Kennedy is working two summer jobs, making $11 per hour babysitting and making $8 per hour clearing tables. In a given week, she can work at most 17 total hours and must earn no less than $160. If x represents the number of hours babysitting and y represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.
Answers
| x+y(less than or equal to)17
| 11x+8y(greater than or equal to)160
~
Using graphical method of Linear programing problem, the system of inequalities are x + y ≤ 17 and 11x +8y ≥ 160. The maximum value of z=145, x=8,y=14 .
What is linear programing problem?Linear programing problem is" a system of process of finding maximum or minimum value of any variables".
What is inequalities?Inequalities is statement of an order relationship, "greater than or greater than or equal to, less than or less than or equal to between two numbers or algebraic expressions" .
According to the question,
Let 'x' represents the number of hours clearing tables and 'y' represents the number of hours clearing tables.
maximum of z =11x+8y
x + y ≤ 17 → (1)
11x +8y ≥ 160 → (2)
Using graphical method, we can solve this Linear programing problem(LPP).
In inequality(1) put x=0, we get y=17 and y=0, we get x=17 therefore in equation (1) we get (17,17) draw this point on graph.
In inequality(2) put x=0 we get y=20 and put y=0 we get x=14.54 from equation(2) we get (14.54,20) draw this point on graph.
To find maximum value of z solve this equation
x + y =17 →(3)
11x +8y =160 →(4),
multiply (3) by 8 we get, 8x+8y=136 and subtract the equation (3) from the equation (4)
11x+8y=160
8x+8y=136 [multiply by(-) on both sides]
we get x=3 substitute this 'x' value in equation (3)
3+y=17
y = 14.
The maximum z = 11x+8y
z = 11(3)+8(14) [substitute (3,14)]
maximum z =145.
Hence, using graphical method of Linear programing problem, the system of inequalities are x + y ≤ 17 and 11x +8y ≥ 160. The maximum value of z=145, x=8,y=14 .
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Related Questions
Marion is driving between two towns that are close together. If she drives 1⁄5 the trip in 15 minutes, what is her rate per hour?
Answers
Answer:
4/5 in one hour
Step-by-step explanation:
15 minutes is 1/4 of an hour so all you need to do is multiply one 1/5 by four
tell me if im wrong plz
Answer:
4/5 in one hour
Step-by-step explanation:
Can someone please help me
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Answer:
12:15
3 goes into both of these numbers so then becomes
4:5
cannot be reduced any further
answer
4:5
write an inequality for the following, more than 2,500 people can attend the convention
Answers
Answer:
a
Step-by-step explanation:
Damian’s father purchases 8 notebooks for school. The total amount for the notebooks is $31.68.
How much does each notebook cost individually
Answers
Answer:
Each notebook costs $3.96 each.
3168 divided by 8 = 396
move the decimal two places left.
Step-by-step explanation:
May I have brainiest I'm trying to level up!
</3 PureBeauty
Answer:
Each notebook costs $3.96
Step-by-step explanation:
We assume each notebook costs the same amount, the total cost is $31.68, and that is for 8 notebooks. So, we divide 31.68 by 8 and get our answer of $3.96 per notebook.
I hope this helps:)
what is the solution to the inequality 1/4(3x-6) >2(7-x +1
Answers
Answer:
x>70/11
Step-by-step explanation:
Identify the term(s), coefficient(s), and constant(s) in the expression 9+4x^2+x/3.
Answers
Answer:
Terms: x3, 4x2, 9. Coefficients: 1, 4. Constants: 9.
Step-by-step explanation:
Answer:
Terms: addition, division, multiplication
Constants: 9 and 2
Coefficients: 4 and 3
I think these are the right answers, I am so sorry if they are wrong!!
The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let
x represent the number of new releases, and let y represent the number of classics. If the librarian had a budget of
$500 and wanted to purchase as many DVDs as possible, which values of x and y could represent the number of
new-release and classic movies bought?
O x = 8, y = 45
O x = 10, y = 22
O x= 16, y = 22
O x = 18, y = 18
Answers
Answer:
Step-by-step explanation:
he is right i got a 100 in the test
The number of new-release movies on DVD is 16 and the number of classic movies on DVD is 22 option third x= 16, y = 22 is correct.
What is 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.
We have:
New-release movies on DVD for $20 and classic movies on DVD for $8
x - the number of new releases,
y - he number of classics.
20x + 8y = 500
or
5x + 2y = 125
Using trial and error method:
Plug x = 16 and y = 22
5(16) + 2(22) = 125
= 80 + 44
= 124
Nearest to 125
Thus, the number of new-release movies on DVD is 16 and the number of classic movies on DVD is 22 option third x= 16, y = 22 is correct.
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3 pens cost $2.70.
What is the cost per pen?
Answers
Answer:
$0.90
Step-by-step explanation:
Answer:
$0.90
Step-by-step explanation:
Assuming there are no taxes or additional costs, one simply has to divide the total cost by the amount purchased to find the unit price, hence;
2.7 / 3
= 0.9
Please help quickly, if someone answers quickly I'll give them Brainly.
Simonne predicted that she would sell 99 picture frames. She actually sold 88 picture frames. What are the values of 'a' and 'b'? Round round to the nearest tenth if necessary.
Item-
Picture frames
Approximate value-
99
Exact value-
88
Error-
Blank
Absolute error-
Blank
Ratio-
a
percent error-
b
Possible answers:
1. a= 11/99; b= 11.1%
2. a= 11/88; b= 12.5%
3. a= 88/99; b= 88/99%
4. a= 11/11; b= 100%
Answers
Step-by-step explanation:
Ratio
= Difference between Prediction and Actual / Prediction
= (99 - 88)/99 = 11/99.
Percentage Error
= Difference between Prediction and Actual * 100%
= (99 - 88) * 100% = 11.1%. (1)
The ratio (a) & percent error (b) will be option A which is a=11/99 and b= 11.11% respectively
Ratio and Percent errorRatio can be defined as difference between approximate value and exact value divided by approximate value.Percent error is ratio multiplied by 100How to solve this problem?Given
Approximate value = 99 frames
Exact value = 88 frames
Ratio (a) = (Approximate value - Exact value) / Approximate value∴ Ratio (a) = (99-88)/99
∴ a = 11/99
Ratio (a) x 100∴ Percent error (b) = (11/99) x 100
∴ b = 11.11%
So, the answer of ratio (a) & percent error (b) will be 11/99 and 11.11% respectively
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SUP= 125 UPE=110 SRE=85 find SUR
Answers
Answer:
m∠SUR = 15°
Step-by-step explanation:
m∠UPE = 110°
m∠UPR = m∠EPR [Given]
m∠UPR = [tex]\frac{1}{2}(m\angle UPE)[/tex]
= [tex]\frac{1}{2}(110)[/tex]
= 55°
Since, m∠SRU = m∠UPR [Given in the picture]
m∠SRU = 55°
m∠SRE = m∠SRU + m∠URP + m∠PRE
85° = 55° + m∠URP + m∠PRE
m∠URP + m∠PRE = 30°
Since, m∠URP = m∠PRE
m∠URP + m∠URP = 30°
m∠URP = 15°
Since, m∠URP = m∠SUR [Given in he picture]
m∠SUR = 15°
Which of the following must be true for the parallelogram shown below?
Answers
Answer:
We conclude that:
Option D i.e. m∠DAB = m∠BCD is correct option.
Step-by-step explanation:
We know that a Parallelogram is a quadrilateral with two pairs of parallel sides.
We also know that the opposite angles of a parallelogram are equal.
Given
m∠DABm∠BCDFrom the figure:
It is clear that m∠DAB is the opposite angle of m∠BCD.
Thus,
m∠DAB = m∠BCD ∵ opposite angles of a parallelogram are equal.
Therefore, we conclude that:
Option D i.e. m∠DAB = m∠BCD is correct option.
What percent of 40 is22 ?
Answers
Answer: 181.82
Explanation:
Step 1: We make the assumption that 22 is 100% since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100%=22.
Step 4: In the same vein, x%=40.
Step 5: This gives us a pair of simple equations:
100%=22(1).
x%=40(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the left hand side of both equations have the same unit (%); we have
100 percent/X percent = 22/40
Step 7: Taking the inverse (or reciprocal) of both sides yields
100 percent/X percent = 40/22
X = 181.82%
Therefore, 40 is 181.82% of 22.
Hope this helps^-^.
A car is moving at a rate of 35 miles per hour, and the diameter of its wheels is 2.5 feet. (Round 1 decimal place).
A.) Find the number of revolutions per minute that the wheels are rotating.
B.) Find the angular speed of the wheels in radians per minute.
Answers
PLEASE HELP WITH THIS I NEED TO PASS
Answers
Answer:
x = 0.1875
Step-by-step explanation:
first, you group up all of the same numbers or letters. (2x +2x)
then you solve the problem:
2x ^2 = 2x - 3
4x^2 = -3
16x = 3
16 16
x = 0.1875
Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 2 kg more than Peter. Together the three of them picked 26 kg of chestnuts. How many kilograms did each of them pick?
Answers
Answer and Step-by-step explanation: Let \displaystyle xx be the amount Peter picked. Then Mary and Lucy picked \displaystyle 2x2x and \displaystyle x+2x+2, respectively. So
\displaystyle x+2x+x+2=26x+2x+x+2=26
\displaystyle 4x=244x=24
\displaystyle x=6x=6
Therefore, Peter, Mary, and Lucy picked 6, 12, and 8 kg, respectively.
Peter picked 6 kilograms of chestnuts.
Mary picked 12 kilograms of chestnuts.
Lucy picked 8 kilograms of chestnuts.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Let Peter pick x kilograms of chestnuts.
Given that Mary picked twice as many chestnuts as Peter
So, Mary picks 2x kilograms of chestnuts.
And Lucy picks x + 2 kilograms of chestnuts
Together the three of them picked 26 kg of chestnuts
So, x + 2x + x + 2 = 26
4x + 2= 26
4x= 26-2
4x= 24
4x/4= 24/4
x= 6
Thus, Peter picked 6 kilograms of chestnuts.
⇒ 2x
⇒ 2 (6)
⇒ 12
Thus, Mary picked 12 kilograms of chestnuts.
⇒ x + 2
⇒ 6 + 2
⇒ 8
Thus, Lucy picked 8 kilograms of chestnuts.
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Which of the following fractions is the largest 2/3 1/2
Answers
Answer: 2/3
Step-by-step explanation:
2/3 = 4/61/2 = 3/64/6 is greater than 3/6carlos put a total of 1/8 lb of gravel into 6 fishtanks he put the same amount of gravel into each tank how many pounds of gravel did carlos put into each fish tank
Answers
Answer:
(1/8) / 6 =
1/8 * 1/6 =
1/48 of a lb per fish tank <==
plz give brainlest
Step-by-step explanation:
2^5/4 = 2^5/2^a= 2^b = c
What is
a=
b=
c=
Answers
The amount Alex eamed last week can be modeled by the expression 25 + 5n 295, where is the number of items he sold. Which number line shows how many items he could have sold last week?
10 11 12 13 14 15 16 17 18 19 20
10 11 12 13 14 15 16 17 18 19 20
+
19 20 21 22 23 24 25 26 27 28 29
19 20 21 22 23 24 25 26 27 28 29
Answers
Answer:
Step-by-step explanation:
Need help #2. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.
Answers
Answer:
please refer to the above attachment
(D) is the right answer.The cell phone plan used by Samantha charges her $0.40 per minute in addition to a $30 monthly fee. In January, she spoke for 100 minutes and
was charged $70. How much is she charged for February, when she spoke for 200 minutes?
A
$80
B
$100
$110
$140
Answers
Explanation: .40*200=80 80+30=110
If a tires k=0.85, what does this tell you about the tire installed on the car as opposed to the factory-installed tire?
A) The tire on the car is smaller than factory installed tire.
B) The tire on the car is the same as the factory installed tire.
C) The tire on the car is larger than the factory installed tire
D) The k value tells us nothing about the tire on the car.
Answers
Answer: since I don’t understand this question I’m choosing D
Step-by-step explanation:
Solve each of the following equations.
(4b + 11)(3b - 7) = 0
Answers
Answer:
4b = 4(11/4)
3b = 3(7/3)
Urgent help need it plz
Answers
Answer:
angle 1 = 51
angle 2 = 34
angle 3 = 95
angle 4 = 38
angle 5 = 47
angle 6 = 74
angle 7 = 59
Step-by-step explanation:
a straight line is 180 degree, so to find angle 1, subtract 129 by 180.
angle 2 is found by adding angle 1 and 95 then subtract that by 180.
angle 3 and 95 are opposite angles, so they are the same
for angle 4, add angle three and 47 then subtract that by 180
angle 5 is 47, they are opposite
angle 7, subtract 121 by 180
angle 6, you add angle 5 and 7, and subtract that by 180
?????????????????????
Answers
Answer:
f(9) = 61
Step-by-step explanation:
You know f(x) = 8x - 11. So, to find f(9), you have to replace x with 9 on the other side.
f(9) = 8(9) - 11
You can solve this.
f(9) = 72 - 11
f(9) = 61
SOMEONE PLS HELP!! QUICKLY!!
Answers
9514 1404 393
Answer:
x = 2
NK = 16
Step-by-step explanation:
The Pythagorean theorem can be used to find LN:
LN² +LC² = NC²
LN² = NC² -LC² = 65^2 -63^2 = 256
LN = √256 = 16
LN = NK = 16 . . . . each of NM, LN, NK is the inradius, so they are congruent
__
LN = NM = 8x = 16
x = 2
Lol I need help agin
Answers
Step-by-step explanation:
7
b²=√218²-13²
=218-169
=49
=√49
=7
In the diagram below, AB is parallel to CD. What is the value of x?
B
459
A. 30
B. 45
C. 60
D. 135
Answers
Answer:
Could you show the diagram?
Find the x and y intercept of y = 5x - 2. Random answers will be reported. Who ever answers right first will be marked brainlest.
Answers
Answer: x intercept is 2/5, and y intercept is -2
Step-by-step explanation:
Bascially when your solving for x intercept, substitute 0 for y, then for this equation u get 0=5x-2, which is equal to 5x=2, so the x intercept is 2/5. You do the same thing for y intercept, so substitute 0 for x this time, then you'd get y=-2.
Help please extra points
Answers
Answer:
The answer to the question provided is letter c.