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Cloud [144]
4 years ago
9

Suppose that the distance a car travels varies directly with the amount of gasoline it uses. a certain car uses 11 gallons of ga

soline to travel 198 miles. how many miles can the car travel if it has 10 gallons of gasoline?
Mathematics
2 answers:
ruslelena [56]4 years ago
6 0
The easiest way to solve this problem is to first find how many miles you can travel with 1 gallon. To do this you divide 198 miles by 11 gallons. With this you can determine that 1 gallon gets you 18 miles. Multiply 18 by 10 and you get 180. 10 gallons lets you travel 180 miles.
SashulF [63]4 years ago
4 0
The car can travel 180 miles on 10 gallons of gasoline
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Find the average rate of change in the price of gasoline from 2006 to 2008
labwork [276]

Answer:

A

Step-by-step explanation:

4 0
3 years ago
Write the equation of the sphere in standard form. x^2 + y^2 + z^2 + 2x − 4y − 6z = 22
madam [21]

The equation x^{2} +y^{2} +z^{2} +2x-4y-6z=22  in standard form looks like (x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}.

Given equation of sphere be x^{2} +y^{2} +z^{2} +2x-4y-6z=22.

We are required to express the given equation in the standard form of the equation of sphere.

Equation is basically relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation or many more depending on the powers of variables. The standard form of the equation of sphere looks like  x^{2} +y^{2} +z^{2} =r^{2}.

The given equation is x^{2} +y^{2} +z^{2} +2x-4y-6z=22.

We have to break 22 which is in right side into various parts according to the left side of the equation.

x^{2} +y^{2} +z^{2} +2x-4y-6z=-1-4-9+36

x^{2} +y^{2} +z^{2} +2x-4y-6z+1+4+9=36

x^{2} +1+2x+y^{2}+4-4y+z^{2} +9-6z=36

x^{2} +(1)^{2} +2*1*x+y^{2} +(2)^{2} -2*2y+z^{2} +(3)^{2} -2*3z=36

(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}

Hence the equation x^{2} +y^{2} +z^{2} +2x-4y-6z=22  in standard form looks like (x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}.

Learn more about equations at brainly.com/question/2972832

#SPJ4

7 0
2 years ago
Jenny bought a $50 jacket. If the sales tax rate is 8%, how much tax did she pay?
OlgaM077 [116]

Answer:

54$

Step-by-step explanation:

  • To get the tax times the number to the percentage
  • 50 * 8% = 4
  • 50 + 4 = 54 $
8 0
2 years ago
329.69 round by the nearest 10
hichkok12 [17]
I think if you were to round all of the numbers to the nearest 10th 
330.70

I think that i am correct but may be wrong
If i am correct, I would appecieate the brainliest answer
7 0
4 years ago
Read 2 more answers
If you horizontally stretch the quadratic parent function, f(x) = x2, by a factor of 4, what is the equation of the new function
navik [9.2K]
Please write x^2, not x2.

If you stretch the graph of y=x^2 vertically by a factor of 4, the resulting graph represents the quadratic function y = 4x^2.  It's still a parabola, but appears to be thinner.

This particular question is about horizontal stretching, however.  Stretching the graph horizontally by a factor of 4 results in the new function g(x) = (x/4)^2.  Try graphing x^2 and also (x/4)^2 on the same set of axes to observe this phenomenon.
3 0
4 years ago
Read 2 more answers
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