A car can travel 120 miles on 4 gallons of gasoline. How much gasoline will it need to go 510 miles?
Answer:
17
Step-by-step explanation:
The demand d for a company’s product at cost x is predicted by the function d(x) = 500 – 2x. The price p in dollars that the company can charge for the product is given by p(x) = x + 5. Use the formula Revenue = price × demand to find the revenue function for the product.
R(x) = ________ + ________ x – _______ x^2
Answer:
-2x²+490x+2500
Step-by-step explanation:
Given that,
Demand, D(x) = 500-2x
The price for the product, P(x) = x+5
We need to find the revenue for the product. The formula for the revenue is given by :
Revenue = price × demand
Substitute all the values,
R = (x+5)(500-2x)
= 500x -2x² + 2500 -10x
= -2x²+490x+2500
So, the expression for the revenue function is "-2x²+490x+2500".
A furniture rental store charges a down-payment of $100 and $72.50 per month for a table. Hilde paid $535 to rent the table. Solve 72.50n + 100 = 535 to find the number of months Hilde rented the table.
Answer:
6 months
Step-by-step explanation:
First, subtract 100 from both sides
72.50n + 100 = 535
72.50n = 435
Divide each side by 72.50
n = 6
So, Hilde rented the table for 6 months
PLZ HELP ME ON THE QUESTION!!
If 4(x - 2) − 2(x + 5) = 8, what is the value of x?
Answer:
x=13
Step-by-step explanation:
Answer:
x = 13
Step-by-step explanation:
13 - 2 = 11 x 4 = 44
13 + 5 = 18 x 2 = 36
44 - 36 = 8
I hope this helps you! :D
help and ill make u brainliest Calculate the surface area of the cylinder.
Note: Figure not drawn to scale.
a. 500 cm^3
b. 301.7 cm^2
c. 140.4 cm^2
d. 351.9 cm^2
Answer:
[tex] d. 351.9 {cm}^{2} (ans)[/tex]
Step-by-step explanation:
Given,
Radius of the cylinder = 4cm
Height of the cylinder = 10 cm
Therefore,
Surface area of the cylinder
[tex] = 2\pi r(r + h)[/tex]
[tex] = 2 \times 3.15 \times 4(4 + 10) {cm}^{2} [/tex]
[tex] = 351.86 {cm}^{2} [/tex]
[tex] = 351.9 {cm}^{2} (ans)[/tex]
How to write 720,981 in word form!
Answer:
seven hundred and twenty thousand, nine hundred and eighty-one
Step-by-step explanation:
Answer:
720,981
seven hundred and twenty thousand ,nine hundred and eighty one
What is the value of x?
Answer:
20Step-by-step explanation:
All of its side are equal so it is an equilateral triangle. And as we all know an Equilateral triangle has 3 equal angles.
So based on this we can solve it using algebra,
[tex]3x + 3x + 3x = 180[/tex]
So using this we can find the value for x
[tex]9x = 180 \\ x = \frac{180}{9} \\ x = 20[/tex]
This is your answer hope it helps :)
Solve for x:
I need a answer with an explanation. Algebra 1
Answer: x = -1
Step-by-step explanation:
You need to convert to the same base
[tex]\frac{1}{16} = \frac{1}{2^{4} } = 2^{-4}[/tex]
So
[tex]2^{-4} = 2^{-2x-6}[/tex]
For these values to be equal, the exponents have to be equal
-4 = -2x - 6
2 = -2x
x = -1
ver resposta das frações 1/5÷3/7
Answer:
7/15
Step-by-step explanation:
[tex]\frac{1}{5} / \frac{3}{7}\\\\\frac{1}{5} *\frac{7}{3} \\\\\frac{1*7}{5*3}=\boxed{\frac{7}{15}}[/tex]
Hope this helps.
For f(x) = 5x+1 find f(-4)
0 1
0-21
21
0 -19
Answer:
21 you is smart 8th
Step-by-step explanation:
smart smart 99
write the first four terms of the sequence
the rule is: start at 3 1/8, subtract 3/4
Answer:
start at 3 1/8
1st teem = 3 1/8
2nd term = 3 1/8 - 3/4
= 25/8 - 3/4
= 25/8 - 6/8
=19/8
= 2 3/8
3rd term = 2 3/8 - 3/4
= 19/8 - 3/4
= 19/8 - 6/8
=13/8
= 1 5/8
4th term = 1 5/8 - 3/4
= 13/8 - 3/4
= 13/8 - 6/8
=7/8
Step-by-step explanation:
Hi I need help plzzzzzzz
divide 405 in the ratio 4:11
Step-by-step explanation:
Answer is in the photo
Hope it helllps
Good luck
The division of the number 405 in the ratio 4:11 is 297 and 108 respectively.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that the ratio is 4:11. the number is 405 which has to be divided by the ratio.
Let the common ratio between the numbers is x. Form an equation and solve for x.
4x + 11x = 405
15x = 405
x = 405 / 15
x = 27
The numbers are,
4x = ( 4 x 27 ) = 108
11x = ( 11 x 27 ) = 297
Therefore, the division of the number 405 in the ratio 4:11 is 297 and 108 respectively.
To know more about ratios and proportions follow
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Is 1/3 of 27 greater or smaller than 27?
Answer:
This has got to be the easiest question I've seen on here so far.
1/3 of 27 ???
Of course it'll be smaller since it's a fraction of the whole number. 1/3 of 27 is 9
I need help, with this
Which function is equivalent to g(x) = x2 + 15x – 54?
g(x) = (x + 9)(x – 6)
g(x) = (x – 9)(x + 6)
g(x) = (x – 18)(x + 3)
g(x) = (x + 18)(x – 3)
Answer:
g(x)=(x+18)+(x-3)
Step-by-step explanation:
The function i.e. g(x)=(x+18)(x-3) equivalent to the given equation.
Given that,
The equation is [tex]g(x) = x^2 + 15x - 54[/tex].We need to solve it.
Based on the above information, the calculation is as follows:
[tex]g(x) = x^2 + 15x - 54[/tex]
[tex]x^2 + 18x - 3x - 64\\\\x (x + 18) - 3(x + 18)\\\\(x +18 ) (x - 3)[/tex]
Learn more: brainly.com/question/17429689
I don't understand how to solve Sequence dots? Can you show me step by step how to solve the first one A?
Answer how but just put it on brainly
Step-by-step explanation:
it tells you the answer
Please help What is a= and b=?
10
Favorite Book Types
3%
Romance
Comedy
16%
Fantasy
14%
Science
Fiction
1896
Mystery
10%
Historical
Fiction
If 300 people were surveyed. How many people like comedy as their favorite book? *
(10 Points)
O 39
O 183
O 117
O 54
Answer:
117
Step-by-step explanation:
By adding the percentages given: 3+16+14+18+10
you get 61%
multiply 300 by .61 or 61%
you get 183
subtract 183 from 300
you are left with 117 which is the answer
1.which side of AFED does AB in AABC correspond to?
2.which side in AFED does CB in AABC correspond to?
3.which side in AFED does AC in AABC correspond to?
4.what scale factor was used in the dilation of AABC to AFED?explain how you found the scale factor.
5.what is the length of side DE?show how you found this length.
6.use the pythagorean theorem to find the length of side FD.show your work
Rotate one of them so the right angle is in the same orientation as the other one.
1. AB = DE
2. CB = FE
3. AC = DF
4. Compare the length of two known sides: cb and EF
CB = 3 and EF = 8
8/3 = 2 2/3 scale factor
5. Ab is side de. Multiply the length of ab by the scale factor:
4 x 2 2/3 = 10 2/3
6. FD = sqrt ( 10 2/3^2 + 8^2)
FD = 13 1/3
Convert the equation y= 2x2 + 2x - 4 into intercept form.
An airplane is flying diagonally across the state of Colorado. This state and its
dimensions are represented by the rectangle on the map shown.
280 mi
385 mi
Based on the measurements shown in the map, which measurement is closest to the
distance in miles the airplane will fly along the diagonal?
A
665.0 mi
B
25.8 mi
с
36.4 mi
D
476.1 mi
Find the exact Value
Sin 75 - sin 15° using
sum-to product formula
Answer:
Prefer the attachment for ur ans.
f(x) = V22
g(x) = V322
Find (f .g)(x). Assume x2 0.
O A. (f.g)(x) = 8x
B. (f.g)(x) = 8VC
O c. (f.g)(x) = 32x
D. (f.g)(x) = V34x
Answer:
Step-by-step explanation:
g(x) = √(32x) = √(2⁵x) = 4√(2x)
(f∘g)(x) = f(g(x))
= f(4√(2x))
= √(2 ⋅ 4√(2x))
= √(8√(2x))
= √8∜2∜x
= ∜(2⁷x)
= ∜(128x)
which doesn’t match any of the choices. There’s an error in the question.
I believe that the functions were written incorrectly and the x should not be part of the radicands (see attachment). That makes the answer A.
Sarah took clothes to the cleaners three times last month. First, she brought 2 shirts and 1 of slacks and paid $9.97. Then she brought 5 shirts, 3 pairs of slacks, and 1 sports coat and paid $34.91. Finally, she brought 3 shirts and 2 sports coats and paid $22.45.
How much was she charged for each shirt, each pair of slacks, and each sports coat?
Answer:
Each Shirt costs: $1.49
Each Slack costs: $4.49
Each Sport coat costs: $7.99
What is measurement angle B?
Answer: 80 degrees
Step-by-step explanation:
Answer:
B = 54 to the nearest degree.
Step-by-step explanation:
Remark
This is a sine law question. They can be rather nasty because no answer or 2 answers are possible. This one is well behaved because B, you are told, is acute. The two answer kind needs the supplement of an acute angle.
Sorry this blabs on and shouldn't. You are looking for <B
Formula
Sin(<B)/the side opposite = Sin(<A) / side opposite it
Simplified
Sin(<B) / 9 = Sin(A)/11
Sin(<B) / 9 = Sin(80) / 11 Multiply both sides by 9
9*Sin(B) / 9 = 9 * Sin(80) /11 The 9s Cancel
Now all you need to do is put it in your calculator. Do you need the steps?
Sin(B) = 9*sin(80) / 11
Sin(B) = 9 * 0.9848 /11
Sin(B)= 0.8058
B = Sin-1(0.8058)
B = 53.68
B = 54
what is the slope of a line passing through (2,-3) and (5,1)?
Answer:
The slope of the line is ⁸/₅, or 1.6
Step-by-step explanation:
Slope is equal to Δy/Δx, so we have:
(1 - (-3)) / (5 / 2)
= 4 / 2.5
= 8 / 5, or 1.6
Please help me!!!!!!!!! 600 divided by 60 equals?
Lucas is having the Sunday blues and hoping for a snow day this week. He measures that there are currently 10
inches of snow on the ground.
The forecast for Monday is a 50% chance of 2.5 inches of snow. If it doesn't snow, 1.5 inches of snow will melt.
The forecast for Tueſday is a 50% chance of 1.5 inches of snow. If it doesn't snow, 0.5 inches of snow will melt.
The weather on Monday and Tuesday are independent events.
If X is a random variable that represents the amount of snow on the ground after Tuesday, drag the bars to
graph the probability distribution for all possible values of X.
Answer:
All probablities are 0.25
Step-by-step explanation:
Got it right on Khan
From the given question, we can see that there is currently ten inches of snow.
With this in mind, we can see that the weather forecast for Monday is 50% probability for 2.5 inches of snow which is 1/2 for 2.5 inches of snow.
Furthermore, if it does not snow, then there would be 2.5-1.5= 1.0 inches of snow
Additionally, the weather forecast for Tuesday is 50% probability for 1.5 inches of snow which is 1/2 for 2.5 inches of snow.
Furthermore, if it does not snow, then there would be 1.5-0.5= 1.0 inches of snow
Given that the weather on Monday and Tuesday are independent events, then all the probabilities would be 1/2:1 which would be 0.5 inches of snow.
With this in mind, all the probabilities for chances of snow is 0.25
Therefore, we can see that all the possible values of x would be 0.25
Read more about probability here:
https://brainly.com/question/24756209
what is the feet and in47 in = ? ft ? in
Answer:
3.167
Step-by-step explanation:
Hope this helps