Using the profit concept, it is found that the break-even point is of 61.6 units.
Profit is given by revenue subtracted by cost.The break-even point is when the revenue is the same as the cost, which means that the profit is zero.In this problem:
Variable cost per unit x of $217, fixed cost of $5,420, thus, the cost equation is given by:[tex]C(x) = 217x + 5420[/tex]
Selling price per unit of $305, thus, the revenue equation is given by:
[tex]R(x) = 305x[/tex]
The break-even point is the value of x for which:
[tex]R(x) = C(x)[/tex]
Then
[tex]305x = 217x + 5420[/tex]
[tex]88x = 5420[/tex]
[tex]x = \frac{5420}{88}[/tex]
[tex]x = 61.6[/tex]
The break-even point is of 61.6 units.
A similar problem is given at https://brainly.com/question/4001746
1) In how many ways can a girl choose a two-piece outfit from 9 blouses and 8 skirts?
A) 17
B) 19
C) 144
D) 72
The total number of ways a girl can choose a two-piece outfit from 9 blouses and 8 skirts is 72.
What is permutation?Permutation is a mathematical calculation of the number of ways a particular set can be arranged, where order of the arrangement matters.
Permutation Formula[tex]^{n} P_{r} = \frac{P!}{(n-r)!}[/tex]
Where,
[tex]^{n}P_{r}[/tex] is permutation
n is the number of objects
r is the number of objects selected.
According to the given question.
Total number of blouses = 9
Total number of skirts = 8
So,
the number of ways of choosing one blouse from 8
=[tex]^{8} P_{1}[/tex]
= [tex]\frac{8!}{(8-1)!} \\[/tex]
= [tex]\frac{8!}{7!}[/tex]
= [tex]\frac{8\times 7!}{7!}[/tex]
= [tex]8[/tex]
And the number of ways of choosing one skirt from 9
[tex]^{9} P_{1} \\= \frac{9!}{(9-1)!} \\= \frac{9\times 8!}{8!} \\=9[/tex]
Therefore,
The total number of ways of choosing two piece outfit from 9 blouses and 8 skirts
= [tex]^{8} P_{1} \times ^{9} P_{1}[/tex]
= [tex]8 \times 9[/tex]
[tex]= 72[/tex]
Hence, the total number of ways a girl can choose a two-piece outfit from 9 blouses and 8 skirts is 72.
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Explicit Formula for 10,12,14,16,18
How to Reduce -2/-6 to its lowest form?
Answer:
1/3. To reduce a fraction, divide both the numerator and denominator by the GCF.
Please answer this
Hope you get along
I report What to answer
What the hel you expect us to do all that for 5 kids points? Go ask you mom to do that for you. If you're asking US to do that, then it has to be 40 or 50 points.
IS
ΔABC » ΔQRS
Find the missing side length, x.
Answer:
x = 10
Step-by-step explanation:
x/8 = 15/12
x/8= 5/4
x= (8 x 5)/4
x = 10
At its peak, an online shopping site was selling about 420 items per second. At this rate, how many items would it sell in 30 minutes ( 1,800 seconds)?
Answer: 758,000
Step-by-step explanation:
Expression: 420 x 1,800
Basically just find the number of seconds and since every second 420 items are sold just multiply 420 x number of seconds which is 1,800
A ball is thrown vertically upward from the top of a 100-foot tower, with an initial velocity of 20 ft/sec. Its position function is s(t) = -16t^2 + 20t + 100. What is its velocity in ft/sec when t = 1 second?
The velocity of the ball in ft/sec, when t = 1 second is equal to -12 ft/sec.
Given the following data:
Displacement = 100 feetTime = 1 secondsPosition function = [tex]s(t) = -16t^2 + 20t + 100[/tex]To calculate the velocity of the ball in ft/sec, when t = 1 second:
Mathematically, the velocity of an object or physical body is equal to the differentiation of it's position function.
Velocity = s'(t)
Velocity = [tex]s(t) = -16t^2 + 20t + 100[/tex]
[tex]Velocity = -32t + 20[/tex]
Substituting the value of time (t), we have:
[tex]Velocity = -32(1) +20\\\\Velocity =-32+20[/tex]
Velocity = -12 ft/sec
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A can of green beans cost $1.29 but goes on
sale for $0.79. What was the sale on the green
beans?
Plz help!!!
Answer:
≈ 38.76%Step-by-step explanation:
Given:
Cost = $1.29Sale = $0.79Sale percent is:
(1.29 - 0.79)/1.29*100% ≈ 38.76%Kiran has 27 nickels and quarters in his pocket, worth a total of $2.75.
a. Write a system of equations to represent the relationships between the
number of nickels n, the number of dimes d, and the dollar amount in
this situation.
Answer:
[tex]\begin{cases}n+d = 27\\0.05n+0.10d = 2.75\\\end{cases}[/tex]
====================================================
Explanation:
n = number of nickels
d = number of dimes
The n and d are placeholders for positive whole numbers.
Since we have 27 coins, we know that n+d = 27. The two subcounts must add to the grand total of 27. That explains how the first equation is set up.
The second equation is set up by looking at the dollar amount each group of coin brings in.
0.05n = amount of money in dollars the nickels bring in
0.10d = amount of money in dollars the dimes bring in
0.05n+0.10d = total amount of money in dollars = 2.75
The single curly brace to the left of the equations tells the reader we're dealing with a system of equations. The equations are tied together.
solve pls brainliest
Answer:
white
4 were sold
3 more gray were sold than white
3 colors sold 10 or more
Answer:
a) White
b) 3
c) 3
Step-by-step explanation:
a) White as it is the shortest bar (has the lowest height and only has 4 t-shirts sold)
b) According to the bar graph, 7 grey t-shirts were sold and 4 white t-shirts were sold. Subtracting 4 from 7 = 7-4 = 3
Hence, 3
c) At least 10 T-shirts sold, suggests that it was greater than or equal to 10. According to the graph, black has 12, tan has 11, and brown has 10. Hence,
3 colors had at least 10 t-shirts sold.
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
Feel free to mark this as brainliest!
A survey of 300 randomly selected high school students determined that 16 play organized sports.
What is the probability that a randomly selected high school student plays organized sports?
(Round to the nearest thousandth as needed.)
(a) The probability that randomly selected high school student plays organized sport is 236/300 = 59/75 = 0.787 = 78.7%.
(b) The probability means that for every 75 random students selected, 59 of them plays organized sport.
review the simple linear graph what is the slope of the simple linear graph of Line c write the slope either as a integer or fraction NO decimals enter your answer in the box
Answer:
The answer is 1/4. Hope it helps.
Step-by-step explanation:
You have at most $20 to spend at an arcade. Arcade games cost $0.75 each, and snacks cost $2.25 each. Write an inequality that represents the numbers of games (x )you can play and snacks( y) you can buy.
The inequality is ??
Answer:
y ≤ -1/3x+80/9
Step-by-step explanation:
(1). 0.75(x)+2.25(y) ≤ 20
0.75 - Number of arcade games (X).
2.25 - Number of snacks (Y).
20 - The total.
(2). 0.75x+2.25y≤20
(After multiplying the x's and y's together, with the numbers).
(3). 0.75x (-0.75x) + 2.25y ≤ 20 (-0.75x)
(Subtract -0.75x to each side, which allows the equation to get closer to the answer).
(4). 2.25y -0.75x + 20
———— = ————
2.25 2.25
(Divide by 2.25 to each side).
(5). y ≤ -1/3x + 80/9
(The result and the inequality).
A number n is increased by 40% and then decreased by 14%. What is the final result in terms of n?
Answer:
X = 100. A 40% increase causes it to increase to 140. A 40% reduction amounts to multiplying by 0.6, leading to a reduction of 40% of 140 ...
The pH scale measures how acidic or basic a substance is. Bleach is said to have a
55 POINTS!!! WILL MARK!!! ANSWER FAST!!!pH of less than 14 and greater than 11. Model the normal range of pH values of bleach, using a compound inequality.
11 > x > 14
11 < x < 14
11 ≤ x ≤ 14
11 ≥ x ≥ 14
Answer:
11 < x < 14
Step-by-step explanation:
Bleach ph value ranges from 11-13
Part A 4.59 is 3.4% of what number ?
Part B 98% of 66 is what number ?
Part c what number is 36% of 142 ?
All the people of a neighborhood pooled together and won the lottery. They won $10,000,000 and each person got a 0.02 share. How much money did each person receive?
Answer:
$200,000
Step-by-step explanation:
They all won $10,000,000 and
each person got a 0.02 share of the $10,000,000
Each person received
10,000,000*0.02 = $200,000
Evaluate f(x)=2x+8 when x=−2, x=0, and x=5.
f ^− 1 ( x ) = x/2 − 4
That is the inverse
The value of the function, for x=-2 is 4.
The given function is f(x)=2x+8.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
When x=-2, we get
f(-2)=2(-2)+8
=4
When x=0, we get
f(0)=2(0)+8
= 8
When x=5, we get
f(5)=2(5)+8
= 18
Therefore, the value of the function, for x=-2 is 4.
To learn more about the function visit:
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Which symbol correctly compares these fractions?
−35□−23
=
<
>
-35 is < -23.
-35 is less than -23.
-23 is closer to 0 on the number line with 12 steps than -35.
John and Jill collect 280 stamps. Out of this John collected three time as many as
Jill. How many stamps did Jill collected?
Answer:
Jill collected 70 Stamps
John collected 210 Stamps
Step-by-step explanation:
280/4=70
Please allow me to know if my answer helped you with a thank you!
<3Miss Hawaii
solve pls brainliest
Answer:
(1,6)
Step-by-step explanation:
all u gotta do is look at the graph, the school is at x=1 and y=6 so therefore (1,6)
Answer:
(1,6)
Step-by-step explanation:
Which is the greatest fraction? 1/3 , 1/4 , 2/4 , 3/8
Answer:1/4 < 1/3 < 3/8 < 2/4 Hope that helps!:)
Step-by-step explanation:
Rewriting as equivalent fractions with the LCD:
1/3 1/4 2/4 3/8
8/24 6/24 12/24 9/24
Sorting this table by the numerators of the equivalent fractions in order from least to greatest:
1/4 1/3 3/8 2/4
6/24 < 8/24 < 9/24 < 12/24
Therefore, the sorted inputs in order from least to greatest is:
1/4 < 1/3 < 3/8 < 2/4
Jane, Andre, and Maria pick apples. Andre picks three times as many pounds as Maria. Jane picks two times as many pounds as Andre. The total weight of the apples is 840 pounds. How many pounds of apples does Andre pick?
Answer:
Andre picks 252 lbs of apples
Step-by-step explanation:
Maria picks 84
84 x 3 is 252
252 + 252(2) + 84 = 840
A 48 cm wire is to cut into two pieces. One piece must be cut 10 com longer than the shorter piece. How long should each peice be?
Step-by-step explanation:
short - S
long - L
L=10+S
L+S = 48
SINCE L=10+S
10+S+S=48
10+2S=48
2S=48-10
S=38/2=19
SHORT=19CM
LONG=10+S=10+19=39CM
Solve the equation a = m - n for the variable n.
Answer:
n = m - a
Step-by-step explanation:
a = m - n
add n to both sides of the equation
a + n = m - n + n
a + n = m
subtract a from both sides of the equation
a - a + n = m - a
n = m - a
Answer:
n = a - m
Step-by-step explanation:
a = m - n
a - m = n
1.(154)10=(?)2
helpme! to solve it plz.
Answer:
I think its (10000110)2
PLEASE SHOW YOUR WORK
FIRST TO ANSWER GETS BRAINLIEST!
Answer:
Carlton: 731 feet tall
Burj Khalifa: 2716 feet tall
Q1 Tower: 1059 feet tall
The Shard: 1017 feet tall
Willis Tower: 1450 feet tall
Gran Torre: 984 feet tall
(note: this is all rounded up answers)
Work:
223 x 3.28 = 731
828 x 3.28 = 2716
323 x 3.28 = 1059
310 x 3.28 = 1017
442 x 3.28 = 1450
300 x 3.28 = 984
solve pls brainliest
Answer:
x = 6.4
Step-by-step explanation:
Step 1: Divide both sides by 4.
[tex]\frac{4x}{4}=\frac{25.6}{4}[/tex] [tex]x = 6.4[/tex]Step 2: Check if solution is correct.
[tex]4(6.4)=25.6[/tex] [tex]25.6=25.6[/tex]Therefore, x = 6.4.
Answer:
4x = 25.6
4x = 256 / 10
x = 256 / (10×4)
x = 64 / 10 (256 ÷ 4 = 64)
x = 6.4
so, answer is 6.4 .
Step-by-step explanation:
brainliest plz
What is the denotation of the word "stealing” in this excerpt?
being deceptive
committing a crime
keeping a secret
taking over
The word stealing in the given excerpt denotes; taking over
How to find the meaning of the excerpt?
This question is gotten from the excerpt from the Narrative of the Life of Frederick Douglass.
Now, from the given narrative, we see that her frame already racked with the pains of old age, and complete helplessness fast stealing over her once active limbs.
Thus, this means that the word stealing denotes that taking over her active limbs.
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Answer:
Taking over.
Step-by-step explanation:
there are 9 acorns in each pile. there are 8 piles. how many acorns are there in all? write an equation that can be used to solve this problem
Answer:
72 acorns.
Step-by-step explanation:
9 (acorns per pile)
*
8 (piles)
Answer:
9x8=72 making the answer 72 acorns in total.