2.) Bill sells cleaning products on commission. He earns 40% commission on his sales. If
he has sales of $983, how much commission does he earn?
Answer:
$393.20
Step-by-step explanation:
There are two easy ways to solve this:
1) Use a setup and cross multiply.
First, set up your problem.
$ x = 40%
$983 100%
$983 is the total amount, so it is equal to 100%. We're trying to find 40% of it, so we can label the amount as $x. Remember, each side has to be in the same type of measurements (i.e. dollars, percentages, inches, etc.).
Then, cross multiply. You should end up with:
100x = 39,320
Then, simplify.
x = 393.2
x = $393.20
2) Convert the percentage to a decimal and multiply.
First, convert the percentage you're looking for into a decimal:
40% × 100 = 0.4
Then, multiply the decimal with the total sales amount:
$983 × 0.4 = 393.2
= $393.20
40% × 100 = 0.4
$983 × 0.4 = $393.20
Bill earns $393.20 commission total.
Jessica, Kareem, and Lamar served a total of 64 orders Monday at the school cafeteria. Jessica served 8 fewer orders than Lamar. Kareem served 2 times as
many orders as Lamar. How many orders did they each serve?
Answer:
Jessica: 10 orders
Lamar: 18 orders
Kareem: 36 orders
Step-by-step explanation:
Let's first designate each person with a letter.
The number of orders served by Jessica can be designated as [tex]J[/tex]
The number of orders served by Kareem can be designated as [tex]K[/tex]
The number of orders served by Lamar can be designated as [tex]L[/tex]
We know that they all served a total of 64 orders. This can be expressed as the sum of their orders equaling 64.
[tex]J+K+L=64[/tex]
We also know that Jessica served 8 fewer orders than Lamar. This can be expressed as the number of orders served by Jessica, [tex]J[/tex], being equal to Lamar's orders [tex]L[/tex] minus 8.
[tex]J = L-8[/tex]
Fianlly, we know that Kareem served twice as many orders as Lamar. This can be expressed as the number of order's served by Kareem, [tex]K[/tex], being 2 times Lamar's orders [tex]L[/tex].
[tex]K = 2L[/tex]
With these 2 equalities, we can substitute [tex]J[/tex] and [tex]K[/tex] in our original equation,
[tex]J+K+L=64[/tex]
with their values expressed as a subtraction or multiplication of [tex]L[/tex].
[tex]J[/tex] will be substituted with [tex]L-8[/tex], and [tex]K[/tex] will be substituted with [tex]2L[/tex].
[tex]J+K+L=64[/tex]
With substitutions:
[tex](L-8) + 2L + L = 64[/tex]
We can simplify this by combining the L-terms:
[tex]L + 2L + L -8 = 64\\4L - 8 = 64[/tex]
Next, we'll add 8 to both sides.
[tex]4L = 72[/tex]
Divide both sides by 4:
[tex]L = 18[/tex]
Thus, Lamar served 18 orders.
Using our expressions, we can find how many orders the others served.
Jessica:
[tex]J = L-8\\J = 18 -8\\J = 10[/tex]
Jessica served 10 orders.
Kareem:
[tex]K = 2L\\K = 2*18\\K = 36[/tex]
Kareem served 36 orders.
How is dividing and multiplying with an area model similar and How is it different?
Answer:
In multiplication the numbers you multiply are called factors; the answer is called the product. In division the number being divided is the dividend, the number that divides it is the divisor, and the answer is the quotient.
I have a six sided cube what is the experimental probability of rolling a six
PLSS HELPP
What is the value of x in this equation?
4x − 2(2x − 2) = 2(2x − 4)
Someone please help me.
Answer:
C
Step-by-step explanation:
Prime factors: 2, 3, 3
what is six less than 9
Answer:
3
Step-by-step explanation:
9-6=3
Evaluate the following: −3 − (−8).
Answer:
5
Step-by-step explanation:
When you have a negative next to a negative, you can turn it into a positive. For example the -(-8) would now be +8. This is called the airplane strategy because it forms a airplane if you flip you sheet of paper or your device.
From here, we have -3+8.
Now we subtract since each value has a different sign and we get +5.
Hope this helps!! :)
Answer:
5
Step-by-step explanation:
-*-=+
-*+=-
+*+=+
-3-(-8)=5
-3+8=5
In Mr.Vargas 7th periodClass 12 out of 32 students received a failing grade what is the percentage of the students who passed
Answer: 20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:32-12=20
20+12=32
whats 8.546 rounded to the nearest one
Answer:
9
Step-by-step explanation:
ok so first if the place you're rounding to is 5 or more you round up and if the place is 4 or less then it stays the same
8.5
5 is 5 or more so you round up
to 9
What is the fraction in simplest form?
14/16
7/8
28/32
7/16
7/9
Answer:
7/8
Step-by-step explanation:
-5m - 2m = 21 what is m
Answer:
m=-3
Step-by-step explanation:
Answer:
m = -3
Step-by-step explanation:
Simplify -5m - 2m to -7m
-7m = 21
Divide both sides by -7
m = 21/-7
Simplify 21/-7 to -3
m = -3
Hope this helps!
-Jerc
Javier has a basket of oranges and apples. The number of oranges is 2 more than twice the number of apples in the basket. The difference of half the number of oranges and half the number of apples is 4.
An equation created to find the number of apples Javier has in the basket will have
Number of oranges is (2a + 2)
Half the number of oranges is 1/2(2a + 2)
Half the number of apples is 1/2a
The difference between half the number of oranges and half the number of apples equals 4 looks like this:
1/2(2a + 2) - 1/2a = 4
Now solve.
1/2(2a + 2) - 1/2a = 4 (multiply 1/2 by what's inside the parenthesis)
1a + 1 - 1/2a = 4
1a + 1 -1 - 1/2a = 4 - 1
1a - 1/2a = 3
1/2a = 3
1/2a ÷ 1/2 = 3 ÷ 1/2
a = 6
He has 6 apples.
Substitute 6 into the equation for the number of oranges.
2a + 2
2(6) + 2 = 14
He has 14 oranges.
Check your work.
The difference between half the number of oranges (7) and half the number of apples (3) does indeed equal 4.
Therefore, the equation has one solution.
Answer:
it is one solutionStep-by-step explanation:
Simplify: (x3 y-2)12 (x-5y)-12
A) xy
B) x12xy
C) yx
D) y12xy
Answer: b
Step-by-step explanation:
3 questions on percentage ❤️
Answer:
Question 1: 131.25 Question 2: 83.33 Question 3. 133.33
Step-by-step explanation:
1. 131.25% x 150
2. Trial and error
3. 60 ÷ 45%
The merry-go-round at the fair rotates 12 times each minute, and children are 15 feet from the center of the wheel when they are in their seats. What is the linear velocity of the children in feet per hour?
360π
720π
21,600π
43,200π
Answer:
i think c 21600pi
Step-by-step explanation:
Answer:
C. 21600π
Step-by-step explanation:
help ASAP. Which relation is a function?
Answer:
Top right graph.
Step-by-step explanation:
In order for a graph to be a function, it must pass the Vertical Line Test. All the graphs fail to pass the Vertical Line Test except for the top right graph.
Each x-value must have only 1 y-value. No 1 x-value can hold 2 y-values.
what’s 4 2/3 divided by 3 1/2 ?
Answer:
the answer to this problemis 1 1/3
Three times a number decreased by 5 equals 10. Write the equation and find the number.
Answer:
3x - 5 = 10
Step-by-step explanation:
factorizar por el motodo de aspas
[tex]12x^2 = 3x + 2[/tex]
Answer:
Step-by-step explanation:
12x²-3x=2
[tex]x^2-\frac{1}{4}x=\frac{1}{6}\\x^2-\frac{1}{4}x+\frac{1}{64}=\frac{1}{6}+\frac{1}{64}\\(x-\frac{1}{8})^2=\frac{ 32+3 }{192}=\frac{35}{192}\\\\(x-\frac{1}{8} )^2-(\sqrt{\frac{35}{192} } )^2=0\\(x-\frac{1}{8} +\sqrt{\frac{35}{192} } )(x-\frac{1}{8} -\sqrt{\frac{35}{192} } )=0[/tex]
solve the inequality 2(4+2x) is less than or equal to 5x+5
a. x is Less than or equal to -2
b. x is greater than or equal to -2
c. x is less than or equal to 3
d. x is greater than or equal to 3
Answer:
the answer is d, anything lower than 3 would make the solution incorrect
A rectangle is twice as long as it is wide. If it has an area of 84.5 square inches, what are its dimensions?
Enter them below, separated by a comma.
Answer:
The rectangle is 18 square inches
Step-by-step explanation:
A rectangle has Length that is twice its Width.
The Width = 3.
What is the area of the rectangle?
First, we know that L, the length, is 6 (twice as long as its width).
Remember that the area of a rectangle is Length times Width:
A = L W
and so
A = 6 × 3 = 18
The rectangle is 18 square inches
wolverine and cyclops ordered large pizzas for dinner. Wolverine ate 1-3/8 pizzas and cyclops ate 1/12 of a pizza. which of the following statements is true
Answer:
What statements are you talking about
Step-by-step explanation:
x times y equals 45.
What is x and y?
Answer:
9 and 5
Step-by-step explanation:
There are many answers
Answer:
There could be a different answer but this is what i got.
Step-by-step explanation:
1 x 45,
3 x 15,
or 5 x 9
what is the slope of -1,3 and 3,15
Answer:
3
Step-by-step explanation:
Psychology 101: Is it normal for school age people to have crushes on their teachers or professors?
Answer:
it is normal, but not right to act upon
Question 11 of 17
What division equation does the model show ?
MARKING BRAINLY PLEASE JUST HELPPP
Planet Earth has a mass of 5.9726 × 10 24 kilograms. And although 70% of the Earth's surface is made of water, the water's mass is only 5 × 10 -4 percent of the Earth's total mass. Use scientific notation to estimate the mass of the planet's water. In your final answer, include all of your estimates and calculations.
Answer:
i don't it is correct or not........
Step-by-step explanation:
The Mass of Earth = 5.9742 × 1024 kilograms == == The Earth is (As of May 2000) is thought to be approximately 5.972 sextillion (5,972,000,000,000,000,000,000) metric tons.
A metric ton is a thousand kilograms, or 2,204.62 pounds.
Approximately 6,000,000,000,000,000,000,000,000 (6x1024) kilograms.
Answer:
Mass on water on earth is 29.5×10^20 kg approximately.
Step-by-step explanation:
Mass of earth= 5.9726 × 10^ 24 kg
water's mass is only 5 × 10 -4 percent of the Earth's total mass.
so mass of water = 5.9726×10^24 kg×5×10^-4=29.8603×10^20kg approximately
rewrite the function and isolate Y
Compute please help
Answer:
- 3.46 + ( - 4.23 ) = 7.69
- 5.6 + 27.4 = 21.8