(62 points) Jim makes $5 an hour at the surf shop. His boss gives him a one time bonus of $50. Sarah makes $8 an hour at the clothes store. Her boss gives her a one time bonus of $14. After how many hours will their paychecks be the same?
Answer:
12 hours
Step-by-step explanation:
So we know that Jim makes $5 an hour and was given a one time bonus of $50. Using the information given, we can make the expression:
5h + 50
to represent how much Jim makes in h hours.
Now we also know that Sarah makes $8 an hour and was given a one time bonus of $14. Using this information, we can make the expression:
8h + 14
to represent how much Sarah makes in h hours.
Now to find how many hours it will take for their paychecks to be the same, we have to set the two expressions equal to each other and solve for h:
8h + 14 = 5h + 50
Now solve for h. Subtract 5h from both sides.
3h + 14 = 50
Subtract 14 from both sides.
3h = 36
Divide both sides by 3.
h = 12
So it will take 12 hours for their paychecks to be the same.
I hope you find my answer and explanation to be helpful. Happy studying.
Gina made 9{,}350 \text{ mL}9,350 mL9, comma, 350, start text, space, m, L, end text of chicken noodle soup. She packed 1.8 \text{ L}1.8 L1, point, 8, start text, space, L, end text of the soup in her kids' lunches. She froze the rest of the soup. How many milliliters of soup did Gina have left to freeze? \text{mL}mL
Answer:
[tex]Frozen\ Soup = 7550mL[/tex]
Step-by-step explanation:
Given
[tex]Soup = 9,350mL[/tex]
[tex]Packed = 1.8L[/tex]
Required
Determine the frozen soup
This is calculated as thus:
[tex]Frozen\ Soup = 9,350mL - 1.8L[/tex]
Convert 1.8L to mL
[tex]Frozen\ Soup = 9,350mL - 1.8 * 1000mL[/tex]
[tex]Frozen\ Soup = 9,350mL - 1,800mL[/tex]
[tex]Frozen\ Soup = 7550mL[/tex]
Part of a hundredths grid is shown.
Part?of?a?hundredths?chart?with?one?empty?box.
Part A
What is the pattern for going across a row on the grid? Drag the phrases to complete the statement.
stays the sameincrease by 1increase by 10
The tenths
and the hundredths
Answer:
d b c
Step-by-step explanation:
fdfbwhgbcsjbcjbchsvbchwgchwvcdn
A line has an x-intercept of 3 and a y-intercept of -6.
The slope-intercept form of its equation is
.
Answer:
y = 2 x - 6
the second answer is
y + 6 = 2 (x - 0)
Step-by-step explanation:
Write the inverse of the function.
f(x) = x2 + 7
[tex]f(x) = {x}^{2} + 7 [/tex]
[tex]y = {x}^{2} + 7 [/tex]
Subtract the sides of the equation minus 7
[tex]y - 7 = {x}^{2} [/tex]
Take the square root of both sides of the equation
[tex]x = \sqrt{y - 7} [/tex]
So ;
[tex] {f}^{ - 1}(x) = \sqrt{x - 7} [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
A test has a mean of 80 with a standard deviation of 4. Which of the following scores is within one standard deviation of the mean?
A
75
B
77
С
BO
D
90
E
09
Answer:
B
Step-by-step explanation:
Mathematically, we shall be using the z-score here
Z-score = (x-mean)/SD
From the question, mean = 80 and SD = 4
So we want to get the option in the question that has a z-score of 1 or below
Let’s look at 75
80-75 = 5 ( this is clearly above 1 standard deviation of 4)
For 77;
80 -77 = 3
This is less than the standard deviation of 4, meaning it is within 1 standard deviation of the mean
Option B) is correct.
Step-by-step explanation:
Given :
Mean [tex](\mu)[/tex] = 80
Standard Deviation [tex](\sigma)[/tex] = 4
Calculation :
We have to find the score that would be 1 deviation from the mean. Which means, the interval [tex](\mu-\sigma, \mu+\sigma)[/tex]
[tex]\mu-\sigma = 80-4=76[/tex]
[tex]\mu+\sigma =80+4=84[/tex]
The interval is (76,84)
Therefore, option B) is correct.
For more information, refer the link given below
https://brainly.com/question/23907081?referrer=searchResults
PLEASE HELP Identify and solve the inequality that
represents how many $20 bills, n , you can withdraw from the account without
going below the minimum balance. Current amount $320.00 minimum $100.00
you can withdraw 11 times before it reaches the minimum of $100
Help me with them all
Answer:
Angles 1, 3, 5, 7, 9, 11 are going to be 100 degrees
Angles 4, 2, 8, 6, 12, 10 are going to be 80 degrees.
Step-by-step explanation:
We know when there are 2 parallel lines we have vertical angles.
HELP!!! RIGHT NOW!! Please solve the problem as soon as possible!
Answer:
The domain is continuous and the weight y of x identical hardcover books
Step-by-step explanation:
Discrete means non continuous data. This is continuous and equal so the domain is continuous.
Also, precipitation each week can vary so that won't work. Eating carrots each day can also vary so that doesn't work. The cost of an item can vary almost every day! So that is not true.
Therefore it is the last one, because it is identical and all of the coordinates make (1,3).
Hope this helps! :)
5. Average (missing value). The temperature at the top of Mt. Hood in Oregon was recorded for 5 straight days. For the first four days, the temperatures were 32°, 30°, 22°, and 10°, but a researcher lost the value of day #5. If the average temperature over the 5 days was 19.8°F, what is the missing temperature of day #5?
Answer:
5°F
Step-by-step explanation:
Given that the average is obtained from;
Average = sum of scores / number of scores
Average temperature = 19.8°F
Let the temperature of the fifth day be x
Hence;
19.8 = 32 + 30 + 22 + 10 + x/5
19.8 = 94 + x/5
x= (5×19.8) -94
x= 5°F
Kaley reads 12 1/4 pages in 1/3 hour
Twenty-seven is smaller than five times a number increased by seven.
Answer:
4
Step-by-step explanation:
4=x
5x+7 =27
27=27
:(((
75.64 rounded to the nearest 10th
Answer:
75.6
Step-by-step explanation:
75.64 rounded to the nearest 10th is 75.6.
The tenths place is 0.6, and since the next number is not larger than 5, the number is rounded to 75.6.
Answer:
75.6
Step-by-step explanation:
75.64
The 6 is in the tenths place.
Drop all digits to the right of the 6.
75.6
Since the leftmost digit you dropped is a 4, the 6 does not go up 1 to 7, so the answer is
75.6
In the data set #1 {75,95,80,65,85}, what is the range
Answer:
The range is 30
Step-by-step explanation:
The range is the biggest number which is 95 subtracted from the smallest one 65 which is 30
Helppppppppp????????
Answer:
esxrdctfvgbyhunijmkhn;bygitvcrfydxtesjtfhctryrx6
Step-by-step explanation:
Letters x, y, and z are angle measures. Which equations would guarantee that lines p and q are parallel? Check all that apply. x = z x + y = 180° x + z = 180° x = y z = 180°
The equations that would guarantee that lines p and q are parallel are;
x = z
x + y = 180°
The image showing the lines p and q as well as the angles x, y and z can be found in the link at the end of this answer.
From the image given;
We see that a transverse line cuts across the two parallel lines p and q. Thus;
We can see that x and z are corresponding angles and as such, we can say that; x = z.
Secondly, we can see that y and z are supplementary angles because they form a straight line and sum of angles that form a straight is 180°.
Thus; y + z = 180°
Since x = z, then by substitution property of equality, we can say that;
x + y = 180°
Read more at; https://brainly.com/question/13128119
Answer:
Step-by-step explanation:
A and B
HELP!! I need this now! The instructions are on the top! Thank you!
Simplify: 45÷3+2×8-12+42
Show working
Which integer is between 30 and 40 ?
A. 5
B.
6
C.
20
D.
35
Answer:
D)35. Hope it hepls
Step-by-step explanation:
because 35 is between 30 and 40
Which equation represents a linear function that has a slope of 4/5 and a y-intercept of -6?
a. y=-6x+ 4/5
b. y=4/5x-6
c. y=4/5x+6
d. y=6x+ 4/5
If LMN=XYZ, which congruences are true by CPCTC?
Answer: this is how you do it
Step-by-step explanation:
For example if you have a function f(x) = x - 1, then x = 1 is a zero of this function because using it as x gives 1 - 1 = 0. The Riemann Zeta function has some zeros that are easy to find which are of little interest but there are some other ones that are harder to find which is why the are called non-trivial.
whats the answer to 5(x−2)+3x−4= 38
Answer:
x = 6.5
Step-by-step explanation:
5(x−2)+3x−4= 38
5 times x, 5 times -2 =
5x - 10 + 3x - 4 = 38
Combine like terms
5x + 3x = 8x
8x - 10 - 4 = 38
Add 10
8x -10 +10 -4 = 38 +10 =
8x -4 = 48
Add 4
8x -4 +4 = 48 +4
8x = 52
Divide by 8
8x/8 = 52/8 =
x = 6.5
What is the solution to the inequality 5.25 – b ≥ 6.5?
Answer:
A
Step-by-step explanation: got it right on edge
Need help please!!!!
I will mark as brainliest!!!
Answer:
ΔDEF= Isosceles Triangle
ΔJKL= Scalene Triangle
ΔTRI= Equilateral or Isosceles Triangle
V = 1/3 πr^2h
Pls help
Please answer. Will mark Brainliest!!
What is the scale factor for this dilation?
find the slope... both are -4/6 right?
Answer:
yes
Step-by-step explanation:
please help pleeaasssee
Answer:
10
Step-by-step explanation:
just do 4-18 and u get the answer
X+4=11
I need the solution
Answer:
7
Step-by-step explanation:
x+4=11
- 4 . -4
x=7
Answer:
x=5
is that what u wanted?