Answer:
The indifference point is 20 gallons.
Step-by-step explanation:
Giving the following information:
Quik-Clean Car Wash:
$15 for a car wash plus $2.50 per gallon for unleaded gasoline.
Mighty Clean Car Wash:
$10 for a carwash plus $2.75 per for unleaded gasoline.
First, we need to structure the total cost formula:
Quik-Clean= 15 + 2.5x
Mighty Clean= 10 + 2.75x
x= gallon of gasoline
Now, we equal both formulas and isolate x:
15 + 2.5x = 10 + 2.75x
5 = 0.25x
20 = x
The indifference point is 20 gallons.
Prove:
Quik-Clean= 15 + 2.5*20= $65
Mighty Clean= 10 + 2.75*20= $65
Find the midpoint of JK if J(-7. -5) and K(-3,7).
Answer:
( − 5 , 1 )
Step-by-step explanation:
Use the midpoint formula to find the midpoint of the line segment.
According to a certain country’s department of education, 40.0% of 3-year-olds are enrolled in day care.
What is the probability that a randomly selected 3-year-old is enrolled in day care?
Given parameters:
Percentage of enrollment of 3-year-olds = 40%
Unknown:
Probability that a randomly selected 3-year-old is enrolled in a day care = ?
Probability is the likelihood of an event to occur.
Probability = [tex]\frac{Possible outcome}{Total out come}[/tex]
In this problem, 40% of the total number of 3-year-olds are enrolled in a day care.
We can say, out of every 100 3-year-olds, 40 of them will enroll in day care.
The possible enrollment is 40 and the total is 100;
Input the parameters and solve;
Probability = [tex]\frac{40}{100}[/tex] = [tex]\frac{2}{5}[/tex]
The probability that any randomly selected 3 year old is enrolled in day care is [tex]\frac{2}{5}[/tex]
If Jerry exceeds the speed limit of 65 miles per hour, he runs the risk of receiving a speeding ticket. If represents Jerry's speed, which inequality represents this situation?
A.x _65
C.x 65
If x is his speed, and the speed limit is 65 mph, then the inequality [tex]x > 65[/tex] represents him going over the speed limit.
The inequality [tex]x \le 65[/tex] is when Jerry isn't over the speed limit (so he's going either 65 mph or slower than this).
A water tower holds 26400 gallons of water. The water company can fill the tower at a rate of 20 gallons per minute,
How many hours would it take the water company to all the tower if it is completely empty?
o 22 hours
24 hours
220 hours
0 440 hours
Answer:
22 Hours
Step-by-step explanation:
26400/20 = 1320m
1320m = 22h
22 Hours
I don't understand this question can you help me pls?
Answer:
the answer for the number of stickers in all 4 boxes is 1200.
Step-by-step explanation:
there are 100 stickers in each roll and a box has 3 rolls. There are 12 rolls in total so you would do 100 X 12 which is 1200.
Find the distance and midpoint between the pair of points. A(-1, 0), B(2, -4)
Answer:
distance is 5
midpoint is (1/2,-2)
Step-by-step explanation:
A box has a volume of 456 cubic inches, with a length of 1 foot and a height of 4 inches. Determine the width of the box.
Answer:
114
Step-by-step explanation:
1 x 4 x 114 = 456
Answer:
Width: 9.5 inches
Step-by-step explanation:
We have to convert the 1 foot to 12 inches.
New Dimensions: 12in x 4in x ?in
We multiply the 12 by 4 and we get 48.
Now we divide 456 by 48.
We get: 9.5
9.5in is the width of the box.
A survey of all beings on planet Tott found that 30% preferred joogh
juice to all other juices. If 18 beings preferred joogh juice, how many
beings were surveyed altogether?
Answer: 60
(Sorry for not showing my work)
uhm help pleaseeee <3
They can buy 20 pumpkins
Answer:
they can buy 20 pumpkin
Step-by-step explanation:
250/12.32=20.29222077922
so 20 pumpkin they can buy
1.7(k - 0.3) = 6.7k = 32.01
Find the comthon ratio of the geometric sequence 10,60, 360,...
Answer:
10
Step-by-step explanation:
The common ratio of the geometric sequence 10,60, 360,... is 6.
What are arithmetic and geometric sequence?An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference
d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.
In a geometric sequence numbers are written in the same constant ratio(r).
It means every next number is a multiple of a common constant and the previous number.
r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.
Given, A geometric sequence 10,60, 360,...
We know the common ratio r in a geometric sequence is
r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.
Therefore,
The common ratio in this geometric sequence 10,60, 360,... is,
= 60/10 = 360/60 = 6.
So, The common ratio is 6.
learn more about geometric sequence here :
https://brainly.com/question/12687794
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the number of painted turtles in a pond is one less than half of the number of bullfrogs. Let f represent the number of bullfrogs. Write an expression fro the number of painted turtles
Answer:
X = 1/2f - 1
Step-by-step explanation:
X is how many painted turtles in the pond. This would be the expression that you would you use to find the actual number of turtles, but we are just leaving it at the expression.
3 units right and 4 units down
Answer:
(3, 4)
Step-by-step explanation:
Every chord is NOT diameter. But every diameter is a chord.” Do you agree or disagree with the statement? Justify.
Answer:
Yes
Step-by-step explanation:
The chord is a diameter only if it passes through the center of the circle. And a diameter is a chord because it goes from on point on the circle to another in a straight line.
What is the slope of the line shown in the graph? The answer to choose from: -2, -1, 1/-2, 1/2. I put -2 but I don’t think I’m right-
What ratios are equivalent to 27:9
Answer:
3:1,
Step-by-step explanation:
because if you multiple 3x9=27, and 1x9=9 you get 27:9
At the movie theatre's a medium, 44 oz., coke costs $8.80. What is the price per ounce?
2 cents per ounce.
Work
$8.80 divided by 44
Find the value of an that makes each number sentence true 2/3 x N = 1
Answer:
1 1/2
Step-by-step explanation:
n= 3/2
Decimal Form:
n= 1.5
Mixed Number Form:
n = 1 1/2
Answer below
5*____= 1
Answer:
1
Step-by-step explanation:
just keep the first number and flip the sign and it would be 1 i think idrk
Find a pattern, then select the next two terms of the sequence.
5, 1, 7, 0, 9, –1, 11, . . .
Answer:
-2 and 13
Step-by-step explanation:
the pattern here is annoying to find, but there is one. the first change is -4, then +6, then -7, then +9. The pattern starts at -4, then after that it increases by 2 and changes from a negative to a positive (and can change the other way). After that change it increases by one and changes from a positive to a negative. Essiently, the pattern is add 2 to the pattern and change the sign, then add 1 to the pattern after that and change the sign, infinitely repeating, with the two after 11 being -2 (gotten from +12 because you add 2 to -10 and change the sign) and 13 (gotten from -13 because you add 1 and change the sign of +12).
(4a−a3−3)+(2a3−5a2+8) find the sum
Answer: a3−5a2+4a+5
Step-by-step explanation:
4a+−a3+−3+2a3+−5a2+8
=(−a3+2a3)+(−5a2)+(4a)+(−3+8)
=a3+−5a2+4a+5
15/4 divided by -5/8
Answer:
-6
Step-by-step explanation:
Answer:
-6/1 or just -6
Step-by-step explanation:
15/4 ÷ (-5/8) is -6/1 .
Find the reciprocal of the divisor
Reciprocal of (-5/8) : (-8/5)
Now, multiply it with the dividend
So, 15/4 ÷ (-5/8) = 15/4 × (-8/5)
= 15 × (-8) = -120
4 × (-5) = -20
After reducing the fraction, the answer is -6/1 or just -6.
for a repair job an electrician charges an hourly rate of d dollars plus a flat fee of 50 the electricion charged a total if 114 for a 4-hour repair job. Part B. What is the value of D
Answer:
B. 4d + 50 = 114
Step-by-step explanation:
Given parameters:
Hourly rate = $d/hr
Flat fee = $50
Charge for the 4hrs = $114
Number of hours = 4hrs
To find d;
Total cost = $114;
$114 = Flat fee + (rate per hour x number of hours)
$114 = $50 + 4d
The value of d can be calculate using;
4d + 50 = 114
The value of d is 4d + 50 = 114
Kimora drove with frankie to her mothers house which is 310 miles away. If it took them 6 hours, what was their average speed ?
Answer:
51.6 was the average speed
Step-by-step explanation:
speed= distance/time
(50 points!) Find the missing angles.
A food bank sends a truck with 400 pounds of food pantries every week, and receives a government surplus shipment of 3,200 pounds every other week. If it has 10,000 pounds of food on hand at the beginning of July, how much will it have six weeks later?
help help helplgehiog
Answer:
23
Step-by-step explanation:
117 - 94 should be the correct answer
feel relax and free to ask me any math related question.
find the least number which must be added to 6412 to make it a perfect square
Answer:
The smallest number you can add to 6412 to make it a perfect square is 149. Which would make 6561, and be the square 81
Step-by-step explanation:
Henry sends his hawk with a message to his uncle. The hawk flies out against the wind and returns with the wind, spending 3 hours on the whole trip. How far is Henry's uncle from Henry if the speed of the wind is 5 mph, and the hawk flies 50 mph in quiet weather?
Answer:
Distance between Henry and his uncle is 74.25km.
Step-by-step explanation:
Speed of Hawk with wind = 50+5
=55km/hr
Speed of Hawk against wind = 50-5
=45km/hr
we know that ,
[tex]Distance = speed \times time[/tex]
Let the distance between Henry and uncle is d,
According to the question ,
[tex]\frac{d}{55} + \frac{d}{45} = 3[/tex]
[tex]\frac{9d + 11d}{495} =3[/tex]
[tex]20d = 3\times 495[/tex]
[tex]d =\frac{3\times495}{20}[/tex]
d= 74.25km
Hence , the answer is 74.25km
The relation between speed, time, and distance is used. Then the distance between Henry's uncle from Henry is 74.25 miles.
What is speed?The distance covered in an hour is called speed. it is a scalar quantity.
What is relative speed?The concept of relative speed is used when two or more bodies moving with some speed are considered.
Henry sends his hawk with a message to his uncle.
The hawk flies out against the wind and returns with the wind, spending 3 hours on the whole trip.
We know the relation
[tex]\rm speed = \dfrac{distance }{time}[/tex]
Let the distance between Henry's uncle from Henry be x.
The time of the trip is during the traveling remains constant. That is
[tex]\rm T = T_1 + T_2\\\\T = \dfrac{x}{v_1} + \dfrac{x}{v_2}[/tex]
The speed of the wind is 5 mph, and the hawk flies 50 mph in quiet weather. Then we have
[tex]\rm v_1 = 50 - 5 = 45\\\\v_2 = 50 + 5 = 55[/tex]
Then
[tex]\begin{aligned} \rm \dfrac{x}{45} + \dfrac{x}{55} &= 3\\\\\rm \dfrac{9x + 11x }{495} &= 3\\\\\rm 9x + 11x &= 1485\\\\\rm 20x &= 1485\\\\\rm x &= 74.25 \end{aligned}[/tex]
Thus, the distance between Henry's uncle from Henry is 74.25 miles.
More about the speed link is given below.
https://brainly.com/question/862972
