richard klein works as auto mechanic and earns the following commission rates 3.00 percent for oil changes 5.00 percent for tune ups and 6.25 percent on auto parts sales he is guaranteed a minimum salary of $2,450.00 per month last month he brought in $2,500.00 in oil changes $4,500.00 in tune ups and sold $28,200.00 in parts what is his gross pay for the month
Answer:
Richard's gross pay for the month was $ 4,512.5.
Step-by-step explanation:
Given that Richard Klein works as auto mechanic and earns the following commission rates: 3.00 percent for oil changes, 5.00 percent for tune ups and 6.25 percent on auto parts sales; and he is guaranteed a minimum salary of $ 2,450.00 per month, if last month he brought in $ 2,500.00 in oil changes, $ 4,500.00 in tune ups and sold $ 28,200.00 in parts, to determine what is his gross pay for the month the following calculation must be performed:
2,450 + (2,500 x 0.03) + (4,500 x 0.05) + (28,200 x 0.0625) = X
2,450 + 75 + 225 + 1,762.5 = X
2,450 + 2,062.5 = X
4,512.5 = X
Thus, Richard's gross pay for the month was $ 4,512.5.
Classify each pair of angles listed below as adjacent or vertical.
Answer: See Explanation
Step-by-step explanation:
ABC and DBE = Vertical
DBC and ABC = Adjacent
CBD and EBA = Vertical
EBA and ABC = Adjacent
Adjacent angles are two angles that have a common vertex and a common side but do not overlap.
Vertical angles are angles opposite each other where two lines cross.
Hope I could help!
A data set that consists of many values can be summarized using the five-number summary. Arrange these five values in order from least to greatest. median maximum minimum Q1 Q3
Answer:
minimum, Q1, median, Q3, maximum.
Step-by-step explanation:
i did the test
Answer:
minimum, Q1, median, Q3, maximum.
help plz show all your steps
Answer:
$15.5
Step-by-step explanation:
33.50-18=15.5
jope it helps ypu a lot.
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
B
Step-by-step explanation:
In 2012, California had a population of about 38 million people, and North Dakota had a population of about 699,000 people. What is the difference in population between California and North Dakota
Answer:
37,301,000
Step-by-step explanation:
The difference in population can be determined by subtracting the population of North Dakota from California
38,000,000 - 699,000 = 37,301,000
Find RS 2x+15 3x+5 6x-37
Answer:2x+15+6x-37/2=3x+5
We move all terms to the left:
2x+15+6x-37/2-(3x+5)=0
We add all the numbers together, and all the variables
8x-(3x+5)+15-37/2=0
We get rid of parentheses
8x-3x-5+15-37/2=0
We multiply all the terms by the denominator
8x*2-3x*2-37-5*2+15*2=0
We add all the numbers together, and all the variables
8x*2-3x*2-17=0
Wy multiply elements
16x-6x-17=0
We add all the numbers together, and all the variables
10x-17=0
We move all terms containing x to the left, all other terms to the right
10x=17
x=17/10
x=1+7/10
The value of RS is 31.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
If RS and UT are parallel, then their corresponding sides are proportional. Thus,
RS/UT = (2x + 15)/(6x - 37)
Now,
RS/UT = (2x + 15)/(6x - 37)
Cross-multiplying.
(2x + 15)UT = RS(6x - 37)
Expanding and simplifying.
2xUT + 15UT = 6xRS - 37RS
Rearranging.
6xRS - 2xUT = 15UT + 37RS
Factorizing.
2x(3RS - UT) = 15UT + 37RS
Dividing both sides by (3RS - UT):
2x = (15UT + 37RS)/(3RS - UT)
Substituting RS = 2x + 15 and UT = 6x - 37:
2x = (15(6x - 37) + 37(2x + 15))/(3(2x + 15) - (6x - 37))
Simplifying
2x = (90x - 555 + 74x + 555)/(6x + 36)
2x = (164x)/(6x + 36)
Multiplying both sides by (6x + 36):
12x² + 72x = 164x
Simplifying
12x² - 92x = 0
Factoring out 4x.
4x(3x - 23) = 0
So,
x = 0 or x = 23/3.
Since x cannot be 0 (as it would make UT = -37, (which is not possible),
x = 23/3.
Substituting this value of x into RS = 2x + 15.
RS = 2(23/3) + 15 = 31
Thus,
The value of RS is 31.
Learn more about expressions here:
https://brainly.com/question/3118662
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For the expression, combine like terms and write an equivalent expression 3 points
with fewer terms 1/2 (6 -4x) + 2 + 9x. *
SOMEONE HELP PLEASE !
Answer:
5+7x
Step-by-step explanation:
1/2(6-4x) +2 +9x
3-2x+2+9x
5+7x
A pilot took 1/2 hr to complete 1/3 of his trip. How much longer will it take him to complete his trip?
Answer:
1 hour
Step-by-step explanation:
which answer matches the sentence?
the quotient of a number n and 3 is 9
HELP ASAP
Answer:
n/3 = 9
Step-by-step explanation:
the quotient is the result you get from division
The price of a pair of shoes increases from $64 to $66. What is the percent increase to the nearest percent? The percent increase is %.
Answer:
Percent symbol 2 I think
Answer:
0.03
Step-by-step explanation:
Percent increase= amount of increase/ original amount
66 - 64 / 66 = 2 / 66 = 0.0303030303
A 8-foot ladder touches the side of a building at a point 6 feet above the ground. At what height would a 22-foot ladder touch the building if it makes the same angle with the ground as the shorter ladder? Round to the nearest tenth if necessary.
Answer:Katie is 100 cm tall and is standing so that her mother's shado covers her shadow. She is 90 cm from her mother and her mother's shadow is 225cm long. How tall is her mother?
Step-by-step explanation:
Cindy and her friends went out to breakfast. The total bill came to $49.87. They have to pay 6.2% sales tax and want to leave a 18% tip. What was the final cost of the bill?
Answer:$60.94
Step-by-step explanation:
49.87+11.07(the total of tax plus tip)=60.94
Find the equation of the line shown
Answer:
y = x+1
Step-by-step explanation:
Slope-intercept form
(y = mx+b)
m = slope and b = y-intercept
The line crosses the y-axis at (0, 1), therefore the y-intercept (b) = 1
The slope (m) = 1
Because the slope is 1, it does not need to be written in the equation, as any number multiplied by 1 is that number.
Use the scientific calculator if needed
Sin^-1 squareroot 2/2
Answer:
sin^-1 square root 2/2
=90
9+10=?
Guys pls help
Answer:
19
Step-by-step explanation:
9 + 10 = 19
Solve the the equation by substitution
5x=-2y+48
x=-3y+20
Answer:
(8, 4)
Step-by-step explanation:
i hope this helps :)
B
15
C
9
A
Find the length of "a"using
the Pythagorean Theorem.
Enter
Answer:
12
Step-by-step explanation:
Im assuming that 15 is the hyp. of the triangle.
Multiply 9 twice and 15 twice
Then subtract 225-81 and you get 144. Find the square root and you get 12.
what is 1 + 3(x + 7) simplified
Somebody help me quickly please:)
Need help with this thank you
Answer: x=56
Step-by-step explanation:
I started off by figuring out what’s the total internal angles for a pentagon which is 540
Then i did 72+ 3x +2x+89+99 = 540
And i solved for x=56
Ewen has 48 white tiles and 16 blue tiles.
Write down the ratio of the number of white tiles to the number of blue tiles.
Give your ratio in its simplest form
Answer:
3:1 in simplest form
Step-by-step explanation:
Can someone plz help me with this one problem plz!!!
(I Will Mark Brainliest)!!!!
Answer:
(0, -8) and (8, -6) are two points on the graph.
Step-by-step explanation:
Sara will use 7 cups of apples to make 4 batches of applesauce. Decide whether
each expression shows the number of cups of apples in one batch.
Choose Yes or No for each expression.
a. 7-4
Yes No
d. $
Yes No
b. 4 - 7
Yes No
e.
7x)
Yes No
c.
7
4
Yes No
f.
Yes No
Answer:
1,YES 2,NO 3,YES 4,YES 5,NO 6,NO
☘️HOPE THIS HELPS! ☘️
Step-by-step explanation:
a box of cereal states that there are 90 calories in a 3/4-cup serving. How many calories are there in 4 cups of the cereal.
Answer:
480 calories
Step-by-step explanation:
4 ÷ 3/4= 5 1/3 servings
90 x 5 1/3= 480
Find the measure of the exterior 21.
A. 10°
B. 70°
C. 110°
D. 150°
Answer:
im pretty sure that it is B please correct me if i am wrong:D
Answer:
B. 70°
Step-by-step explanation:
Please help! This is for my math class its due tomorrow
Answer:
negative one third
Step-by-step explanation:
So you go to the 1 and half
Somebody help me out please
Answer:
the correct answer is d.
Step-by-step explanation:
i hope this helps :)
Answer:
D.
Step-by-step explanation:
The line crosses the x-axis at 4 and the y-axis at -2.
Answer: D.
of the people at a tennis club are women.
The rest of the people are men.
What fraction of the people are men?
Answer:
3/5
Step-by-step explanation:
The question is incomplete. Let us use this as the complete version;
Of the people at a tennis club 2/5 are women. The rest of the people are men. What fraction of the people are men?
Let the total people be 1
Given
Fraction that are women = 2/5
Fraction that are men = 1 - 2/5
Fraction that are men = (5-2)/5
Fraction that are men = 3/5
1) In Alameda County, the sales tax is 11%. What would the difference in sales tax between a video game that costs $31.99 and a book that costs $18.99 be? 2) In Contra Costa County, the sales tax is 11.5%. What would the difference in sales tax between the same video game and book be in Contra Costa County? 3) A customer returns an item to a toy store in Contra Costa County, but the store has another location in Alameda County. If the customer's receipt shows that he paid $3.22 in tax on an item that costs $27.99, was the item purchased in Contra Costa County or Alameda County?
Answer:
Step-by-step explanation:
1. 3.52 tax for the game, 2.09 for the book
difference between the two, 1.43
2. 3.68 in tax for the book, 2.18 for the book
difference between the two, 1.50
3. It was purchased in Contra Costa county with 11.5% sales tax