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
A project will take 720 person-days to complete. How many days will it take to complete the project if 5 people work on it?
Answers
: Use ratio language to describe the relationship of any two things you can think of. Example: For every 5 minutes of jogging, I ran 500 yards. Be creative and come up with your own idea.
Answers
For every 5 minutes of jogging, I ran 500 yards
To Find : Use ratio language to describe the relationship of any two things
Determine the unit rate
Solution:
every 5 minutes of jogging, I ran 500 yards
=> 500/5 = 100 yards/ minute
For every 20 minutes , I can type 1000 words in
unit rate = 1000/20 = 50 words per minute
For every 1 hr (60 minutes) I can solve 10 Questions
unit rate = 10/60 = 1/6 Question per minute
For every 10 minutes , i can read 5 pages
unit rate = 5/10 = 1/2 pages per minute
Learn More:
Selma uses a jogging trail that runs through a park near her home ...
brainly.in/question/21297587
Keith is saving money for a car. He has saved the same amount ...
brainly.in/question/14056417
The linear parent function, f(x) = x, was transformed to create a graph g(x) = f(x + 4).
Which statement about the graphs is true?
O The graph of fis steeper than the graph of g.
O The graph of fis shifted 4 units left to create the graph of g.
O The graph of fis less steep than the graph of g.
O The graph of fis shifted 4 units right to create the graph of g.
Answers
Answer:
2nd option
Step-by-step explanation:
Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
g(x) = f(x + 4)
Is the graph of f(x) shifted 4 units to the left
View Example
After a power fallure, the temperature in a freezer increasettat an average rate of 3.5°F per hour. The total
Increase was 17.5°F. Enter and solve an equation to find the number of hours until the power was
restored. Let x represent the number of hours it takes for the temperature to increase to 17.5°F.
Step-by-step
Video Tutor
The equation to find the number of hours until the power was restored is
Textbook
Print
The number of hours until the power was restored
is
hours
Turn it in
e Save & Close
Question 6 of 6
✓ Check Answer
Answers
Answer:
a b c d e f g h i j k l m n o p q r s t u v w x y z
Step-by-step explanation:
yoooooooooooooooooooooooooooo
Need to review this problem for finals help pls
Answers
Answer:
Step-by-step explanation:
Slope form: y=mx+b
given slope and x intercept:
y=3x+b
let y=0
0=3(7)+b
b=-21
so:
ANSWER: y=3x-21
You are going on a camping trip with your family for 3 days. You decided that you need 5 batteries for your flashlights. At the very last minute you decide to extend the trip to 9 days.
a. Set up a proportion to solve for the amount of batteries you will need for the extended trip.
b. Solve the proportion for part a
Answers
Answer:
15 batteries
Step-by-step explanation:
a. We have
5 batteries = 3 days
5 batteries/3 days = 1
5 batteries/3 days
we need to convert this to 9 days, so
x amount of batteries = 9 days
x batteries / 9 days = 1
5 batteries / 3 days = x batteries / 9 days
b.
5 batteries / 3 days = x batteries / 9 days
multiply both sides by 9 days to get rid of the denominators as well as the days variable
5 batteries * 9 days / 3 days = x batteries
5 batteries * 3 = x batteries
15 batteries = x batteries
x = 15
The proportion for the given situation is 3 : 5 :: 9 : x and 15 batteries required for 9 days trip.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Let x be number of batteries required for 9 days trip.
a) So, the proportion is
3 : 5 :: 9 : x
b) Solve for x, that is
3x=45
⇒ x=15
Therefore, the number of batteries required for 9 days trip is 15.
To learn more about the proportions visit:
https://brainly.com/question/7096655.
#SPJ2
which expression is equal to 4 to the power of 5 times 4 to the power of -7 divided by 4 to the power of -2
Answers
-424 +122-72+2
Jason tried to find an expression equivalent to the rational expression
by using
202+1
polynomial long division. His work is shown below.
- 2x + 7x
2x + 1) - 4x4 + 12x3 - 7x + 2
-(-4x4 - 2x2)
14x - 7x + 2
- (14x3 + 7x)
-14x + 2
Jason concluded that -202 + 7+ +
-142+2
was equivalent to the rational expression. Jason's
2x+1
conclusion is incorrect.
O He made a mistake subtracting - 4x4 - 2x² from - 4x4 + 12x² - 7x + 2
He made a mistake by multiplying 2x² + 1 by 2x2
O He made a mistake subtracting 14x + 7x from 14x3 – 7x + 2
O He should have done one more step of long division to divide - 14x + 2 by 2x² + 1
+
Need help understanding this ?
Answers
Answer:
The expression "-424 +122-72+2" doesn't seem to have anything to do with the rest of the problem. The sum of what was written is -372. There are no unknowns (x's) in this expression, and yet the work shows x's in the analysis.
Step-by-step explanation:
What does "by using
202+1
polynomial long division." mean??
do the numbers after the x's represent exponents?
e.g.: "2x + 1) - 4x4 + 12x3 - 7x + 2" is really "2x + 1) - 4x4 + 12x^3 - 7x + 2"
i don't know the answer to log4(x+6)=2
Answers
Answer:
10
Step-by-step explanation:
log4(x+6)=2
x+6=4²
x=4²-6
x=10
Answer:
[tex]x=10[/tex]
Step-by-step explanation:
[tex]log_4(x+6)=2[/tex]
[tex]4^{log_4(x+6)}=4^2[/tex]
[tex]x+6=16[/tex]
[tex]x=10[/tex]
Remember that logarithmic functions are the inverses of exponential functions. Therefore, we raise the base of the logarithm to the logarithm to undo the operation.
Find 110% of 80 by writing the percent as a fraction
Answers
Answer:
[tex]\frac{80}{100}[/tex] i think its 80 or 88
Step-by-step explanation:
so sorry if this is wrong
Answer:
88
Step-by-step explanation:
x / 80 = 110 / 100
Cross multiply
80 * 110 = 100x
8800 = 100x
Divide both sides by 100
88 = x
On September 1, you own 12.5 shares of stock that are worth $149.87. On
December 1, the shares are worth $94.87. What was the change in the price per
share of stock?
Answers
From September 1 to December 1 is three months apart so meaning the price dropped $49.95 for the months of Oct to Dec.
The required change in the price of the share of stock is $4.4.
Given that,
On September 1, you own 12.5 shares of stock that are worth $149.87. On December 1, the shares are worth $94.87, and the change in the price per share of stock is to be determined.
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,
Initial total cost shares of stock = $149.87
A total number of shares = 12.5
The initial cost of single share = 149.87/ 12.5 = $11.98
Now final cost of the total share = $94.87
The final cost of the single share is = 94.87 / 12.5 = $7.58
Change in price of shares of stock = 11.98 - 7.58 = $4.4
Thus, the required change in the price of the share of stock is $4.4.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ6
consider the equation n=2/5m-30 for what value of m is n equal to 50?
Answers
Answer:
m = 200
Step-by-step explanation:
Substitute n = 50 in the equation
n = 2/5m - 30
50 = 2/5m - 30
50 + 30 = 2/5m
80 = 2/5m
m = 80 ÷ 2/5
m = 200
Hello, thanks for the fast reply! I was trying to make sense of the following equation:
Answers
Answer:
[tex]15\sqrt{3}[/tex] inches
Step-by-step explanation:
[tex]2\sqrt{12} +2\sqrt{27} +\sqrt{12}+3\sqrt{3}[/tex]
[tex]2\sqrt{4*3} +2\sqrt{9*3} +\sqrt{4*3} +3\sqrt{3}[/tex]
[tex]4\sqrt{3} +6\sqrt{3} +2\sqrt{3} +3\sqrt{3}[/tex]
[tex]15\sqrt{3}[/tex] inches
Hope this helps!
please help me if you can
Answers
B) 45 degrees (congruent angle)
C) 90 degrees (right angle)
D) 99 degrees (congruent angle)
E) 30 degrees (congruent angle)
F) 30 degrees (180-150=30, that is to find the other angle that is congruent to f)
I need help with this question
Answers
Answer:
2√14m
Step-by-step explanation:
Hypothenus = 9m
Second side = x
third side = 5m
Using Pythagoras theorem
9² = x² + 5²
81 = x² + 25
x² = 81 - 25
x² = 56
x = √56
= √4 × √ 14
= 2√14m
Over six months, a family's electric bills averaged $55 per month. The bills for
the first five months were $57.60, $60, $53.25, $50.75, and $54.05. What was
the electric bill in the sixth month? Find the median, mode, and range of the
six electric bills.
Answers
$54.35
Step-by-step explanation:
The differences from the average value are;
2.60, 5.00, -1.75, -4.25, -0.95
The total of these differences is +0.65, so the final bill must have a value that is $0.65 lower than the average.
The bill for the 6th month is $54.35.
_____
Check
The average of the bills for 6 months is;
(57.60 +60 +53.25 +50.75 +54.05 +54.35)/6 = 330/6 = 55
reasking the answer for this one, solve for x please and thank you. click on file
Answers
Answer:
44
Step-by-step explanation:
A circle is 360 degrees.
145 +136 + 35= 316
360-316= 44
44 Degrees
Mario sells men's and women's shoes in his shoe store. He is considering selling children's
shoes. He randomly selected 120 customers to participate in a survey. The survey results are
shown below.
• 42 customers said they would shop for children's shoes
• 78 customers said they would not shop for children's shoes
Mario has an average of 440 customers per month. Based on the survey results, which
value is the best estimate of the number of customers that would shop for children's shoes
during an average month?
А
120
B
154
C
220
D
286
Answers
Answer:
154
Step-by-step explanation:
42 is 35% of 120, and 78 is 65% of 120. Thus 35% of 440 is 154 people who would shop for shoes.
Please like and thank, hope this helps.
The number of customers that would shop for children's shoes during an average month is 154.
Number of randomly selected customers = 120
Number of customers willing to shop for children's shoes = 42
42 is what percentage of 120?As we know that percentage is the value per hundred.
So, (42/120) *100 = 35%
So, 42 is 35% of 120.
This means that 35% of customers are willing to shop for children's shoes.
Average customers per month = 440
35% of 440 = (35*440)*100
35% of 440 =154
So, the number of customers that would shop for children's shoes
during an average month =154.
Therefore, the number of customers that would shop for children's shoes during an average month is 154.
To get more about the percentage visit:
https://brainly.com/question/24304697
309,303,297 find the 33rd term
Answers
Answer:
111
Step-by-step explanation:
multiply 33 by 6 because 6 is being subtracted every time and then subtract 198 from 309
Answer:
117
Step-by-step explanation:
Hope this helps!
Help me please with this!…………………
Answers
Answer:
x = 2
Step-by-step explanation:
The two angles are congruent because they are alternative interior angles.
9x + 4 = 3x + 16
9x - 3x + 4 = 3x - 3x + 16
6x + 4 = 16
6x + 4 - 4 = 16 - 4
6x = 12
x = 2
Write an equation of a line which has a slope of -2 and goes through the point (-4,11)
Answers
Answer:
See answers below
Step-by-step explanation:
slope-intercept form- y=-2x+3
point slope form- y-11=-2(x+4)
Use the given slope and point to substitute into the point-slope formula
then you can solve for y=mx+b
How do you write 750% as a fraction or mixed number
Answers
Answer:
750/100 or 7 1/2 whichever way u need
Step-by-step explanation:
In a car survey of 3,400 people who owned a certain type of car. 1,020 said they would buy that type of car again. What percent of people surveyed were satisfied with the car?
_______% of the people surveyed were satisfied with the car. (Type a whole number
Answers
Answer:
30%
Step-by-step explanation:
[tex]\frac{1020}{3400} =\frac{30}{100}[/tex]
Answer:
30%
Step-by-step explanation:
given
Total:3400
satisfied people:1020
we know that,
percent of satisfied:3400/1020x100%
=30%
Will someone like please help me on my math ;(
What is the recursive formula for this sequence?
10, 14, 18, 22, 26....?!!?!
Answers
Answer:
option A
Step-by-step explanation:
The given Series:
10,14,18,22,26... is an Arithmetic Progression.
Concept:
The difference between consecutive numbers always remains the same.
For instance:
14 - 10 = 18 - 14 = 22 - 18 = 4
This difference is known as the common difference.
In an A.P., the nth (an) term of a series can be found out by:
[tex] \boxed{ \sf{a _{n} = a + (n - 1)d}}[/tex]
Here,
an is the nth terma is the first term of the series = 10n is the number of termsd is the common difference = 4[Don't get confused by (n- 1), it's simply the number of terms - 1. If the number of terms, somehow, is (n - 1) itself, your formula will be an = a + ((n - 1) -1)d]
Soltution:
The first term of the given Series is 10.
==> a1 = 10
Finding an:
the nth term will be:
an = 10 + (n - 1)4
==> 10 + 4n - 4
==> 6 + 4n
Strategy:
All the given options have an and a(n-1). So we have to deduce a relation between an and a(n- 1).
Finding a(n-1):
==> a(n-1) = 10 + ((n - 1) -1)4
= 10 + (n- 2)4
= 10 + 4n - 8
= 4n + 2
Subtracting a(n-1) from an:
==> an - a(n-1) = 6 + 4n - (4n + 2)
==> an - a(n-1) = 6 + 4n - 4n - 2
==> an - a(n-1) = 4
==> an = 4 + a(n-1)
Hence, option A is the answer.
Find the value of x in the triangle shown below.
Answers
Answer:
u did a lot of this budy a lot of these
Step-by-step explanation:
merry christmas! my teachers gave me work. ill be happy if u help
Answers
area of a triangle = base * height : 2
4 * 5 = 20 : 2 = 10
10 * 12triangles = 120cm^3
A town’s population increased from 25200 to 26460. Find the percent of increase.
Answers
Answer:
5%
Step-by-step explanation:
Based on the given conditions, formulate: (26460-25200)÷25200
Calculate the sum or difference: 1260/25200
Cross out the common factor: 1/20
Multiply a number to both the numerator and the denominator: 1/20 * 5/5
Write as a single fraction: 5/20*5
Calculate the product or quotient: 5/100
Rewrite a fraction with denominator equals 100 to a percentage: 5%
If the average ticket price for movie A in its first week was 1.4 times the average ticket price in its third week, what was the average ticket price for movie A in its first week?
Answers
Hope this helped :)
My I please have some help
Simplify (89^6 x 91^3)^0
1
(89^6 x 91^3)
0
(89^7 x 91^4)
Answers
Answer:
Any number(except 0) to the power 0 is equal to 1. So the the answer is 1.
Step-by-step explanation:
Lucy bought a desk on sale for $883. This price was 15% less than the original price.
Answers
the answer to the question is 898$