The Thompson family was moving and hired Town Movers to move them for a fee of $30 plus $15 per hour. City Movers called and offered a fee of $72 plus $8 an hour, which they thought might be a better deal. The family made a graph of the two offers. When would City Movers be the better deal?
Answers
If the Thompsons need the movers for more than 6 hours, City movers would be the better deal. Therefore, option D is the correct answer.
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
Given that, the Thompson family was moving and hired Town Movers to move them for a fee of $30 plus $15 per hour.
Let the number of hours be x.
Now, 30+15x
Movers called and offered a fee of $72 plus $8 an hour, which they thought might be a better deal
72+8x
From the graph, both the movers have same charge at 6th hour and City movers charge is decreasing then compare to Town Movers.
Therefore, option D is the correct answer.
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Related Questions
10. Which graph best represents the equation y = 1.5x -2?
Answers
Find the slope of the line through (2. – 3) and (5. – 3).
Answers
Answer:
Step-by-step explanation: Explanation:
You need to use the formula for slope:
m
=
y
2
−
y
1
x
2
−
x
1
m
represents the slope.
You need to assign each coordinate, but it must correspond.
For example:
In the coordinate
(
2
,
−
3
)
,
2
is
x
1
and
−
3
is
y
1
.
In the coordinate
(
5
,
2
)
,
5
is
x
2
and
2
is
y
2
.
Now you plug this in.
m
=
2
−
(
−
3
)
5
−
2
After this, you need to simplify
m
=
5
3
This may be wrong so double check.
let's solve:-
[tex]the \: formula \:to \: find \: slope \: \bold \green{m = \frac{y2 - y1}{x2 -x1}} \\ \\ \sf{(where \: m \: represents \: the \: slope.)} \\ \\ [/tex]
_________________________Here:-
[tex] \bold \red{\boxed{y2 = - 3} }\\ \bold \red{\boxed{y1 = - 3} }\\ \bold \red{\boxed{x2 = 5}} \: \: \: \\ \bold \red{\boxed{ x1 = 2} }\: \: \: [/tex]
[tex] \large\boxed {\sf{↬putting \: values \: according \: to \: formula}}[/tex]
[tex] \large \bold{↬m = \frac{ - 3 - ( - 3)}{5 - 2}} \\ \\\large \bold{↬m = \frac{ - 3 + 3}{5 - 2} } \: \: \: \: \: \: \: \\ \\ \large \bold{↬m = \frac{0}{3} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \bold\blue{↬m = 0} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
_________________________The diameter, D, of a sphere is 15 cm. Calculate the sphere's volume, V.
Use the value 3.14 for a, and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Answers
Answer: 1766.3
Step-by-step explanation:
Explain if she correct or not. If she is correct, justify her claim. If she is not correct, explain her error and state the correct GCF.
PLEASE HELP ME OUT!!!!
Answers
Answer:
Marcia is not correct.
See explanation below.
Step-by-step explanation:
The terms are
2x²
4xy
8xy^4
The terms broken down into products of prime factors are:
2x² = 2 × x × x
4xy = 2 × 2 × x × y
8xy^4 = 2 × 2 × 2 × x × y × y × y × y
To find the GCF, we circle the common factors of the three terms (here we use bold type instead of circling.)
2x² = 2 × x × x
4xy = 2 × 2 × x × y
8xy^4 = 2 × 2 × 2 × x × y × y × y × y
The GCF is the products of the circled (bold) factors.
GCF = 2x
Marcia's answer is the Least Common Multiple.
For the LCM, you use all factors that are common and not common with the larger exponent.
LCM = 2 × 2 × 2 × x × x × y × y × y × y = 8x²y^4
Marcia's mistake is that she calculated the LCM instead of the GCF.
Answer:
Marcia is not correct.
The explanation is above.
Answer:
See below.
Step-by-step explanation:
2x^2, 4xy, and 8xy^4
She is incorrect.
The GCF is 2x.
She found the greatest term, rather than the greatest factor.
-hope it helps
A Cubic Polynomial with rational coefficients has the roots 6 + SQRT6 and 2/3 FInd one additional root.
SHOW STEPS PLEASE O_O
Answers
This is because of the rule that if we have rational coefficients, then one root of [tex]a+\sqrt{b}[/tex] must have a conjugate pair of [tex]a-\sqrt{b}[/tex]. Multiplying the conjugates will have the square roots cancel out.
For more information, check out the difference of squares rule.
how does identifying the mean on an ordered-value bar graph help you find the mean on a dot plot?
Answers
Answer:
To find the mean, add up all the values and then divide by the number of values. The median is the value that is exactly..
Hank's Fudge Factory packages and sells homemade white chocolate and milk chocolate fudge. Both types of fudge come in blocks that are 6 centimeters wide and 6 centimeters tall. The volume of the block of white chocolate fudge is 360 cubic centimeters. The volume of the block of milk chocolate fudge is 504 cubic centimeters. How much longer is the block of milk chocolate fudge than the block of white chocolate fudge?Write your answer as a whole number or decimal. Do not round
Answers
Answer:
4
Step-by-step explanation:
The volume of a rectangular prism V is the product of its length ℓ, width w, and height h.
V=ℓwh
ou want to find how much longer the block of milk chocolate fudge is than the block of white chocolate fudge.
First, find how long the block of milk chocolate fudge is. The block of milk chocolate fudge is shaped like a rectangular prism. Its width is 6 centimeters, its height is 6 centimeters, and its volume is 504 cubic centimeters.
To find how long the block of milk chocolate fudge is, ℓ, you can use the formula for the volume of a rectangular prism.
V
= ℓwh
504
= ℓ66
504
= ℓ36 Multiply 6 by 6
506
36
=
ℓ36
36
Divide both sides by 36
14
= ℓ Simplify
The block of milk chocolate fudge is 14 centimeters long.
Now, find how long the block of white chocolate fudge is. The block of white chocolate fudge is shaped like a rectangular prism. Its width is 6 centimeters, its height is 6 centimeters, and its volume is 360 cubic centimeters.
To find how long the block of white chocolate fudge is, ℓ, you can use the formula for the volume of a rectangular prism.
V
= ℓwh
360
= ℓ66
360
= ℓ36 Multiply 6 by 6
360
36
=
ℓ36
36
Divide both sides by 36
10
= ℓ Simplify
The block of white chocolate fudge is 10 centimeters long.
Subtract to find how much longer the block of milk chocolate is than the block of white chocolate fudge.
14–10=4
The block of milk chocolate fudge is 4 centimeters longer than the block of white chocolate fudge.
What expression represents the profit? 27x – 650 27x 390 33x – 650 33x 390.
Answers
The expression that represents profit in the given example is
33x+390.
It is given that
Revenue function = [tex]2x^3 +30x-130[/tex]
Cost function = [tex]2x^3-3x-520[/tex]
What is the relationship between revenue, cost, and profit functions?Profit function = revenue function- cost function
Profit function= [tex]{2x^3 +30x-130}-{2x^3+3x+520[/tex]
profit function= 33x+390
Therefore, the expression that represents profit in the given example is
27x-650
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Answer:
33x+390.
Step-by-step explanation:
I took the test
Inez and her friends are buying ride tickets at an amusement park. Order these options from best buy to worst.
Option A: 18 tickets for $13.50
Option B: 36 tickets for $30.00
Option C: 60 tickets for $39.00
Answers
Solve
v < 45. Graph the solution.
The solution is
someone helppp
Answers
Answer:
The solution is v ≤ 81.
Graph it on a number line by writing a closed circle above the number 81 with a line moving to the left (sorry I'm bad at explaining, just comment if you don't get it)
Step-by-step explanation:
5/9v ≤ 45
Divide 5/9 on both sides
v ≤ 81
Please help me !! ASAP
Answers
Answer:
you respiratory system puts oxygen in the blood s and the cardiovascular system pumps it through the body
A project manager must select four analysts from her group to write four
different software functions. There are 5 junior and 8 senior analysts in her group.
The first and fourth functions can be written by any of the analysts. The second
function must be written by a senior person and the third function must be written
by a junior person. How many ways are there for her to assign the analysts to the
functions if no person can be assigned to more than one function?
Answers
Using the Fundamental Counting Theorem, it is found that there are 4,440 ways to assign the analysts.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
With the first function being written by a senior, we have that: [tex]n_1 = 8, n_2 = 7, n_3 = 5, n_4 = 10[/tex].With the first function being written by a junior, we have that: [tex]n_1 = 5, n_2 = 8, n_3 = 4, n_4 = 10[/tex].Hence:
N = (8 x 7 x 5 x 10) + (5 x 8 x 4 x 10) = 4400.
There are 4,440 ways to assign the analysts.
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A diner has collected data about customer coffee-drinking habits. They have calculated that P(cream) = 0. 5, P(sugar) = 0. 6, and P(cream or sugar) = 0. 7. Determine the P(cream and sugar). 0. 4 0. 5 0. 6 0. 7.
Answers
Probability of an event is the measure of its chance of occurrence. The value of the probability P(cream and sugar) is given by: Option A: 0.4
What is the addition rule of probability for two events?For two events A and B, we have:
Probability that event A or B occurs = Probability that event A occurs + Probability that event B occurs - Probability that both the event A and B occur simultaneously.
This can be written symbolically as:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
For the considered case, the probabilities are:
P(cream) = 0. 5P(sugar) = 0. 6P(cream or sugar) = 0. 7Thus, we get;
P(cream or sugar) = P(cream) + P(sugar) - P(cream and sugar)
0.7 = 0.5 + 0.6 - P(cream and sugar)
P(cream and sugar) = 1.1 -0.7 = 0.4
Thus, the value of the probability P(cream and sugar) is given by: Option A: 0.4
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A prism is completely filled with 80 cubes that have edge length of 12cm What is the volume of the prism? Enter your answer in the box. cm³
Answers
The volume of this prism is equal to 138,240 [tex]cm^3[/tex].
Given the following data:
Edge length of cube = 12 cm.Number of cubes = 80 cubes.To determine the volume of this prism:
How to calculate the volume of a prism.First of all, we would determine the volume of the cube by using this formula:
[tex]Volume = s^3\\\\Volume = 12^3\\\\Volume = 1728\;cm^3[/tex]
For the prism:
Volume = [tex]80 \times 1728[/tex]
Volume = 138,240 [tex]cm^3[/tex].
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SOLVE BOTH
if f(x)=2x+8, find f(5)
if f(x)=3x+4, find f(8)
Answers
Answer:
Step-by-step explanation:
simple! plug in the 5 for x, f(5)=2(5)+8
f(5)=10+8
f(5)=18
f(8)=3(8)+4
f(8)=28
The following is proportional b. Fill in the missing table, equation and verbal
3.
Graph
11
10
number of Insta posts
time (days)
days.
Mrs Manuel makles
Equation : k=
Time (days)
Insta post every
Equation
Insta post (#)
5
2
6
9
For questions 4-7, use the equation y =54X
4. Find y when x = 8
5. Find x when y = -20
6. Fill in the table.
Answers
Answer:
yx=8 and xy=20 so that is the correct answer
Pl help
THIS IS DUE VERY SOON
CROWN FOR CORRECT ANSWER
Answers
Answer:
5.634
Step-by-step explanation:
Side BC = 12
Side AC = 10.59537
Side AB = 5.63366
90° = 1.5708 rad = π/2
62° = 1.0821 rad
28° = 0.48869 rad
Please let me know if this helped <3
Solve the inequality if possible 6 (x + 3 )<5x+18+x
Answers
Answer:
x < 3
Step-by-step explanation:
6(x + 3) < 5x + 18 + x
6x + 18 < 6x + 186x + 6x < 18 + 1812x < 36x < 36 ÷ 12x < 3What is the slope of the line that goes through (-5,-5) and (5,-7)
Answers
Answer: The slope would be -1/5
Heres a graph
Hope this helps!
hello humans ~
explain how can we find real roots of a quadratic equation
Answers
Answer:
1. Completing the square
2. Factorisation
3. Formula method
4. Graphical method
Answer:
- For a quadratic equation ax2 + bx + c = 0, The roots are calculated using the formula, x = (-b ± √ (b² - 4ac) )/2a.
- Discriminant is, D = b2 - 4ac. If D > 0, then the equation has two real and distinct roots.
Unit 11: volume and surface Area homework 3: area of composite figures
Answers
Answer:
it may multiple by 10 times
Alma makes 5 cups of her favorite shade of purple paint by mixing 3 cups of blue paint, 11/2 cups of red paint, and 1/2 a cup of white paint. Alma has 2 cups of white paint.
Assuming she has enough red paint and blue paint, how much purple paint can Alma make?
Answers
Answer:
8 1/2 cups
Step-by-step explanation:
Add the blue and red cups of paint together to get 8 1/2 cups of paint.
Since we can assume she has enough, the answer is eight and a half cups of purple paint.
Alma can make 20 cups of purple paint.
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: For every 5 cups of purple paint alma needs to add 1/2 cup of white paint .
Thus with 2 cups white paint she could make 4 batches of 5 cups of purple paint.
Therefore, total number of purple paint cups from 2 cups of white paint is
4×5=20 cupa
Hence, Alma can make 20 cups of purple paint.
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Emma sold all the parasols in the store for $84. She brought new
parasols from the stockroom and decided to increase the price of a
parasol to $13.
Which of the following equations represents the total amount, t, Emma
will have earned after selling the additional, p, parasols?
A. t = 84 + 13p
B. t = 84 + (p + 13)
C. t = 84 × 13p
D. t = 84 + [tex]\frac{p}{13}[/tex]
Answers
Answer: B. Emma sold all the parasols in the store for $84. She brought new parasols from the stockroom and decided to increase the price of a parasol to $13.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
First, she earned $84
She bought new parasols and increase the price of each parasol by $13-> she will earn $13p by selling p additional parasols
->total amount = 84+13p
choices are
A. 3/22
B. 6/23
C. 4/7
D. 3/7
please help
Answers
Answer: D
Step-by-step explanation:
There are 14 students who chose vanilla, and 6 of those are male. 6/14 = 3/7.
lodine-131 has a half-life of 8 days. How much of the original 40-gram sample would be left
after 40 days?
Answers
Answer:
1.25 grams would be left
Step-by-step explanation:
40/2=20
20/2=10
10/2=5
5/2=2.5
2.5/2=1.25
QUICK whoever gives correct answer will get brainliest please and thank you.
Answers
Answer:
D. (The one with a graph and line)
You can use the vertical line test.
Use the information in the table to answer the question. A 3-column table has 1 row. The first column is labeled Species with entry Goldfish. The second column is labeled Mean with entry 7 inches. The third column is labeled Standard Deviation with entry 1. 2 inches. What percentage of goldfish will have lengths between 4. 6 inches and 9. 4 inches? 34% 68% 95% 99. 7%.
Answers
By Using the Empirical formula we found that 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.
What percentage of goldfish will have lengths between 4. 6 inches and 9. 4 inches?According to the empirical rule :
(1) 68% of the measures should come within 1 standard deviation of the mean.
(2 95% of the measures should come within 2 standard deviations of the mean.
(3) 99.7% of the measures should come within 3 standard deviations of the mean.
So we can see in this problem
The mean is 7 inches.
The standard deviation is 1.2 inches.
4.6 = 7 - 2(1.2)
9.4 = 7 + 2(1.2)
The measures are within 2 standard deviations of the mean, hence, 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.
Thus by using the Empirical Rule we found that 95% of goldfish will have lengths between 4. 6 inches and 9. 4 inches.
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HELPPP FOR BRAINLEST!!!
Answers
Answer:
3/17
Step-by-step explanation:
Add together all the readers, and then as the numerator of the fraction put the number of Paperback Books and the 1 hour per week. The fraction is three seventeenths.
Answer:
3/17
Step-by-step explanation:
the number of club members who read about 1 hour per week AND prefer paperback books is 3
Put that over the total amount of club members in the sample which is 17
so 3/17 and that doesn't simplify :)
what’s the answer??
Answers
Cross multiply
16x = 55
Divide through by 16
x = 3.427
x ≈ 3.43
Answer:
your answer is 3.44
Step-by-step explanation:
First...
divide 16 by 5 which equals 3.2
Second...
then you want to divided 11 by 3.2 which will give you 3.4375
Last...
Round 3.4375 to the nerest tenth which will give you 3.44
Hurry please!
A) - 1
B) 1
C) 0
D) undefined