Step-by-step explanation:
Given data
initial mileage=24,033 miles.
cost to fill tank=$83.38
cost per gallon= $3.79
1. capacity of tank=83.38/3.79=22 gallons
remianing gas= 1/4*22= 5.5gal
gas used= 22-5.5= 16.5gal
new mileage= 24,297 miles.
mile covered= 24,297 miles.-24,033 miles.
=264miles
miles per gallon is =264/16.5
=16miles per gallon
Halp meh pls... Which statement verifies that f(x) and g(x) are inverses of each other?
f(g(x))=x
f(g(x))=x and g(f(x))= -x
f(g(x))=x = 1/f(g(x))
f(g(x))=x and g(f(x))=x
The function pairs are inverses as f(x) = 2x-3 and g(x)=(x+3)/2. The correct answer would be an option (D).
What is an inverse function?The inverse function is defined as a function obtained by reversing the given function. To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.
As per the options, we have
f(g(x))=x is expressing f is the inverse of g.
f(g(x))=x is expressing f is the inverse of g but g is not the inverse of f, g(f(x))≠x.
f(g(x))= g(f(x)) is expressing the composition of functions f(g(x)) is equal to the composition of functions g(f(x)), but not necessarily inverses. It doesn't define each equal x.
f(g(x))=x and g(f(x)) =x is expressing f is the inverse of g and g is the inverse of f.
Thus, the function pairs are inverses as f(x) = 2x-3 and g(x)=(x+3)/2.
Hence, the correct answer would be an option (D).
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(4.7 x 107) + (3.4 x 10)
Answer:
536.9
Step-by-step explanation:
There are 18 girls in mr.brimleys class. If 60 percent of the students are girls how many students are in mr.brimley’s math class?
Answer:
30 students in the class.
Step-by-step explanation:
There are several which in which we can approach this question:
We can do this question using direct proportion.
"If 18 girls represent 60%, how many students represent 100%?"
18
60
=
x
100
x
=
18
×
100
60
30
students altogether.
5x^2- 20 ÷ y - (8 + 13)
X=4 Y=5
Answer:
14
Step-by-step explanation:
U read 105 pages of a novel over 7 days.What is the mean number of pages you read each day.PLs answer this to get brainiest:)
Answer:
The mean is 15 pages a day.
Step-by-step explanation:
105/7=15
Mark is deciding between two packages of cheddar cheese. Cheetah Chedda is $4.80 for 16 ounces. Moo Valley is $4.20 for 12 ounces. How much more does Moo Valley cost per ounce?
Answer:
$0.05
Step-by-step explanation: first, divided $4.80 and 16= $0.30. Then, divided $4.20 by 12= $0.35. And subtract your two answers
Moo Valley's cost per ounce is $0.05 per ounce more than the Cheetah Chedda cost of per ounce.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Cheetah Chedda cost per ounce = 4.80 / 16 = $0.3 per ounces
Moo Valley cost per ounce = 4.20 / 12 = $0.35 per ounces
Thus, Moo Valley's cost per ounce is $0.05 per ounce more than the Cheetah Chedda cost of per ounce.
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The angle o represents the phase shift, determined by the initial conditions of the experiment or the position of the weight at t = 0. If the weight is at its maximum positive position (weight is above equilibrium) at t = 0, then o = 0. If the weight is at its maximum negative position (spring is stretched and weight is below equilibrium) at t = 0, then o = pi. If the weight is traveling in the negative direction and passing through equilibrium at t = 0, then o = pi/2. In the response box, describe the initial condition of our experiment; specifically, describe the position of the weight and the direction in which it was traveling.
Answer
initially t=0 => c2sin(0)+c1cos(0) => y=0+c1 => y=0+5 => y=5
The weight was approaching the equilibrium position from the positive direction. The weight was on its way down, with the spring stretching
Step-by-step explanation:
c1=5
what is 1\4 x 2\5 in simplest form
Answer:
1/10
Step-by-step explanation:
1/4 x 2/5
Multiply the numerators together
2
Multiply the denominators together
20
So it is 2/20
Simplify.
1/10
Hope I helped :)
Please consider Brainliest :)
Answer:
x/10
Step-by-step explanation:
Write an expression that is equivalent to three over five (3y + 15). (4 points)
A three over five y + 9
B three over five y + 15
C nine over five y + 9
D nine over five y + 15
HELP ASAP
Answer:
The equivalent to three over five (3y + 15) is nine over five y + 9 ⇒ C
Step-by-step explanation:
Let us solve the question
∵ Three over five means [tex]\frac{3}{5}[/tex]
∴ Three over five (3y + 15) = [tex]\frac{3}{5}[/tex] (3y + 15)
→ By using the distributive property, multiply each term inside the
bracket by three over 5
∴ [tex]\frac{3}{5}[/tex] (3y + 15) = [tex]\frac{3}{5}[/tex] (3y) + [tex]\frac{3}{5}[/tex] (15)
→ Multiply three over five by 3y
∵ [tex]\frac{3}{5}[/tex] (3y) = [tex]\frac{3(3)}{5}[/tex] (y) = [tex]\frac{9}{5}[/tex] y
→ Multiply three over five by 15
∵ [tex]\frac{3}{5}[/tex] (15) = [tex]\frac{3(15)}{5}[/tex] = [tex]\frac{45}{5}[/tex] = 9
∴ [tex]\frac{3}{5}[/tex] (3y) + [tex]\frac{3}{5}[/tex] (15) = [tex]\frac{9}{5}[/tex] y + 9
∴ [tex]\frac{3}{5}[/tex] (3y + 15) = [tex]\frac{9}{5}[/tex] y + 9
∴ The equivalent to three over five (3y + 15) is [tex]\frac{9}{5}[/tex] y + 9
c please give 4 stars :)
Type the missing number in this sequence: 50, 42, 34, 18, 10, 2 what comes after 34?
Answer:
The answer is 26 is after 34.
The pattern is x - 8 = y.
Step-by-step explanation:
Good luck! <3
A circular pizza with a diameter of 10 inches is in a square box with side lengths of 14 inches. In square inches, how much of the box is empty?
Answer:
117.46 sq in
Step-by-step explanation:
The area of the square is 196 sq in, and the area of the circle is 78.54 sq in. Subtracting this gives us the empty space, which is 117.46 sq in. Hope this helps
177.46 inch²
hello
would you like to be my friend? ≧ω≦
can i please get your intro?
Myself Ojasvi
Class 8, 13
India
Solve this question. Show the work.
Answer:
1. 36°
2. 36°
3. 54°
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Combine like terms to simplify the expression. 5 x + 4 + 2 x + 5
Answer:
[tex] \huge{ \boxed{ \bold{ \text{7x + 9}}}}[/tex]
Step-by-step explanation:
[tex] \text{5x + 4 + 2x + 5}[/tex]
[tex] \text{Combine \: like \: terms} : [/tex]
[tex] \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]
[tex] ➝ \: \text{5x + 2x + 4 + 5}[/tex]
➝ [tex] \text{ 7x + 4 + 5}[/tex]
[tex] \text{Add \: the \: numbers : 4 \: and \: 5}[/tex]
[tex] ➝ \: \text{7x + 9}[/tex]
[tex] \text{Hope \: I \: helped}[/tex]!
[tex] \text{Best \: regards}[/tex]!
~[tex] \mathfrak{TheAnimeGirl}[/tex]
Answer:
7x + 9
Step-by-step explanation:
Combine like terms, means put the ones that have something in common together; in this case they are the terms with an 'x' value, and a regular numeric value.
5x+2x = 7x
5+4 = 9
therefore:
7x+9
Antonio's dad bought gas for their family's ATV two weeks in a row. Last week, he bought 12 gallons for $35.40. This week, he bought 9 gallons for $25.83. How much more did Antonio's dad pay per gallon last week?
Answer: 0.08
Dont belive the dummy that said 0.30
Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.
Given information:
Antonio's dad bought gas for their family's ATV two weeks in a row.
Last week, he bought 12 gallons for $35.40.
This week, he bought 9 gallons for $25.83.
So, the cost of one gallon for last week is,
[tex]\dfrac{35.40}{12}=2.95\$\rm\;per\;gallon[/tex]
The cost of one gallon for this week is,
[tex]\dfrac{25.83}{9}=2.87\$\rm\;per\;gallon[/tex]
So, the extra charge paid by his dad for the last week for one gallon will be,
[tex]2.95-2.87=0.08\$\;\rm per\;gallon[/tex]
Therefore, Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.
For more details, refer to the link:
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The slope of the line below is -5/7. write a point slope equation of the line using the coordinates of the labeled point
need the coordinates to be able to answer
(4x5)3
Using the exponential notion and simplify pls
PHOTO ADDED
NEED URGENT HELP
Answer:
A
Step-by-step explanation:
Give an example of a real number that is not rational.
Answer:
A not rational number is called a irrational number btw. Anyway Some examples are √2 and pi.
Which expressions are equivalent to 46 ?
Answer:
frus
ggyfhhfgggdg the nearest whole number is the nearest whole thing that is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number is the nearest whole number of the nearest and the product of the nearest and we are all in this together to to 21211111111wwethkuff
To make concrete, a person mixes 1 bag of cement to 4 bags of sand. How many bags of cement should be used with 100 bags of sand?
Group of answer choices
The answer would be 25 bags of cement to 100 bags of sand by dividing 100 by 4.
What is the value for y in the following expression y=-2x+8 when x=20
Answer:
y = -32Step-by-step explanation:
[tex]y=-2x+8\\\\x=20[/tex]
Substitute ; x =20 in given equation
[tex]y =-2(20 )+8\\\\y = -40+8\\\\y = -32[/tex]
please help please solveit
What is the first step in solving for the solution to this problem?
2(m + 10) = 4(m -15)
Answer:
Multiplying the variables and numbers in the parentheses by the number next to them.
Step-by-step explanation:
help me yo!
A bag held 2 orange marbles, 3 black marbles, and 5 pink marbles. I drew a pink marble and did not replace it. What is the probability of drawing a pink marble next?
A) 2/5
B) 4/9
C) 1/2
D) 5/9
A bag held 3 white marbles, 1 orange marble, and 2 green marbles. Anna drew a white marble and did not replace it. What is the probability of drawing a green marble next?
A.) 1/6
B.) 1/5
C.) 1/3
D.) 2/5
A locker combination has three nonzero digits, and digits cannot be repeated. If the first digit is 3, what is the probability that the next digit is odd?
A.) 4/9
B.) 1/5
C.) 1/2
D.) 5/9
My locker combination has three digits. None of the digits are zero. What is the probability that the first digit of my locker combination is less than 4?
A.) 3/10
B.) 1/3
C.) 2/5
D.) 4/9
Answer:
1 is B 2 is D
Step-by-step explanation:
5+3+2=10
but since you took a pink one out its now 9 you also need to subtract 1 from the 5 since you didn't replace it
so your chances of getting a pink one are 4/9
Janice is making plans for her company party. She has a budget of $100 ta
spend. She plans to buy pizza for $12 each, but there will also be a $4
delivery charge. How many pizzas can she afford to buy?
1. Write the equation: ______
2. Janice can buy ___ pizzas for the party.
PLEASE HELP! <3
Multiply. (2/5)(−5/4) Enter your answer as a fraction, in simplest form, in the box.
Answer:
[tex]\frac{2}{5}[/tex]×[tex]-\frac{5}{4}[/tex]=[tex]-\frac{10}{20}[/tex]=[tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
2×5=10
5×4=20
add "-"
simplest
10÷10=1
20÷10=2
add "-"
Ans: -1/2 ([tex]-\frac{1}{2}[/tex])
Answer:
it is -1/2
Step-by-step explanation:you can trust me i did the quiz.
Lewis and his sister both open savings accounts. Each begin with a balance of zero dollars. For every 4 dollars that Lewis saves in his account, his sister saves 9 dollars. If Lewis has 64 dollars in his account, how much money does his sister have?
Answer:
144 dollars
Step-by-step explanation:
We are told that:
Lewis and his sister both begin with a balance of zero dollars.
Now, for every 4 dollars that Lewis saves in his account, his sister saves 9 dollar.
Now, if Lewis has 64 dollars in his account, it means he saved 4 dollars for 64/4 times or 16 times.
Therefore his sister saved 9 dollars for 16 times too.
Thus, his sister saved: 16 × 9 = 144 dollars
someone help with this ASAP I HAVE FEW MINS !!!
Answer:
Symmetric
Step-by-step explanation:
8x0.3= pls help now 82 points
Answer:
2.4 8 times 3 is 24 so 8 times 0.3 is 2.4
Find two consecutive integers whose sum is eleven less than three times the smaller integer.
Answer:
12 and 13
Step-by-step explanation: