Logan is working two summer jobs, making $18 per hour tutoring and making $10 per hour clearing tables. In a given week, he can work a maximum of 13 total hours and must earn at least $170. If xx represents the number of hours tutoring and yy represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.
Answers
Answer: he could work 7 hours tutoring and 6 hours clearing tables
Step-by-step explanation:
The system of inequalities can be used to find the number of hours Logan
can spend on each job in a week.
Response:
The system of inequalities are;
x + y ≤ 1318·x + 10·y ≥ 170A possible solution of the system of inequality obtained from the graph is the point (5, 8)
x = 5, and y = 8Methods used to solve the inequality graphicallyThe amount Logan makes per hour tutoring = $18 per hour
The amount he makes clearing tables = $10 per hour
Number of hours Logan can work in a week = 13
Amount he must earn in a week = At least $170
Number of hours he spends tutoring = x
Number of hours he spends clearing tables = y
Based on the given information, we have;
x + y ≤ 1318·x + 10·y ≥ 170Please find attached the graph of the above inequality showing the feasible region.
A possible solution obtained from the feasible region is the point of intersection of the two inequalities which is the point (5, 8), which gives;
A possible solution is x = 5, y = 8Therefore, Logan can spend 5 hours tutoring and 8 hours clearing tables in a week to work for 13 hours and make $170.
Learn more about inequalities here:
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Related Questions
what is the given amount converted to the given units 144 ft; inches
Answers
Final Answer: [tex]1728[/tex] inches
Steps/Reasons/Explanation:
Question: What is the given amount converted to the given units 144 ft; inches?
Formula to convert feet to inches: Multiply the length value by 12.
Steps: Multiply 144 by 12
[tex]144[/tex] × [tex]12[/tex] = [tex]1728[/tex] inches
~I hope I helped you :)~
3(x+1)-2x=-6
Slove this
Answers
Answer:
x = -9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
3(x + 1) - 2x = -6
Step 2: Solve for x
Distribute 3: 3x + 3 - 2x = -6Combine like terms: x + 3 = -6Isolate x: x = -9Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 3(-9 + 1) - 2(-9) = -6Add: 3(-8) - 2(-9) = -6Multiply: -24 + 18 = -6Add: -6 = -6Here we see that -6 does indeed equal -6.
∴ x = -9 is the solution to the equation.
1. A Baltimore passenger train traveled 80 miles in 1.5 hours. What was the average speed of the train? 50mph
Answers
Answer:
53.33 miles per hour
15PTS PLEASE HELP ASAP!
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look at the pic attached:
Answers
Answer:
Definition of Vertical Angles state that vertically opposite angles are equal; 1=2( vertically opposite angles are equal)
Thank you. Hop I was of help.
A truck driver is trying to decide between two jobs offers. Driving company A offers pay for $600 per week, plus $0.15 per mile driven. Driving company B offers $700 per week, plus $0.10 per mile driven. The truck diver wants to know how many miles would they need to drive in a week to be making the same amount between the 2 companies.
Answers
Answer:
$1,202
Step-by-step explanation:
There ya go
please help me, this isn't a test or quiz I just need some help.
Answers
the right is answer is B) alternate exterior
PLEASE HELP I WILL GIVE BRAINLIEST!!
Answers
Answer:
The answer to the chart is y=x-1
Will give the brainiest!!
The graph below shows a line segment XY:
HERE ARE THE MULTIPLE CHOICE ANSWERS: What is the slope of the line segment XY?
−2
− 1 over 2
1 over 2
2
Answers
- x3 + 4x2 – 3x + 12 when x = -2
Answers
Answer: 42
Explanation:
Image below
-(-2)*3+4*-2*2-3*(-2)+12=8
Hope this helps
If I’m wrong then I’m so sorry
i need help 10 points
Answers
Answer:
B
Step-by-step explanation:
x intercepts is (- 1/2,0)
y intercepts is (0,2)
What is the common ratio for this sequence? 40, 36, 32.4, 29.16 A) 1.1 B) 0.5 C) 2.2 D) 0.9
Answers
Answer:
D) 0.9
Step-by-step explanation:
The common ratio of a sequence is the amount you multiply a term by to get the next one. To find this number divide the second term by the first term, so 36/40. This will give you 0.9, to check your answer take the first term and multiply it by the common ratio a few times; you should get the exact sequence listed in the question.
A small submarine travels at a speed of 2.4 km per hour. How far will the submarine travel in 0.25 hours
Answers
Answer:
a
TRUST ME
Step-by-step explanation:
PLEASE MAKE ME BRANLIEST
Answer:
[tex]\boxed {\boxed {\sf A. \ 0.60 \ km}}[/tex]
Step-by-step explanation:
Distance (how far the submarine travelled) can be found by multiplying the speed by the time.
[tex]d=s*t[/tex]
The speed is 2.4 kilometers per hour.
The time is 0.25 hours.
[tex]s= 2.4 \ km/hr \\t= 0.25 \ hr[/tex]
Substitute the values into the formula.
[tex]d= 2.4 \ km/hr * 0.25 \ hr[/tex]
Multiply. Note that the hours (hr) will cancel each other out.
[tex]d= 0.6 \ km/hr *hr[/tex]
[tex]d= 0.6 \ km[/tex]
The submarine travelled 0.6 kilometers in 0.25 hours.
Please help me!!!!!!
Answers
Answer:
C.) y=-2/3+4
Step-by-step explanation:
You can look at the y-intercept to find the equation really quickly!
For example, the line crosses the y-axis at the value of 4, therefore, the y-intercept is 4.
The only option with a y-intercept of 4 is C
Can someone please help me
Which value is equivalent to the expression 3^(-3)? *
A.1/27
B.1/9
C.-9
D.-27
Answers
Answer:
A. 1/27
Step-by-step explanation:
Simon leaves home at 10:30am. He has return home before 6:15pm. He has to travel to work, which takes 45 minutes; he is working a four hour shift. He wants to meet some friends after work. His journey to his friends is 10 minutes and his return journey home is 42 minutes. What is the maximum amount of time he can spend with his friends?
Answers
Answer:
2 hours and 18 minutes
Step-by-step explanation:
How many of the first million positive integers share no common factors greater than 1 with 2020
Answers
9514 1404 393
Answer:
396,040
Step-by-step explanation:
Factors of 2020 are 2, 5, 101.
There are 1,000,000 / 1010 = 990 multiples of 2 and 5 and 101.
There are 1,000,000 / 505 -990 = 990 multiples of 5 and 101 only.
There are 1,000,000 / 202 -990 = 3,960 multiples of 2 and 101 only.
There are 1,000,000 / 10 - 990 = 99,010 multiples of 2 and 5 only.
There are 1,000,000 / 101 -990 -990 -3960 = 3,960 multiples of 101 only.
There are 1,000,000 / 5 -990 -990 -99,010 = 99,010 multiples of 5 only.
There are 1,000,000 / 2 -990 -3960 -99,010 = 396,040 multiples of 2 only.
So, the total number of multiples of any factor of 2020 is ...
990 +990 +3960 +99,010 +3960 +99010 +396040 = 603960
Then the number of integers in the first million that do not share any common factors greater than 1 with 2020 is ...
1,000,000 -603,960 = 396,040
What is the solution to this equation? 7x + 3 = 10x - 5.4 Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answers
Answer:
Step-by-step explanation:
7x + 3 = 10x - 5.4
Bringing like terms on one side
3 + 5.4 = 10x - 7x
8.4 = 3x
8.4/3 = x
2.8 = x
What is the value of N in the expression below
Answers
Step-by-step explanation:
please mark me as brainliest thank you
Which set of transformations would prove triangle QRS ~ triangle UTS?? Help!
Answers
Answer:
A or the first one
Step-by-step explanation:
Only answer that has dialate (which makes the triangle bigger) and the other answers have translate which just move the triangle so you can eliminate them quickly
please help me answer this ASAP if u view it then u'll see the question properly
[tex] \frac{1 + \sqrt{3} }{ \sqrt{12} } [/tex]
i will give brainliest answer if it the correct answers
Answers
Answer:
1/6 sqrt(3) + 1/2
Step-by-step explanation:
(1 + sqrt(3))
------------------
sqrt(12)
Multiply the top and bottom by sqrt(12)
(1 + sqrt(3)) * sqrt(12)
------------------
sqrt(12)*sqrt(12)
sqrt(12) + sqrt(3) * sqrt(12)
------------------
12
Simplify
sqrt(4)sqrt(3) + 6
------------------------
12
2 sqrt(3) +6
--------------------
12
1/6 sqrt(3) + 1/2
Please help me I have no idea what I am doing.
Answers
c
Step-by-step explanation:
c because if you times 8 into a that equals 10, b =6-3
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Answer: 6q + 2
Step-by-step explanation:
A patient requires a 30% decrease in the dosage of his meds. His current dose is 340 mg. What will his dosage be after the decrease?
Answers
Answer:
238 mg
Step-by-step explanation:
340 x 0.30 = 102
340 - 102 = 238
torresn06 where are you i need your help....
567*875
Answers
Answer:
The answer is 496125.
Step-by-step explanation:
Simply multiply the two numbers together to get 567*875 = 496125.
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Answer:496,125
Step-by-step explanation:
Write an equation of the line that passes through the points (0, –5) and (4, 7).
Answers
Which choice is equivalent to the quotient shown here when x > 0?
Answers
The square root of two.
The simplified expression is 3(x√2 + √x), which means that the answer is (C) x²√2.
What is an expression?In mathematics, an expression is a combination of numbers, variables, operators, and functions that can be evaluated to produce a numerical value or another mathematical object such as a polynomial, equation, or inequality.
We can simplify the given expression by factoring out the greatest perfect square factor under each square root symbol. For the first term, √18x³, we can factor out √9x², which is 3x√2. For the second term, √9x, we can factor out √9, which is 3. Thus, we have:
√18x³ + √9x = √(9x²⋅2x) + √(9⋅x) = 3x√2 + 3√x
We can then factor out 3 from both terms:
√18x³ + √9x = 3(x√2 + √x)
Therefore, the simplified expression is 3(x√2 + √x), which means that the answer is (C) x²√2.
To know more about an expression follow
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Subtract
-b + 3 from – 116 – 4
Answers
Answer:
-123-b
Step-by-step explanation:
-116-4-(b+3)
-123-b
please help!:)
simplify the complex fraction -9/10 1 3/5
Answers
Answer:
It equals -1 11/25
Step-by-step explanation:
Juan hires an electrician.
Juan pays a one-time fee of $30.
Juan also pays $45 for each hour the electrician works.
Write a function that can be used to find the total charge, c, Juan will pay when the electrician works,h, works
Answers
Answer:
c = 45h + 30
Step-by-step explanation
Hi! You know that you are trying to find the value of c, so you are going to set that as what would be your y value.
Now you know that you have to pay $30 as a fee no matter what, so you need to make sure that there is $30 attached to the equation without it being multiplied by anything.
Next, you know that it is $45 per hour, so you are going to multiply 45*h, where h is the number of hours the electrician works.
Hope this helps!
Find the missing side length. Round to the nearest TENTHS place if
necessary
Answers
Answer:
2 is your answer
Step-by-step explanation: