Answer:
Base Fee = $7
Extra charges = $7
Step-by-step explanation:
Represent the base charge with x and the additiional charges with y.
For the 5 hours job, we have:
[tex]42 = x + 5y[/tex]
For the 3 hour job
[tex]28 = x + 3y[/tex]
Solving for x and y;
[tex]42 = x + 5y[/tex]
[tex]28 = x + 3y[/tex]
Subtract the second equation from the first
[tex]42 - 28 = x - x + 5y - 3y[/tex]
[tex]14 = 2y[/tex]
Solve for y
[tex]y = 14/2[/tex]
[tex]y = 7[/tex]
Substitute 7 for y n the first equation
[tex]42 = x + 5y[/tex]
[tex]42 = x + 5 * 7[/tex]
[tex]42 = x + 35[/tex]
[tex]x = 42 - 35[/tex]
[tex]x = 7[/tex]
Answer:
Two points that are not intercepts
Step-by-step explanation:
Khan said :)
A salesperson earns $8 per hour plus 6% commission on her sales. In a week when she worked 40 hours, her total earning were $692. What was the total amount of her sales for the week?
Answer:
The answer is $6216.66
Step-by-step explanation:
(8*40)+6%*×=$692; 320 + 0.6x = 692; .6×=692-320; 0.6x=373; ×=373÷.6;
x=6216.66
Total earnings= $692
Total hours worked = 40 hours
Earnings per hour = $8
Total hourly earnings = Total hours worked × Earnings per hour
= 40 hours × $8
= $320
Commission earnings = Total earnings - Total hourly earnings
= $692 - $320
= $372
Total amount of her sales for the week = x
6% of x = $372
0.06 × x = 372
0.06x = 372
x = 372 / 0.06
x = $6,200
Therefore, her total amount of her sales for the week is $6,200
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The editor of a textbook publishing company is deciding whether to publish a proposed textbook. Information on previous textbooks published show that 20 %20% are huge successes, 30 %30% are modest successes, 30 %30% break even, and 20 %20% are losers. Before a decision is made, the book will be reviewed. In the past, 99 %99% of the huge successes received favorable reviews, 60 %60% of the moderate successes received favorable reviews, 40 %40% of the break-even books received favorable reviews, and 30 %30% of the losers received favorable reviews. If the textbook receives a favorable review, what is the probability that it will be huge success?
Answer:
[tex]Probability = 0.198[/tex]
Step-by-step explanation:
Given
Publish
[tex]Huge\ Success = 20\%[/tex]
[tex]Modest\ Success = 30\%[/tex]
[tex]Break\ Even = 30\%[/tex]
[tex]Losers = 20\%[/tex]
Favorable Reviews:
[tex]Huge\ Success = 99\%[/tex]
[tex]Modest\ Success = 60\%[/tex]
[tex]Break\ Even = 40\%[/tex]
[tex]Losers = 30\%[/tex]
Required
Determine the probability that a textbook is huge success and favorable
To do this, we simply multiply the probability of a textbook being huge success and being favorably reviewed. as follows;
[tex]Probability = 20\% * 99\%[/tex]
[tex]Probability = 0.198[/tex]
PLEASE ANSWER. Its suppose to be really easy. I am in the middle of a test PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!! I will give you more than 5 points!!
Answer:
[tex]8x+8[/tex]
Step-by-step explanation:
[tex]2((x-2)+(3x+6))=2(4x+4)=8x+8[/tex]
Trish has two containers of water for a camping trip. One container holds 2 times as much as the other. The total amount of water is 21 gallons. How much water is in each container?
Answer: 7 gallons; 14 gallons
Step-by-step explanation:
Let the amount of water in the first container be x.
Since one container holds 2 times as much as the other, the second container will be: = x × 2 = 2x
The total amount of water is 21 gallons. This means:
x + 2x = 21
3x = 21
x = 7 gallons
First container = 7 gallons
Second container= 2x = 2×7 = 14 gallons
HELP ASAP WILL MARK BRAINLIEST
Public Libraries The number of libraries in the United
States from 1980 to 2000 can be modeled by the function
f(x) 5 38.9x 1 8685.8 where x is the number of years
since 1980.
a. Graph the function and identify its domain and range.
b. Find the number of libraries in the United States in 1996.
Explain how you found your answer.
c. When were there 9000 libraries in the United States?
Explain how you found your answer.
was this helpful??? i tried!
PLEASE HELP ME! URGENT!!
Answer:
D. y=0.3(x+0.8)^2 -10
Step-by-step explanation:
When looking at the y-intercepts (the number at the very end of the equation) of the equations -10 is the one farthest away from the y-axis
Point M is on line segment overline LN . Given MN = 3x , LN = 4x + 9 , and LM = 2x + 7 determine the numerical length of LM .
Answer: 11
Step-by-step explanation:just trust me
The numerical length of LM will be 11.
It is given that point M is on line segment overline LN . Also , MN = 3x , LN = 4x + 9 , and LM = 2x + 7.
We have to determine that what will be the numerical length of LM ?
What will be the value of x in equation ; 3x + 2 = 8 ?
The value of x will be 2.
From the question we can get that ,
MN + LM = LN
2x + 7 + 3x = 4x + 9
5x + 7 = 4x + 9
x = 2
Now , we can use the value of x to find out length of LM ;
∵ LM = 2x + 7
⇒ LM = 2 × 2 + 7
⇒ LM = 11.
Thus , the numerical length of LM will be 11.
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im really confused lol
Solve the inequality 3(x - 2) + 1 = x + 2(x + 2).
A XS4
B. XX-5
C. no solution
D. all real numbers
Answer:
No solution
Step-by-step explanation:
calculate the sum) 3x-5+x+2(x+2)
distribute 2 through the parentheses) 3x-5=x+2x+4
calculate the like terms) 3x-5=3x+4
calculate equal terms on both sides of the equation) -5 = 4
-5 = 4 meaning that the statement is false!
Solve for v.
- 13 = 7+5v
Answer:
Step-by-step explanation:
- 13 = 7+5v
subtract 7 on both sides to cancel out 7
- 20 = 5v
divide both sides by 5 to isolate v
- 4 = v, v is negative because negative divided by a positive will make your answer stay negative
2,917,007 in word form
Answer:
Two million nine hundred seventeen thousand and seven
Step-by-step explanation:
Solve the equation.
If necessary
Please help me !!
Answer:
x = - 1
Step-by-step explanation:
Given
[tex]\frac{3}{4}[/tex] x + 3 - 2x = - [tex]\frac{1}{4}[/tex] + [tex]\frac{1}{2}[/tex] x + 5
Multiply through by 4 ( the LCM of 4 and 2 ) to clear the fractions
3x + 12 - 8x = - 1 + 2x + 20 ( simplify both sides )
- 5x + 12 = 2x + 19 ( subtract 2x from both sides )
- 7x + 12 = 19 ( subtract 12 from both sides )
- 7x = 7 ( divide both sides by - 7 )
x = - 1
Please help me I’ll give brainliest
Answer:
x<3
Step-by-step explanation:
Is not a negative so it wont be on the left
1+1 answer first to get brainliest
Answer:
window! but just incase someone out there doesn't know the real answer it's two, I'm looking at you Carol
lol anyways, have a great day!
Answer: 2
Step-by-step explanation:
Select which angle is supplementary to angle 1
Answer:
Angle 2
Step-by-step explanation:
Suplementary - 2 angles which equal 180 degrees
Which one of these grids is shaded red and blue in the ratio 5 : 7?
А
B
с
D
E
F
А
B
С
D
1
E
F
Answer:
E
Step-by-step explanation:
there are 5 red boxes and 7 blue boxes
Question 3. The diameter M of a medium coffee CUP at a coffee shop follows the Normal distribution with a mean of 2.96 inches and a standard deviation of 0.02 inches. The diameter L of a medium coffee cup LID at the coffee shop follows the Normal distribution with a mean of 3.01 inches and standard deviation of 0.01 inches. Assume that M and L are independent random variables. Let D = L-M be the difference between the lid's diameter.
What is the mean of D? Use 2 places after the decimal.
What is the standard deviation of D? Use 4 places after the decimal.
For a lid to fit on the cup, the difference, D, needs to be less than .08 inches. Find the probability that a randomly select lid will fit on the medium coffee cup. Use 3 places after the decimal.
Answer:
The diameter M of a medium coffee CUP at a coffee shop follows the Normal distribution with a mean of 2.96 inches and a standard ... Assume that M and L are independent random variables. ... Andre ran 2 kilometers in 15 minutes, and Jada ran 3 kilometers in 20 minutes.
you either add all of the math numbers together or you either multiply all of the math numbers together cuz
Step-by-step explanation:
On a coordinate plane, a line is drawn between points (negative 4, negative 3) and (negative 1, 4).
Use the Pythagorean theorem to find the distance on the coordinate plane.
a2 + b2 = c2
What is the distance between the two points?
StartRoot 20 EndRoot
StartRoot 40 EndRoot
StartRoot 45 EndRoot
StartRoot 58 EndRoot
Answer:
StartRoot 58 EndRoot
Step-by-step explanation:
Given the coordinates (-4, -3) and (-1, 4)
To get the distance between the two points, we will use the formula:
D =√(y2-y1)²+(x2-x1)²
From the coordinates, x1 = -4, y1 = -3, x2 = -1 and y2 = 4
Substitute
D =√(4-(-3))²+(-1-(-4))²
D = √(4+3)²+(-1+4)²
D = √7²+3²
D = √49+9
D = √58
Hence the correct option is D
StartRoot 58 EndRoot
Answer:
D. 58
Step-by-step explanation:
A farmer has 180 bushels of wheat to sell at her roadside stand. She sells an average of
15. bushels each day. Represent the total change in the number of bushels she has for sale after
8
7 days.
The total change in the number of bushels she has for sale is
(Type an integer, proper fraction, or mixed number.)
Answer:
Step-by-step explanation:
Elope
look at the picture .
Answer:
the answer is c
Step-by-step explanation:
7(2+5x)=3x+14
14+35x=3x+14
35x-3x=14-14
32x=0
32x 32x X=0
What’s 19,975 divided by 25 show your work
the answer to the question is 799
Evaluate the expression when c=5 and d=6.
7c+d.
Answer:
41
Step-by-step explanation:
Step 1:
7c + d Equation
Step 2:
7 ( 5 ) + 6 Input c and d
Step 3:
35 + 6 Multiply
Answer:
41 Add
Hope This Helps :)
Alonso plans to buy a new kayak that costs $2,100. But he needs to pay a 8.5% tax. What is the total cost of the kayak?
Answer:
$ 2,273.25
Step-by-step explanation:
if y=4 when x=12, ind y when x=24
Answer:
y=8
Step-by-step explanation:12 time what equals 24 its times two so you do 4 time 2 and you get your answer.
PLEASE HELP ASAP A bucket contains 48 fluid ounces of water. How many quarts of water does the bucket contain? Enter your answer as a decimal in the box. BLANK quarts
Answer:
1.5 Quarts
Step-by-step explanation:
A quart contains 32 fluid ounces. So divide 48 by 32. You get 1.5.
So the bucket contains 1.5 Quarts.
What is the sample mean of the data set? Round to the
nearest hundredth
1
33
What is the sample standard deviation of the sample?
Round to the nearest hundredth
2
34
3
42
4
36
5
39
6
36
7
39
8
40
9
44
Answer:
38.11 and 3.66
Step-by-step explanation:
The sample mean and standard deviation for the given data are 38.11 and 3.66 respectively.
What is the mean absolute deviation?The average distance between an observation's mean and its variance is shown by the mean absolute deviation, a measure of variability. mean makes understanding simpler by using the data's original units. A wider deviation from the average is reflected by larger values. The mean absolute deviation is sometimes referred to as the average absolute deviation and the mean deviation.
The mean is the average of the data set and given by
Mean = sum of all the data sets/number of data set
Mean = (33 + 34 + 42 + 36 + 39 + 36 + 39 + 40 + 44)/9
Mean = 38.11
Now standard deviation is given by
[tex]s = \sqrt{\frac{1}{N-1} \sum_{i=1}^N (x_i - \overline{x})^2}[/tex]
Where N is the number of data while the x bar is the mean.
So by using the formula,
Standard deviation = 3.66.
Hence "The sample mean and standard deviation for the given data are 38.11 and 3.66 respectively".
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Help on activity serious
Answer:
The M it's in 3 cuz y2-y1
x2-x1
y=1x-3 find the value of y
Answer:
Find the Slope and y-intercept
Use the slope-intercept form
y=mx+b
to find the slope
m and y-intercept
b.
Slope:
1
y-intercept:
(0,3)
Step-by-step explanation:
Each big square below represents one whole.


What percent is represented by the shaded area?
Answer:
160%
Step-by-step explanation:
the shaded area is the blue area.
there are 2 big square
one is shaded and the other one is shaded by 60%
100%+60%=160%
Help me please I don’t get it I put false and my teacher said it’s wrong
ur teacher is wrong im in algebra 2 an this is correct