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valkas [14]
3 years ago
9

Help im desperatrte pls

Mathematics
1 answer:
Zepler [3.9K]3 years ago
7 0

Answer:

337.5

Step-by-step explanation:

4 1/2*5*3 3/4

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Kimberly goes on a road trip; her car gets 25 miles per gallon (mpg) and gas costs $3.24 per gallon. Let n represent the number
LenKa [72]

Answer:

a) 10.08 gallons and $32.66 of gas

b) gallons used = n/25

c)cost of the gasoline = \frac{n}{25}(3.24)

Step-by-step explanation:

a) We know that Kimberly has traveled 252 miles and we also know that her car gets 25 miles per gallon. We can apply proportions and rule of three:

25 miles ------ 1 gallon

252 miles ----- x gallons

Solving for x:

x gallons = 252 miles(1 gallon)/25 miles= 10.08 gallons.

Thus, she has used 10.08 gallons since she started driving.

Now we need to know the cost of the gasoline that she has used.

We know that each gallon of gas costs $3.24 and she has used 10.08 gallons. Again, we can apply proportions and rule of three:

1 gallon ------ 3.24 dollars

10.08 gallons---- x dollars.

Solving for x we get:

x=(10.08)(3.24)= 32.659=32.66 dollars.

Thus, she has used $32.66 of gas since she started driving.

<u />

<u>b) Write an expression in terms of n that represents the number of gallons of gasoline she has used since she started driving.</u>

If we know that n is the number of miles that she drives, from what we wrote above, an expression to know the number of gallons she has used would be:

Gallons used = n/25 (since her car gets 25 miles per gallon) where n is the number of miles.

<u>c) Write an expression in terms of n that represents the cost of the gasoline that she has used since she started driving.</u>

Again, to know the cost of the gasoline we first need to know how many gallons she has used. From b) we know that the expression to know how many gallons she has used is n/25. Since each gallon costs $3.24 we will multiply this number by n/25 and we will get the cost (like we did in a))

Therefore, the cost of the gasoline = \frac{n}{25}(3.24) where n is the number of miles.

6 0
3 years ago
Select the x-coordinate of the vertex of the parabola defined by the function f(x)=-9x^2+7x+8
Verdich [7]
f(x)=-9x^2+7x+8\\\\a=-9;\ b=7;\ c=8\\\\x_{vertex}=\frac{-b}{2a}\\\\x_{vertex}=\frac{-7}{2\cdot(-9)}=\frac{-7}{-18}=\frac{7}{18}
4 0
3 years ago
Read 2 more answers
What is the average rate of change from x = −1 to x = 1?<br><br> −4<br> −2<br> 2<br> 4
UkoKoshka [18]
The answer of average rate o change is 2. Hope it help!
5 0
3 years ago
Two equations are given below:
jeka94
Siince 2nd equation is already equal a, subsitute b-2 for a in the other equation

b-2-3b=28
-2-2b=28
add 2 to both sides
-2b=30
divide both sides by -2
b=-15
sub back
a=b-2
a=-15-2
a=-17

(a,b)
(-17,-15)

3rd choice
4 0
3 years ago
Youth tickets(y) cost $2 for a ride, while adult tickets(x) cost $3. The amount of money earned is $54. If all the seats were fi
Paha777 [63]
There are no constants here. But we have x and y here.
We will create an equation which is:
2y+3x=54.
But we will also create a second equation which states the number of seats.
x+y=24.

Now we do the two-equation solving method.
2y+3x=54
-2(x+y=24)

2y+3x=54
-2x-2y=-48

x=6

To solve for y, plug in x into one of the original equations. Which one doesn't matter.

y+6=24
y=18

7 0
3 years ago
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