{10}{3} \times \frac{10}{3}[/tex]

[tex]A = 800[/tex]

Hence, the area of triangle DEF is 800 square cm

Read more about similar triangles at:

https://brainly.com/question/14285697

Jina wanted to study how the area of a rectangle changes with the length if it’s width is fixed. She computed the areas of several rectangles that have the same width and different lengths. She then employed the results and connected them with a line, as shown in the picture. The graph shows the area (in m2) versus the length (in m)
Find the range and domain for the functions shown.
(A). Domain:
(B). Range:

Answers

Answer:

The domain and the range of the function are, respectively:

[tex]Dom\{f\} = [0\,m,5\,m][/tex]

[tex]Ran\{f\} = [0\,m^{2}, 10\,m^{2}][/tex]

Step-by-step explanation:

Jina represented a function by a graphic approach, where the length, measured in meters, is the domain of the function, whereas the area, measured in square meters, is its range.

[tex]Dom\{f\} = [0\,m,5\,m][/tex]

[tex]Ran\{f\} = [0\,m^{2}, 10\,m^{2}][/tex]

Answer:

Step-by-step explanation:

please help me for this question:​

Answers

24|5
25|0, 1, 3, 8
26|4, 7, 9
27|3, 6
key in bottom right
24|5 means 245

1. What is the 15th partial sum of the geometric sequence {262,144; 32,768; 4,096; 512; ..)? Round to the nearest whole number, if needed.

Answers

use the calculator 2949472

7.43+9.25 Show Your Work

Answers

Answer:

16.68

Step-by-step explanation:

just add them like regular numbers then just put the decimal

what is the slope-intercerpt form of the equation -8x+2y=4

Answers

Answer:

y= 4x +2

Step-by-step explanation:

Slope-intercept form is y= mx +c.

Thus, rewrite the equation to make y the subject of formula.

-8x +2y= 4

Let's simplify the equation first by dividing both sides by 2.

-4x +y= 2

+4x on both sides:

y= 4x +2

Which Expressions are equivalent to:
3(2/3p + 3 - 1/3p - 5)
Picture is provided

Answers

Answer:

the answers are p - 6, 3 (1/3p + 3 - 5), and 3 (1/3p - 2)

Answer:

3 (1/3p+3-5), p-6, 3(1/3p-2)

Step-by-step explanation:

I did the iready quiz and got it correct.

4(-3)(-2)
How do
I do this?

Answers

Answer:

4(-3)(-2) = 24

Step-by-step explanation:

first solve the numbers in parenthesis.

4(-3)(-2)

= 4(6)

the negative sign cancels out in the product, because both of the numbers you multiplied are negative, which makes the product positive.

now solve for 4(6).

4(6) = 24

HELP MWAH WITH YOURS TRULYS MATH

Answers

Answer:

its 1/2

Step-by-step explanation:

because 1/2 of 10/10 is 5/10

Answer:

1

Step-by-step explanation:

[tex]\frac{5}{10}[/tex]= 0.5

[tex]\frac{1}{2}[/tex]= 0.5

therefore making them equivilant

answered
A swimming pool containing 2000l of water is 1/16 full. How many litres of water is required to make the pool half full

1
SEE ANSWER

Answers

Answer:

16,000 liters

Step-by-step explanation:

Assuming the pool does not curve in any direction and is a big box with 90° corners:

1/16. 2,000 liters

2/16. 4,000 liters

3/16. 6,000 liters

4/16. 8,000 liters

5/16. 10,000 liters

6/16. 12,000 liters

7/16. 14,000 liters

8/16. 16,000 liters

9/16. 18,000 liters

10/16. 20,000 liters

Answer:

Half full = 16,000 liters

Need to add 14,000 more liters

Step-by-step explanation:

Proportions and Fractions

The swimming pool contains 2,000 liters of water and it's said to be 1/16 full. this means that the total capacity of the pool is:

2,000 liters * 16 = 32,000 liters

It's required to calculate how many liters of water are required to make the pool half full.

This can be found by dividing the above number by 2, thus:

Half capacity of the pool = 32,000 / 2 = 16,000 liters

We'll provide the following answer in case it's required.

To reach half capacity, it would be necessary to add

16,000 liters - 2,000 liters = 14,000 liters of water to the existing amount.

y = 15x + 15 How do I interpret the slope and y-intercept?

Answers

Answer:

Look at explanation.

Step-by-step explanation:

The equation y = 15x + 15 is using the equation y = mx+b. m, or in this case 15, represents the slope of the equation. b, or in this case 15, represents the y-intercept.

A job pays $10.00 an hour today.If the same percentage applies to income as well as bread {previous slide}, how much would that job have paid 1955​

Answers

Answer:

67 cents

Step-by-step explanation:

Answer:

67 cents

Step-by-step explanation:

im smart

In exponential growth functions, the base of the exponent must be greater than 1. How would the function change if the base of the exponent were 1? How would the function change if the base of the exponent were between 0 and 1?


Sample Response: If the base of the exponent were 1, the function would remain constant. The graph would be a horizontal line. If the base of the exponent were less than 1, but greater than 0, the function would be decreasing.

What did you include in your response? Check all that apply.

If the base were 1, the function would be constant.
If the base were 1, the graph would be a horizontal line.
If the base were between 0 and 1, the function would be decreasing.

Answers

Answer:

How would the function change if the base of the exponent were between 0 and 1? If the base of the exponent were 1, the function would remain constant. The graph would be a horizontal line. If the base of the exponent were less than 1, but greater than 0, the function would be decreasing.

Step-by-step explanation:

gives the value of the expression b x 4 for b = 21?

Answers

Answer:

5

Step-by-step explanation:

Answer:

its A

Step-by-step explanation: i passed the test

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