The relationship between the number of hours a plumber works and the total work fee she charges is proportional. Her fee for 5 hours of work is $350. Which of the following could be combinations of values for the plumber's work hours and total work fee she charges?
Answers
Answer: I saw someone else answer this and it doesn't match up with the choices so I decided to do this my self and for anyone else who might need this in the future. For those on Khan academy the answers are B, C, AND D.
Step-by-step explanation: I found the unit rate of 350 and 5, because we can use a calculator (as stated on top) I just punched in 350 divided by 5 and got 70. Now i know this may not sound that "professional", but nothing needs to always be professional as long as its efficient and most importantly gets you the right answer. I then took the time to multiply each number, (the ones on the left : 3, 3.5, 6, 7.25, and 8) by 70. If the answer you got on the calculator match up to the number on the right, (240, 420, 507.50, and 490) its correct, if it doesn't match up, you can tell that its most likely not the answer. You should end up with three answers that all end up having the unit rate of 70. Hope this helps anyone who needed it.
ANSWERS ARE B, C, AND D.
Following could be combinations of values for the plumber's work hours and total work fee she charges : 8 hours and $490, 7.25 hours and $500, 270 for 3 hours work. So, the correct choice of options for the image are B, C, and D.
Since the relationship between the number of hours a plumber works and the total work fee he charges is proportional, we can use the following equation to calculate the total work fee:
Total work fee = Number of hours worked * Hourly rate
Therefore, the following combinations of values for the plumber's work hours and total work fee are proportional:
8 hours and $490 (the hourly rate is $490/8 hours = $61.25)
7.25 hours and $500 (the hourly rate is $500/7.25 hours = $68.75)
6 hours and $420 (the hourly rate is $420/6 hours = $70)
The other two options, A and E, are not proportional.
For example, if the plumber works for 3 hours and charges $245, the hourly rate would be $245/3 hours = $81.67.
However, if the plumber works for 3.5 hours and charges $270, the hourly rate would be $270/3.5 hours = $77.14.
This shows that the hourly rate is not constant, so the relationship between the number of hours worked and the total work fee is not proportional.
The correct choice of options for the image are B, C, and D.
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Related Questions
SUSAN NEEDS EXACTLY 4 PLATES ON EACH TABLE FOR THE BANQUET,AND 5 PLATES AT THE MAIN TABLE.IF SHE HAS 417 PLATES,HOW MANY TABLES IS SHE ABLE TO PREPARE?INCLUDE THE MAIN TABLE IN COUNT
Answers
4+5=9 plates
the sets of 9 plates in the total of 417 plates are:
417/9=139/3
thus the total number of tables will be:
139/3*2
=92.6667~93 tables
Fabian harvests 10 pounds of tomatoes from his garden he needs 2 2/5 pound to make a batch of soup. If he sets aside 2.8 pounds of tomatoes to make spaghetti sauce, how many batches of soup can He make
Answers
Starting with 10 pounds of tomatoes and taking out the number of pounds he sets aside for spaghetti sauce, 2.8, we have:
10-2.8 = 7.2 pounds left.
0.2 is read as "two tenths," so 7.2 = 7 2/10
We divide this remaining number of pounds by 2 2/5 for each batch of soup:
7 2/10 ÷ 2 2/5
Convert each to an improper fraction:
72/10 ÷ 12/5
Multiply by the reciprocal:
72/10 × 5/12 = 360/120 = 3
With 7.2 pounds of tomatoes, Fabian can make 3 batches of soup since each batch requires 2.4 pounds of tomatoes.
Explanation:First, let's understand the total quantity of tomatoes Fabian has to make soup. He harvested a total of 10 pounds and set aside 2.8 pounds for spaghetti sauce. So, he has 7.2 pounds of tomatoes left to make soup. Every batch of soup needs 2 2/5 pounds of tomatoes which is equivalent to 2.4 pounds. To find out how many batches of soup he can make, divide the total weight of tomatoes he has for the soup by the weight each batch needs. Therefore, 7.2 divided by 2.4 gives 3 batches of soup.
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Evaluate 10x^2y^-1 for x=3 and y=2
Answers
10*9*2^-1
10*9*1/2
9/2
45
Answer:
[tex]10x^{2} y^{-1}[/tex] for x=3 and y=2 is 45.
Step-by-step explanation:
In order to evalue the given expression [tex]10x^{2}y^{-1}[/tex] you have to rewrite it as a fraction, using the property for a negative exponent which says that [tex]y^{-1}[/tex] can be written as [tex]\frac{1}{y}[/tex]
You obtain: [tex]\frac{10x^{2} }{y}[/tex]
Now, you have to replace the given values of x and y in the previous expression:
x=3 and y=2
[tex]\frac{10(3)^{2} }{2}[/tex]
Solving the square:
[tex]\frac{(10)(9)}{2}[/tex]
Solving the multiplication and division:
[tex]\frac{90}{2} = 45[/tex]
The answer is 45
What are the direction indices for a vector that passes from point 34 1 12 to point 14 12 1 in a cubic unit cell? please indicate negative directions by a "-" sign before the integer and omit spaces between numbers?
Answers
P = (34, 1, 12)
Q = (14, 12, 1)
From P to Q, we have:
PQ = Q-P
PQ = (14, 12, 1) - (34, 1, 12)
PQ = (14-34, 12-1, 1-12)
PQ = (-20, 11, -11)
Rewriting:
PQ = -20i + 11j -11k
Answer:
The direction indices for the vector are:
PQ = -20i + 11j -11k
The direction indices for a vector passing from point (34, 1, 12) to point (14, 12, 1) are calculated by subtracting the coordinates of the starting point from the ending point, resulting in the indices [-20 11 -11].
Explanation:The student asked for the direction indices of a vector passing from point (34, 1, 12) to point (14, 12, 1) in a cubic unit cell. To determine the direction indices, we need to subtract the coordinates of the initial point from the coordinates of the final point. The resulting vector ∆r will have components ∆x, ∆y, and ∆z as follows:
∆x = 14 - 34 = -20∆y = 12 - 1 = 11∆z = 1 - 12 = -11Therefore, the direction indices for the vector are written without spaces and with negative signs for negative directions. In this case, the direction indices would be [-20 11 -11].
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Find the real square roots of .0064 and -.0081
Answers
[tex] \sqrt{0.0064} = 0.08 & -0.08 [/tex]
For -0.0081 there are no real roots because the square of ANY number is not negative.
PLEASE HELP!!
A music store orders wooden drumsticks that weigh 96 grams per pair. The total weight of the box of drumsticks is 782 grams. How many pairs of drumsticks are in the box if the empty box weighs 206 grams?
_______ pairs?
Answers
All you have to do is 782-206 then divided by 96.
Answer: 6 Drumsticks
Step-by-step explanation:
In a recent semester at a local university, 490 students enrolled in both General Chemistry and Calculus I. Of these students, 61 received an A in general chemistry, 63 received an A in calculus, and 25 received an A in both general chemi: and calculus Find the probability that a randomly chosen student received an A in general chemi stry or calculus or both
Answers
The manager of a store selling tea plans to mix a more expensive tea that cost $7 per pound with a less expensive tea that cost $4 per pound to create a hundred forty pound blend that will sell for $6.10 per pound. How many pounds of each type of tea are required?
Answers
x = expensive tea
y = less expensive tea
We write the system of equations:
7x + 4y = 6.10 * (140) = 854
x + y = 140
The system of equations is:
7x + 4y = 854
x + y = 140
Resolving we have:
x = 98
y = 42
Note: see attached image for the solution.
Answer:
They are required:
expensive tea = 98 pounds
less expensive tea = 42 pounds
Find the values of x,y, and z. The diagram is not to scale.
A. x = 86, y = 94, z = 75
B. x = 86, y = 75, z = 94
C. x = 75, y = 94, z = 86
D. x = 75, y = 86, z = 94
Answers
180 = 59 + 35 + x
180 = 94 + x
86 = x
Supplementary angles x and z add to 180
180 = x + z
180 = 86 + z
94 = z
Now the last triangle is with angles 11, z, and y
they must add to 180 so...
180 = 11 + z + y
180 = 11 + 94 + y
180 = 105 + y
75 = y
The answer is B.)
Hope this helps!
Answer:
b) x=86,y=75,z=94
Step-by-step explanation:
Consider the diagram shown where a ladder is leaning against the side of a building. The base of the ladder is 12 ft from the building. How far is the top of the ladder from the ground?(to the nearest ft)
Answers
tan A = CBAC
tan 70° = CB12
2.7475(12) = 32.97 ftThe correct answer is 33 ft.
PLEASE HELP WILL GIVE BRAINLIEST!!!! The graph shows the function f(x)=2^x
Answers
We see that when y is 4, x is 3. Therefore, A is the answer.
What must be true of the discriminant the soulution to a quadratic equation is a set of 2 different real numbers?
Answers
2 The quadratic has 2 different solutions.
3 The x value of the minimum or maximum is 1/2 way between these 2 solutions.
4 The y value of the minimum or maximum is found by substituting the x value into the original quadratic. (You can't really tell this from the discriminate, but it is an inferred property).
Compare 0.3 and 0.8 using >,=,or <. Draw a model or number line to support your solutions
Answers
Find the volume of the figure. A) 33 in3 B) 150 in3 C) 233 in3 D) 425 in3
Answers
The Volume of Figure is 233 inch³.
What is Volume?Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill. Volume is a three-dimensional quantity used to calculate the capacity of a container.
Given:
Top Cuboid:
length = 12 inch
width = 3 inch
Height = 3 inch
Bottom Cube:
Edge = 5 inch
So, the Volume of Figure
= Volume of Top Cuboid + Volume of Cube
= 12 x 3 x 3 + 5 x 5 x 5
= 72 + 125
= 233 inch³
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One side of a rectangle is five times as long as the other side. If the perimeter is 72 meters, what is the length of the shorter side?
Answers
x----------> length of the long side of rectangle
y---------> length of the short side of rectangle
P----------> perimeter of rectangle
we know that
x=5y-------------> equation 1
P=2x+2y---------> 72=2x+2y---------> equation 2
then
I substitute 1 in 2
72=2*(5y)+2y----------> 72=10y+2y----------> y=72/12---------> y=6
the answer is
the length of the short side of rectangle is 6 m
if gold is currently trading at 800.00 /oz and you inherit a gold coin worth 3200.00 how much does the coin weigh
Answers
EXPLANATION
Let weight = w
Let price = p
We are told that gold is currently trading at 800.00 /oz
⇒ 1 oz of gold is worth 800.00
w₁ = 1 oz
p₁ = 800.00
The gold coin inherited is worth 3200.00
The weight of gold coin inherited = ?
w₂ = ?
p₂ = 3200.00
[tex] \frac{p1}{w1} [/tex] = [tex] \frac{p2}{w2} [/tex]
⇒ [tex] \frac{800.00}{1} [/tex] = [tex] \frac{3200.00}{w2} [/tex]
⇒ w₂ = [tex] \frac{3200.00}{800.00} [/tex]
⇒ w₂ = 4 oz
The coin weighs 4 oz
130.8996939 rounded to the nearest hundredth
Answers
hope i helped :)
What is 21/16 simplified
Answers
1) 21 ÷ 6 = 1 and remainder = 5 =>
2) 1 [tex]1 \frac{5}{16} [/tex] (as a mixed fraction)
3) 1.3125
The center of a circle is at the origin. An endpoint of a diameter of the circle is at (-3, -4). How long is the diameter of the circle? 5, 10, or 25?
Answers
9+16= 25= 5^2
Radius =5
Answer:
Diameter is 10
Tim Worker estimates his taxable income will be $7,000. He is paid twice a month or 24 times a year. Because Tim has only one source of income, he uses the Tax Tables to estimate how much will be deducted from his pay for withholding.
Answers
Answer: finds the tax rate for his income level: 10%
Enters the base amount 29.16
Enters the amount of tax owed: 700
Divides by: 10 =:700
Step-by-step explanation:
I took the test hope this helps
What is the decimal value of the 2 in the hexadecimal number f42ac16?
Answers
we know that
to convert hex to decimal
Multiply every digit with 16 power of digit location
the digit location of number 2 is--------> 5
then
2*16^5=2097152
the answer is 2097152
The decimal value of the 2 in the hexadecimal number f42ac16 is 2.
Explanation:The hexadecimal number f42ac16 can be split into individual digits, where each digit represents a power of 16. Starting from the rightmost digit, the 2 represents the digit in the 16^0 (1) place, which is simply 2. Therefore, the decimal value of the 2 in the hexadecimal number f42ac16 is 2.
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Lin has 13 coins in her pocket that equal 40 cents. All the coins are dimes, d, and pennies, p. Which combination of coins does Lin have? Use the table to answer the question.
Answers
I used a guess and check strategy starting with 2 dimes.
The combination of coins are:
3 dimes and 10 pennies.
Step-by-step explanation:Let there are d number of dines and p number of pennies.
Now as there are a total of 13 coins this means that:
d+p=13------(1)
and also the total value of the coins is 40 cents.
1 dime=10 cents
Hence, d dime= 10 d cents
Also, 1 penny= 1 cent
Hence p penny= p cents
Hence, we get:
10d+p=40------(2)
On subtracting equation (1) from (2) we get:
9 d=27
on dividing both side by 9 we get:
d=3
On putting the value of d in equation (1) we get:
3+p=13
i.e. p=13-3
i.e. p=10
The combination is:
3 dimes and 10 pennies
what is the volume of the 3d shape created by rotating the square with side lengths of 14cm
Answers
Which expression is equivalent to (xy)z?
Answers
Answer:
C is the correct answer.
Step-by-step explanation:
Took the test.
x(yz)
Jamel swam 92 meters in 4 minutes. Andre swam 105 meters in 5 minutes. Who is ther faster swimmer? Provide very clear evidence to support your answer.
Answers
105 divided by 5 = 21 mpm
so in this case Jamel is the faster swimmer
caleb and his classmates are making felt dog toys for a local animal shelter. how much red and yellow felt does his teacher need to buy so 20 students can each make a toy?
felt needed for each toy
1/8 sheet of white
3/8 sheet of red
5/8 sheet of yellow
1 1/8 sheets of black
Answers
Answer:
C ) 8 sheets of red and 13 sheets of yellow felt
Step-by-step explanation:
Final answer:
Caleb's teacher needs to purchase 7.5 sheets of red felt and 12.5 sheets of yellow felt so that each of the 20 students can make a dog toy.
Explanation:
To calculate the amount of red and yellow felt Caleb's teacher needs to buy for 20 students to each make a dog toy, we can multiply the amount of felt needed for one toy by the total number of students.
Red felt needed: 3/8 sheet per toy
Yellow felt needed: 5/8 sheet per toy
For red felt:
3/8 sheet x 20 students = 60/8 sheets
To simplify this, we divide 60 by 8, which equals 7.5 sheets. So, the teacher needs to buy 7.5 sheets of red felt.
For yellow felt:
5/8 sheet x 20 students = 100/8 sheets
After simplifying, 100 divided by 8 equals 12.5 sheets. Therefore, the teacher needs to acquire 12.5 sheets of yellow felt.
If the area of the parallelogram is 540 in^2 what is the missing height?
Answers
(540 in^2)/(30 in) = x in
18 in = x in
The height is 18 in.
A circle has a radius of 26.85 inches what is the circumference of this circle
Answers
We'll use 3.14 for Pi
2 x 3.14 = 6.28
6.28 x 26.85 = 168.61800
Round
168.62
or
168.6
or
169
(it all depends on how you round)
when you divide a whole number by a fraction with a numerator of 1, explain how you can find the quotient
Answers
just multiply The number you started with be the denominator of the fraction.
4 * 255 = 1020
The reason why is that though I didn't say so you are actually multiply both top and bottom by 255
4 * 255
==
1 * 255
--
255
The bottom 255s cancel. and you are left with 4 * 255 on the top.
Short cut you want. Short cut you get.
Thanks for posting.
If Lewis's house increases in value by 3% each year over two decades, he could still lose money when he sells the house if _____.
Select the best answer from the choices provided.
a) interest rates on mortgages fell 3% over the same time
b) his repair and maintenance costs were more than 3% a year
c) homes in other areas of town lost more than 3% of their value
d) his down payment was significantly more than 3% of the house value
Answers
The correct answer is:
b) his repair and maintenance costs were more than 3% a year
Explanation:
Lewis's house increases in value by 3% each year. However, if he spends more than 3% of the value of his home each year in repairs and maintenance, when he sells the home, he will not be making money; he will in fact lose money, compared to what he's spent the last two decades.