this is about rational numbers these questiond are connected please help!!! (un able to see questions-(by his father to)
Evan determines that he will drive approximately 250 city miles and 430 highway miles each month.
He found the cost of an oil change is $24.95 at his neighborhood repair shop.
1. The average cost of a gallon of gas in Evan's state is $4.18. What would Evan's monthly fuel cost be? Use mathematics to justify your answer.
2. Evan's base cost for car insurance is $80 per month. Determine the monthly insurance cost.
3. What are Evan's total gas, insurance, and oil change costs for two years? Show all work to justify your answer.
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Related Questions
Use LCM/LCD to find the matching equivalent fraction for each of the following: 3/4 2/3 5/6 equal it to 10/12 8/12 9/12
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what is 0.35 as a simplified fraction and why??
Answers
Answer:
7/20
Step-by-step explanation:
Answer:
0.35 7/20 35%
Step-by-step explanation:
The area of the square screen on my computer is 64 inches squared. What is the side length of my screen?
Answers
Answer:
I may be wrong but i think 12 but im not sure
Step-by-step explanation:
Answer:
Maybe 16
Step-by-step explanation:
perform the indicated operations
if
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Answer:
[tex]\frac{x^2 - 9}{y^2 - 25} / \frac{2x^2 - 6x}{3y^2 - 15y} + \frac{3 - 1.5y}{y + 5} = \frac{3(3y + 2x)}{2x(y+5)}[/tex] If [tex]x \ne 0 \ \ or\ y \ne 0[/tex]
Step-by-step explanation:
Given
[tex]\frac{x^2 - 9}{y^2 - 25} / \frac{2x^2 - 6x}{3y^2 - 15y} + \frac{3 - 1.5y}{y + 5}[/tex]
Required
Solve
First, we change / to *
[tex]\frac{x^2 - 9}{y^2 - 25} * \frac{3y^2 - 15y}{2x^2 - 6x} + \frac{3 - 1.5y}{y + 5}[/tex]
Apply difference of two squares
[tex]\frac{(x- 3)(x+3)}{(y - 5)(y+5)} * \frac{3y^2 - 15y}{2x^2 - 6x} + \frac{3 - 1.5y}{y + 5}[/tex]
Factorize:
[tex]\frac{(x- 3)(x+3)}{(y - 5)(y+5)} * \frac{3y(y - 5)}{2x(x - 3)} + \frac{3 - 1.5y}{y + 5}[/tex]
x - 3 cancels out:
[tex]\frac{(x+3)}{(y - 5)(y+5)} * \frac{3y(y - 5)}{2x} + \frac{3 - 1.5y}{y + 5}[/tex]
y - 5 cancels out
[tex]\frac{x+3}{y+5} * \frac{3y}{2x} + \frac{3 - 1.5y}{y + 5}[/tex]
[tex]\frac{3y(x+3)}{2x(y+5)} + \frac{3 - 1.5y}{y + 5}[/tex]
Take L.C.M
[tex]\frac{3y(x+3) + 2x(3 - 1.5y)}{2x(y+5)}[/tex]
Open brackets
[tex]\frac{3xy+9y + 6x - 3xy}{2x(y+5)}[/tex]
Collect Like Terms
[tex]\frac{3xy- 3xy+9y + 6x }{2x(y+5)}[/tex]
[tex]\frac{9y + 6x}{2x(y+5)}[/tex]
Factorize:
[tex]\frac{3(3y + 2x)}{2x(y+5)}[/tex]
Hence:
[tex]\frac{x^2 - 9}{y^2 - 25} / \frac{2x^2 - 6x}{3y^2 - 15y} + \frac{3 - 1.5y}{y + 5} = \frac{3(3y + 2x)}{2x(y+5)}[/tex] If [tex]x \ne 0 \ \ or\ y \ne 0[/tex]
Solve 1-3.Show and explain your work.
Answers
Answer:
-2
Step-by-step explanation:
remove 3 from 1 and are left with negative 2
Answer is -2
Two rovers are exploring a planet. The system of equations below shows each rover's elevation y at time x. Without graphing these equations, what conclusion can you make about the system of equations? Use pencil and paper.
Rover 1. y = 1.2x - 6
Rover 2. y = 8.4x - 42
A. The system has exactly one solution.
B. The system has infinitely many solutions.
C. The system has no solution.
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Can someone help me out
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Answer:
the answer its c 122 is angle 1
Answer:
A. 32
Step-by-step explanation:
The two angles are equal to each other so you can set them equal and solve
2x+57=6x-71
Add 71 to both sides
2x+57+71=6x+0
2x+128=6x
Subtract 2x from both sides
128=6x-2x
128=4x
Divide 4 from both sides
128/4=x
32=x
I need help on IXL also my profile says high school but I'm in 7th grade
Answers
Answer:
It should be 58 degrees. Good luck and have a nice day!
Step-by-step explanation:
If the angle on the opposite side is 32 degrees and the angle right next to it makes a 90 degree angle then the one on the opposite side is also 90 and 32. So just subtract 32 degrees from 90 and you get 58 degrees.
(sorry if that's confusing)
Answer:
58
Step-by-step explanation:
Use the right angle to find the missing angle. We know the one angle is 32.
90-32= 58
58 and your angle s are equal to each other because they are opposite angles.
3x + 27
A. 3(x+9)
B. 3(9+x)
C. x(3+27)
Answers
Answer:
number a is correct answer
Answer:
3(×+9)
Step-by-step explanation:
AAAAAAAAAAAASAS
please helppppppppppppppppppppppppppppppppppppppppppppp
Answers
S=shipping cost
O= original price
2.)Equation= T+S= O
3.)Cost of the item|Total cost of shipping
$1.50 | $3.05
$2.05 | $4.50
$3.00 |$5.00
$8.00 |$10.00
I don’t know how to add the graph on here so I’ll skip 4
5.) C= cost= 0.50
A= apps
T= total
6.) A x C= T
7.) Number of Apps. |. Total cost
4. |. $2
8. |. $4
5. $2.05
6. |$3.00
8.) again i don’t how to insert graphs.
Robert says he needs 250 plastic sleeves for his Pokemon card collection. He has 3,084 Pokemon cards. Each sleeve holds 12 cards. Do you agree with Robert? and why.
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Answer:
Yeah
Step-by-step explanation:
3084/250 = around 6. I don't think you should shove 6 Pokemon cards in one sleeve thought I'd probably damage the card
Disagree
Robert actually needs 257 plastic sleeves, and here is why
Each plastic sleeve holds 12 card. 250 * 12 = 3,000
3,084 - 3000 = 84
84 ÷ 12 = 7
250 + 7 = 257
257 * 12 = 3,084
Adrian and Nicky earn weekly allowances doing chores over the summer.
•Adrian’s mom pays him $5 each week.
•Nicky’s dad pays her $20 at the beginning of the summer and $3 each week.
Give at least one difference between the graphs and the equations for these 2 situations.
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Answer:
To start off, we have a two linear functions to deal with here.
The first starts off at (0,0) and goes linearly up $5 per 1 week or $1.4 per day
The second one starts off at (0,20) and goes linearly up $3 per 1 week or $2.333... per day.
So, the first difference is that Nicky's graph starts higher than Adrian's.
And the second Difference is that Nicky's graph has a lower rate of change than Adrians.
Hope that helped!
Help plz!!!!!!!!!!!!!!!!!!
Answers
Answer:
n*8=24
Step-by-step explanation:
3*8=24
What is the rate of change? Explain what it means.
A group of children go see a movie. Tickets are $8 each and they split a large popcorn. They spend a total of $34.50.
Please please please explain how you got the answer.
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Answer:
Movie tickets cost $5 for children, $8 for adults and $4 for seniors.
The theater earned $1890 in a day. Five times as many adults attended as seniors.
Twice as many children attended as seniors.
Set up and solve a system of equations, to find how many of each type of ticket was sold.
"The theater earned $1890 in a day."
5c + 8a + 4s = 1890
"Five times as many adults attended as seniors."
a = 5s
Twice as many children attended as seniors."
c = 2s
5c + 8a + 4s = 1890
replace c with 2s; replace a with 5s
5(2s) + 8(5s) + 4s = 1890
10s + 40s + 4s = 1890
54s = 1890
s = 1890/54
s = 35 Seniors
then
a = 5(35)
a = 175 adults
and
c = 2(35)
c = 70 children
Step-by-step explanation:
Check solution
70(5) + 175(8) + 35(4) =
350 + 1400 + 140 = 1890; confirms our solutions
answer, 1890
Need help with math word problems
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Answer:
a. 80%
b.-20%
c.24%
d.-5%
e. $210
Step-by-step explanation:
Step-by-step explanation:
a) $153 - $85 = $68
68 ÷ 85 = 0.8 × 100 = 80
80% increased.
80% of $85 is $68
b) $340 - $272 = $68
68 ÷ 340 = 0.2 × 100 = 20
20% decreased
20% of $340 is $68
c)78,616 - 63,400 = 15,216
15,216 ÷ 63,400 = 0.24 × 100 = 24
24% increased
24% of 63,400 is 15,216
d)2580 - 2451 = 129
129 ÷ 2580 = 0.05 × 100 = 5
5% decreased
5% of 2580 is 129
e) 75% of $120
75 ÷ 100 = 0.75 × 120 = 90
120 + 90 = 210
she sell it for $210
I hope its help u☆
please help me on this i have one more question after this
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I NEEDD IT NOW HELLLLPPPPP
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Answer:
1.25
Step-by-step explanation:
A local little league has a total of 65 players, of whom 40% are right-handed. How many
right-handed players are there?
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Answer:
26 right-handed players
Which of the following would you most likely measure in grams?
A. mass of a berry
B. mass of a watermelon
C. length of a berry
D. height of a watermelon
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Answer:
A. mass of a berry
Step-by-step explanation:
I'm tiny brain thats why
Question 1 Find the variable y =
2y = -5
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Answer:
y= -2
Step-by-step explanation:
im coooooooooooooooooooooooo
it can also be written as y = -5/2
19% of the animals at an animal shelter are dogs. About what fraction of the animals at the shelter are dogs?
Answers
Answer:
19/100
Step-by-step explanation:
19% is basically 19/100 which can't be simplified as 19 is prime
Answer: 19/100
Step-by-step explanation:
19% expressed as a fraction would be 19/100 or 19 out of 100
Hope this helps :)
The graph represents function 1 and the equation represents function 2:
A graph with numbers 0 to 4 on the x-axis and y-axis at increments of 1. A horizontal straight line is drawn joining the ordered pairs 0, 3 and 4, 3.
Function 2
y = 4x + 1
How much more is the rate of change of function 2 than the rate of change of function 1?
1)
1
2)
2
3)
3
4)
4
Answers
Answer:
The rate of change is 2 more
Answer:
2
Step-by-step explanation:
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.
A fashion photographer needs to hire a stylist to prepare his models. Chloe charges $165 for showing up, plus $71 per hour. Rodrigo charges $168 plus $68 per hour. The photographer realizes that, given the expected duration of his photo shoot, either stylist would cost him the same amount. What would the duration be? What would the cost be?
If the shoot lasted for BLANK
hours, either stylist would cost BLANK $
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In the first hour it will cost $236 because for showing up and for the first hour.
but Rodrigo will be cheaper because the showing up money doesn't increase each hour, so in conclusion. Rodrigo is cheaper by $3
please do all four..:( if u do ily 4ever <3
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Answer:
8. 343
9. -256
10. 256
11. 8/125 ( or 0.064)
Please help =/ And my heard hurt...
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Please help me with acellus
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Process:
X + 6 - 2x = x - 24
6 - x = x - 24
30 - x = x
30 = 2x
2x = 30
X = 15
The amount of interest,Y paid on a loan is directly proportional to the amount borrowed. Write en equation if y=75 when x=500.
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Tree factories build the same widget. Th number of widgets produced in each factory are shown in the table.
TABLE
(Hours) (Factory A) (Factory B) (Factory C)
1 8 9 6
3 24 18 18
6 42 27 36
Only one of the factories produces widgets at a constant rate.
Which equation represents y, the number of widgets produced in x hours, for the one factory that produces widgets at a constant rate?
A. y = 3x
B. y = 6x
C. y = 8x
D. y = 9x
Answers
Answer:
1 8 9 6
y= 3x
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
A custodian plans to repaint some classroom bookcases. She has 5 and 1/4 gallons of paint. All of the bookcases are the same size and each requires 3/4 gallon of paint. How many bookcases will the custodian be able to repaint with that amount of paint?
Answers
Answer:
The custodian will be able to repaint 7 bookcases with the amount of paint.
Step-by-step explanation:
5 1/4 divided by 3/4 gets you to 7.
Hope this helps!! <3
Answer:
7 bookcases
Step-by-step explanation:
Write a story that represents the math problem 2/6 times 3/4
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There is only 3/4 of a pie left. Two families decide to split the pie. There are 6 kids total, and they decide that each kid should get a sixth of what's left of the pie. One family has 2 kids, so how much pie will they get?
So 2/6 of 3/4 is 1/4 or .25
step by step: rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: 1/4*t6-(-4)=0
simplify 1/4
((1/4•t) - 6) - -4 =0
subtracting a whole from a fraction. rewrite the whole as a fraction using 4 as the denominator :
6 = 6/1 = 6•4/4
equivalent fraction: the fraction thus generated looks different but has the same value as the whole.
common denominator: the equivalent fraction and the other fraction involved in the calculation share the same denominator.
adding up the two equivalent fractions
add the two equivalent fractions which now have a common denominator.
combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
t - (6•4)/4 = t - 24/4
(t - 24) - -4 = 0
subtracting a whole from a fraction
rewrite the whole as a fraction using 4 as a denominator:
-4 = -4/1 = -4•4 / 4
adding up the two equivalent fractions.
t - 8/4 =0
when a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now, to get rid of the denominator. Tiger multiples both sides of the equation by the denominator.
here's how:
t-8 • 4 = 0 • 4
Now, on the left hand said, the 4 cancels out the denominator while on the right side, zero times anything is still zero.
The equation now takes the shape
t-8=0
solve t-8=0
add 8 to both sides of the equation:
t = 8
that's how you get the answer.
