Given :
A college cafeteria pays student cashiers $540 per hour. Cashiers earn an additional $110 per hour for each hour worked over 35 hours per week.
To Find :
A cashier worked 39 hours one week and 37 hours the second week.
Show and explain to the cashier how her salary calculated in this two-week period.
Solution :
Week 1 :
For first 35 hours he will get fixed amount i.e $540.
Now, for next four hours he will get $110 per hour.
So, total salary, T = 540 + (110×(39 - 35)
T = $980
Week 2 :
Total salary, T = 540 + ( 110×( 37 - 35 ))
T = $760
Therefore, salary of two week period is $( 980 + 760 ) = $1740.
plsss help mehhh...
Step-by-step explanation:
(2, m) => (n, 5) => (10, 2)
We have 2n = 2 + 10 and 2(5) = m + 2
Hence n = 6 and m = 8.
A biologist recorded a count of 348 bacteria present in a culture after 5 minutes and 1088 bacteria present after 20 minutes. To the nearest whole number, what was the initial population ?
Answer:
The initial bacteria population is 238
Step-by-step explanation:
Let us have the increase as an exponential equation
P(t) = I(1 + r)^t
where P(t) is the count at a particular time
r is the percentage increase
I is the initial population
t is the time
So for 5 minutes, we have
348 = I(1 + r)^5
For 20 minutes
1088 = I(1 + r)^20
Divide the second equation by the first
1088/348 = I(1 + r)^20/I(1 + r)^5
3.13 = (1 + r)^15
Take the ln of both sides
ln 3.13 = 15 ln (1 + r)
ln 3.13/15 = ln (1 + r)
0.0761 = ln (1 + r)
1 + r = e^0.0761
1 + r = 1.079
r = 1.079-1
r = 0.079 which is 7.9%
So per minute. we have an increase of 7.9%
So let’s get I by substituting
From;
348 = I(1 + 0.079)^5
348/1.079^5 = I
I = 237.9 which is 238 to the nearest whole number
Number of Tickets, X 2 5 10 13 Cost, y $8.50 $21.25 $42.50 $55.25
Answer:
4.25
Step-by-step explanation:
Take your cost and divide it by the number of tickets.
55.25/13 = 4.25
21.25/5 = 4.25
No matter which pair you use, the answer is 4.25
1) back at basketball practice, Haley's coach is impressed with the improvement in her scoring ability over the past month. She went from scoring 12 points per game last month to scoring 18 points per game this month. He exclaims, "Haley, you have made a 100% improvement in your average points per game!"
a. If Haley increased her average points per game by 100%, how many points per game would she be scoring this month?
b. If she had increased her average points per game by 25%, how many points would she be scoring this month?
d. What portion of her points per game for last month does that increase represent? By what percent did Haley improve her average points per game?
P.S I did c
Answer:
A: It would be 24 points per game.
B: It would be 15 points per game
C: 33.33%
Step-by-step explanation:
A explanation:
100% of 12 is 24
12 + 12 = 24
B explanation:
25% of 12 = 3
12 + 3 = 15
C explanation:
12/18 = 66.66%
100 - 66.66 = 33.33%
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a) Divide the numbers 1 to 8 by 9. Observe the decimals and di
observation of non-terminating recurring decimals.
b) Divide the numbers 1 to 10 by 11 and discuss your observat
terminating recurring decimals so obtained.
:) Write any four rational numbers having the denominator 2
2, then express them in decimals. Are the decimals always te
Write the remarks of your investigation.
Write any two rational numbers having the denominator 5 or
Express them in decimals. Are the decimals always terminatin
remarks of your investigation.
Write any two rational numbers having the denominator 10 or
Express them in decimals. Are the decimals always terminati
remarks of your investigation.
The decimals of rational numbers with denominators 3 or mu
numerator is not the multiple denominator, are always non- terminating recurring. Verify it by four examples.
Answer:
12345678/9
= 1.371746...
12345678910/11
=1.12233446......
other i dont know
solve for m
m-2.02= -0.58
PLZ HELP ME PLZzzz FIRST PERSON TO ANSWER WILL BE THE BRAINLIEST
(x power2/y) power 3
Answer:
the answer is x power 6/y power 3
Answer:
[tex]x^{\frac{6}{y} }[/tex]
Step-by-step explanation:
[tex]x^{\frac{2}{y} * 3}[/tex]
ASAP
options:
left
right
up
down
HELP NOW PLEASE ASAP!!
Answer:
The answer is D, your welcome
Answer:
The 2nd answer is correct.
Step-by-step explanation:
Between x = - 4 and x = - 1 the function is represented by a straight line (and is therefore lineair). Moreover, the value of y increases when moving to the right (and therefore the function is increasing).
Which is the graph of the equation y - 1 = 2/3 (x - 3)?
Answer:
Hope it help u
Step-by-step explanation:
Write as a mixed number.
4/3
Answer:
1 1/3
Step-by-step explanation:
hope this helps!! : D
1 1/3 sorry if this is wrong!
What is the slope of this line?
Answer:
1
Step-by-step explanation:
you can do rise over run or y over x = y/x
1/1
slope is 1
hope this helped!
Jose has 4 5/6 pounds of chicken, 3 1/3 pounds of steaks and 5 5/6 pounds of hamburgers to put on the grill. How many pounds of meat does he have for the barbecue
Answer:
14 pounds of meat
Step-by-step explanation:
Jose has 4 5/6 pounds of chicken, 3 1/3 pounds of steaks and 5 5/6 pounds of hamburgers to put on the grill. How many pounds of meat does he have for the barbecue
We have to find the sum of the the total pounds of meat.
This is calculated as:
4 5/6 pounds + 3 1/3 pounds + 5 5/6 pounds
[(4 + 3 + 5) + (5/6 + 1/3 + 5/6)] pounds
The Lowest Common Denominator
= 6
Hence:
[12 + (5 + 2 + 5 /6)] pounds
= 12 + 12/6
= 12 + 2
= 14 pounds of meat
Hence, Jose has 14 pounds of meat
PLEASE ANSWER TODAY ASAP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER.
Kelli and Karl each have a job. Kelli earns $20 an hour. She also receives a $100 weekly bonus.
Kelli made a table to show how much she earns in a given week.
Hours 0 5 10 15 20 25 30 35 40
Weekly Earnings 100 200 300 400 500 600 700 800 900
Karl earns $25 an hour and receives a $50 weekly bonus.
Karl made a graph to show how much he earns per hour in a given week.
How many hours will it take Kelli and Karl to earn the same amount of money?
Enter your answer in the box.
____hours
Answer:
I'm think it is 40hours (or 1 1/2 days)
Write the equation in standard
form of the line that has
x-intercept 6 and y-intercept -2.
Answer:
x - 3y = 6
Step-by-step explanation:
Equation of the line in intercept form
The intercept form of the equation of a line is:
[tex]\displaystyle \frac{x}{a}+\frac{y}{b}=1[/tex]
Where:
a = x-intercept
b = y-intercept
The standard form of a line is:
Ax + By = C
The given line has a=6 and b=-2, thus:
[tex]\displaystyle \frac{x}{6}+\frac{y}{-2}=1[/tex]
Multiplying by 6:
x - 3y = 6
This is the required standard form of the line.
Thus, the standard form of the line is:
x - 3y = 6
Solve this please and explain how you do it thank you
Answer:
Step-by-step explanation:
7x=14
X=2
For a field trip, a highschool want to buy T-shirts and sweatshirts. The expression px + 29y repersents the cost of buying x T-shirts and y sweatshirts from the store. If each sweatshirt cost $17 more than a T-shirt what is the value of p ?
Answer:
The value of p is $12.
Step-by-step explanation:
Given;
c = px + 29y ,,,,,,,,,,,,,,,,,,, (1)
Where;
c = cost of buying x T-shirts and y sweatshirts from the store
p = price of one or each T-shirt = ?
x = number of T-shirts bought
29 = price of one or each sweatshirt
y = number of sweatshirt bought
Based on the above breakdown, if each sweatshirt cost $17 more than a T-shirt, the value of p can be calculated as follows:
29 = p + 17
p = 29 - 17
p = 12
Therefore, the value of p is $12.
Additional note:
Note that this is not part of the question but it is just an example to make you understand the question better.
If we assume that 10 T-shirts and 10 sweatshirts are bought from the store, we can use equation (1) above to calculate the cost as follows:
Where;
c = cost of buying x T-shirts and y sweatshirts from the store = ?
p = price of one or each T-shirt = 12
x = number of T-shirts bought = 10
29 = price of one or each sweatshirt
y = number of sweatshirt bought = 10
Substituting the values into equation (1), we have:
c = (12 * 10) + (29 * 10)
c = 120 + 290
c = 410
Therefore, the cost of of buying 10 T-shirts and 10 sweatshirts from the store will be $410.
Diego measured the number of cups of water in 15 bottles of various sizes. He made this line plot to show how many of each size he has. Diego then took all the bottles of the most common size and poured the water into a container. How much water is in the container?
Answer:
A plot would be very useful to solve the question.
Step-by-step explanation:
Answer:
8-3/4 cups
Step-by-step explanation:
Referring to the line plot the most common size is 1-3/4 cups. Since there are 5 of them we multiply by the value 1.75 (the equivalent of 1-3/4).
5 x 1.75 = 8.75 cups, or 8-3/4 cups
HURRY I NEED THE ANSWER !!!!!!
Which equation corresponds to the graph shown?
I don’t know how to write this out and I’m to lazy to figure out how
Step-by-step explanation:
There is a technical glitch due to which the answer is not being submitted here. Thus, I am attaching the sloution via attaching a file.
Please check the explanation in the attached file.Which expression is equivalent to (3/x-2) -5 divided by 2-(4/x-2) ?
a. 2x-8/13-5x
b. -5x-8/2x-8
c. -5x-4/x-2
d. 13-5x/2x-8
Answer: I it’s D
Step-by-step explanation:I did the assignment
solve the inequality −8 ≤ z + 6.4
Answer:
-14.4<or=z
Step-by-step explanation:
-8-6.4or = z+6.4-6.4
-14.4_<z
Given f(x) = 5(2 - x), what is the value of f(-3) ?
Answer:
25
Step-by-step explanation:
Kayla won 37 super bouncy balls
playing hoops at her school's game night
Later, she gave two to each
of her friends. She only has 7
remaining. How many friends does she have?
Answer:
15 friends
Step-by-step explanation:
37 - 7=30 so then you divide 30 by 2 which equals 15 so there is your answer.
Britney graphs to point 6, 3 on accordant grid which describes way she should plot the point is she starts at the origin
The dot plot shows the number of raffle tickets bought by each person.
Number of Raffle Tickets Bought
A dot plot going from 0 to 5. 0 has 4 dots, 1 has 0 dots, 2 has 4 dots, 3 has 6 dots, 4 has 3 dots, 5 has 5 dots.
Where is the peak of the dot plot?
1
3
5
6
Answer:it’s B aka 3
Step-by-step explanation:
Answer:
3 AKA B
Step-by-step explanation:
if you look at it 3 is the highest peak
5.1 is 102% of what number?
Answer:
it is 5
Step-by-step explanation:
102% x 5 =5.1
if you times each answer with you percentage you get the answer
Using the principle of percentage approximation, the value of the number, n is 5
Let the number = n
We then write the expression thus :
(102/100) × n = 5.1
1.02n = 5.1
n = 5.1 / 1.02
n = 5
Therefore, the number, n in which 102% gives a value of 5.1 is 5
Learn more :https://brainly.com/question/19802693
Which equation describes how the parent function, y = x°, is vertically stretched by a factor of 4?
A: y=x^3+ 4
B: y-(x+4)^3
C: y-4x^3
D: y=x^4
In a right triangle the length of a hypotinuse is c and the length of the other leg is a. Find the length of the other leg b, if: c=5, a=3
Answer:
b = 4
Step-by-step explanation:
a^2 + b^2 = c^2
a = 3
b = b
c = 5
a^2 + b^2 = c^2
(3)^2 + b^2 = (5)^2
9 + b^2 = 25
b^2 = 25 - 9
b^2 = 16
√b^2 = √16
b = 4
Find m∠1. Then classify the triangle by its angles.
Answer:
110 degrees
scalene triangle
Step-by-step explanation:
Answer:
m<1 = 110°
obtuse triangle
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180° two of the angles are given as 40 and 30 so the third angle is 110° and since one of the angle's measure is larger than 90° we call this triangle obtuse.