Answers
Answer:
1. C(d)=0.69x+25.95
2. C(d)=0.69(57)+25.95
[0.69 times 57 is 39.33]
= 65.28 dollars
3. 136.3 miles
Step-by-step explanation:
For the first question....
Since this is a function, we have to start with C(d). Even if you drive 0 miles, you still have to pay $25.95 just for renting the truck, so that is constant. For every mile you drive, you pay $0.69. Since we don't know how far anyone is going to drive, we will put 'x' as the amount of miles driven. The number of miles driven (x) multiplied by 0.69 will be the cost of that. The final function would be C(d)=0.69x+25.95.
For the second question....
We know the general function now, so driving 57 miles would mean substituting "x" for 57, and doing the multiplication (if necessary), 0.69 times 57 equals 39.33 (the dollar amount for driving 57 miles, not including the starting fee of 25.95)
Doing the math, you can get $65.28 (39.33+25.95).
For the third question...
If we have a budget, we know that C(d) is the amount of money spent, so we'll substitute the budget (120) for that. We'll solve the equation for x from there, and should get 136.3 miles (rounded to the nearest hundredth).
Hope this helps!
Related Questions
I need help with my geometry homework.
Answers
Step-by-step explanation:
5x + 80 = 180
x = 20
2x = 40
3x=60
7x=140
A triangle has angle measurements of 63°, 38°, and 79°. What kind of triangle is it?
Answers
Please help and explain this to me!! I am confused and would like to know how to solve!!
Answers
Answer:
The sum of the numerators is incorrect.
The one where -1/2 is the final answer.
Step-by-step explanation:
-5/8 + 1/8 does equal (-5 + 1)/8. However, -5 + 1 is not equal to -6. It is equal to -4. -4/8 would simplify down to -1/2, which is the correct answer.
The price of an item has been reduced by $3.49. The new sale price is $31.38. What was the original price?
Answers
Add the amount it was reduced to the new price:
3.49 + 31.38 = 34.87
Original price = $34.87
Answer:
When finding the unknown original price, add the sale reduction to the new sale price to get the old sale price.
[tex]3.49 + 31.38 = 34.87[/tex]
Therefore, the original sales price was 34.87
Lester bought 4.83 pounds of bologna at the deli. Renee bought 2.3 pounds
of bologna. How many times more bologna did Lester buy than Renee?
Answers
Answer:
i think it is 2.1
The highest mark in the Science test was 74. Three students scored 49 which was five marks higher than the lowest score. What was the range of scores?
Answers
Answer:
25
Step-by-step explanation:
you subtract the highest number
Answer:
The "range" of a set of numbers is just the difference between the biggest number and the smallest number. (The maximum "far-apart-ness" of the scores).
Hope this helps you!!
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Nakeisha's family took a road trip to Mount Rushmore. Nakeisha fell asleep 18% of the way through the trip. If the total length of the trip was 400 miles, how many miles had they travelled when Nakeisha fell asleep?
Answers
Answer:
72 miles ....then she snored off
Step-by-step explanation:
18 % of 400 = .18 * 400 = 72 miles
The fox observed that the tortoise plodded along at a rate of 20 meters per minute throughout the 1000-meter race.
1. Complete the table below indicating the distance traveled by the tortoise in the time elapsed.
Answers
The values that are required to complete the table above indicating the distance traveled by the tortoise in the time elapsed are calculated below.
How to calculate the distance traveled?Mathematically, the distance traveled by the tortoise would be calculated by using this formula:
Distance = speed (rate) × time
When time = 1 min, we have:
D₁ = 20 × 1
D₁ = 20 meters.
When time = 2 min, we have:
D₂ = 20 × 2
D₂ = 40 meters.
When time = 3 min, we have:
D₃ = 20 × 3
D₃ = 60 meters.
When time = 4 min, we have:
D₄ = 20 × 4
D₄ = 80 meters.
When time = 5 min, we have:
D₅ = 20 × 5
D₅ = 100 meters.
When time = 6 min, we have:
D₆ = 20 × 6
D₆ = 120 meters.
When time = 7 min, we have:
D₇ = 20 × 7
D₇ = 140 meters.
When time = 10 min, we have:
D₁₀ = 20 × 10
D₁₀ = 200 meters.
When time = 15 min, we have:
D₁₅ = 20 × 15
D₁₅ = 300 meters.
When time = 20 min, we have:
D₂₀ = 20 × 20
D₂₀ = 400 meters.
When time = 25 min, we have:
D₂₅ = 20 × 25
D₂₅ = 500 meters.
When time = 30 min, we have:
D₃₀ = 20 × 30
D₃₀ = 600 meters.
When time = 35 min, we have:
D₃₅ = 20 × 35
D₃₅ = 700 meters.
When time = 40 min, we have:
D₄₀ = 20 × 40
D₄₀ = 800 meters.
When time = 50 min, we have:
D₅₀ = 20 × 50
D₅₀ = 1,000 meters.
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The commissioner of the state police is reported as saying that about 10% of reported auto thefts involve owners whose cars haven't really been stolen. What null and alternative hypotheses would be appropriate in evaluating this statement made by the commissioner?
A. H0: p ≥ 0.10 and H1: p < 0.10
B. H0: p ≤ 0.10 and H1: p > 0.10
C. H0: p > 0.10 and H1: p ≤ 0.10
D. H0: p = 0.10 and H1: p ≠ 0.10
Answers
The appropriate null and alternate hypotheses are (d) H0: p = 0.10 and H1: p ≠ 0.10
How to determine the hypotheses?From the question, we understand that:
The proportion of reports that have their cars stolen is given as 10%
Null hypothesis is represented with the equality sign.
So, the null hypothesis is H0: p = 0.10
The alternate hypothesis is represented with the unequal sign.
So, the alternate hypothesis is H1: p ≠0.10
Hence, the appropriate hypotheses are (d) H0: p = 0.10 and H1: p ≠ 0.10
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Worth 100 points if answered: 2 PARTS!
Answers
Answer: The answer is 18 bread pieces
Step-by-step explanation:
SECOND ONE he will need 9 loafs of bread because 108 divided by 12 equals 9 so he will ned 9 loafs
Consider the following expression
5(7a+2)(1+6)
Select all of the true statements below.
Answers
Answer:
a and d are both true. The rest are not.
Step-by-step explanation:
1 and 6 are like terms. They are both integers. They can be combined. This statement is true.
7 is a numerical coefficent. This statement is true.
===========================================
The others are all false for one reason or another
b is false. The factor is made up of 2 terms not 3. 7a is one term.
c is false. "a" is a variable. So the whole term can be anything.
e is false. 7a + 2 is a factor
f is false. There are two true statements.
Mia's new puppy weighed 3 1/5 pounds
at 4 weeks old. At 16 weeks old, the
puppy weighed 9 1/7 pounds. By what
factor did the puppy's weight increase
during that period?
Answers
Answer:By a factor of 2 6/7.
Step-by-step explanation:
That would be 9 1/7 divided by 3 1/5
= 64/7 / 16/5 Invert the dividing fraction:
= 64/7 * 5/16
= 4/7 * 5
= 20/7
= 2 6/7.
Step-by-step explanation:
Giving brainliest :D (show steps in a simple way ty!)
Answers
Answer:
5xsquared+x+5
Step-by-step explanation:
first combine x squared with 4x squared and you will get 5xsquared.
next combine 6x and -5x and you will get 1x or just simply x. Finally combine 3 and 2 (3+2) = 5.
Need to show work for limits
Answers
Answer:
[tex]\displaystyle \lim_{x \to -\infty} (-7x^5 + x^3) = \infty[/tex]
General Formulas and Concepts:
Calculus
Limits
Limit Rule [Variable Direct Substitution]:
[tex]\displaystyle \lim_{x \to c} x = c[/tex]
Step-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle \lim_{x \to -\infty} (-7x^5 + x^3)[/tex]
Step 2: Evaluate
[Limit] Apply Limit Rule [Variable Direct Substitution]:[tex]\displaystyle \lim_{x \to -\infty} (-7x^5 + x^3) = -7(- \infty)^5 + (- \infty)^3[/tex]
Recall that x⁵ is a "faster" function than x³. Also recall that we have 2 negatives, which would turn positive. Therefore, we can ignore the 2nd part of the limit and focus on the first:
[tex]\displaystyle \begin{aligned}\lim_{x \to -\infty} (-7x^5 + x^3) & = -7(- \infty)^5 + (- \infty)^3 \\& = -7(- \infty)^5 \\& = -7(- \infty) \\& = 7(\infty) \\& = \boxed{\infty} \\\end{aligned}[/tex]
∴ we have found the limit to equal infinity.
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
The volume of a rectangular prism is
300 in. If the length is 10in, the width
is 2 in, what is the height?
Answers
Answer:
The Height is 15in
Step-by-step explanation:
V=L.W.H
300=10x2xH
300=20xH
300/20=H
H=15in
Suppose you draw a card from a well-shuffled deck of 52 cardsWhat is the probability of drawing a 2 or a queen?
Answers
[tex]\frac{2}{13}[/tex]
Step-by-step explanation:Probability is finding the chance that some specific outcome will occur. In this case, we are looking for the probability of one of two outcomes.
Equally Likely Outcomes
When drawing a card from a well-shuffled deck, all outcomes (cards) are equally likely to be drawn. Each card was a 1/52 probability of occurring.
Probability of Two Outcomes
In a deck of cards, there are 4 cards of each number. This means that the probability of drawing a 2 is 4/52, the same for a queen.
So, to find the probability of one of the two desired outcomes is equal to adding the probabilities together.
[tex]\frac{4}{52} +\frac{4}{52} =\frac{8}{52}[/tex]This fraction can then be simplified further:
[tex]\frac{2}{13}[/tex]Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
Answers
Wen painted 3/10 of her living room yesterday and 4/10 to today. What fraction of the room has she painted so far?
Answers
Answer:
7
Step-by-step explanation:
3/10+4/10 =7/10
Answer:
7/10, or 70%
Step-by-step explanation:
You just add the fractions together and get 7/10. You could also find a common denominator and the add them together. You would do, 9/30+ 12/30= 21/30, or 7/10.
A complex number will, in general, have _____ fourth complex roots.
Answers
Answer:
A complex number will, in general, have five(5) fourth complex roots.
Step-by-step explanation:
We know that the nth complex roots of unity are graphically represented on a unit circle such that there are a total of n roots located at a distance by an angle of
Hence, here we are asked to find the number of complex roots of fifth complex roots.
i.e. n=5
Hence, we have five(5) fifth complex roots.
Use 2-3 sentences to explain, in your own words, the difference between an angle of elevation and an angle of depression. Use geometry vocabulary.
Answers
Find the standard equation of the circle with center (5, -3
and with a point on the circle (-3,3)
Answers
Answer:
○ C
Explanation:
Accourding to one of the circle equations, [tex]\displaystyle (x - h)^2 + (y - k)^2 = r^2,[/tex]the centre of the circle is represented by [tex]\displaystyle (h, k).[/tex]Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared. Now, in case you did not know how to define the radius, you can choose between either method:
Pythagorean Theorem
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 6^2 + 8^2 = r^2 \hookrightarrow 36 + 64 = r^2 \hookrightarrow \sqrt{100} = \sqrt{r^2} \\ \\ \boxed{10 = r}[/tex]
Sinse we are dealing with length, we only desire the NON-NEGATIVE root.
Distanse Equation
[tex] \displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = d \\ \\ \sqrt{[-5 - 3]^2 + [3 + 3]^2} = r \hookrightarrow \sqrt{[-8]^2 + 6^2} = r \hookrightarrow \sqrt{64 + 36} = r; \sqrt{100} = r \\ \\ \boxed{10 = r}[/tex]
Sinse we are dealing with distanse, we only desire the NON-NEGATIVE root.
I am joyous to assist you at any time.
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In a house, there is a vase in the shape of a cylinder. The cylinder has a diameter of 12 inches and a height of h inches.
Which equation can be used to find V, the volume of the cylinder in cubic inches?
V= π 6²h
V = π(6h)²
V = π 12²h
V = π(12h)²
Answers
Answer:
V = π 12²h because i dont know where 6² came from.
just go with either 3 or 4.
Given sides a-10, b=5 and angle ZA-100°. Find the corresponding value for ZB. Options: A 60° B 5° D -29.5° C 29.5°
Answers
The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. The measure of the ∠B=29.5°.
What is Sine rule?The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. It is given by the formula,
[tex]\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}[/tex]
where Sin A is the angle and α is the length of the side of the triangle opposite to angle A,
Sin B is the angle and β is the length of the side of the triangle opposite to angle B,
Sin C is the angle and γ is the length of the side of the triangle opposite to angle C.
Given that sides a=10, b=5 and the measure of the ∠A=100°. Therefore, the using the sine law,
[tex]\rm \dfrac{Sin\ A}{a} = \dfrac{Sin\ B}{b}[/tex]
[tex]\rm \dfrac{Sin\ 100^o}{10} = \dfrac{Sin\ B}{5}\\\\\rm \dfrac{(Sin\ 100^o) \times 5}{10} = Sin\ B\\\\Sin\ B = 0.04924\\\\\angle B = 29.498^o \approx 29.5^o[/tex]
Hence, the measure of the ∠B=29.5°.
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A party hat shaped like a cone requires about 66 square inches ( Surface Area ) of paper to make. If the slant height is 7 inches, how wide is the hat?
Answers
Answer:
6 inches
Step-by-step explanation:
Solving
Curved Area = π x r x slant height66 = 3.14 x 7 x rr = 66/21.98 ≅ 3 inchesWidth of the hat
Diameter of the cone2 x Radius2 x 3 = 6 inchesAnswer:
6.00 in (nearest hundredth)
Step-by-step explanation:
Lateral surface area = surface area excluding the bases(s)
Lateral surface area of a cone = [tex]\pi rs[/tex]
(where r is the radius and s is the slant height)
Given:
lateral surface area ≈ 66 in²slant height (s) = 7 in[tex]\implies 66= \pi r \cdot 7=7 \pi r[/tex]
[tex]\implies r=\dfrac{66}{7 \pi}[/tex]
The width of the hat is the diameter. As diameter = 2r:
[tex]\begin{aligned}\implies \textsf{width} & =2 \cdot \dfrac{66}{7 \pi}\\\\ & =\dfrac{132}{7 \pi}\\\\ & = 6.00\: \sf in\:(nearest\:hundredth)\end{aligned}[/tex]
Which term describes the set of all possible outcomes for a probability event? A. Sample space B. Empirical probability C. Elements OD. Likelihood
Answers
Answer:
Sample Space
Step-by-step explanation:
what is 9x-2=(3x+9) + (5x) ?
Answers
9x - 3x - 5x = 2 + 9
x = 11
9x-2=3x+9+5x
9x-2=8x+9
Add 2 to both sides
9x-2=3x+9+5x
9x-2+2=8x+9+2
Simplify
9x=8x+11
Subtract 8x from both sides
9x=8x+11
9x-8x=8x+11-8x
X=11
To be able to buy a new computer, Yoko decides to save for 5 years. She opens a savings account with $400. The account pays simple interest at an annual rate of 2%. She doesn't make any more deposits.
(a) How much total interest will Yoko earn?
(b) What will the total amount in the account be (including interest)?
Answers
Answer:
A) $40 total interest
B) $440
find KM ( SHOW YOUR WORK )
Answers
Click to see image, giving brainlyest and thanks
Answers
Answer:
400 visitors were there for 65 and over
Step-by-step explanation:
20÷100×2000
20÷100=0.2
0.2×2000=200
hope it will help you
Create an equation that describes the greatest horizontal length, H, in terms of the greatest vertical length, V.
Answers
The equation that describes the greatest horizontal length, H, in terms of the greatest vertical length, V is H = 2V + 3.
How to compute the equation?Your information is incomplete. Therefore, an overview will be given.
Let's assume that the value of the horizontal length is 3 plus twice the value of the the vertical length. This will be:
H = (2 × V) + 3
H = 2V + 3
In conclusion, the equation is H = 2V + 3.
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