Question:
1. Find the constant of proportionality for Company A and Company B. (to the nearest tenth)
2. Write an equation that represents the relationship between the number of hours h and the total cost for Company A and Company B.
3. Compare the unit rates of Company A and Company B.
Answers
Answer:
Proportional relationship formula:
y = kx, where k is the constant of proportionalityUse one of the ordered pairs to calculate the value of k
Company APoint (2, 20)
20 = k*2h = 20/2k = 10The equation: y = 10h
Company BPoint (3, 20)
20 = k*3k = 20/3The equation: y = 20/3hCompany A has greater unit rate as 10 > 20/3
Related Questions
Select all the statements that are true about rectangles.
A Diagonals are congruent.
B Diagonals bisect angles.
C Opposite angles are congruent.
D Diagonals are perpendicular.
E Diagonals bisect each other.
Answers
Answer:
its A, B, E AND MABEY C
Step-by-step explanation:
The statements that are true about rectangles are mentioned in options [tex](A),(B),(C),(E)[/tex] .
What are rectangles ?Rectangles a shape with four sides and having internal angles of [tex]90^0[/tex]. Two of the sides are longer than the other two. The opposite sides of the rectangle are equal in length.
Properties of Rectangle :[tex](a)[/tex] The opposite sides are equal and parallel to each other.
[tex](b)[/tex] The diagonals bisect each other but not at [tex]90^0[/tex].
[tex](c)[/tex] Diagonals are equal in length.
[tex](d)[/tex] The diagonals of rectangle are congruent.
[tex](e)[/tex] The sum of interior angles is equal to [tex]360^0[/tex] .
[tex](f)[/tex] Each interior angle is equal to [tex]90^0[/tex].
[tex](g)[/tex] The angles of a rectangle are all congruent.
[tex](h)[/tex] Opposite angles of a rectangle are congruent.
So, from the above mentioned properties we can assume that statements mentioned in options [tex](A),(B),(C),(E)[/tex] are true about rectangles.
Hence, we can say that the statements that are true about rectangles are mentioned in options [tex](A),(B),(C),(E)[/tex] .
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Which numbers from the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10), if any, will solve this equation?
2x + 3 = 5x - 3
Answers
Answer:
2
Step-by-step explanation:
2(2)+3=7
5(2)-3=7
Answer:
2
Step-by-step explanation:
2 multiplied by 2 is 4+3=7 and 5x2=10-3=7
Help me I’ll give 15 points
Answers
I’m not sure
Answer:
y= -x+3
Step-by-step explanation:
The slope is -1
The y-intercept is 3 if you count up with rise over run
Put it all together and you get y= -x+3
how many cubic feet will it take to fill the prism below
Answers
the answer is a did you multiply then divide
Answer:
480
Step-by-step explanation:
Can someone help me please
Answers
Answer:
The mode of sunday is 15 is correct
Which of the following is a true statement?
Answers
Answer:
The first one is TRUE.
You would convert the 1/2 into 4/8 to compare them and you will see that 3/8 is less than 4/8 or 1/2
1/2 is bigger becuase let’s say u have a pizza and u don’t want small pieces of pizza we want a lot so we would go for 1/2
#1 Describe the translation (slides) that
maps ABCD onto A'B'C'D'?
Answers
Answer: B
Step-by-step explanation: left 6, down 5
How do I solve this question points to ever solves it.
Answers
2: the y intercept represents the temperature it started at
Find the slope of the line through the points (12, -9) & (-11, -9)
Answers
Answer:
0
Step-by-step explanation:
Answer:
no. why?
Step-by-step explanation:
What is the surface area of the cylinder?
226.08 cm²
678.24 cm²
1,356.48 cm²
452.16 cm²
Answers
Answer:
452.16
Step-by-step explanation:
i got it right on test
The surface area of the cylinder is,
⇒ TSA = 452.16 cm²
We have to given that;
Height of cylinder = 6 cm
And, Diameter of cylinder = 12 cm
Hence, We get;
⇒ Radius of cylinder = 12 / 2 = 6 cm
We know that;
The formula for the total surface area of a given cylinder whose radius is r and height is h is,
TSA = 2πr (h + r)
Hence, We get;
TSA = 2πr (h + r)
TSA = 2 × 3.14 × 6 (6 + 6)
TSA = 37.68 × 12
TSA = 452.16 cm²
Thus, The surface area of the cylinder is,
⇒ TSA = 452.16 cm²
Learn more about the multiplication visit:
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When you see multiplying rational number you first
Answers
Answer:
use pemdas
Step-by-step explanation:
Solve (x + 3 < 5) U (x - 7 > 1).
{ x | 2 < x < 8}
O/
{ x | x < 2 or x > 8}
Answers
Answer:
{ x | x < 2 or x > 8}
Step-by-step explanation:
Given the expression
(x + 3 < 5) U (x - 7 > 1).
Solve x+3 < 5
Subtract 3 from both sides
x+3 - 3 < 5-3
x < 2
For x - 7 > 1
Add 7 to both sides
x-7+7 > 1 + 7
x > 8
Hence the union of both is { x | x < 2 or x > 8}
James has a goal of saving $600 by the end of the month. He already has $150 in his bank account. He makes $25 an hour at his job. Which equation could he use to find x, the number of hours he needs to work to reach his goal.
Answers
Answer:
150+25x = 600
Step-by-step explanation:
Hope this helped!
Ayúdenme por favor es muy importante
Answers
Answer:
boop
Step-by-step explanation:
Answer:
15-378099
Step-by-step explanation:
wjjcbm car red saw sell cell problem see one the window
Find the median and mean of the data set below:
4, 45, 34, 23, 33
Answers
Answer:
27.8 is the mean... 33 is the median
Step-by-step explanation:
help I will give brainiest
Answers
8^2 + 15^2 = 289.
square root of 289 = 17
CORRECT
Answer:
itis because the triangle has a 90° angle thus making it a right triangle
part A- calculate the measure if
Part b- calculate the measure of
PLEASE HELP ME ITS DUE In 10 mins please
Answers
Answer:
Step-by-step explanation:
Part A
Since, BDFHJ is a regular pentagon,
Measure of interior angles of this pentagon = [tex]\frac{(n-2)\times 180}{n}[/tex]
= [tex]\frac{(5-2)\times 180}{5}[/tex]
= 108°
Since, ∠ABC ≅ ∠JBD [Vertical angles]
Therefore, m∠ABC = m∠JBD = 108°
Part B
m∠JBD + mCBD = 180° [Linear pair of angles]
108° + m∠CBD = 180°
m∠CBD = 180 - 108
m∠CBD = 72°
Similarly, m∠BDF + m∠CDB = 180°
m∠CDB + 108° = 180°
m∠CDB = 180 - 108
= 72°
In ΔCBD,
m∠BCD + m∠CDB + m∠DBC = 180°
m∠BCD + 72° + 72° = 180°
m∠BCD = 180° - 144°
= 36°
What is the value of m squared minus 2 m n + n squared for m = negative 2 and n = 4?
Answers
Answer:
What is the value of m squared minus 2 m n + n squared for m = negative 2 and n = 4? -36. -4.
Step-by-step explanation:
hope this helps
Find the error & explain why it is wrong:
Laural had to find the average rate of change of f(x) over the interval from x = 6 to x = 10 using the table below.
What did she do wrong?
Answers
Step b is wrong. The slope is the change in y over the change in x.
Step b should be (18- 8)/( 10-6)
= 10/4
= 5/2
I need help on this and the first person who answer this correctly gets BRANLIST
Answers
Answer:
-5/4
Step-by-step explanation:
Use the formula lol
ANSWER CHOICES LISTED
what transformation to the linear parent function f(x)=x gives the function g(x)= -4x? select ALL that apply
a. Horizontally stretch by a factor of 4
b. Shift 4 units down
c. Vertically stretch by a factor of 4
d. Reflect over the x-axis
Answers
Answer:
c, d.
Step-by-step explanation:
c; A vertical stretch by 4 will put the coefficient (in this case 4) in front of your original equation.
d; the negative in front of the whole equation (-4x) will flip the graph across the x-axis.
A chef takes c cartons of eggs from the refrigerator. Each carton contains 12 eggs. The chef wants to have a total of at least 50 eggs.
Answers
Answer: 5 cartons
Step-by-step explanation:
If the Chef wants to have a total of at least 50 eggs and each carton contains 12 eggs, divide 50 by 12 to find out the number of cartons needed and then round the number up:
= 50 /12
= 4.16
Round it up to the nearest 1:
= 5 cartons
This will ensure that there is at least 50 eggs because 5 * 12 = 60 eggs.
An employee does not pay tax on the first $4000 of earnings and then 25% tax on the rest of earnings. If he wants to have $20000 net of tax earnings does he need
Answers
Answer:
$68000
Step-by-step explanation:
Tax free earning = first 4000
Tax on remaining amount = 25%
Total earning in other to have $20000 net of tax earning :
Net of tax = tax free earning + (25% * remaining amount)
Let remaining amount = x
20000 = 4000 + (0.25 * x)
20000 = 4000 + 0.25x
20000 - 4000 = 0.25x
16000 = 0.25x
x = 16000 / 0.25
x = 64000
Hence,
Total earning should be :
Tax free earning + roaming amount
4000 + 64000
= $68000
The distance y in miles traveled by a car is 20 times the number of gallons x of gasoline used by the car. Write and graph a function that describes the relationship between x and y
Answers
Answer:
y=20x
Step-by-step explanation:
Which equation below will give a graph of a line parallel to the graph of -2x - 4y = 3?
Answers
Answer:
Any choice that has a slope of -1/2
Step-by-step explanation:
-2x - 4y = 3
-4y = 2x + 3
4y = -2x - 3
y = -1/2x -3/4
y = mx + b
m = slope
A 3 pound package of ground beef sells for $6. At this rate, if John buys 10 pounds of
ground beef, how much would he pay?
Answers
Answer:
$20
Step-by-step explanation:
3 pounds of beef is 6 dollars.
6 divided by 3 is 2. Therefore, each pound cost $2.
He wants to buy 10 pounds of beef.
9 pounds would be $18.
Add 1 pound, which is $2 and you will get $20.
Therefore, he would pay $20!~
Hope this helps!~~ <3
Please help
Round your answer to the nearest hundredth
Answers
Answer:
∠ B ≈ 66.42°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosB = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{2}{5}[/tex] , then
∠ B = [tex]cos^{-1}[/tex] ( [tex]\frac{2}{5}[/tex] ) ≈ 66.42° ( to the nearest hundredth )
Help please
Brainiest answer to whoever is first
Answers
Answer:
84 inches squared
Step-by-step explanation:
perimeter = 6+7+5+10+15
= 43
An alloy consists of 13 parts of copper to 7 parts of zinc and 5 parts of Nickel what is the percentage composition of the alloy
Answers
Answer:
52% Copper, 28% Zinc, 20% Nickel
Step-by-step explanation:
Copper is 13 out of 13+7+5 = 25
13/25 = 52%
Zinc is 7 out of 25 so 28%
Nickel is 5/25 = 20%
A coin is tossed 7 times. What is the probability of getting all tails? Express your answer as a simplified fraction or a decimal rounded to four decimal places.
Answers
Answer:
0.0078125
Step-by-step explanation:
Probability of tail, p = 0. 5
Probability of getting all tails from 7 tosses :
P(tail) * P(tail) * P(tail) * P(tail) * P(tail) * P(tail) * P(tail)
0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5 = 0.0078125
We could also use the binomial probability formula :
P(x =x) = nCx * p^x * (1 - p)^(n - r)
n = 7 ; x = 7, p = 0.5,
P(x = 7) = 7C7 * 0.5^7 * 0.5^0 = 0.0078125