All categories

3 years ago

Given that a truck can drive 25 miles with four gallons of gas, how many gallons does it need to drive 125 miles?

Mathematics

2 answers:

Gekata [30.6K]3 years ago

8 0

If it can drive 25 miles on 4 gallons, divide 25/4 to get 6.25mi/gal
then divide 125/6.25 to get 20 gallons

slega [8]3 years ago

3 0

The truck gets 6.25 miles per gallon of gas
6.25 x 20 = 125 miles
the answer is C. 20 gallons

You might be interested in

Area of a triangle with points at (-9,5), (6,10), and (2,-10)

Ann [662]

First we are going to draw the triangle using the given coordinates.
Next, we are going to use the distance formula to find the sides of our triangle.
Distance formula: $d= \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Distance from point A to point B:
$d_{AB}= \sqrt{[6-(-9)]^2+(10-5)^2}$
$d_{AB}= \sqrt{(6+9)^2+(10-5)^2}$
$d_{AB}= \sqrt{(15)^2+(5)^2}$
$d_{AB}= \sqrt{225+25}$
$d_{AB}= \sqrt{250}$
$d_{AB}=15.81$

Distance from point A to point C:
$d_{AC}= \sqrt{[2-(-9)]^2+(-10-5)^2}$
$d_{AC}= \sqrt{(2+9)^2+(-10-5)^2}$
$d_{AC}= \sqrt{11^2+(-15)^2}$
$d_{AC}= \sqrt{121+225}$
$d_{AC}= \sqrt{346}$
$d_{AC}= 18.60$

Distance from point B from point C
$d_{BC}= \sqrt{(2-6)^2+(-10-10)^2}$
$d_{BC}= \sqrt{(-4)^2+(-20)^2}$
$d_{BC}= \sqrt{16+400}$
$d_{BC}= \sqrt{416}$
$d_{BC}=20.40$

Now, we are going to find the semi-perimeter of our triangle using the semi-perimeter formula:
$s= \frac{AB+AC+BC}{2}$
$s= \frac{15.81+18.60+20.40}{2}$
$s= \frac{54.81}{2}$
$s=27.41$

Finally, to find the area of our triangle, we are going to use Heron's formula:
$A= \sqrt{s(s-AB)(s-AC)(s-BC)}$
$A=\sqrt{27.41(27.41-15.81)(27.41-18.60)(27.41-20.40)}$
$A= \sqrt{27.41(11.6)(8.81)(7.01)}$
$A=140.13$

We can conclude that the perimeter of our triangle is 140.13 square units.

3 0

2 years ago

Can somebody please help me with these questions?

ohaa [14]

X=7.5 area= 42
You know that the total perimeter is 39 so to find x you need to add what you already have. You’ll find there are 3 sides you don’t know the length of and all you have to do is find the shorter one which is basically 9-7=2 then add everything together and subtract it from 39 then divide it by 2 to find the two sides left

3 0

3 years ago

Help<br><br> find the value of x

Masteriza [31]

Answer: i believe

that x does not have a value

Step-by-step explanation:"variable" or sometimes an "unknown"

8 0

2 years ago

How much taxes will I pay on 45.000 per year claiming myself

lina2011 [118]

99$ Because you are broke and can’t afford the real amount of taxes and want to save the rest of your money for the strip club

8 0

3 years ago

Read 2 more answers

What's -1.55 as a fraction? show work please help

expeople1 [14]

Answer:

hope it's help you dear

Step-by-step explanation:

The decimal part of your number seems to have the repeating digit 5 in it.

Your original number to convert is 1.550000. Let's slide the decimal point in this number to the right 1 place(s) (the same number of digits in the number 5).

If we do this, we'll get a 15.500000 (slide the decimal in the 1.550000 right 1 places, you'll get 15.500000).

So what? Well now, we have two numbers with the same repeating decimal parts, 15.500000 and 1.550000.

Now let's just work a little algebra into all of this. Let's call your original number x. And in this case, x=1.550000. The number with the decimal point slid over can be called 10x, because 10x=15.500000

What if we subtracted these two equations (that is, subtract the items on the left of the equal sign

from the stuff on the right of the equal sign)?

10x = 15.5

- x = 1.55

----------

9x = 13.95.

Now here's the important result of doing all of this: Notice how all of the repeating decimal parts have subtracted away to zero! We are left with a nice, simple 14 on the right side of the equal sign.

Now, solving 9x=14 for x by dividing both sides of it by 9, we'll get that x=14/9. And this is your answer.

How is this your answer? Well remember that above, x was originally set equal to 1.550000 via x=1.550000, and now we have that x is also equal to 14/9, so that means 1.550000=14/9..and there's 1.550000 written as a fraction!

The fraction is an improper fraction (the numerator is greater than the denominator).

While there is nothing incorrect about this, an improper fraction is typically

simplified further into a mixed number.

The whole number part of the mixed number is found by dividing the 14 by the 9.

In this case we get 1.

The fractional part of the mixed number is found by using the remainder of the division,

which in this case is 5 (14 divided by 9 is 1 remainder 5).

So your final answer is: 1.550000 can be written as the fraction

7 0

3 years ago

Read 2 more answers