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Ray Of Light [21]
3 years ago
5

A motorcycle can travel 70 miles per gallon. Approximately how many gallons of fuel will the motorcycle need to travel 60 km?

Mathematics
2 answers:
xxMikexx [17]3 years ago
6 0

Answer:

B

Step-by-step explanation:

70 miles * [1.6 km/mile] = 112 km

Notice when you multiply by km/mile by miles the miles cancel out.

1 gallon will get 112 km

x gallon will get 60 km

  • 1/x = 112/60                     cross multiply
  • 1 * 60 = 112 * x                 divide by 112
  • 60/112 = x                        switch
  • x = 60/112                        Do the division
  • x = 0.54                           Which rounds to 0.5
kap26 [50]3 years ago
4 0

Answer:

We have the following given

mileage = 70 miles per gallon

distance = 60 km


Required: amount of fuel in gallons


First, we must convert the distance to miles, so

60 km (1 mi/1.6 km) = 37.5 mi


So, the amount of fuel is

37.5 mi / (70 mi/gal) = 0.54 gallon


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Explain how to do distributive property. Use an example.
klasskru [66]

Answer:

so we have 4(3x + 10)

then we are going to take the 4 and distribute it into our problem

so: 4(times)3x and then 4( times)10

to get :

<h2>12x+40</h2>

Step-by-step explanation:

3 0
3 years ago
4x+5y-5z=196 -11x-7y+12z=-211 -8x-9y-z=-236 Solve for x y z
FrozenT [24]
Have you learned matrices yet? I'm going to use that to solve these, please refer to the photos.

I solved the system by using a matrix calculation. The work always needs to be shown and you do that by setting up the matrix like in the first photo and also writing out all your equations. In a TI calculator, to do this you press 2ND-X^-1,GO TO EDIT - [A] - 3×4- now enter the coefficient of the system of equations variables. NOW 2ND MODE- 2ND-X^-1 -GO TO MATH- ALPHA APPS

Now, if you don't know this you may be confuse so after rref([A]) was enter a matrix came up with [1 0 0 -21] in the top row this means x equal -21. So, the next row is y and it came out as [0 1 0 46] so y equals 46 and I'm going to let you figure out what z is by looking at the matrix.

SO... X=-21 Y=46 and Z=-10

Let's Test it

4x + 5y - 5z = 196 \\ 4( - 21) + 5(46) - 5( - 10) = 196 \\  - 84 + 230 + 50 = 196 \\ 196 = 196



3 0
3 years ago
Read 2 more answers
The probability of randomly selecting a female from a group of 25 elementary school teachers is . Which of the following describ
nirvana33 [79]

Answer:

it is likely that a female will be picked

Step-by-step explanation:

the probability of selecting a female = 21/25....or 84%

7 0
3 years ago
Find the area of the shaded region in the figure below. 5in. 8in.
Fiesta28 [93]

Hi there!

<u>Answer:</u>

The area of the shaded region is 28 in²


<u>Step-by-step explanation:</u>

You will have to do 3 different steps in order to find the area of the shaded region.

First, you will need to find the total area of the rectangle using the values you have and the area formula for a rectangle, which is : A = Length × Width

"A" is the area, which is what we are looking for

The "Length" is equal here to 8 inches

The "Width" is equal here to 5 inches


A = <u>8 × 5</u>

A = 40 in²


Now that you have the area of the rectanlge, your second step is to find the area of the triangle using the values you have and the area formula for a triangle, which is : A = (Base × Height) ÷ 2

"A" is the area, which is what we are looking for

The "Base" is equal here to 8 inches

The "Height" is equal here to 3 inches


A = <u>(8 × 3)</u> ÷ 2

A = <u>24 ÷ 2</u>

A = 12 in²


Now that you have both the area of the rectangle and the area of the triangle, all you have to do for your third and final step is subtract the area of the triangle from the area of the rectangle so that you are left with the area of the shaded region :

Area shaded region = <u>40 in² - 12 in²</u>

Area shaded region = 28 in²


There you go! I really hope this helped, if there's anything just let me know! :)

6 0
3 years ago
(-2)3= (-6)2=<br><br> Evaluate <br> (-2)3=<br> (-6)2=
Tamiku [17]
-2*3 = -6
-6*2 = -12
5 0
3 years ago
Read 2 more answers
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