Mateus recorded the number of miles driven and the amount
of gasoline used in the table below.
Gas Mileage
Distance Gas Usage
(in miles) (in gallons)
105
5
210
10
315
15
420
20
At this rate, what is the maximum miles that can be driven
with 12 gallons of gasoline?
A) 220 miles
B) 236 miles
C) 252 miles
D) 262.5 miles
Answers
Answer:
C. 252 miles.
Step-by-step explanation:
Since we already know how many miles is driven for 10 gallons of gas, we only need to find 2.
Since 105 miles runs on 5 gallons, divide 105 by 5 to find out how many miles runs on 1 gallon.
105/5=21
Then, multiply that by 2 to find out how many miles run on 2 gallons of gas.
21x2=42.
Finally, add 42 to 210 to get the amount of miles that runs on 12 gallons of gas.
210+42=252
Related Questions
How would I simplify radical expressions?
Answers
[tex]\sqrt{36x^8y^4}\\\\=\left(6^2 x^8 y^4\right)^{\tfrac 12}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[\sqrt a = a^{\tfrac 12} \right]\\\\=\left(6^2\right)^{\tfrac 12} \cdot \left(x^8\right)^{\tfrac 12} \cdot \left(y^4\right)^{\tfrac 12}\\\\=6^{\tfrac 22} \cdot x^{\tfrac 82} \cdot y^{\tfrac 42}\\\\=6 x^4 y^2[/tex]
Write a quadratic function f whose zeros are 5 and -2
Answers
Answer:
y = (x-5)(x+2)
Step-by-step explanation:
the zeros are the solution to 'x' of each factor:
x-5=0; x=5
x+2=0; x = -2
(10²)²
(EXPONENT FORM ONLY)
(i think it's 10⁴ but im not sure)
Answers
Answer: 10^4
Step-by-step explanation:
You can multiply the exponents to get 10^4.
A red die is tossed and then a
green die
is tossed. What is the probability that
the red die shows an even number and
the green die shows an even number?
Make sure your answer is reduced.
Answers
Answer: 1/4
Step-by-step explanation:
There are three even numbers and three odd numbers on a 6 sided dice
The probability of rolling an even number on the red die is: p(red with even) = 3 / 6, or 1 / 2, since there are six numbers on a die.
The probability of rolling an even number on the green die is the same as the probability of rolling an even number on the red die, or 3 / 6, or 1 / 2.
Since rolling the red die and rolling the green die are independent events, to find the probability of both occurring, you need to multiply the individual probabilities.
P(of both red and green even) = 1/2 * 1/2, or 1/4.
Answer:
3/4
Step-by-step explanation:
This is what I got for Acellus
Can someone also help me with this one? Thank you very much!
Answers
Answer:
10950 feet
Step-by-step explanation:
1 mile is 5280 feet
5280*2=10560
10560+390=10950
:)
Answer:
Your answer would be 10950!
Step-by-step explanation:
There are 5280 Feet in a mile. It says that there are 2 MILES and 390 FEET. We Multiply 2 by 5280 to get 10560 feet.Lastly, we add 10560 and 390 to get 10950K2. Calculate the total surface area of cuboids with the following dimensions (d) Radius = 3 m, breadth = 1.5 m, height = 2 cm
Answers
Answer:
2(3×2)+2(3×1.5)+2(1.5×3)
Step-by-step explanation:
12+9+9
30
Answer:
30cm square
Step-by-step explanation:
2(3×2)+2(3×1.5)+2(1.5×3)
2[3×2+3×1.5+1.5×3]
2(6+4.5+4.5)
2×15
30
How do I solve for X
Answers
Answer:
ask crohme it knows the answer
Find the unknown side (w) of the rectangular solid. Please help..
Answers
Answer:
Step-by-step explanation:
MAy yoy make it bigger
Can someone please give me the (Answers) to this? ... please ...
Answers
Jason's new business will start making a profit when he sells more than 20 items. Which graph best represents this situation?
Answers
Answer:
I- where is the graph
Step-by-step explanation:
Answer:
It's A the first graph
Step-by-step explanation:
will mark brainly
Which statements describe the end behavior of f(x)?
Select two answers.
As x approaches ∞, y approaches −∞.As x approaches ∞, y approaches −∞.
As x approaches −2.5, y approaches ∞.As x approaches negative 2 point 5 textsf comma y approaches ∞.
As x approaches −∞, y approaches −2.5.As x approaches −∞, y approaches
As x approaches −2.5, y approaches −∞.As x approaches negative 2 point 5 textsf comma y approaches −∞.
As x approaches ∞, y approaches ∞.As x approaches ∞, y approaches ∞.
As x approaches ∞, y approaches −2.5.
Answers
As x approaches infinity, we see that y also approaches infinity. This means that the 5th option with the two sentences stating this is correct.
Hope this helps x
2 1/3 divided by 1 1/5 what is the answer as a fraction or mixed number in simplest form?
Answers
Answer:
1.9444444 is the answer or 35/18
Step-by-step explanation:
Answer:
10/3 or 3 (1/3)
Step-by-step explanation:
I used a calculator sorry i don't know how to explain it
There is no options, just a box to type in your answer. PLEASE HELP!!!! 50 POINTS AND BRAINLIEST TO CORRECT ANSWER!!!!!!!!!
Answers
Answer:
16.4 TRUST ME
Step-by-step explanation:
Mark as brainliest
Jane wrote all natural numbers from 5 to 12. including 5 and 12.
how many numbers did Jane write?
Answers
what is 3 1/3, 3.337,33/10,3.11 from least to greatest
Answers
Answer:
1/3 < 3 < 33/10 < 3.337 < 3.11
Step-by-step explanation:
please help!
53°
44°
46°
xº
Answers
Explanation: A whole circle is 360 so add 53 44 and 46 together and that’s 143 and then do 143-360= 217 and that’s your answer
Jamar drove 228 miles and used 6 gallons of gas.
a) How many miles/gallon did he get on the trip?
b) On another trip, he used 9 gallons of gas. How far did he travel?
Answers
Step-by-step explanation:
a)
well, it is kind of written already :
228 miles and 6 gallons.
so, miles/gallon = 228/6 = 38 miles/gallon.
b)
it is not mentioned, but I guess we have to assume that he got the same miles/gallon ratio on this trip as well.
so, again
38 miles/gallon
and he used 9 gallons.
so, he drove 38×9 = 342 miles
2. What is the equation of a line that has a slope of 3 and passes through the point(-1,4)?
y + 4 = 3(x - 1)
y - 1 = 3(x + 4)
y + 1 = 3(x – 4)
y – 4 = 3(x + 1)
Answers
Answer:
last one
Step-by-step explanation:
point slope form:
[tex](y - y1 )= m(x - x1)[/tex]
just plug in the numbers and you will get the answer:
[tex](y - 4) = 3(x + 1)[/tex]
Rewrite using a single positive exponent.
(5-3)*
Answers
To write this expression as a positive exponent we use this rule of exponents: xa=1x−a. 5−3=15−−3=153. Use this rule for exponents: xa=1x−a. 5−3=15−−3=153=1125.
Step-by-step explanation:
Are you sure that's the complete question? If yes, there's no valid answer to this question as it's not complete. (Please do comment the full question below if you have it)
But assuming it's 5^-3 , we can apply the reciprocal law of indices which becomes:
[tex]\frac{1}{5^3}[/tex]
This is our final answer.
The reciprocal indices law states that:
[tex]x^{-n} = \frac{1}{x^n}[/tex]
Hope this helps!
There are 20 marbles in a bag. 1/5 are red and others are blue. What is the ratio of red to blue marbles
Answers
Answer:
4:16 or 1:4
Step-by-step explanation:
1/5 of 20 = 4
there are 4 red marbles
there are 16 blue marbles
4:16 or 1:4
Answer:
1/5 to 4/5
Step-by-step explanation:
I took this quiz befrore and got a 100
Paula caught a tarpon with a weight that was 10 times as great as the weight of a permit fish she caught. The total weight of the two fish was 154 pounds.
How much did each fish weigh?
The permit fish weighed _____ pounds.
The tarpon weighed ______ pounds.
Answers
Answer:
The weight of permit fish 140 pounds
The weight of Tarpon fish 14 pounds
Step-by-step explanation:
Let the weight of Tarpon fish ve 'x' Then by question weight of permit fish be '10x'
Now by question
x+10x=154 pounds
or,11x=154 pound
or,x=154pound/11
Therefore, x = 14 pounds
Again by question weight of permit fish
for 10x
by substituting value of x we have,
=10×14 pounds
=140 pounds
i need help with this i dont know how to do it...
Answers
∠C & 40° are vertically opposite angles. Vertically opp. angles have equal measures. So,
[tex]\mathfrak{Angle \: of \: C = \boxed{40^{\circ}}}[/tex]
[tex]\mathbb{MIREU} [/tex]
For which value of x does each expression make sense
Answers
[tex]\text{If you want the domain of this function then it is}~x\leq 0 ~ \text{or} ~ (-\infty ,0][/tex]
y³ written in expanded form is
Answers
hope this helps
According to legend, in 1589 the Italian scientist Galileo
Galilei dropped two rocks of different weights from the top of the Leaning Tower
of Pisa. He wanted to show that the rocks would hit the ground at the same time.
Given that the tower's height is about 177 feet, how long would it have taken for
the rocks to hit the ground?
1
To solve this problem solve the equation
O= 16t² + 177 Round to the hundrettes place,
Don't forget
to label your
answer
Answers
From the information given, the time taken for the rock to hit the ground will be 3.326 seconds.
From the information given, the formula for the height is given as:
h(t) = -16t² + v + h0
where,
h0 = 177
h(t) = 0
We'll put the values back into the formula. This will be:
h(t) = 16t² + v + h0
0 = -16t² + 177
16t² = 177
t² = 177/16
t = 3.326
Therefore, the time taken will be 3.326 seconds.
Learn more about time on:
https://brainly.com/question/2147281
In AABC, mzA = 39°,
mzB = (3x+7)°, and
mzC = (5x-2)°. Find x. PLEASE HELP
Answers
Answer:
The sum of measures of angles in a triangle is 180. So if you take the three angles, add them, and set it to 180, you will get the answer. (39 + 3x + 7 + 5x - 2 = 180)
Step-by-step explanation:
Answer:
[tex]x = 17[/tex]
Step-by-step explanation:
[tex]m < a + m < b + m < c = 180 \\ \\ 39 + (3x + 7) + (5x - 2) = 180 \\ 39 + 8x + 5 = 180 \\ 44 + 8x = 180 \\ 8x = 180 - 44 \\ 8x = 136 \\ x = \frac{136}{8} \\ \\ x = 17[/tex]
There are fewer than 30 students in the A-level mathematics class. One half of them
play the piano, one quarter play hockey and one seventh are in the school play.
How many of the students play hockey?
Answers
The number of students that play hockey is 7
The proportion is given as:
[tex]Piano =\frac 12[/tex]
[tex]Hockey =\frac 14[/tex]
[tex]School\ Play =\frac 17[/tex]
The total number of students must be a multiple of 2, 4 and 7 less than 30;
The only multiple of 2, 4 and 7 less than 30 is 28.
The number of students that play hockey is the product of 28 and the proportion that plays hockey.
So, we have:
[tex]Hockey =\frac 14 \times 28\\[/tex]
Multiply
[tex]Hockey =7[/tex]
Hence, 7 students play hockey
Read more about common multiples at:
https://brainly.com/question/290451
Part of a bridge spans a river 35 metres wide. One third of the length of the bridge is on one side of the river and 20% of the length of the bridge is on the other side.
Answers
Answer:
[tex]35 \times 20 \div 100 = 7 \\ 35 - 7 = 28[/tex]
Use the graph to describe what transformation has taken place. List your answer below.
please help!
Answers
Answer:
reflection over the y axis
Step-by-step explanation:
Please help, I don’t understand this and I did this from a while ago but I’m still confused on how to do it now.
Answers
Answer:
A.) -3p +8
b.) (10/p) -3
3.)
a.) -3(5)+8= -7
b.) (10/5)-3= -1
Step-by-step explanation:
For A and B you just have to read it over and over until you understand what is happening. A tip is when it says "fewer than" then that number usually goes after the second part of the statement.
For 3 it is asking you to plug 5 in for the value of p and solve.
Hope this helps:) Have a good day!