The cost of each department A, B, C, and D of the Marketing Department would take up is $8,391.17, $4,914.83, $3,356.47, and $2,337.53, respectively.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Given the cost of operating the marketing Department for March is $19,000. The total area of operation is,
Total Area = Department A + Department B + Department C + Department D
Total Area = 1400 m² + 820 m² + 560 m² + 390 m² = 3,170 m²
Now, the cost of operating a unit area can be determined as,
Cost of operating = $19,000/3,170m² = $5.99369 per m²
Further the cost of operating the different departments are,
Department A = 1400m²×$5.99 = $8,391.17
Department B = 820m²×$5.99 = $4,914.83
Department C = 560m²×$5.99 = $3,356.47
Department D = 390m² × $5.99 = $2,337.53
Hence, the cost of each department A, B, C, and D of the Marketing Department would take up is $8,391.17, $4,914.83, $3,356.47, and $2,337.53, respectively.
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What is the slope of a line perpendicular to the line whose equation is
3x+6y=-54.
Fully simplify your answer.
Answer:
slope = 2
Step-by-step explanation:
Slope-intercept form of a linear equation: [tex]y=mx+b[/tex]
(where m is the slope and b is the y-intercept)
Given equation:
[tex]3x + 6y = -54[/tex]
Rearrange the given equation to make y the subject:
[tex]\implies 6y=-3x=-54[/tex]
[tex]\implies y=-\dfrac{1}{2}x-9[/tex]
Therefore, the slope of the given equation is [tex]-\dfrac{1}{2}[/tex].
If two lines are perpendicular to each other, the product of their slopes will be -1.
Therefore, the slope (m) of the line perpendicular to the given equation is:
[tex]\implies -\dfrac{1}{2} \cdot m=-1[/tex]
[tex]\implies m=-1 \div -\dfrac{1}{2}[/tex]
[tex]\implies m=-1 \cdot-2[/tex]
[tex]\implies m=2[/tex]
Simplify 5(xy+z)-2xy.
Answer:
3xy+5z
Step-by-step explanation:
5(xy+z)-2xy
=5xy+5z-2xy
3xy+5z
If you get $10 starting May 21 2022 for every 8 days till October 1. How Much money will you have?
Answer:
$160
Step-by-step explanation:
the difference between May 21, 2022 -- October 1, 2022 = 133 days. since u only get money every 8 days divide 133 by 8 and round down.
[tex]133/8=16.625[/tex]
[tex]\approx16[/tex]
multiply 16 by $10 to get $160
I need help plss. I’m getting frustrated!!
Answer: Irvin wrote the point at the wrong coordinate
Step-by-step explanation: Irvin wrote it at (3,4) instead of (4,3)
[should have gone right four, up three instead]
Answer:
The coordinates have been mixed up.
Step-by-step explanation:
The given coordinates were (4, 3) where 4 is the x-coordinate and 3 is the y-coordinate. Here, Irvin has taken the point (3, 4) where 3 is the x-coordinate and 4 is the y-coordinate. Hence, he mixed up the coordinates of the point.
Question: Add the decimals
591.79+528.192 =
312.7+2.566 =
235.977+61.889
Answer:
1. 1119.982
2. 315.266
3. 297.866
Answer:
1. 1119.982
2. 315.266
3. 297.866
NO LINKS!! Please help me with this problem
Answer:
Mix A is 2 unitsMix B is 1 unitMix C is 3 unitsStep-by-step explanation:
Let amount of Mix A is a, Mix B is b, Mix C is c.
With the given details, we get the following system
5a + 6b + 4c = 284a + 2b + c = 133a + 4b + 4c = 22Find the value of c (the easiest one) for substitution
c = 13 - 4a - bSubstitute c into the first equation
5a + 6b + 4(13 - 4a - 2b) = 285a + 6b + 52 - 16a - 8b = 28- 11a - 2b = 28 - 5211a + 2b = 24 (5)Substitute c into the third equation
3a + 4b + 4(13 - 4a - 2b) = 223a + 4b + 52 - 16a - 8b = 22- 13a - 4b = 22 - 5213a + 4b = 30 (6)Double the equation (5) and subtract (6), find the value of a
2(11a + 2b) - 13a - 4b = 2(24) - 3022a - 13a = 48 - 309a = 18a = 2Find b
11*2 + 2b = 2422 + 2b = 242b = 2b = 1Now find c
c = 13 - 4*2 - 2*1 c = 13 - 8 - 2c = 3
38. Cylinder A has a radius of 1 m and a height of 4 m. Cylinder B has a radius of 1 m and a height
of 8 m. What is the ratio of the volume of cylinder A to the volume of cylinder B?
A.) 1:2
B.) 2:1
C.) 1:1
D.) 1:4
Hey mate ,
The ratio of Cylinder A to Cylinder B can be find by following steps ,
Volume of Cylinder A : Volume of Cylinder B
πr²h : πR²H
putting the known values , and cancelling same terms on both the sides4 : 8 ( as π and radius can be cancelled because they are same on both the sides)
Ratio :- 1:2
In his first week at college, Anthony spent $17 on entertainment, $33 on food, and $23 on gas. If there are 11 weeks in the semester, estimate the total amount of money Anthony will spend on these things throughout the semester.
Answer:
$803
Step-by-step explanation:
17 + 33 + 23 = 73
73 * 11 = 803
edmentum, end of semester test, geometry A, answer key ,please anyone?
The equation which can be used to find the minimum or maximum amount, c, of chocolate chips that he can weigh out will be:
|C-78|=2.5
What will be the end of semester test?From the question, we have to determine the equation which can be used to find the minimum or maximum amount, c, of chocolate chips that he can weigh out.
From the question statement, we can easily the information thatSam tends to use an industrial kitchen to bake several batches of his famous chocolate chip bars.Also, it is mentioned that he needs to weigh out 78 ounces of chocolate chips, plus or minus 2.5 ounces.Mathematically, it means:
|C-78|=2.5
Hene, the reqired equation will be :|C-78|=2.5
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Samantha evaluates the expression -5.3 + 7.9 and gets an answer of 2.4.
Is this a reasonable answer?
A. Since - 5.3 rounds to -5 and 7.9 rounds to 7, the sum rounds to 2. Her answer of 2.4 rounds to 2. So, it is reasonable.
B. Since -5.3 rounds to -6 and 7.9 rounds to 7, the sum rounds to 1. Her answer of 2.4 rounds to 2. So, it is reasonable.
C. Since -5.3 rounds to -6 and 7.9 rounds to 8, the sum rounds to 2. Her answer of 2.4 is not equal to 2. So, it is not
reasonable.
D. Since -5.3 rounds to -5 and 7.9 rounds to 8, the sum rounds to 3. Her answer of 2.4 is not equal to 3. So, it is not
reasonable.
Answer:
D.
Step-by-step explanation:
-5.3 rounds up to -5
7.9 rounds up to 8
the sum of the two rounded is 3
her answer of 2.4 rounds to 2, not 3
so her answer is not reasonable
giving brainliest and alot of points! A projectile is launched at an angle (θ) of 36° and travels a distance of 375 feet; gravitational acceleration equals 32 ft/sec2. Calculate the initial velocity.
a
114 ft/sec
b
116 ft/sec
c
112 ft/sec
d
110 ft/sec
Answer:
(c) 112 ft/sec
Step-by-step explanation:
4 = 112.33 ft/sec = 112 ft/sec
Given the sequence defined by $a_n = 48 - 3n$, find all possible values of $k$ so that \[a_1 + a_2 + a_3 + \cdots + a_k = 330.\]
Answer:
k = 11 or 20
Step-by-step explanation:
The sum of terms of an arithmetic sequence is given by ...
Sn = (a1 +an)(n/2)
We want to find the value of n for a particular series to have a particular sum.
__
parametersThe series of interest is defined by ...
an = 48 -3n
so, the first term is ...
a1 = 48 -3(1) = 45
The k-th term is ...
ak = 48 -3k
__
sumThen the sum is ...
Sk = (45 +(48 -3k))(k/2)
We want this value to be 330, so we have ...
330 = (93 -3k)(k/2)
__
solution220 = (31 -k)k . . . . . . . . multiply by 2/3
k² -31k +220 = 0 . . . . . in standard form
We want factors of 220 that total 31.
220 = (1)(220) = (2)(110) = (4)(55) = (5)(44) = (10)(22) = (11)(20)
The last of these pairs totals 31, so we have ...
(k -11)(k -20) = 0 . . . . . factored form of the equation
k = 11 or k = 20 . . . . . values of k that make the factors zero
Possible values of k are 11 and 20.
Suppose the U.S. president wants to estimate the proportion of the population that supports his current policy toward revisions in the health care system. The president wants the margin of error to be 0.05. Assume a 98% level of confidence. The president’s political advisors found a similar survey from two years ago that reported that 46% of people supported health care revisions. (Use t Distribution Table & z Distribution Table.)
Required:
a. How large of a sample is required? (Round up your final answer to the next whole number.)
b. How large of a sample would be necessary if no estimate were available for the proportion supporting current policy? (Round up your final answer to the next whole number.)
The sample size for part (a) is 540, and the sample size for part (b) is 543 if the margin of error to be 0.05.
What is the margin of error(MOE)?It is defined as an error that provides an estimate of the percentage of errors in real statistical data.
The formula for finding the MOE:
[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]
Where Z is the z-score at the confidence interval
s is the standard deviation
n is the number of samples.
We know:
[tex]\rm MOE = Z \times \sqrt{\dfrac{pq}{n}}[/tex]
We have MOE = 0.05, p = 46% = 0.46,
q = 1-p = 1-0.46 = 0.54
Z at 0.02(because 98% level of confidence) = 2.33
Plug this value in the formula we get:
[tex]\rm 0.05 = 2.33 \times \sqrt{\dfrac{0.46\times0.54}{n}}[/tex]
After solving:
n = 539.41 ≈ 540
If no estimate is given:
p = 0.5 and q = 0.5
[tex]\rm 0.05 = 2.33 \times \sqrt{\dfrac{0.5\times0.5}{n}}[/tex]
n = 542.89 ≈ 543
Thus, the sample size for part (a) is 540, and the sample size for part (b) is 543 if the margin of error to be 0.05.
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Element X is a radioactive isotope such that its mass decreases by 62% every year. If an experiment starts out with 650 grams of Element X, write a function to represent the mass of the sample after
t
t years, where the daily rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per day, to the nearest hundredth of a percent.
Use the general formula for decay substance
[tex]\\ \rm\Rrightarrow N=N_o(1-r)^t[/tex]
r is rate of decay. t is timeFor our equation r=62%=0.62
So
function becomes
[tex]\\ \rm\Rrightarrow N=650(1-0.62)^t[/tex]
[tex]\\ \rm\Rrightarrow N=650(0.38)^t[/tex]
Change for a year
[tex]\\ \rm\Rrightarrow N=650(0.38)[/tex]
[tex]\\ \rm\Rrightarrow N=247g[/tex]
Amount decayed=650-247=403g
Daily decay
403/3651.1gPercentage decay
[tex]\\ \rm\Rrightarrow \dfrac{1.1}{650}\times 100[/tex]
[tex]\\ \rm\Rrightarrow 0.169[/tex]
[tex]\\ \rm\Rrightarrow 16.9\%[/tex]
5b8c3
The degree of the monomial is?
Answer:
8
Step-by-step explanation:
The given monomial is :
5b⁸c³The degree of the monomial is the highest power to which a variable is raised to in the monomial. The greatest power in this case belongs to b⁸, which has a power of 8.
Hence, the degree of the monomial is 8
A bag contains 6red balls,4 green balls,and3,blue balls if we choose a ball then another one what is the probability That the first ball will be green and the second ball be red
Total balls: 6 + 4 + 3 = 13
First pick green = total green / total balls = 4/13
adter picking the first ball there are 12 balls left.
Picking red = total red/ total balls left = 6/12 = 1/2
probability of picking both = 4/13 x 1/2 = 4/26 = 2/13
answer: 2/13
URGENT AND IMPORTANT. WILL GIVE BRAINLIEST TO FASTEST CORRECT ANSWER. PLEASE ANSWER ASAP. PHOTO ATTACHED OF PROBLEM.
Answer:
A
B
C
and
D
Step-by-step explanation:
A
B
C
and
D
HELP!!! NEED ANSWER IN 5 MINUTES A store owner asks each person to write "Yes" or "No" on a slip of paper as they leave, secretly writing down whether they were happy with their experience. At the end of the day, the owner selects 16 slips at random and looks at them.
Answer:
[tex]\sf \dfrac{1}{2}[/tex]
Step-by-step explanation:
Results from the slips of paper:
yes = 8no = 8Total slips of paper = 16
[tex]\sf Proportion = \dfrac{part}{whole}[/tex]
[tex]\implies \textsf{Proportion of shoppers who were happy}=\sf \dfrac{8}{16}=\dfrac{1}{2}[/tex]
Answer:
1/2
Step-by-step explanation:
There are 16 responses
There are 8 people who said yes
P( happy) = yes/ total
P(happy) = 8/16 = 1/2
This is about to be due in 10 mins.
Find the area:
The area of the composite figure in the given diagram is calculated as: 152 square inches.
What is the Area of a Composite Figure?The area of a composite figure is gotten by decomposing the figure into known shapes and finding the area of each of the shapes.
The area of the figure = area of bigger rectangle + area of smaller rectangle = lw + lw
The area of the figure = (20)(6) + (8)(4)
The area of the figure = 152 in.²
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PLEASE HELP ASAP
prove the identity:
sec x sin x
—————— =sin^2x
tan x+cot x
Options in pic
Answer:
See below
Step-by-step explanation:
[tex]\displaystyle \frac{\sec x\sin x}{\tan x+\cot x}\\\\=\frac{\frac{1}{\cos x} \sin x}{\frac{\sin x}{\cos x} + \frac{\cos x}{\sin x}}\\ \\=\frac{\frac{\sin x}{\cos x} }{\frac{\sin x \sin x}{\cos x \sin x} + \frac{\cos x \cos x}{\cos x \sin x}}\\\\=\frac{\frac{\sin x}{\cos x} }{\frac{\sin^2 x}{\cos x \sin x} + \frac{\cos^2 x}{\cos x \sin x}}\\\\=\frac{\frac{\sin x}{\cos x}}{\frac{\sin^2 x+\cos^2 x}{\cos x \sin x} }\\ \\=\frac{\frac{\sin x}{\cos x} }{\frac{1}{\cos x \sin x} }[/tex]
[tex]=\frac{\sin x}{\cos x}\cdot \sin x \cos x\\ \\=\frac{\sin x \sin x \cos x}{\cos x}\\ \\=\sin^2x[/tex]
Thus, the identity is proven. Match the options up accordingly to my step-by-step process.
CREATE A NUMBER LINE THAT
1 7
RANGES FROM – TO —. THEN ADD
8 8
AS MANY OTHER FRACTIONS AS
YOU CAN IN BETWEEN
The fractions on the number line are 1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8
How to generate the number line?The range of the number line is given as:
Range = 1/8 to 7/8
Using an increment of 1/8, the fractions on the number line are:
1/8, 2/8, 3/8, 4/8, 5/8, 6/8, 7/8
Next, we plot the number line where the above fractions are placed on the number line
See attachment for the required number line.
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Need help with 21-22
Answer: 21 is b. 22 is c
Step-by-step explanation: do u need explanation.. because the questions are multiple choice???
Please help. What is the area?
The area of the composite figure = area of rectangle 1 + area of rectangle 2 + area of triangle = 56 km²
What is the Area of a Composite Figure?Find the area of each shape that make up the figure, then add up to get the area of the composite figure.
The area of the composite figure = area of rectangle 1 + area of rectangle 2 + area of triangle
Area of rectangle 1 = (length)(width) = (6)(3) = 18 km²
Area of rectangle 2 = (length)(width) = (7 + 3)(2) = 20 km²
Area of triangle = 1/2(base)(height) = 1/2(10 - 4)(6) = 18 km²
The area of the composite figure = 18 + 20 + 18 = 56 km²
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Mrs. Peterson needs a piece of rug 28 dm wide and 38 dm long to put on the floor
Of her living room. What is the area of the rug that she needs?
Answer:
1,064dm^2
Step-by-step explanation:
The formula for Area
—> A = lw
Plug our units into the formula
A = 38(28)
A= 1064dm^2
number 21 please and thank you
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
sin =opposite/hypotenuse
sinQ=5/6
Write an equation that represents the line.
Use exact numbers. please help and i cant get it wrong if ur answer isn’t right pls don’t put it fr
Answer:
y = (3/4)x-9/2
Step-by-step explanation:
We've got two points, (-2, -6) and (2, -3). That's more than enough info to construct a line. The slope of the line is the ratio between the change in y (Δy) and the change in x (Δx). Here, Δy = -3 - (-6) = -3 +6 = 3, and Δx = 2 - (-2) = 2 + 2 = 4, so the slope is Δy/Δx = 3/4. From here, we can use the point-slope form of a line to get a general equation. With the slope m = 3/4 and choosing the point (2, -3), we have
[tex]y-y_1=m(x-x_1)\\y-(-3)=(3/4)(x-2)\\y+3=(3/4)x-3/2\\y=(3/4)x-3/2-3\\y=(3/4)x-3/2-6/2\\y=(3/4)x-9/2[/tex]
Cooking oil is sold 250ml packets. How much money would Joshua pay for 1litre of cooking oil,if the market price of 1/2litre is 1700
Answer:
3400
Step-by-step explanation:
1L=1000ml
½L=500ml price = 1700
2(500)=2(1700)
1000L= 3400
hence Joshua will pay R3400 for 1L of cooking oil
A toy factory manufactures d dolls every hour.Each dolls costs e cents.How much money will the factory spend in costs for manufacturing dolls in 7 hours and 30 minutes?
Answer:
in 7hours and 30 mn the cost will be (7.5×d×e) cents
Step-by-step explanation:
[tex]\begin{matrix}\text{Time} &1h&7.5h\\ \text{number of dolls} &d&7.5\\ \text{Cost} &d\times e&7.5\times d\times e\end{matrix}[/tex]
Shula covered a box with fabric. The dimensions of the box are 7 inches x 11 inches and depth is 8 inches. If fabric costs 7 cents how much will she spend on fabric
Answer:
Option (D) is correct.
Shyla spend $30.94 on the fabrics
Step-by-step explanation:
Shyla has a box with the dimensions of 7 inches, 11 inches, 8 inches. Since it has 3 sides thus, it is form of a cuboid.
Here Length (l) = 7 inches
Breadth (b) = 11 inches
Height (h) = 8 inches
Surface area of Cuboid = 2( lb +bh + hl )
Substitute the values, we get,
Surface area of Cuboid = 2( 7 × 11 + 11× 8 + 7 × 8 )
= 2( 77 +88 +56)
= 422 square inches.
Given: the fabric costs 7 cents per square inch = $0.07 per square inches.
Money Shyla spend on the fabric = total area × cost of fabric per square inch
= 442 × 0.07
= $30.94
Thus, Shyla spend $30.94 on the fabrics.
So , Option (D) is correct.
Hey everyone
This' just a random math question
[tex]x + 5 - \cfrac{1}{3} = 12[/tex]
Answer:
The value of x = 22/3
Step-by-step explanation:
x + 5 - 1/3 = 12
=> x+5 = 12 + 1/3
=> x + 5 = (36 + 1) /3
=> x + 5 = 37 /3
=> (x+5) 3 = 37
=> 3x + 15 = 37
=> 3x = 37 -15
=> 3x = 22
=> x = 22/3
Answer to your question is given in the attachment
Hope this Helps :)