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sdas [7]
3 years ago
12

Lulu is taking a road trip to visit family. Her car has a 20-gallon gas tank and the car uses 12 gallons to travel 216 miles.

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
8 0

Answer:

<u>The answer is G = 20 - m/18, but none of the answers given is correct.</u>

Step-by-step explanation:

1. Let's review the information given to us to help Lulu to answer the question correctly:

Capacity of the gas tank of Lulu's car = 20 gallons

Lulu can travel 216 miles using 12 gallons

2. Which linear equation represents the number of gallons of gas, G, left in the tank after driving m miles?

G = number of gallons left in Lulu's car

m = Miles driven by Lulu

miles per gallon = 216/12 = 18 miles per gallon

Now, we can write the linear equation, this way:

G = Capacity of the gas tank of Lulu's car - miles driven/miles per gallon

Replacing with the values we know:

<u>G = 20 - m/18</u>

Let's assume Lulu drives 180 miles, using our linear equation, we have:

G = 20 - 180/18

G = 20 - 10 = 10 gallons left

Let's assume Lulu drives 54 miles, using our linear equation, we have

G = 20 - 54/18

G = 20 - 3 = 17 gallons left

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Answer:

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Nimfa-mama [501]

The question was incomplete. Below you will find the missing content.

In the figure below, BL, AM, and CK are medians of △ABC. If KC = 108 and OC = 2n + 10, then n=

The picture is attached below.

The value of n is 31.

The median is the line connecting the vertex and its midpoint on the opposite side of the triangle.

The intersection of all 3 medians of the triangle is called the centroid.

As we know centroid divides the median in the ratio of 2:1.

In the given picture,

Medians of triangle △ABC are AM, BL, and CK.

So the centroid of the triangle is O.

Given that KC= 108

As the centroid O divides the line KC in 2:1.

Let OC=2x

KO= X

As KC= KO+OC

⇒ 108= x+2x

⇒ 3x=108

⇒ x=108/3

⇒ x=36

Then OC= 2x= 2*36= 72

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putting the value of OC in above equation

⇒ 72= 2n+10

⇒ 2n= 72-10

⇒ 2n=62

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⇒n=31

Therefore the value of n is 31.

Learn more about the median of the triangle

here: brainly.com/question/2264495

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5 0
2 years ago
Hurry!
NARA [144]

Ans(a):

Given function is f(x)=\frac{3x-1}{x+4}

we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0

so let's solve

x+4≠0 for x

x≠0-4

x≠-4

Hence at x=4, function can't have solution.


Ans(b):

We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)

so we get:

g(x)=f(x)+4

g(x)=\frac{3x-1}{x+4}+4

We may simplify this equation but that is not compulsory.

Comparision:  

Graph of g(x) will be just 4 unit upward than graph of f(x).


Ans(c):

To find value of x when g(x)=8, just plug g(x)=8 in previous equation

8=\frac{3x-1}{x+4}+4


8-4=\frac{3x-1}{x+4}


4=\frac{3x-1}{x+4}


4(x+4)=(3x-1)


4x+16=3x-1


4x-3x=-1-16

x=-17

Hence final answer is x=-17

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