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I need help please!!!!
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In a group of five students who took the same test, four of the scores were 85, 92, 81, and 95. If the average of the five students was 89, what was the score of the fifth student?
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Answer:
92
Step-by-step explanation:
89 x 5 = 445
85 + 92 + 81 + 95 = 353
445 - 353 = 92
The score of the fifth student is 92.
What is an average?An average is a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list.
Now it is given that,
Average of the five students = 89
Scores of four students = 85, 92, 81, and 95
Number of students = 5
Let the score of fifth student be x.
⇒Average of the five students = scores of five students/Number of students
∵scores of five students =Scores of four students + score of fifth student
∴scores of five students = 85+92+81+95+x
⇒scores of five students = 353+x
∴Average of the five students = (353+x)/5
⇒89 = (353+x)/5
or, 445 = 353+x
or, x = 445 - 353
⇒ x = 92
Hence, the score of the fifth student is 92
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A store plans to sell two different game consoles, the YuuMi and the ZBox. The store’s wholesale cost for a YuuMi is $250, and the store can sell one for $295. The ZBox’s wholesale price is $400, and the store can sell it for $450. The store’s marketing research indicates that the total monthly demand for game consoles will not exceed 250 units sold. The store’s financial manager does not want to invest more than $70,000 in inventory costs for game consoles. How many of each game console should the store stock in order to maximize their profits, and what is their maximum monthly profit?
Constraints:
Objective formula:
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9514 1404 393
Answer:
Constraints: x + y ≤ 250; 250x +400y ≤ 70000; x ≥ 0; y ≥ 0Objective formula: p = 45x +50y200 YuuMi and 50 ZBox should be stockedmaximum profit is $11,500Step-by-step explanation:
Let x and y represent the numbers of YuuMi and ZBox consoles, respectively. The inventory cost must be at most 70,000, so that constraint is ...
250x +400y ≤ 70000
The number sold will be at most 250 units, so that constraint is ...
x + y ≤ 250
Additionally, we require x ≥ 0 and y ≥ 0.
__
A profit of 295-250 = 45 is made on each YuuMi, and a profit of 450-400 = 50 is made on each ZBox. So, if we want to maximize profit, our objective function is ...
profit = 45x +50y
__
A graph is shown in the attachment. The vertex of the feasible region that maximizes profit is (x, y) = (200, 50).
200 YuuMi and 50 ZBox consoles should be stocked to maximize profit. The maximum monthly profit is $11,500.
melonie is 3 times older than her cousin their total of there ages are 36 how old is melonies cousin
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Answer:
Her cousin is 12
Step-by-step explanation:
Use division
used to parallel lines cut by transversal below to answer the question. which statement is not a true statement will mark brainest
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Answer:
B
Step-by-step explanation:
there is no angle e unless i am reading this incorrectly, but i double-checked all the other answer choices and they are all correct, so B is the answer:)
Answer:
see attached
Step-by-step explanation:
125ml= how many cenimeters?
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Answer:
150
Step-by-step explanation:
multiply the volume by 1
Answer:
12,500 cm
Step-by-step explanation:
ml × 100 = cm125 × 100 = 12,500I hope this helps!
Simplify the expression and enter your answer below.
(191/99
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Answer:
the correct answer is 1 92/99
if side of the triangle in 8cm and side 2 is 5cm, then what is the possible range for the length of the third side of the triangle?
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Answer:
7cm
Step-by-step explanation:
I’m confused how to do ratios
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Answer:
i will explain it to you
Step-by-step explanation:
John and Amelia have a baby daughter Sonia John is 23 kg heavier than Amelia who is four times as heavy as Sonia their combined weight is 122. how heavy is each person
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x+4x+4x+23
9x+23=122
122-23=99
9\99=11
J=67
A=44
S=11
11+44+67=122 kg
The weight of John, Amelia and Sonia are 67 kg, 44 kg and 11 kg respectively.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that
Let j , a and s be the weights of John, Amelia and Sonia respectively.
John is 23 kg heavier than Amelia.
j = a + 23
Amelia is four times as heavy as Sonia.
a = 4s ⇒ s = a/4
Their combined weight is 122.
j + a + s = 122
Substituting the above expressions of j and s in terms of a in the equation j + a + s = 122, we get,
(a + 23) + a + (a/4) = 122
2a + a/4 + 23 = 122
9a/4 = 122 - 23
2.25a = 99
a = 44
j = 44 + 23 = 67
s = 44/4 = 11
Hence the weight of each person is 67 kg, 44 kg and 11 kg.
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What percent do you actually pay if 40% discount
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Answer:
60%
Step-by-step explanation:
A 40% discount means that 40% will be off, meaning you won't have to pay 40% of the original price. Therefore, you only pay 60% of the original price (100% - 40% = 60%).
What is the scale factor to go from small triangle to the large triangle?
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Solve –8y + 3 > –5.
A. {y | y < –1}
A. {y | y < –1}
B. {y | y > 1}
B. {y | y > 1}
C. {y | y > –1}
C. {y | y > –1}
D. {y | y < 1}
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Answer:
.
Step-by-step explanation:
Solve by taking the square too of both sides.
3(c+3)^2-81=0
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Answer:
x = -3 ±3sqrt(3)
Step-by-step explanation:
3(x+3)^2-81=0
Add 81 to each side
3(x+3)^2=81
Divide each side by 3
3/3(x+3)^2=81/3
(x+3)^2=27
Take the square root of each side
sqrt ((x+3)^2)=±sqrt(27)
x+3 =±sqrt(9*3)
x+3 =±sqrt(9)*sqrt(3)
x+3 =±3sqrt(3)
Subtract 3 from each side
x = -3 ±3sqrt(3)
A party of 20 adults and 15 children celebrates at a restaurant. Each table in the restaurant seats 4 people. How many tables will the party use?
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Answer:
9
Step-by-step explanation:
20 divided by 4=5 then 15 divided by 4=3.75 so technically 4 so 5+4=9
1 9/13 divided by 3/8
|
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If you're dividing 9/13 by 3/8, then you have
(9/13) / (3/8) = (9/13) • (8/3) = 72/39 = 24/13
If you're dividing 1 + 9/13 by 3/8, then first write 1 + 9/13 as an improper fraction:
1 + 9/13 = 13/13 + 9/13 = 22/13
Then
(1 + 9/13) / (3/8) = (22/13) / (3/8) = (22/13) • (8/3) = 176/39
Which is the correct chemical equation for photosynthesis?
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Answer: The process of photosynthesis is commonly written as: 6CO2 + 6H2O → C6H12O6 + 6O2.
Step-by-step explanation: This means that the reactants, six carbon dioxide molecules and six water molecules, are converted by light energy captured by chlorophyll (implied by the arrow) into a sugar molecule and six oxygen molecules, the products.
If Jim can read an average of 20 pages in 40 minutes, how many hours would it take him to read a manual containing 90 pages?
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Answer:
it takes him 180 kinutes to read 90 pages
A tractor trailer has maximum capacity of 8,000 pounds. The equipment needed to load
and unload the tractor trailer must travel with the trailer and weighs a combined 1,500
pounds. The trailer will be loaded with x containers, each of which weighs 300 pounds.
What is the largest value of x such that the trailer's capacity is not exceeded?
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Answer:
subtract from the maximum load the 1500 of the loading equipment and you have 6500 pounds of capacity for the containers you divide this by 300 which is what each of the containers weighs gives you 21,666 which tells us that the maximum of containers is 21
8000-1500 = 6500
6500/300 = 21.66
Step-by-step explanation:
What is -9 + m + (-6) in simplest form?
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Answer:
m-15
Step-by-step explanation:
At the supermarket you can fill your own honey bear container. A customer buys 12 oz of honey for $5.40. i need help.
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Answer:
Ok, So what I would do first if I were you Is probably divide $5.40 by 12. So that would equal $0.45. So that mean it costs $0.45 per oz.
Step-by-step explanation:
How this helped!
i need help please!!
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Help out
It is due at 7:00
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Answer:
I want the free points. Sorry :)
Magic lines
Can you put the numbers 2 to 8 in the circles so that every line
adds up to 15? You can use each number only once.
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Answer:
Please see attached image
Step-by-step explanation:
The numbers on the upper row should be: 7 6 2
the number in the central disk should be 5
the bottom row should read : 8 4 3
The addition on top row: 7 + 6 + 2 = 15
the addition on bottom row: 8 + 4 + 3 = 15
the addition on the central vertical column: 6 + 5 + 4 = 15
diagonal going down: 7 + 5 + 3 = 15
diagonal going up: 8 + 5 + 2 = 15
Find the coordinates of the midpoint of if A(–4, 7) and S(5, 3).
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Answer:
The answer is
(1/2 , 5)
Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A(-4, 7) and S(5,3)
38.5 divided by 0.5 simplified
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Answer:
77
Step-by-step explanation:
38.5 ÷ 0.5 = 77
77 x 0.5 = 38.5
(think of 5 x 7)
0.5 x 70 = 35 (3.5 left)
0.5 x 7 = 3.5 (0 left)
70 + 7 = 77
Help me easy math problem
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Answer:
15/36
Step-by-step explanation:
Answer:
51/39 then simplify
Step-by-step explanation:
I did it
Carlos cut Start Fraction 5 Over 12 End Fraction of a yard of cloth into 5 pieces of equal length. What was the length of each piece of cloth?
Start Fraction 1 Over 60 End Fraction of a yard
Start Fraction 1 Over 25 End Fraction of a yard
Start Fraction 1 Over 12 End Fraction of a yard
One-fifth of a yard
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Answer:
C.1/12
Step-by-step explanation:
Divide 5/12 by 5 since he cut it into 5 equal pieces
What is the slope of the line represented by the equation 2x+3y= -12?
-3/2
-2/3
2/3
3/2
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Then you add -2x on both sides making
3y=-12-2x
Then you divide the 3 to get the y by itself
So y=-12-2x/3
Which is y=-4-2/3x and the x is the slope so it’s -2/3
48t-18=57t-81 equal what? t=-38, t=63, t=-7, t=38, t=19, or t=7
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Answer:
t =7
Step-by-step explanation:
48t-18=57t-81 Subtract 48t from both sides
48t-48t - 18 =57t-48t - 81 Combine
-18 = 9t - 81 Add 81 to both sides
-18+81 = 9t -81 + 81 Combine
63 = 9t Divide by 9
63/9 = 9t/9
7 = t