Answer:
He works until 5:30.
Step-by-step explanation:
ok so first, every day don would take a total of 7 hours and 30 minutes on mon-Thurs. If we subtract his lunch from that total it would be 7 hours so next we do 7 hours times 9.75 which is 68.25$. Now that we know how much he makes per day, we times that by 4 since mon-thurs is 4 days. This would be 273$. Now we need to get to 360.75 so we subtract that. This would be 87.75$. Now if a normal day is 68.25$ and friday is 87.75, we find the diffrence which is 19.50. which is also 9.75(an hour) x 2 resulting in 2 hours extra. Therefore, he works 9 hours and 30 minutes on fridays (until 5:30). Thanks for putting in the work to understand and have a nice day!
Don must work approximately 9 additional hours on Friday to have a total pay of $360.75 for the week.
How to determine how late he must workDon works from 8:00 AM to 3:30 PM Monday through Thursday. Let's calculate his total work hours for these four days:
Total work hours from Monday to Thursday:
(3:30 PM - 8:00 AM) - 0.5 hours (lunch break)
= 7.5 hours - 0.5 hours
= 7 hours (per day)
Total work hours for the week (Monday to Thursday):
4 days x 7 hours/day = 28 hours
Total pay for the week = Hourly rate x Total work hours + Additional hours on Friday
$360.75 = $9.75 x 28 hours + Additional hours on Friday
Additional hours on Friday = ($360.75 - $9.75 x 28) / $9.75
Additional hours on Friday = ($360.75 - $273) / $9.75
Additional hours on Friday = $87.75 / $9.75
Additional hours on Friday ≈ 9 hours (rounded to the nearest hour)
Learn more about work hours
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A random sample of 25 boxes of cereal have a mean of 372.5grams and a standard deviation of 15 grams. Does an average box of cereal contain more than 368 grams of cereal? Test hypothesis at the 5% significance level, outline all steps involved. (9mks)
Using the t-distribution, it is found that since the test statistic is less than the critical value for the right-tailed test, there is not enough evidence to conclude that an average box of cereal contain more than 368 grams of cereal.
At the null hypothesis, it is tested if the average box of cereal does not contain more than 368 grams, that is:
[tex]H_0: \mu \leq 368[/tex]
At the alternative hypothesis, it is tested if it contains, that is:
[tex]H_1: \mu > 368[/tex]
We have the standard deviation for the sample, hence, the t-distribution is used to solve this question.
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.In this problem, the values of the parameters are: [tex]\overline{x} = 372.5, \mu = 368, s = 15, n = 25[/tex].
Hence, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{372.5 - 368}{\frac{15}{\sqrt{25}}}[/tex]
[tex]t = 1.5[/tex]
The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05, with 25 -1 = 24 df, is of [tex]t^{\ast} = 1.71[/tex].
Since the test statistic is less than the critical value for the right-tailed test, there is not enough evidence to conclude that an average box of cereal contain more than 368 grams of cereal.
You can learn more about the use of the t-distribution to test an hypothesis at https://brainly.com/question/13873630
y = -5x+1 linear or nonlinear
57846*3746 help please
Answer:216691116
Step-by-step explanation:
Answer:
216,691,116
Step-by-step explanation:
Malcom and his sister ran 3 races. Their distances are shown below.
Race Malcom's / Sister Distance
1. 10 yards 300 inches
2. 18 feet 180 inches
3. 120 inches 5 feet
Who can run the farthest? How do you know? Use the lines and space below to
prove your answer.
======================================================
Explanation:
Race 1
Let's convert Malcom's distance to inches so we can compare his distance to his sister's.
1 yard = 3 feet
10 yards = 30 feet (multiply both sides by 10)
1 foot = 12 inches
30 feet = 360 inches (multiply both sides by 30)
In Malcom's first race, he ran 360 inches. He has run the furthest compared to his sister who ran 300 inches.
------------------------
Race 2
Convert Malcom's distance from feet to inches.
1 foot = 12 inches
18 feet = 216 inches (multiply both sides by 18)
Malcom runs 216 inches compared to his sister's distance of 180 inches. Malcom is the winner again.
------------------------
Race 3
120 inches = 120/12 = 10 feet
Divide by 12 to convert from inches to feet, or you could have these steps
12 inches = 1 ft
120 inches = 10 feet
after multiplying both sides by 10.
Malcom runs 10 feet compared to 5 feet which his sister runs.
In each race, Malcom has ran the furthest.
what is the answer when you multiply 5.30 one by 5.02
Answer:
I think is there answer is 26.606
LAST ATTEMPT MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)
Answers:
[tex]L(1,0) \to L \ ' \ (4.5,0)\\\\J(-1,-1) \to J \ ' \ (-4.5, 4.5)\\\\K(-1,1) \to K \ ' \ (-4.5,4.5)\\\\[/tex]
===================================
Explanation:
We multiply each coordinate of each point by the scale factor 4.5
For example, point L(1,0) moves to L ' (4.5, 0) since 4.5*1 = 4.5
This trick only works because the origin is the center of dilation. If the center is some other point, then you'd have to translate first, dilate, then translate back again.
Solve for x:
4x-3Divided by 2 =5/3
Answer:
x=19/12
Step-by-step explanation:
(4x-3)/2 = 5/3
4x-3 = 10/3
3 = 9/3
4x = 10/3 + 9/3 = 19/3
x = 19/12
Hey there!
4x - 3/2 = 5/3
ADD 3/2 to BOTH SIDES
4x - 3/2 + 3/2 = 5/3 + 3/2
CANCEL out: -3/2 + 3/2 because it gives you 1
KEEP: 5/3 + 3/2 because it helps solve for the x-value.
NEW EQUATION: 4x = 5/3 + 3/2
SIMPLIFY IT!
4x = 19/6
DIVIDE 4 to BOTH SIDES
4x ÷ 4 = 19/6 ÷ 4
CANCEL out: 4 ÷ 4 because it gives you 1
KEEP: 19/6 ÷ 4 because it helps solve for the x-value
NEW EQUATION: x = 19/6 ÷ 4
SIMPLIFY IT!
x = 19/24
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
It cost Joseph $21.90 to send 146 text messages. How many text messages did he send if he spent $6.45?
Answer:
43 messages
Step-by-step explanation:
Given:
146 messages = $21.90
x messages = $6.45
Finding x by cross-multiplication:
x = 146*6.45/21.90 = 43
Hope this helps! :)
Image attached giving 25 points please help
Answer:
i think x = -5, y = -7 is a other solution set
There are eight swans swimming on a pond and four of those swans are
black. What fraction of the swans are black?
Answer: A. (4/8)
Step-by-step explanation: If there is 4 black swans and 8 swans in total you could see it's 4 black swan out of 8 total swans. You could do
8/8 - 4/8 = 4/8 to find out the answer too.
What is the length of CB in ABC
There needs to be values to answer the question.
10 miles per hour is an example of an objects what?
Step-by-step explanation:
Speed is the correct answer
Find the slope of the line. Describe how one variable changes in relation to the other.
A. 2/3; the amount of water increases by 2 gallons every 3 min
B. -2/3; the amount of water decreases by 2 gallons every 3 min
C. -3/2; the amount of water decreases by 3 gallons every 2 min
D. -1; the amount of water decreases by 1 gallon every minute
Answer:
D. -1 the amount of water decreases by 1 gallon every minute.
Step-by-step explanation:
15, 0 -> 12, 3
3 - 0 = 3
-------
12 - 15 = -3
3/ -3 = -1
solve: s=4 + square rooted s+5
a book is marked down by 28% from the original price of 19.50 what is the new price
Answer:
$14.04
Step-by-step explanation:
to find the answer we can multiply 19.5 by 28% and use that answer to subtract to 19.5 or we can just directly multiply 19.5 by 72%
19.5 * 72% = 14.04
it costs $14.04 after a markdown of 28%
WILL MARK BRAINLIEST The width of a table is 2 feet less than the length. The area is 20 square feet. Find the dimensions. Show and
explain all work using mathematical concepts in this module.
Answer:
length ≈ 5.583 ft
width ≈ 3.583 ft
Step-by-step explanation:
If we let x represent the length of the table in feet, then the width is (x-2). The area is ...
A = LW
20 = x(x -2)
Writing this in standard form gives ...
x^2 -2x -20 = 0
The coefficients used in the quadratic formula are a=1, b=-2, c=-20. The solutions are ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-2)\pm\sqrt{(-2)^2-4(1)(-20)}}{2(1)}\\\\=\dfrac{2\pm\sqrt{4+80}}{2}=1\pm\sqrt{21}[/tex]
Of these values, the only one that makes sense is ...
length = 1+√21 ≈ 5.583 ft
width = length -2 ≈ 3.583 ft
Let width is x
length be x+2
Area=Length ×Breadthx(x+2)=20x²+2x=20x²+2x-20=0On solving
we get
x is around 3.58 or 3.6ft
Width=3.6ftLength=3.6+2=5.6ftJon is solving this division problem: 7,846 : 3. In what place should he start dividing?
thousands
hundreds
ones
tens
answer is ones
Amare runs 1\10 mile in 2\3 minute. What is his speed in miles per minute? Show your work
Answer:
60
Step-by-step explanation:
Solve using substitution.
X = 1
6x + y = 1
please help
Answer: (1,-5)
In other words, x = 1 and y = -5
=====================================================
Work Shown:
6x + y = 1
6(1) + y = 1
6 + y = 1
y = 1-6
y = -5
The solution as an ordered pair is (1,-5)
Notice I started with the second equation and substituted in the first equation. The idea is to somehow reduce the two variables into one variable, so you can solve for that remaining variable.
Answer:
6x+y=1
or,6×1+y=1
or,6+y=1
or,y=6-1
ans,y=5
Find the equation, in standard form, of the line parallel to y=-1/5x+7 and passing through the point (-10,-3).
Show work for brainliest!
ANSWER:
y= -1/5x - 5
Since it is parallel, that means that the slope (-1/5x) is the same.
Since it is passing through the point (-10, 3), substitute the numbers in for x and y which means: -3= -1/5*(-10) + b
b stands for the new y-intercept
do the equation, and you should get the answer above!
88888*88888 help me please
(d) Given that the fifth and the seventh terms of the G.P form the first two consecutive terms of an arithmetic sequence, calculate the sum of the first 20 terms of the sequence
Step-by-step explanation:
the answer is shown in the photo
What can you conclude about the domain and range of a relation if a verticals line at x=5 passes through 2 points? 1 point? No Points?
Answer:
i dont understand
Step-by-step explanation:
i took test
39 round to the nearest hundred
Use the long division method to find the result when 12x3 - 27x2 + 13x + 30 is
divided by 4x + 3.

Answer:
your answer will become 69.
3/4+x=2x−x+_
Make equation have infinite solutions in the blank
Answer:
3/4
Step-by-step explanation:
3/4+x=2x−x+_
2x-x is x
So the equation is now
3/4+x=x+_
So to have infinite solutions, we will have to get both of the sides the same value
Since there is already an x on both sides we don't have to worry about it
Now there isn't a 3/4 on one side so we can just add that to the blank side, thus creating an infinite solution equation
Hope this helps!
At the Shelby Ski Resort, it snowed
5 4/5 feet yesterday and 4 2/5 feet
today. How much more did it snow
yesterday than today?
Answer:
it would have snowed 1 2/5 feet more the previous day than the current day.
which system of equation does the graph represent
Someone help me pls
Answer:
248 is your answer
Step-by-step explanation:
The two angles are supplementary, therefore together they add to 360. So take 360 and subtract 112, you get 248. Hope this helps you :)
If I have 5 classes and they each take 40 minutes how many hours will it take me to do all my classes?
Answer:200 minutes or 3 hours and 20 minutes
Step-by-step explanation:
multiple 5 and 40 and you’ll get the answer 200
Answer:
200 minutes which is 3 hours and 20 minutes.
Step-by-step explanation:
FIrst you multiply 5 x 40 which equals 200
To find out how many hours there are in 200 minutes, you divide it by 60.
200 divided by 60 = 3.3...
3 hours. The remander is 20 minuites and there you have it.