A 2020 Toyota Prius c hybrid vehicle gets about 48 miles per gallon while driving
on the highway. The tank holds 11.3 gallons of fuel.' Typically the low fuel warning
light comes on when approximately two gallons of fuel remain in the tank. Which of
the following calculations can be used to find the distance that can be traveled on
the highway after the fuel light comes on and before the car runs out of gasoline?
Answers
The distance that can be traveled on the highway after the fuel light comes on and before the car runs out of gasoline is 96 miles.
Given that a 2020 Toyota Prius hybrid vehicle gets about 48 miles per gallon while driving on the highway, and the tank holds 11.3 gallons of fuel, and typically the low fuel warning light comes on when approximately two gallons of fuel remain in the tank, to find the distance that can be traveled on the highway after the fuel light comes on and before the car runs out of gasoline the following calculation should be performed:
1 = 48 2 = 48 x 2 2 = 96
Therefore, the distance that can be traveled on the highway after the fuel light comes on and before the car runs out of gasoline is 96 miles.
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Related Questions
The Middle Ages lasted approximately from
Answers
Answer: The Middle Ages lasted approximately from the 5th to the late 15th century. It began with the fall of the Western Roman Empire and merged into the Renaissance and the Age of Discovery.
el inverso de 13/25 es
Answers
Answer:
25/13
Step-by-step explanation:
Rewrite the following polynomial in standard form. − x
Answers
The polynomial in standard form is -x^4 - x/7 + 1
How to rewrite the polynomial in standard formFrom the question, we have the following parameters that can be used in our computation:
-x^4 + 1 - x/7
Rewrite the terms of the expression in descending of degrees
So, we have the following representation
-x^4 - x/7 + 1
The above is the standard form of the polynomial
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9. Solve the following exponential equation. Round your answer to three decimal places.7^x=88 x =
Answers
For the exponential equation given;
\(7^x=88\)We shall use the natural logarithm to evaluate as follows;
\(\begin{gathered} x=\frac{\ln (88)}{\ln (7)} \\ \ln 88=4.477 \\ \ln 7=1.946 \\ x=\frac{4.477}{1.946} \\ x=2.30089 \\ x\approx2.301\text{ (to 3 decimal places)} \end{gathered}\)ANSWER:
The value of x equals 2.301 (rounded to 3 decimal places)
Suppose that $7500 is placed in an account that pays 6% interest compounded each year.
Assume that no withdrawals are made from the account.
Follow the instructions below. Do not do any rounding.
(a) Find the amount in the account at the end of 1 year.
(b) Find the amount in the account at the end of 2 years
Answers
a) The compounded amount in the account at the end of 1 year is $7,950.
b) The compounded amount in the account at the end of 2 years is $8,427.
What is compound interest?Compound interest is the interest added to the principal amount after each period in order to compute the period's interest.
By compounding, we mean that accumulated interest is added to the principal to compute the subsequent interest.
Compound interest is unlike simple interest, which does not compound interest.
The compound interest formula is:
A = P(1 + r/n)^nt
A = Final amount
P = initial principal balance
r = interest rate
n = number of times interest is applied per time period
t = number of time periods elapsed
Since this investment is compounding annually, we can find the final amount at the end of each year using the common formula as follows:
A = P(1 + r)ⁿ
Principal = $7,500
Compound interest rate = 6%
Compounding period = Annually
Amount at the end of Year 1 = $7,950 ($7,500 x 1.06¹)
Amount at the end of Year 2 = $8,427 ($7,500 x 1.06²)
Thus, the compounded amount at the end of year 1 is $7,950 and $8,427 at the end of year 2.
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60% of the books in a library are for adults, 5% are for young people and the rest are for children. If there are 280 books for children, how many books are there altogether?
Answers
Answer:
800 books
problem solving steps：
adults:60%
young people:5%
children=100%-60%-5%
=35%
35%=280 books
1%=280÷35
=8
100%=800
so,there are 800 books
Why is trig like this?? B:What is the appropriate trig ratio that can be used to solve for x? C:Write the equation
Answers
Answer:
sin
sin 20 = x/15
15 sin 20 =x
Step-by-step explanation:
We want to find the opp/ hyp
sin 20 = opp / hyp
sin 20 = x/15
15 sin 20 =x
Cakculate the Length of line x
Answers
The length of line x in the figure of the cube given is 19.
Calculate the length of the base of the cube, which is the diagonal of the lower sides :
base length = √10² + 6²
base length = √136
The length of x is the diagonal of the cube
x = √baselength² + 15²x = √(√136)² + 15²
x = √136 + 225
x = √361
x = 19
Therefore, the length of line x in the figure given is 19.
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What is an equation of the line that passes through the point ) (8,−5) and is parallel to the line
5x+4y=24?
Answers
By rearranging the equation, we get the equation of the line parallel to 5x + 4y = 24 that passes through the point (8, -5) as y = (-5/4)x + 5.To find the equation of a line parallel to another line, we need to determine the slope of the given line.
The equation of a line can be written in slope-intercept form as y = mx + b, where m represents the slope.
To determine the slope of the given line 5x + 4y = 24, we need to rearrange the equation in slope-intercept form. First, subtract 5x from both sides: 4y = -5x + 24. Next, divide all terms by 4: y = (-5/4)x + 6. Therefore, the slope of the given line is -5/4.
Since the line we are looking for is parallel to this line, it will also have a slope of -5/4. Now we can use the point-slope form of a line to find the equation. The point-slope form is given as y - y1 = m(x - x1), where (x1, y1) represents the given point (8, -5) and m is the slope.
Substituting the values into the equation, we have y - (-5) = (-5/4)(x - 8). Simplifying further, y + 5 = (-5/4)x + 10.
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2y = 3x + 4
2x = -3y - 7
Answers
Answer:
x= -2.........&.........y= -1
Step-by-step explanation:
(x,y)=(-2,-1)
Your food costs are $2,000.
Your total food sales are $8,500. What percent of your food sales do the food costs represent?
Answers
Answer:
23.53%
Step-by-step explanation:
Given :
food costs = $2,000total food sales = $8,500Solving :
Food costs / Total Food Sales2000/85004/170.235323.53%HELP!!! rewrite x^2-12x=10 in vertex form. Please clearly show your work :)
Answers
Answer:
Write
f
(
x
)
=
2
x
2
+
12
x
+
10
as an equation.
y
=
2
x
2
+
12
x
+
10
Step-by-step explanation:
Write
f
(
x
)
=
2
x
2
+
12
x
+
10
as an equation.
y
=
2
x
2
+
12
x
+
10
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with grams of a radioactive isotope, how much will be left after 4 half-lives?
Answers
After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:
Amount remaining = Initial amount × (1/2)^(number of half-lives)
In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.
So, the equation becomes:
Amount remaining = Initial amount × (1/2)^4
Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.
Simplifying the equation:
Amount remaining = Initial amount × (1/16)
Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
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How many solutions does this system of equations have?
Answers
Answer:A
Step-by-step explanation:
Exactly one because it intersects each other once
Triangle ABC is similar to triangle DEF.
a. Find the scale factor from triangle ABC to triangle DEF.
b. Find x.
c. Find y.
Answers
Answer: x=7.7, y=40
3/x = 15/38.5
38.5*3=115.5
115.5/15= 7.7
x=7.7
3/8 = 15/y
15*8=120
120/3= 40
y=40
orrrr you can just easily find the scale factor which is 5, multiply 8 by 5 and get 40. And 38.5/5 which is 7.7
Identify the LCM for 8 and 10.
40
80
160
2
Answers
Answer:
A
Step-by-step explanation:
40
Try to remember it this way- 4x5=20. Double that.
7. Sketch the graph of f(x) = 2(x - 1.5)2 + 3, then state the domain and range of the function (show all your
work). (4 points)
8. Determine the value of a given that (7, 6) satisfies the quadratic function f(x) = a(x – 5)2 +6. (Show all your
work). (2 points)
Answers
9514 1404 393
Answer:
7. D: (-∞, ∞); R: [3, ∞); see attached for a graph (red)
8. a=0; see attached for a graph
Step-by-step explanation:
7. The function is a polynomial, so its domain is all real numbers.
The parabola opens upward. It has a minimum value of 3. The range is y ≥ 3.
__
8. Putting the given point coordinates in the equation, we can solve for a.
f(7) = 6
6 = a(7 -5)² +6
0 = a(2²)
0 = a
The value of a is zero.
(The given point has the same y-value as the vertex, but is not the vertex. The function can only go through that point if it is a horizontal line (not a parabola).) The attachment shows a graph.
may anyone please help me with math
Answers
Answer:
In decimal
\( - 2.8\)
As fraction
\( \frac{ - 14}{5} \)
And as mixed fraction
\( - 2 \frac{4}{5} \)
Step-by-step explanation:
Greetings !
Given expression
\(f(x) = \frac{x - 8}{x + 11} \)
Thus, plug in -6 in the variable x and solve
\(f( - 6) = \frac{ - 6 - 8}{ - 6 + 11} \)
solve -6-8 = -14
solve -6+11 = 5
\( = \frac{ - 14}{5} \)
Apply fraction rule
\( \frac{ - a}{b} = - \frac{a}{b} \)
Thus
\( = - \frac{14}{5} \)
Convert iimproper fraction to mixed fraction .
\( \frac{14}{5} = 2 \: \: remainder \: \: 4\)
\(convert \: to \: mixed \: number \\ quotient \frac{remainder}{divisor} \)
whereas
\( \frac{14}{5} = 2 \frac{4}{5} \)
\( = - 2 \frac{4}{5} \)
Hope it helps !!!
I have 3 red balls, 3 blue balls and 3 yellow balls in a box. Total of 9 balls. Let's say that I randomly pick 3 balls, what are the chances of having at least 2 red balls in the 3 that I picked?
Answers
The probability of having at least 2 red balls in the 3 that I picked will be 1/3.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
I have 3 red balls, 3 blue balls, and 3 yellow balls in a crate. All out of 9 balls.
If the three balls are picked randomly, then the probability of having at least 2 red balls in the 3 that I picked will be given as,
P = 3/9
P = 1/3
The probability of having at least 2 red balls in the 3 that I picked will be 1/3.
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how long did the balloon remain at 350 ft ?
Answers
Answer:
upto 9-45 because because from 9 to 10 each box each box indicate 15 minutes and because of it the balloon at 350 feet will be only for 9-45
please I need the answer
Answers
Answer:
The answer is c
Step-by-step explanation:
one add the numbers 108 & 96=204
then add the numbers from c which is 30+30=60 43+43=86 29+29=58
then add 60+86+58 which will be 204 so c is the answer your welcome
come
Find surface area of the following figure.A. 3,984B. 4,398C. 3,668D. 2,890
Answers
The surface area of rectangular prism can be calculated using the following formula:
\(SA=2wl+2hl+2hw\)Where "w" is the width, "l" is the length and "h" is the height of the rectangular prism.
Observe the rectangular prism shown in the exercise. You can identify that:
\(\begin{gathered} l=26ft \\ w=20ft \\ h=32ft \end{gathered}\)Knowing these values, you can substitute them into the formula:
\(\begin{gathered} SA=2wl+2hl+2hw \\ SA=2(20ft)(26ft)+2(32ft)(26ft)+2(32ft)(20ft) \end{gathered}\)Finally, evaluating, you get that the surface area of the rectangular prism is:
\(\begin{gathered} SA=1,040ft^2+1,664ft^2+1,280ft^2 \\ SA=3,984ft^2 \end{gathered}\)The answer is: Option A.
it's easy it's called Two-way tables please help
Answers
Answer: The filled out table is shown below in the attached image
===========================================================
Explanation:
The letters A through J are one way to fill out the table. Though there are other possible orders.
Start at letter A, which is from the fact we have 40 people total
Then move to letter B. This is the total number who like pasta (26)
We have C = A-B = 40-26 = 14 people who don't like pasta
--------------
Now move to cell D. This is the total who don't like netball, which is 21 people. There are E = A-D = 40-21 = 19 people who do like netball.
F = 4 is the number of people who don't like either thing (netball or pasta). So G = D-F = 21-4 = 17 people like pasta but don't like netball.
Of those people who like netball (E = 19), we have 9 who also like pasta. This is in cell H in the upper left corner. This means J = E-H = 19-9 = 10 people like netball but don't like pasta.
----------------
So we have these values
A = 40B = 26C = 14D = 21E = 19F = 4G = 17H = 9 J = 10
Adbul made $169 for 13 hours of work at the same rate how much would he make for 18 hours of work
Answers
Answer:
He would make $234.00.
Step-by-step explanation:
Divide $169 by 13 hours, this will tell you how much money he earns every hour. $169 divided by 13 = $13. Now, you know that Adbul makes $13 per hour. Then, multiply $13 by 18 hours of work. $13 x 18 = $234.00.
That is your answer!
A company produces two products: A and B. The relative market values at the split-off point are not available. For every $300,000 of joint costs, Product A produces 10,000 pounds, and Product B produces 40,000 pounds. The amount of joint costs allocated to Product B using the physical quantities method is $
Answers
The joint costs allocated to Product B is $240,000.
What is amount of joint costs allocated to Product B?We must allocate joint costs based on the relative physical quantities produced by each product.
The total physical quantity produced by both products is:
= Quantity of A + Quantity of B
= 10,000 + 40,000
= 50,000 pounds
We will calculate the proportion of physical quantity produced by product A:
= Quantity of B / Total physical quantity
= 40,000 / 50,000
= 0.8
The amount of joint costs allocated to Product B is will be
= Total joint costs x Proportion of
= $300,000 x 0.8
= $240,000.
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NEED HELP ASAP! Which number is between -0.49 and 0.01 on a number line?
Answers
Answer:
-0.48 -0.47-0.46-0.45 -0.44 -0.43 -0.42 -0.41 -0.40 all the way to -0.01 or 0
Step-by-step explanation:
Select the correct answer.
Which equation has only one unique solution?
A. -4|x|+ 1 = -3
B. 9-|12x-1|=9
C. |x-2|-7= 7
D. |13-x|= 3
Answers
Answer:
9-|12x-1|=9
Step-by-step explanation:
Solve for x over the real numbers:
9 - abs(12 x - 1) = 9
Subtract 9 from both sides:
-abs(12 x - 1) = 0
Multiply both sides by -1:
abs(12 x - 1) = 0
Eliminate the absolute value:
12 x - 1 = 0
Add 1 to both sides:
12 x = 1
Divide both sides by 12:
Answer: x = 1/12
Answer:
Answer is B
Step-by-step explanation:
Determine whether the following individual events are independent or dependent. Then find the probability of the combined event.
In a town where 1/4 of the days are sunny and 3/4 are cloudy, the next six days are all sunny.
Answers
The probability of the combined event that the next six days are all sunny is 1/4096
How to determine the probability all days being sunny?From the question, we have the following parameters that can be used in our computation:
Probability that it is sunny = 1/4
Probability that it is cloudy = 3/4
Number of days = 6
The probability for all six days, it is sunny is represented as
Probability = Probability that it is sunny^Number of days
Substitute the known values in the above equation, so, we have the following representation
Probability = (1/4)⁶
Express as decimal
Probability = (0.25)⁶
Evaluate the exponent
Probability = 1/4096
Hence, the probability is 1/4096
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Ten upright dominos of increasing height are lined up to be knocked down. The dominos are numbered 0 to 9. The smallest domino, #0, is 3.00 inches tall and will be toppled by a person to start the chain reaction. Each subsequent domino is 15% taller than the one before. What is the height of domino #9?
Answers
Answer:
8.604 in.
Step-by-step explanation:
We can use the formula for compound interest to find the height of domino #9:
A = P(1 + r)^n
where A is the final amount, P is the initial amount, r is the growth rate, and n is the number of compounding periods. In this case, P is the height of domino #0, r is 15% or 0.15, and n is 9 (since we want to find the height of domino #9).
Substituting the given values:
A = 3.00 in * (1 + 0.15)^9
Simplifying:
A = 3.00 in * 2.86797199
A ≈ 8.604 in
Therefore, the height of domino #9 is approximately 8.604 inches.
43,5 multiplicado por 8,6 y que la explicación o la operación venga incluida porfavor
Answers
Answer:
la respuesta correcta es 374.10
