The total charge in dollars for a car rental can be determined by using the function c = 0.4x + 35, where c represents the total cost of the rental and x represents the total distance traveled in miles. Which statement justifies that the total cost for renting this car and driving a distance of 100 miles is $75.00? The total cost increases $0.40 for every 35 miles traveled. The total cost increases $35.00 for every 40 miles traveled. There is an initial charge of $35.00 for every mile traveled. The cost increases $0.40 for every mile traveled after an initial charge of $35.00.
Answer:
There is an initial charge of $35.00 for every mile traveled.
Step-by-step explanation:
From the question, the cost function s given as follows:
c = 0.4x + 35 .................... (1)
Where;
Total cost = c
Variable cost per mile = $0.40
Number of miles traveled = x
Total variable cost = 0.4x = 0.40 * x
Fixed cost = Initial cost = $35
From the above, the fixed cost or initial cost implies that no matter the number of miles a passenger takes, he is going to pay $35 in addition to the variable cost to pay.
From the question, for driving a distance of 100 miles we have:
Number of miles traveled = x = 100
Total variable cost = 0.40 * 100 = 40
Substituting the relevant value into equation (1), we have:
c = 40 + 35
c = 75
Since the total cost obtained above is $75.00, it therefore implies that the correct statement that justifies that the total cost for renting this car and driving a distance of 100 miles is $75.00 is "There is an initial charge of $35.00 for every mile traveled".
can u pls help me with this question
Answer:
A is correct
Step-by-step explanation:
Answer:
it's A -2/9
Step-by-step explanation:
it's A
it's A
At a zoo, 7 monkeys ate 35 bananas in one day. At
this rate how many bananas could 21 monkeys
eat in one day?
SUM! HELPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!ASAPPPP
Answer: 105
Step-by-step explanation: 35 divided by 7 = 5 , so one monkey eats 5 bananas. 21 x 5 = 105
Hope this helps!
Answer:
105 bannanas
Step-by-step explanation:
Because if 21 is 3 times more than 7 then you have to multiply 35 times 3 to get the amount of bannanas 3 times more monkeys can eat.
Have a great day!
Helpppp please xxxxxxxxx
Answer:
SV= 26
VST=40
Step-by-step explanation:
What is the answer to 5/8 + 1/2
Answer:
9/8 or 1 1/8
Step-by-step explanation:
Answer:
9/8 or 1 1/8
Step-by-step explanation:
find common denominator, its 8 for this problem so put [tex]\frac{1}{2} = \frac{4}{8}[/tex]
[tex]\frac{5}{8} +\frac{4}{8} = \frac{9}{8}[/tex]
Why is pi named pi? I like pie tho.....
Answer:
it was first called "pi" in 1706 by William Jones, because pi is the first letter in the Greek word perimitros, which means "perimeter."
What is the base and height of this parallelogram?
2. Polygon KLMN is similar to polygon PQRS. What is the length of QR?
A. 16 m
B. 9 cm
C. 8 cm
D. 6 cm
Answer:I think it c
Step-by-step explanation:
Answer:
Is letter D. X=6.
Step-by-step explanation:
3/4.5= 4/QR
18/3=6
HELP ME PLEASE!!! A Kite flying in the air has a 12 feet line attached to it. It's line is pulled and cast an 11 feet shadow. Find the height of the kite. If necessary round your answer to the nearest 10th
Step-by-step explanation:
By Pythagoras' theorem,
12^2 = 11^2 + height^2
height = ±√12^2 - 11^2 (rej -ve value since height > 0)
height = 16.279 (5sf) = 16.3 (nearest tenth place)
Topic: Pythagoras theorem
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
these bugs are not drawn up to scale what does that mean
It means that they do not have the proper proportions that they normally would in real life. The drawing might be larger or smaller than the bugs but even then it might have the proper proportions, it is only when it has incorrect proportion sizes, that is is considered "not to scale"
I hope this helps :)
Answer:
That means if you measure the bugs from the chart/paper/assignment, the real bugs aren't that size.
Hope that helps and have a great day!
(If you have any questions let me know)
The graph Above shows marines rate while walking. Which of the following is an ordered pair on the graph
3. (05.05)
Which of the following inequalities matches the graph? (1 point)
x<2
y>2
x<2
x>2
Answer:
The inequality x>2 matches the graph.
Step-by-step explanation:
From the graph, it is clear that the shaded graph is heading towards the +ve infinity from the x > 2.
If the inequality includes < or >, we graph the equation as a dotted line.
From the graph, the dotted line indicates that x=2 is not included in the solution of the inequality.
so the interval of the domain of the inequality is: (2, ∞)
Therefore, the inequality x>2 matches the graph.
Subtract 8 from me. Then add 21. If you divide me by 4 and add 21 you get 29. What number am I?
Answer:
19
Step-by-step explanation:
x - 8 + 21 ÷ 4 + 21 = 29
x - 8 + 21 ÷ 4 = 29 - 21
= 8
x - 8 + 21 = 8 x 4
= 32
x - 8 = 32 - 21
= 11
x = 11 + 8
= 19
Therefore the number is 19. A bit confusing to me at first but I solved it :)
Which system of equations has no solution
A plane flies at a steady rate of 40 mph while a second plane flies at a steady rate of 100 mph. The planes are 200 miles apart and fly directly toward each other. In how many hours will they meet?
plz help
times almost up
Answer:
The time the two planes will meet is 1.43 hours
Step-by-step explanation:
Given;
speed of the first plane in positive direction, = 40 mph
speed of the second plane in negative direction(opposite direction) = -100 mph
distance between the two planes = 200 miles
Let the time the two planes will meet = t
the position of the first plane at this time "t" = 40t
the position of the second plane at this time "t" = -100t
(40t)>--------------------------------<(-100t), this space between them is 200 miles.
Thus, the difference in the distance they traveled before meeting should be equal to 200 miles.
40t - (-100t) = 200
40t + 100t = 200
140t = 200
t = 200 / 140
t = 1.43 hours
Therefore, the time the two planes will meet is 1.43 hours
Find the distance between Point A(9, 10) and B(-1,9) to the nearest tenth.
Answer:
10.0
Step-by-step explanation:
see attached for reference.
given two points in the x-y axis (x₁, y₁) and (x₂, y₂)
the distance bettween them is given by
Distance, D = √ ( (x₂-x₁)² + (y₂-y₁)² )
In our case we are given points (9,10) and (-1,9)
substituting these into the formula , we get:
D = √ ( (9-10)² + (-1-9)² )
= √ ( (-1)² + (-10)² )
= √ ( 1 + 100 )
=√101
= 10.04988
= 10.0 (rounded to nearest tenth)
13/15 X 8 give your answer as a mixed number
Answer:
6.93 so in a mixed number is 693/100
What is the area of a rectangle with vertices (-8, -2), (-3,-2),(-3,-6), and (-8,-6) sq units?
Answer:
20 square units
Step-by-step explanation:
If you were to graph the four points(creating a table on desmos is a good option) you would find that one side is 4 units long and the other is 5 units long. You multiply 4 times 5 to get that the area is 20 units squared. :)
Answer:
20 units²
Step-by-step explanation:
A = 4 × 5 = 20 units²
1. Find the unit rate for lessons at Sit and Stay School. Show your work. Write your answer in the space below.
Answer: $8
Step-by-step explanation:
96/12=8/1
Answer: first one = 8
second one = 25
Step-by-step explanation: 96 divided by 12 = 8
125 divided by 25 = 25
g One card is selected randomly from a standard 52-card deck. a. What is the probability of drawing a
Answer:
Probability [Getting a red card] = 1/2
Step-by-step explanation:
Given:
Total number of cards = 52
Find:
Probability [Getting a red card]
Computation:
Total number of red cards = 26
Probability [Getting a red card] = 26/52
Probability [Getting a red card] = 1/2
The sum of two numbers is 47. The greater number is 9 more than the smaller number. Which equation can be used to solve for the smaller number? x + (x + 9) = 47 x − (x + 9) = 47 x(x + 9) = 47 x(x − 9) = 47
I believe the correct answer from the choices listed above is the first option. The equation that can be used to solve the problem would be x + (x + 9) = 47.
The sum of two numbers is 47. ---> x + y = 47 where x is the smaller number and y is the larger.
The greater number is 9 more than the smaller number. -----> y = x + 9
x + ( x + 9 ) = 47
Answer:
x + (x + 9) = 47
Step-by-step explanation:
This equation can be used to solve for
This equation can be used to solve forthe smaller number.
(7 points) Cars arrive at a toll both according to a Poisson process with mean 80 cars per hour. If the attendant makes a two-minute phone call, what is the probability that at least 1 car arrives during the call
Answer:
The probability that at least 1 car arrives during the call is 0.9306
Step-by-step explanation:
Cars arriving according to Poisson process - 80 Cars per hour
If the attendant makes a 2 minute phone call, then effective λ = 80/60 * 2 = 2.66666667 = 2.67 X ≅ Poisson (λ = 2.67)
Now, we find the probability: P(X≥1)
P(X≥1) = 1 - p(x < 1)
P(X≥1) = 1 - p(x=0)
P(X≥1) = 1 - [ (e^-λ) * λ^0] / 0!
P(X≥1) = 1 - e^-2.67
P(X≥1) = 1 - 0.06945
P(X≥1) = 0.93055
P(X≥1) = 0.9306
Thus, the probability that at least 1 car arrives during the call is 0.9306.
Which transformation carries the trapezoid onto itself?
A. a reflection across the line y = 0
B. a rotation of 180° about the point (- 1, 0)
C. a rotation of 180 ° about the origin
D. a reflection across the line x = - 1 -1
Answer: D. a reflection across the line x = - 1
Step-by-step explanation:
First, you can see that the lengths of the top and the base of the figure are different, so we can discard the rotations of 180°, because those will give a different figure.
Now, for reflections, we need to reflect the image around a line of symmetry.
A line of symmetry means that the image at the right of the figure is an exact reflex of the image at the left of the figure, for this particular case, we can find a line x = c. Such that the distance between c and the x-component of the top vertexes is the same for both of them.
(Again, because the top and the bottom have different lengths, there is no line y = b such that a reflection across that line will leave the figure invariant)
The left top vertex is at x = -3
The right top vertex is at x = 1.
We can find the mid-value between them as:
c = (-3 - 1)/2 = -2/2 = -1
Then:
-3 - c = -3 - (-1) = -3 + 1 = -2
1 - c = 1 - (-1) = 2
While the numbers are different (in sign) as those represent distance between points, we only care for the absolute value, in that case:
I-2I = I2I
Then the distances are exactly the same, and we can take c = -1
This means that a reflection about the line x = -1 carries the figure onto itself.
Then the correct option is:
D. a reflection across the line x = - 1
Carol bought a coloring book. It is 11 inches long and 8 inches wide. What is the diagonal length of the book?
Answer:
13.6 inches
Step-by-step explanation:
We can use Pythagorean theorem: [tex]c=\sqrt{a^{2} +b^{2} }[/tex]
Let c be the diagonal length, a for length, and b for width.
Substitute the values.
[tex]c=\sqrt{11^{2}+8^{2} }[/tex]
c=13.6 inches
Okay um “write an expression for “the difference of 10 and x”
Answer:
10 - x
Step-by-step explanation:
Answer:
x-10 or 10-x
Step-by-step explanation:
Pease help ASAP thanks a lot
Answer:
4r^3
Step-by-step explanation:
because the root dived everything into a have
transversal t cuts parallel lines r and s which angles must be congruent to 2?
r and s are parallel lines so the angle 2 and 6 are called, corresponding angles 2 and 3 are opposite angle but 3 and 7 are also interior corresponding angles so 7 and 3 are congruent, and so are 7 and 2 .
the angles must be congruent to 2 are 3, 6 , 7
Answer:
r and s are parallel lines so the angle 2 and 6 are called, corresponding angles 2 and 3 are opposite angle but 3 and 7 are also interior corresponding angles so 7 and 3 are congruent, and so are 7 and 2 .
the angles must be congruent to 2 are 3, 6 , 7
Step-by-step explanation:
A credit card offer comes in the mail with the bold print "0% A.P.R. for New Accounts." Which important piece of information should you find before thinking about signing up?
"What is the A.P.R. after the introductory period ?" you find before thinking about signing up.
An introductory APR seems to be a special rate of interest offered by credit card providers to prospective clients for something like a predetermined period of months following opening a bank account.Numerous credit cards provide promotional APRs upon expenditures buying products, debt transfers, or sometimes both. Such rate was considerably cheaper than the estimated APR, typically as minimal as 0%.
Thus the response above is right.
Learn more about credit cards here:
https://brainly.com/question/14829559
The next two terms of the sequence 4,7,10,13 are...and ----
Question 3: On a recent math quiz, 20 of the 32 students who took the
quiz used a pen and the rest used a pencil. Which of the following is the
ratio of the students who used a pen to those who used a pencil? *
5 to 3
5 to 8
8 to 5
O 13 to 8
Answer:
5 to 8
Step-by-step explanation:
bc u divide the numerator and denominator by 4