You are a car salesperson and make $17.50 per hour. You are paid on a biweekly basis. Your boss encourages a competition between employees by letting you know that you will receive $100 for each new car you sell. In the first week, you work 20 hours and sell 2 cars. In the second week, you work 30 hours and sell 3 cars. How much will your pay be at the end of the these two weeks?
Answer:
Your pay at the end of the these two weeks will be $1,375
Step-by-step explanation:
In the first place, it is convenient to calculate your salary each week, and then simply add the salary for each week and obtain the fortnightly pay.
In the first week you work 20 hours and sell 2 cars. Knowing that you earn $ 17.50 per hour and you receive $ 100 for each new car that you sell, then to obtain the payment in this first week you perform the calculation:
20 hours* $17.50 per hour + 2 cars * $100 for each car= $350 + $200 = $550
In the second week you work 30 hours and sell 3 cars. Then to obtain the payment in this second week you perform the calculation:
30 hours* $17.50 per hour + 3 cars * $100 for each car= $525 + $300 = $825
Then your salary at the end of these two weeks is calculated by:
Payment of the first week + Payment of the second week
$550 + $825 = $1,375
Another way to solve this problem is, first, add the total number of hours you did during these two weeks and the number of cars sold:
hours= number of hours in the first week + number of hours in the second week= 20 hours + 30 hours= 50 hourscars= number of cars sold in the first week + number of cars sold in the second week= 2 cars + 3 cars= 5 carsThen your salary at the end of these two weeks is calculated by:
50 hours* $17.50 per hour + 5 cars * $100 for each car= $525 + $300 = $1,375
Note that either way you get the same result.
Your pay at the end of the these two weeks will be $1,375
(-2,7)(0,-3) write the equation that goes through the points
Solve the inequality and graph the solution on the line provided.
8r - 9> -17
Pls help me !!!
Answer:
[tex]\boxed { x > -1}[/tex]
Step-by-step explanation:
Solve the following inequality:
[tex]8x - 9 > - 17[/tex]
-Add [tex]9[/tex] to both sides:
[tex]8x - 9 + 9 > -17 + 9[/tex]
[tex]8x > -8[/tex]
-Divide both sides by [tex]8[/tex]:
[tex]\frac{8x}{8} > \frac{-8}{8}[/tex]
[tex]\boxed { x > -1}[/tex]
-The number line (graphed):
Help I’m so confused
Answer:
a
Step-by-step explanation:
90 minutes=1 and a half hour
hour=60 min
A jet ski company charges a flat fee of $22.00 plus $3.00 per hour to rent a jet ski. Another company charges a fee of $17.50 plus $3.75 per hour to rent the same jet ski. Write a system of equations that can be used to determine when the cost will be the same, then solve your system.
Answer: The cost will be same for 6 hours.
Step-by-step explanation:
Given: A jet ski company charges a flat fee of $22.00 plus $3.00 per hour to rent a jet ski.
Another company charges a fee of $17.50 plus $3.75 per hour to rent the same jet ski.
Let x = Number of hours
y = Total cost
Then, Total cost (in $) for first company (y) = 22+3x
Total cost (in $) for second company (y) = 17.50+3.75x
So required system of equations :
y = 22+3x
y= 17.50+3.75x
When the cost will be the same,
22+3x = 17.50+3.75x
⇒ 3x - 3.75x = 17.50- 22
⇒ - 0.75x = -4.5
⇒ x =6 [Divide both sides by -0.75]
Hence, the cost will be same for 6 hours.
WORK OUT:
NO SILLY ANSWERS OR I WILL REPORT!
Answer:
1
Step-by-step explanation:
Any number raised to the power of 0 equals to 1
Step-by-step explanation:
Hey there!
Given;
[tex] {7}^{0} [/tex]
The answer would be one (1).
Reason: Anything to the power "0" is 1.
So, 7^0 is 1.
Hope it helps...
Segment FB is graphed on the coordinate plane where Fis (- 7, - 4) and B is (5, 2) . If point A is graphed of the way from F to B , where is point A located ? 3/4 of the way from F to B, where is point A located?
Answer:
Step-by-step explanation:
7, 1
help me please :)))))
Answer:
p=2/3 mn
p/n=2/3 m(
(3)p/n=2/3(3)m
3p/n=2m
3p/2n=2m/2
3p/2n=m (letter B)
14.) George is designing a pool that will be 34 feet long. He plans to make
a scale drawing of the pool by letting 1/4 inch represent 1 foot. How long
should the line representing the length of the pool in the diagram be?
Answer:
I believe the answer is 8.5 inches long
Step-by-step explanation:
we have to find out how long 1/4 × 34 is, since each 1/4 represents one of the 34 feet of the pools length.
34×.25 = 8.5
A magic carpet is made with three colors of yarn. The ratio of each color in the carpet is shown below: 10 parts gold yarn 7 parts bronze yarn 3 parts silver yarn The magic carpet is made with a total of 150 meters of yarn. How much silver yarn is in the magic carpet?
Answer:
There are 22.5 meters of silver yarn
Step-by-step explanation:
Gold yarn : bronze yarn : silver yarn
10 : 7 : 3
Gold yarn = 10
bronze yarn = 7
silver yarn = 3
Total ratio = 20
Total meters = 150 meters
How much silver yarn is in the magic carpet?
Quantity of silver yarn in the carpet = silver yarn ratio / Total ratio × total meters of yarn
= 3 / 20 × 150
= 450 / 20
= 22.5 meters
There are 22.5 meters of silver yarn
Bronze yarn = bronze yarn ratio / Total ratio × total meters of yarn
= 7 / 20 × 150
= 1,050 / 20
= 52.5 meters
Bronze yarn = 52.5 meters
Quantity of gold yarn in the carpet = gold yarn ratio / Total ratio × total meters of yarn
= 10 / 20 × 150
= 1500 / 20
= 75 meters
Gold yarn = 75 meters
Colin predicted whether he got answers right or wrong in his 50 question exam. He identified the 8 questions he thought he got wrong. It turns out that Colin got 5 questions right that he thought he got wrong. Colin also got a total score of 45 out of 50 in the test. What is the percentage accuracy he had with predicting his scores?
Total questions, T = 50.
Colin thought 8 questions were right.
Colin got 5 questions right that he thought he got wrong.
Total score, s = 45.
So, actual number of questions which are wrong are 5.
Score according to him = 50 - 8 = 42.
Now, we know percentage accuracy is given by :
[tex]\% =100- \dfrac{|Actual\ value-Theoretical\ value|}{Actual\ Vlaue}\times 100\\\\\%=100-\dfrac{|45-42|}{42}\times 100\\\\\%=100-7.14 \%\\\\\%=92.86\%[/tex]
Therefore, percentage accuracy he had with predicting his scores is 92.86%.
Hence, this is the required solution.
How do you write 6.5 × 10^-1 in standard form?
PLEASE ANSWER
Select the correct answer.
Caroline rewrote a quadratic equation in vertex form by completing the square, but her work has errors.
Identify the first error in her work.
A.
She incorrectly factored out the value of a.
B.
She subtracted the wrong value to maintain balance after completing the square.
C.
She incorrectly combined the constant terms.
D.
She squared the wrong value when completing the square.
Answer:She incorrectly factored out the value of a.
Step-by-step explanation:
In solving a quadratic equation by completing the square method, the value a is not factored out. Rather, the steps involved are:
Divide through all the terms by a
Move the term c/a to the right had side
Complete the square on both sides using the value of b/2
Obtain the values of x
Answer: B. She subtracted the wrong value to maintain balance after completing the square.
What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2, 5)?
Answer:
C) y − 5 = −(x − 2)
Step-by-step explanation:
(28÷4)+3+(10-8)x 5 please try to help asap
Answer:
20
Step-by-step explanation:
what is 11/12 plus (-7/12)? simplest form
Answer:
1/2
Step-by-step explanation:
11/12 + (-7/12) have the same denominator so you can leave it as is.
11/12+(-7/12) is the same as 11/12-7/12 which is equal to 6/12 which can be simplified to 1/2
A recipe calls for 4 cups of flour to 6 tablespoons of shortening. How many tablespoons of shortening are needed for 6 cups of flour?
Answer:
8 tablespoons of shortening
Step-by-step explanation:
mathhhh
HELP PLEASEEEEEE!!!!
Answer:
c by 3 minutes a day your answer is c
Patty measured a house and its lot and made a scale drawing. In real life, the front patio is 14 meters wide. It is 2 cm wide in the drawing. 1 cm is equal to how many meters?
Write an equation in slope-intercept form that goes through the points (4, 4) and (1, 2).
Step-by-step explanation:
Hey there!
The given points are; (4,4) and (1,2) as (x1,y1) and (x2,y2).
Note: Use double point formula for the equation.
Now;
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]
Put all values.
[tex](y - 4) = \frac{2 - 4}{1 - 4} (x - 4)[/tex]
Simplify it.
[tex](y - 4) = \frac{ - 2}{ - 3} (x - 4)[/tex]
[tex](y - 4) = \frac{2}{3} (x - 4)[/tex]
[tex](y - 4) = \frac{2}{3} x - \frac{2}{3} \times 4[/tex]
[tex]y = \frac{2}{3}x - \frac{8}{3} + 4 [/tex]
[tex]y = \frac{2}{3} x - \frac{8 + 12}{3} [/tex]
[tex]y = \frac{2}{3} x + \frac{4}{3} [/tex]
Therefore, the equation is; y = 2/3x+4/3.
Hope it helps...
straws are sold in packs and boxes
there are 15 straws in each pack
there are 48 straws in each box
Tricia buts p packs of straws and b boxes of straws
write down an expression in terms of p and b for the total number of straws bought by Tricia
Tamara was worried about her six-year-old dog, Suze, so she
took her to three different veterinarians. Each vet told her the
approximate age of her dog in dog years based on Suze's
health. Tamara graphed her dog's age in dog years and
included the three vets' approximations at age 6.
Do
you
think this graph is a function?
Answer: Yes ido
Step-by-step explanation:
1. What is AC?
AC = 6
AC = 24
AC = 8
AC = 16
Answer:
AC = 24
Step-by-step explanation:
If you subtract C - A, you get
16 - (-8) = 16 + 8 = 24
Answer:
AC=24
Step-by-step explanation:
You were lifting weights with 220,000 and a volume of 1000cm^3. what is the density?
Answer:
220g/cm³
Step-by-step explanation:
Given parameters:
Mass of the weight = 220000g
Volume = 1000cm³
Unknown:
Density of weight = ?
Solution:
Density is the mass per unit volume of a substance.
Mass is the amount of matter in a substance.
Volume is the amount of space a substance occupies
Density = [tex]\frac{mass}{volume}[/tex]
Input the parameters and solve
Density = [tex]\frac{220000}{1000}[/tex] = 220g/cm³
John buys two ties that each cost $19.99 he also buys a pair of dress pants that were originally $64 but a discounted by 30% more over he has a coupon for $10 off a purchase of $50 or more purchase finally sales tax is 6% in his state how much did John pay for the ties and pants
Answer:
Cost of ties and pants = $52.5
Step-by-step explanation:
Total cost of ties = $19.99
cost of dress pants = $64, discountted by 30%
discount on dress pants = 30% of 64 = 0.3 × 64 = $19.2
∴ Discounted price of dress pants = 64 - 19.2 = $44.8
Total cost of ties and dress pants = 19.99 + 44.8 = $64.79
Now, let us apply the coupon
coupon = $10 off every purchase of $50 or more
Purchase amount = $64.79 ; therefore coupon applies.
Applying coupon
Purchase amount = 64.79 - 10 = $54.79
sale tax = 6% or purchase price
sale tax = 6% × 54.79
sale tax = 0.06 × 54.79 = $3.29
∴ Final cost of ties and dress pants = 54.79 - 3.29 = $52.5
Which correctly explains how to estimate 55 percent of 64? Round 55 percent to 40 percent and 64 to 60. Think of 40 percent as One-fourth. So, One-fourth of 60 is 15. Round 55 percent to 60 percent and 64 to 70. Think of 60 percent as One-third. So, One-third of 70 is 23.3. Round 55 percent to 50 percent and 64 to 70. Think of 50 percent as One-fifth. So, One-fifth of 60 is 12. Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as One-half. So, One-half of 60 is 30.
Answer:
D
Step-by-step explanation:
Write the Scientific Notation for 0.000315
Answer:
3.15 10^-4
Step-by-step explanation:
Answer:
3.15 × 10 to the power of -4Step-by-step explanation:
Hope this helps! <3
Solve the equation for x, and enter your answer below.
6(x-4) + 7 = -5
Answer:
x=2
Step-by-step explanation:
The distribution of annual profit at a chain of stores was approximately normal with mean \mu = \$66{,}000μ=$66,000mu, equals, dollar sign, 66, comma, 000 and standard deviation \sigma = \$21{,}000σ=$21,000sigma, equals, dollar sign, 21, comma, 000. The executives conducted an audit of the stores with the lowest 20\%20%20, percent of profits. What is closest to the maximum annual profit at a store where the executives conducted an audit?
Answer:
The closest to the maximum profit is [tex]x = \$ 83682[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = \$66,000[/tex]
The standard deviation is [tex]\sigma = \$ 21000[/tex]
The percentage of profit is 20%
Generally the closest to the maximum annual profit at a store where the executives conducted an audit is mathematically evaluated as follows
[tex]P(X > x ) = 0.20[/tex]
=> [tex]P(X > x ) = P(\frac{X -x}{\sigma } > \frac{x -66000}{21000} ) = 0.20[/tex]
From the z-table the z-score for 0.20 is
[tex]z-score = 0.842[/tex]
So
[tex]\frac{x -66000}{21000} = 0.842[/tex]
=> [tex]x = \$ 83682[/tex]
Answer:
48,000
Step-by-step explanation:
find the value of each variable 4y 3x 8 12
Answer:
4x812y3
Step-by-step explanation: