You can work a total of no more than 10 hours each week at your two jobs. Housecleaning pays $7.50 per hour that you clean and your retail job pays $10.00 an hour. You need to earn at least $56 each week to pay your bills. Write a system of inequalities that shows the various numbers of hours that you can work at each job and still pay your bills.
Answers
Answer:
[tex]c + r \leq 10[/tex]
[tex]7.5c + 10r \geq 56[/tex]
Step-by-step explanation:
Given
Hours = not more than 10
Earnings = At least 56
Required
Represent this as a system of inequalities
Let c represents the cleaning job
Let r represents the retail job
The number of hours
Not more than means [tex]\leq 10[/tex]
So:
[tex]c + r \leq 10[/tex]
Earnings
c = 7.50 per hour
r = 10 per hour
Earnings = At least 56
At least 56 means [tex]\geq 56[/tex]
So;
[tex]7.5c + 10r \geq 56[/tex]
Hence, the system is:
[tex]c + r \leq 10[/tex]
[tex]7.5c + 10r \geq 56[/tex]
Related Questions
Solve as a difference equation.
After caffeine is absorbed into the body, 1% is eliminated from the body each hour. Assume a person drinks an 8-oz cup of brewed coffee
containing 130 mg of caffeine, and the caffeine is absorbed immediately into the body. Find the difference equation for Yn, the amount of caffeine in
the body after n hours. Solve the difference equation. After how many hours will 65 mg (one-half the original amount) remain in the body? How
much caffeine will be in the body 24 hours after the person drank the coffee?
Answers
Solution :
Let y = amount of caffeine at a given time in body.
n = number of hours
So [tex]$\frac{dy}{dn}= - \ Y$[/tex]
[tex]$\Rightarrow \frac{dY}{Y}=- 0.01 \ dn[/tex]
ln Y = -0.01 n + C
At n = 0, Y = 130 mg
ln 130 = -0.01 x 0 + C
C = ln 130
[tex]$ \ln \frac{Y}{130} =- 0.01 \ n$[/tex]
[tex]$Y = 130 \ e^{-0.01n}$[/tex]
When Y = 65
[tex]$65 = 130 \ e^{-0.01 n }$[/tex]
[tex]$\frac{65}{130}=e^{-0.01n}$[/tex]
[tex]$\ln \frac{1}{2} = -0.01 \ n$[/tex]
n = 69.315 hours
At n = 24 hours
[tex]$Y = 130 \ e^{-0.01 \times 24}$[/tex]
Y = 102.26 mg
can you help me please
Answers
the reason for this is because they could ship goods across the water and make more money off of the goods that way because traveling by boat takes less time then traveling by land
Number of putter
3. How many 80 sheets notebook can a company make using 6080 sheets?
Total number of
Answers
76
Step-by-step explanation:
just divide 6080 by 80 and you get 76
A store sells shirts at a price of 2 for $5.00. At this price, how much do 7 shirts cost?
Answers
Answer:
$17.50
Step-by-step explanation:
2 goes into 7 3 times, and 5 times 3 is $15.00, so theres one shirt left. If 2 shirts cost $5, one will cost $2.50. So, 15+2.50= $17.50
Timed!! Answer hurry!
Answers
i need help please!! its math !
Answers
Answer:
perimeter = 2(8x+3) + 2(5) area= (8x+3) • 5
Step-by-step explanation:
perimeter = 2(length) + 2(width)
if length equals (8x+3) and width equals 5 then you would just plug those numbers into the equation which gives you...
perimeter = 2(8x+3) + 2(5)
area = length • width
like i previously said above if length equals (8x+3) and width equals 5 than you would just plug those numbers into the equation which gives you...
area = (8x+3) • 5
Hellllllllppppppppppppppppppppppp
Answers
Answer:
All of the degrees add up to 90. Therefore, right angle.
A pair of jeans that originally costs $42 is 25% off. What is the sale price?
Answers
Answer:
$31.50
Step-by-step explanation:
42 x 0.25 = 10.5
42 - 10.50 = 31.50
$31.50
Explanation:
42 × 25% = 10.5
42 - 10.5 = 31.5
Helppppppppppppppppppppp
Answers
Answer:
true
Step-by-step explanation:
Martina spent $24 on fruit at the grocery store. She spent a total of $80 at the store. What percentage of the total did she spend on fruit?
Answers
Answer: 30%
Step-by-step explanation:
She spent $24 dollars out of the total money she had which was $80. The 24 represents the portion of the money that was spent on fruits. So therefore to find the percentage for put the portion used ($24) divided by the the total ($80) multiplied by a hundred to get the 30%.
please answer this :(
Answers
Answer:
X+2 metres. Just use a^+2ab+b^2
1,232 divided by 8 =?
Show your work!
Answers
Answer:
154
Step-by-step explanation:
just divide 1232 and 8
(long division)
answer this correctly please
Answers
Answer:
8x-25
Step-by-step explanation:
Last month, Sheldon earned $12.80 in interest on a $320 deposit into his bank account. If the interest earned is directly proportional to the amount deposited, how much interest can Sheldon expect next month if he deposits $830?
Answers
Answer:
$487.20
The answer is $487.20 if he expects to deposits $830.
Which of the following is a better buy?
7 tickets for $22.75
10 tickets for $31.50
Answers
Answer:
10 tickets for $31.50
Step-by-step explanation:
So If we divide 22.75 by 7 it gives you 3 dollars and 25 cents per ticket
If you divide 31.50 by 10 it gives you 3 dollars and 15 cents.
So In conclusion 10 tickets for $31.50 dollars is the better buy
Answer:
10 Tickets Is The Better Deal
Step-by-step explanation:
So What You Do Is You Will Divide 22.75 By 7
You Will Get 3.25! That Means Its 3.25 Each For 7 Tickets
For The Next One You Do The Same Thing
You Want To Divide 31.50 By 10
You Will Get 3.15! That Means Its 3.15 Each For 10 Tickets
So 3.15 Is 10 Cheaper Than 3.25 So Getting 10 Tickets Is A Better Deal
Hope This Help
DOH! My Brain Hurts
Can someone check if my friend did it right?
Answers
Answer:
3 mi : 5 mi or 3 mi/5 mi
Step-by-step explanation:
Answer: it’s 3/5 (fraction form)
Hope this helps :)
Step-by-step explanation:
Put the first number on top and the second on the bottom, then simplify them.
What number can you divide both 4 and 2 by?
Answers
Answer:
Well, an infinite amount of numbers. . .
Step-by-step explanation:
1 and 2 would work
You are going to attend night classes for 4 months. You have to earn an additional $987 for tuition within this time. You decide to take a second job that pays $9 dollars an hour. You can work as many hours for this job as you like. Taxes are 12% of your earnings, and you are able to save the rest. Over these 4 months, what is the minimum number of hours you will need to work in order to save enough money for your tuition alone? Round your answer to the nearest hour.
Answers
Answer:
10.80
Step-by-step explanation:
12% of $9 dollars is $1.08 rounded is 1.080
btw if this was a real job id quit even though im in 6th
The minimum number of hours you will need to work in order to save enough money for your tuition alone is 125 hours.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
You are going to attend night classes for 4 months. You have to earn an additional $987 for tuition within this time.
You decide to take a second job that pays $9 dollars an hour.
Taxes are 12% of your earnings, and you are able to save the rest.
Let x be the minimum number of hours you will need to work in order to save enough money for your tuition alone.
From the data given, we can frame a linear equation in one variable.
987 = 9x - 12% of 9x
987 = 9x - (0.12)(9)x
987 = 9x - 1.08x
7.92x = 987
x = 987/7.92
x = 124.62 ≈ 125 hours
Thus, the minimum number of hours you will need to work in order to save enough money for your tuition alone is 125 hours.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
What are the zeros of the function
Answers
Answer:
(1,0)
Step-by-step explanation:
A.K.A the y and x intercepts you might need to do a little more math you get the y intercept tho
1 is what percent of 4?
A. 23%
B. 24%
C. 25%
D. 30%
Answers
Answer:
C: 25%
Step-by-step explanation:
1/4 = 0.25 = 25%
I hope this helped and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!
Answer:
C
Step-by-step explanation:
1 divided by 4 is .25, move the decimal over two points and you get 25%.
PLEASE HELP. WILL MARK BRAINLIEST. !!50 points!!
Triangle A"B"C" is formed using the translation (x +0, y+ 2) and the dilation by a scale factor of 2 from the origin. Which equation explains the relationship between line
AC and line A"C"?
A. Line AC
——————- = 2
A"C"
B. Line A" C" 1
————— = —
AC 2
C. Line A"C"
Line AC = —————-
2
D. Line AC
Line A"C" = —————
2
Answers
Answer: i dont understand the question can you please elaborate
Step-by-step explanation:
WILL GIVE BRAIANLEST PLZZZZ HELP MEEE 50 POINTS
Elevator 1 in an office building moved from ground position to a final position of +12 feet. Elevator 2 in the same building moved from ground to a final position of −15 feet. Which statement best describes the final positions of these two elevators? (5 points)
Question 4 options:
1)
Elevator 1 is 12 feet above ground level, and Elevator 2 is 15 feet below the position of Elevator 1.
2)
Elevator 1 is 12 feet below ground level, and Elevator 2 is 15 feet above the position of Elevator 1.
3)
Elevator 1 is 12 feet above ground level, and Elevator 2 is 15 feet below ground level.
4)
Elevator 1 is 12 feet below ground level, and Elevator 2 is 15 feet above ground level.
Answers
Answer: The answer would be option 3
Step-by-step explanation:
Calculate the amount of simple interest earned
$1,000 at 4% for 4 years
Answers
Answer:
$160
Step-by-step explanation:
A = $1,160.00
I = A - P = $160.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year.
Solving our equation:
A = 1000(1 + (0.04 × 4)) = 1160
A = $1,160.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,000.00 at a rate of 4% per year for 4 years is $1,160.00.
!!!HELP !!! Plis
The blue dot is at what value on the number line?
Answers
Answer:
-6
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
if you count from -3, itll be at -6.
John travels 54 miles each day of his 5 day journey to Disney land. What is the distance from John’s house to Disney land? PLZZ
Answers
Michael went to the grocery store and bought bottles of soda and bottles of juice.
Each bottle of soda has 40 grams of sugar and each bottle of juice has 20 grams of
sugar. Michael purchased a total of 11 bottles of juice and soda which collectively
contain 300 grams of sugar. Write a system of equations that could be used to
determine the number of bottles of soda purchased and the number of bottles of juice
purchased. Define the variables that you use to write the system.
Answers
Answer:
2+2929?
Step-by-step explanation:
answer= 2 + 29 = 31, then multiply it by 1= then, you still have it, then add another 29, then theres ur answer
I will be giving 10 points please answer!!
Answers
Answer:
C and D
Step-by-step explanation:
I think it's C and D
You can't be certain that the coefficient of s is 3.
The entire thing is not a sum because there's fractions in the equation.
explanation:
2 cm on a map is equal to 3 km in real life. If two points are 8 cm apart on the map, how far apart are they in real life?
Answers
Answer:
12km in real life.
Step-by-step explanation:
Please mark brainliest.
Find the measures of the exterior angle.
Answers
Answer:126
Step-by-step explanation:
What is - 9 + 3 = I know its -6 but how
Answers
Answer:
You count something
Step-by-step explanation:
If you imagine 9 slots that are empty and you fill 3 of them then there is 6 empty slots so -6