Answer:
32
Step-by-step explanation:
Shelby Industries has a capacity to produce 45,000 oak shelves per year and is currently selling 40,000 shelves for $32 each. Martin Hardwoods has approached Shelby about buying 1,050 shelves for a new project and is willing to pay $26.8 each. The shelves can be packaged in bulk; this saves Shelby $1.14 per shelf compared to the normal packaging cost. Shelves have a unit variable cost of $25.4 with fixed costs of $350,000. Because the shelves don’t require packaging, the unit variable costs for the special order will drop by $1.14 per shelf. Shelby has enough idle capacity to accept the contract. What is TOTAL the profit/loss if Shelby should accept for this special order?
Answer:
y = mx + c
since m = 0
c = 9
$350,000 + $25.4 = y value
The total loss is $347,115 for Shelby if they accept the special order.
What is the profit?The profit is equal to the difference between the selling price and the original cost price.
To find the profit or loss for Shelby if they accept the special order, we need to calculate their total revenue from the sale and subtract their total costs.
First, let's calculate the total revenue from the sale of the 1,050 shelves to Martin Hardwoods. The price per shelf is $26.8, so the total revenue is 1,050 shelves x $26.8/shelf = $28,020.
Next, we need to calculate the total cost of producing and packaging the shelves. The unit variable cost is $25.4 per shelf, but because the shelves don't need to be packaged, the unit variable cost will be reduced by $1.14 per shelf. This means the unit variable cost for this special order is $25.4 - $1.14 = $24.26 per shelf.
The total cost of producing the 1,050 shelves is 1,050 shelves x $24.26/shelf = $25,135.
Finally, we need to add in the fixed costs of $350,000. This means the total cost of the special order is $25,135 + $350,000 = $375,135.
To find the profit or loss, we subtract the total cost from the total revenue: $28,020 - $375,135 = -$347,115.
Therefore, the total profit or loss for Shelby if they accept the special order is a loss of $347,115.
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2) Juan had $622 in his checking account. He deposited a check for $180, and $100
cash. However, he recently had an overdraft on his debit card and had a $35 overdraft
fee. What is his new account balance after the deposits and the fee?
Answer:
867
Step-by-step explanation:
622+180+100=902
902-35=867
Which represents the value of Point C on the number line?
Answer:
1
Step-by-step explanation:
A polynomial function, f(x), has x-intercepts at (-6,0) and (2,0). What is one possible factor of f(x)? PLEASE GIVE STEPS
A polynomial that has at least one x-intercept, will have at least one factor.
The factors of the polynomial are [tex]\mathbf{x +6}[/tex] and [tex]\mathbf{x - 2}[/tex]
The given parameters are:
[tex]\mathbf{x-intercepts = (-6,0)\ and\ (2,0)}[/tex]
The x intercepts, represent the value of x, when the function equals 0.
So, the x values at the x-intercepts are:
[tex]\mathbf{x = -6 \ and\ x = 2}[/tex]
Set these equations to 0
[tex]\mathbf{x +6=0 \ and\ x - 2=0}[/tex]
Hence, the factors of the polynomial are:
[tex]\mathbf{x +6}[/tex] and [tex]\mathbf{x - 2}[/tex]
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a recipe calls for 2/3 cup of milk for 11 cookies. How many cups of milk are needed for 165 cookies
Answer:
11 x 15 = 165, so to make 165 cookies, you would need 15 times the milk.
2/3 times 15 = 10
You would need 10 cups of milk to make 165 cookies
Multiple Choice: Choose the correct answer for questions 1 and 2.
1. The height of Trisha, a 17-year-old female student, is in the lower quartile for height for girls aged 16 to 18. This statement means:
A. Trisha's height is average for her age.
B. Trisha is shorter than 25% of girls aged 16 to 18.
C. Trisha is shorter than 75% of girls aged 16 to 18.
D. Trisha is taller than 75% of girls aged 16 to 18.
What is the answer
Answer:
The correct answer is:
C. Trisha is shorter than 75% of girls aged 16 to 18.
Step-by-step explanation:
When a dataset is divided into four equal parts, the first part is called the lower quartile. The data is usually sorted in ascending order before finding quartiles.
The lower quartile contains 25% of the whole data. The values in lower quartile are are less than 75% of the values.
If Trisha's height is in lower quartile that means her height is less than the girls in middle and higher quartile.
Hence,
The correct answer is:
C. Trisha is shorter than 75% of girls aged 16 to 18.
Please help me understand this problem.
Answer:
[tex]\frac{31}{45}x[/tex]
__________________________________________________________
Step-by-step explanation:
We are given:
3[tex]\frac{1}{5}x[/tex] + 10[tex]\frac{7}{9}x[/tex] - 2[tex]\frac{2}{5}x[/tex] - 10[tex]\frac{8}{9}x[/tex]
Concepts used:
Evaluating Mixed fractions and Adding like terms
Simplifying the Mixed Fractions:
to simplify these mixed fractions, we will multiply the whole number part with the fraction's denominator and add that to the numerator.
The number formed will be given the same denominator as of the fraction part in the number
After simplifying these mixed fraction, we get:
[tex]\frac{16}{5}x + \frac{97}{9}x - \frac{12}{5}x - \frac{98}{9}x[/tex]
Adding and Subtracting the like terms:
to simplify our calculations, we will pair the numbers with the same denominator
[tex](\frac{16}{5}x - \frac{12}{5}x) + (\frac{97}{9}x - \frac{98}{9}x)[/tex]
Simplifying the terms in the brackets
[tex]\frac{4}{5}x - \frac{1}{9}x[/tex]
Taking the LCM and simplifying
[tex]\frac{36}{45}x - \frac{5}{45}x[/tex]
Since the denominators are equal, the numerators can now be subtracted
[tex]\frac{31}{45}x[/tex]
Therefore, simplifying the given series of number gives us 31x/45
y + 12 = -30
Please help
What do you want help with? You didn't ask a question...
Select all the transformations that take rectangle abcd onto itself
Answer: (x + 0, y − 4), 180° rotation, reflection over the y-axis.
Last week the Stock A increased by 0.35%. If it had been selling for $150.00, how much did it increase? (round to the nearest penny)
Answer:
5;
Step-by-step explanation:
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Name • A compound subject has two or more subjects with the same predicate. • A compound predicate has two or more predicates with the same subject * Combine subjects or predicates using and, or, or but, or the words eitherior and neitherinor. A Write an S if the sentence has a compound subject. Write a P if the sentence has a compound predicate. Write each compound subject or predicate on the line. Then put parentheses around the word or words that combine the subjects or predicates Omar got a new puppy and named her Daisy. 2. Daisy and Omar enjoy playing outside together in good weather. 3. Nesther Omar nor Daisy likes to be outside in the rain.
Answer:
Step-by-step explanation:
1. Omar got a new puppy "and" named her Daisy.
P (compound predicate)
The compound predicates are 'got' and 'named'
The word 'and' combined the predicates
2. Daisy "and" Omar enjoy playing outside together in good weather.
S (compound subject)
The compound subjects are 'Daisy' and 'Omar'
The word 'and' combined the subjects
3. "Neither" Omar "nor" Daisy likes to be outside in the rain.
S (compound subject)
The compound subjects are 'Omar' and 'Daisy'
The words 'neither nor' combined the subjects
If the time is given in months, you must first _____________ by 12.
Answer:
Multiply
Step-by-step explanation:
I'm assuming you are turning months into years to do so you would multiply the time in months by 12 to get the time in years
In rhombus FGHJ, m∠1=37°.
What is m∠2?
Answer:
m∠2 = 53°
Step-by-step explanation:
We will use two properties of a rhombus to solve this problem.
1). Opposite angles of a rhombus are equal.
2). Diagonals bisect the angles.
Since ∠JFG and ∠JHG are the opposite angles of the rhombus,
m∠JFG = m∠JHG
Since, diagonal FH bisect ∠JHG,
m∠FHJ = m∠GHF = m∠JFH = m∠GFH = 37°
In triangle JFH,
m∠FHJ + m∠JFH + m∠HJF = 180°
37° + 37° + m∠HJF = 180°
m∠HJF = 180 - 74
= 106°
Since, diagonal GJ bisects angle HJF,
m∠FJG = [tex]\frac{106}{2}[/tex] = 53°
Therefore, m∠2 = 53°.
Answer:
m∠2 = 53*
Step-by-step explanation:
I really need help ... I need a tutor or someone who’s willing to help me bc I’m struggling in math
Answer:
I gotchu on this one I didn't know the other one but this one is pretty easy
State if the triangle is acute, obtuse, or right.
Answer:
Its a right triangle.
Step-by-step explanation:
evaluate 2/3 times -4 times 9 divided by -2 divided by 1/2
Answer:
Evaluated: 2/3 (or 0.6 repeating) -4 • 9 ÷ -2 ÷ 1/2 (or 0.5)
Equals: 36.6 (.6 is repeating)
Step-by-step explanation:
Just simplify the fractions and solved with calculator :)
Every week hector works 20 hours and earns $210.00 he earns a constant amount of money per hour white a equation that can be used to determine the number of hours h hector works given the number of weeks w
Answer:
to find out how much hector earns a hour we can do
Step-by-step explanation:
210 ÷ 20
I think you missed some writing it doesn't say the whole question. so I'm not really sure^^
The sum of two numbers is 59. The smaller number is 5 less than the larger number. What are the numbers?
Help please
Answer:
The answer is 32 & 27 because they add up to 59 and 27 is 5 less than 32.
Step-by-step explanation:
Answer:
32, 27
Step-by-step explanation:
Call one number (the larger one) "x"
The other number (smaller one) is " x - 5"
As per the given information;
x + x - 5 = 59
Inverse operations;
x + x - 5 = 59
+5 +5
2x = 64
/2 /2
x = 32
Larger number= 32
Smaller numbers = x - 5 = 32 - 5 = 27
PLEASE HELP ITS TIMED I DONT NEED BIG EXPLAINATION
Jane uses red and blue square tiles to make a design. Her design includes 4 squares that are each x tiles long. She has exactly 16 red tiles and uses them all in her design. The number of blue tiles in her design is modeled by the function b(x)=4x2−16
.
How can b(x)
be written to show how long Jane's squares are when her design includes zero blue tiles?
A
b(x)=4(x2−3.5)−2
B
b(x)=4(x2−4)
C
b(x)=4(x+2)(x−2)
D
b(x)=4(x2−2)−8
Answer:
(C ) b(x)=4(x+2)(x−2)
Step-by-step explanation:
We are given
The number of blue tiles in her design is modeled by the function b(x)=[tex]4x^2-16[/tex]
if the no of blue tiles used is zero then
b(x) =[tex]4x^2-16[/tex] = 0
[tex]x^2 = 16/4[/tex] = 4
x = +2 and -2
this is the condition for blue tiles
Modelling
b(x) = 4(x+2)(x-2)
This means when the blue tiles used are zero, then we use 2 red tile on each of the two square of 4 square. so the length will be 4 tiles long and its a square so 4x4 = 16 red tiles.
A square has a perimeter of 36 cm.
Calculate the area of the square.
Answer:
81 square cm
Step-by-step explanation:
36/4 = 9, so each side is 9 cm. 9 times 9 is 81.
Jack wants to buy a pair of trousers for $60. When he went to the store he found that the price was marked down by 20%. How much do they cost now?
Which is greater: 10cm or 103mm? How much greater?
Answer:
0.3cm and/or 3mm
Step-by-step explanation:
When converting 10cm to mm you get 100mm and when putting 100mm to 103mm its visible that the 103mm is larger, but by how much? The difference is 0.3cm and/or 3mm.
A parallelogram is a rectangle if and only
if its diagonals are congruent.
Answer:
A parallelogram is a rectangle if and only if its diagonals are congruent. A rectangle is a parallelogram with four right angles. A rhombus is a parallelogram with four congruent sides. If a parallelogram has two consecutive sides congruent, it is a rhombus.
Step-by-step explanation:
What is the equation of the line passing through (-5, - 3)
and perpendicular to the line representing the equation
y=-3x+2?
Select one:
O
y = -
5 46
7-T
O ;=x+4
=ין
0 = 2 + 1/3
O
1=
ل |
3x - 10
Answer:
y=7/5x+4
Step-by-step explanation:
the other ones either are to low on the graph to hit -5-3 or they are parallel instead of perpendicular to the given equation
Complete the steps to find the value of x.
2x
128
The required value of the x in the expression 2x = 128 is x = 64.
Given that,
An expression is given 2x = 128, to determine the simplified value of the x.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The given expression is,
2x = 128
Dividing both the sides by 2
2x / 2 = 128 / 2
x = 64
Thus, the required value of the x in the expression 2x = 128 is x = 64.
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Find the mean, median and mode of the weights of the people shown.
round 446,662 to the nearest hundred thousand
Answer:
400,000
Step-by-step explanation:
446 is the closest to 400 so 400,000
pls mark brainliest
Answer:
400,000 is the correct answer
Step-by-step explanation:
just round the 4.
}24} Please help me with this question.
Answer:
Queen
Step-by-step explanation:
This is because only the Queen rules the United Kingdom
Hope this Helps!!! :)
Aisha has $100 saved from her job. She wants to buy as many charms for her bracelet, at $4 each and earrings at $5 per set, as she can without spending all of her money. The inequality represents her spending, where x is the number of charms and y is the number of sets of earrings. 4x + 5y < 100 SAMSUNG Which ordered pair (x, y) represents a combination of charms and earrings Aisha can buy? A. (16,8) B. (15,8) C. (9, 13) D. (6, 15) E. , (5, 16)
Answer:
The answer is D
Step-by-step explanation:
6 times 4 is 24
15 times 5 is 75
75 + 24 = 99
The rest of the answers go over 100
The ordered pair that represents a combination of charms and earrings Aisha can buy is (6,15).
What is inequality?The relation between two unequal expressions is defined as inequality.
The given inequality is 4x+ 5y <100.
(A) Check the inequality for (16,8):
4(16) + 5(8) < 100
64 + 40 < 100
104 < 100
The inequality is false.
(B) Check the inequality for (15,8):
4(15) + 5(8) < 100
60 + 40 < 100
100 < 100
The inequality is false.
(C) Check the inequality for (9,13):
4(9) + 5(13) < 100
36 + 65 < 100
101 < 100
The inequality is false.
(D) Check the inequality for (6,15):
4(6) + 5(15) < 100
24 + 75 < 100
99 < 100
The inequality is true, hence, (6,15) represents a combination of charms and earrings Aisha can buy.
(E) Check the inequality for (5,16):
4(5) + 15(16) < 100
20 + 240 < 100
260 < 100
The inequality is false.
Hence, the ordered pair that represents a combination of charms and earrings Aisha can buy is (6,15).
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Find the slope using the formula.
(9,-5) and (-2,9)
Answer:
14/-11
Step-by-step explanation:
use the slope formula ( y2-y1/x2-x1)
Answer:[tex]-\frac{14}{11}[/tex]
Step-by-step explanation: Formula (y2-y1)/(x2-x1)
(9+5)/(-2-9) = [tex]-\frac{14}{11}[/tex]