The weekly cost per worker is: $800
Unit rate can be used for calculating expenses, calculating cost of multiple units, or calculating expenses.
Recall:
Unit rate is calculated using: [tex]\mathbf{\frac{y_2 - y_1}{x_2 - x_1} }[/tex]
Unit rate represents the amount of a quantity compared to its unit of measure.
Unit rate can be used for calculating expenses, calculating cost of multiple units, or calculating expenses.
Since the relationship between number of workers and weekly cost is proportional, we would apply [tex]\mathbf{\frac{y_2 - y_1}{x_2 - x_1} }[/tex] in determining the weekly cost per worker using the points, (6, 4800) and (15, 12000):
SubstituteUnit rate/weekly cost per worker = [tex]\frac{12,000 - 4,800}{15 - 6} = \frac{7,200}{9} = 800[/tex]
Unit rate/weekly cost per worker = $800
In summary, the weekly cost per worker is: $800
Unit rate can be used for calculating expenses, calculating cost of multiple units, or calculating expenses.
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How many equal parts are there in this image
Answer:
6
It's kind of blury, so I can't really see it.
Answer:
4
Step-by-step explanation:
In how many ways can a student answer the questions on the test if the student can leave answers blank
What's
9/10 + (-3) in simplest form
Reduce the expression, if possible, by cancelling the common factors.
Exact Form: [tex] \:- \frac{3}{10} \\ [/tex]
Decimal form[tex] \: \:- 0.3[/tex]
A grocery store clerk can scan 1 product every 1/2 of a second. At what rate can she scan products?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
Two sides of a triangle measure 27 inches and 32 inches. Which could represent the length of the third side?
Answer:
Step-by-step explanation:
The third side could have dimension x
32 - 27 < x < 32 + 27
5 < x < 59
There are a few special triangles
Equilateral triangle could have legs
27, 32, 27
or
32, 27, 32
A right triangle could have the third side
√(27² + 32²) = √1753 which is about 41.87
or
√(32² - 27²) = √295 which is about 17.18
Notice all these fit within the original limits specified.
Answer:
The third side is greater than 5 but less than 59.
Step-by-step explanation:
Remember: Given any two sides of a triangle, the length of the third side is greater than the difference but less than the sum of the length of the two given sides.
So 27 and 32 The given two sides
32 - 27 = 5 Greater than the difference (greater than 5)
32 + 27 = 59 Less than the sum (less than 59)
If Brianna spent $65 on necklaces and bracelets at a crafts fair.
She spent $23 on bracelets and the rest on necklaces.
If the necklaces all cost the same and Brianna bought 3, how much did each necklace cost?
Which is the graph of the linear inequality Ex-2y> -6?
10
Answer:
y<3 is a horizontal line, not included, but all the points below it
Step-by-step explanation:
[tex] - 2y > - 6[/tex]
[tex]y < 3[/tex]
The ratio of girls to boys on the school field trip is 6 to 7. There are 24 girls on the field trip. What is the total number of students on the field trip? NO LINKS!!!
A.28
B.52
C.4
D.13
Answer:
B.52 is the answer i think for the total number of kids
Use the elimination method to solve the system of equations. Choose the correct orderly pair.
2x+4y=16
2x-4y=0
A. (2,-4)
B. (4,-2)
C. (2,4)
D. (4,2)
(2x+4y=16).....1
(2x-4y=0).....2
then take equation 1 plus 2
4x=16
x=4
then take equation 2 to solve for y
2x-4y=0
(2×4)-4y=0
y=2
therefore answer is D. (4,2)
Strawberries cost $3.00 per pound. For each question
a.
How many pounds of strawberries can you buy for $1.00?
b.
How many pounds of strawberries can you buy for $11.0
Answer:
A. 1/3 pound
B. 11/3 or 3.666666667
Step-by-step explanation:
:)
Which of the following statements are true? Select all that apply.
Answer:
They have 2 left one OR 2 right ones are true
Step-by-step explanation:
Help me out cause this very difficult for me
9514 1404 393
Answer:
a) 37
b) n+d
Step-by-step explanation:
This is a reading comprehension problem. You are asked to understand what you are reading, and to think about what question is being asked.
Given:
a) someone bought 20 notebook computers and 17 desktop computers
b) someone bought n notebook computers and d desktop computers
Find:
a) the total number of computers bought
b) the total number of computers bought
Solution:
a) The total number bought is found by adding together the numbers of each kind:
20 +17 = 37 . . . total computers
__
b) The total number bought is found by adding together the numbers of each kind:
n + d . . . total computers
please need help on this question thanks. see the screenshot
Check the picture below.
F = sales for Friday
we know that the total of weekend sales for Germany was F + 317 + 405.
we also know that 405 is really 37.19% of that amount, say "x", which is the 100%, so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 405&37.19\\ x&100 \end{array}\implies \cfrac{405}{x}=\cfrac{37.19}{100}\implies 40500=37.19x \\\\\\ \cfrac{40500}{37.19}=x\implies 1089~\approx ~ x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{friday}{F} + \stackrel{sat/sun}{317} + \stackrel{monday}{405} \approx 1089\implies F +722 \approx 1089\implies \boxed{F\approx 367}[/tex]
Holly ate 3 brownies from a pan with nine pieces what two equivalent fractions describe how much she ate?
A store has apples on sale for $3.00 for 2 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $12.00? Complete the explanation
Answer:
you can buy 6 pounds of apples
Step-by-step explanation:
Complete the table for the provided graph.
please view the img above for the question ^^
Answer:
2
Step-by-step explanation:
because resetting the graph means it has to be a reflection
True or False.
A 20° angle and a 70° angle can be
composed into a 90° angle.
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=21(0.97)^x
what is the % increase
Answer:
Step-by-step explanation:
As the number under the exponent is less than 1, this is a decay function.
y decreases by (1 - 0.97)100 = 3% for each unit increase in x
so the increase would be -3%
A long distance phone company charges a flat rate of $1.01 and then $0.09 for each minute. If
a call cost $9.56, how long did it last?
Answer:
30
Step-by-step explanation:
Answer:
95 minutes
Step-by-step explanation:
Deduct the flat rate from the total to see how much was spent on minutes
9.56 - 1.01 = 8.55
to get minutes divide that by the cost per minute
8.55/0.09 = 95
95 minutes
A jet is flying in a direction N 70° E with a speed of 600 mi/h. Find the north and east components of the velocity. Round to two decimal places.
Using vector concepts, it is found that the components of the velocity are given as follows:
North: 205.21 mi/h.East: 563.82 mi/h.How can a vector be represented in i and j notation?Given a magnitude M and angle [tex]\theta[/tex], the a vector V can be represented as follows:
[tex]V = M\sin{\theta}i + M\cos{\theta}j[/tex]
In which:
i is the horizontal(east/west) component.j is the vertical(north/south) component.In this problem, we have that the magnitude and the angle are given as follows:
[tex]M = 600, \theta = 70^{\circ}[/tex]
Hence the north component is:
[tex]600\cos{70^{\circ}} = 205.21[/tex]
And the east component is:
[tex]600\sin{70^{\circ}} = 563.82[/tex]
More can be learned about vectors at brainly.com/question/24606590
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if the mean of a data is 316 and the sum of its observation is 3792 find the number of observations in the data.
Answer:
12
Step-by-step explanation:
mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
Here mean = 316 and sum = 3792 , count n is required to be found, so
[tex]\frac{3792}{n}[/tex] = 316 ( multiply both sides by n )
3792 = 316n ( divide both sides by 316 )
12 = n
There are 12 observations in the data
A desk is 39 inches wide. What is the width in yards
Answer:
1.0833 yd
Step-by-step explanation:
Inches Yards
37" 1.0278 yd
38" 1.0556 yd
39" 1.0833 yd
40" 1.1111 yd
Have a great day! :D
If f (x) = 2x^3 - 5x +2, then what is the remainder when f (x) is divided by x - 4?
hmm let's do that with synthetic division, Check the picture below.
Find a formula for the inverse of the following function, if possible.
[tex]P(x) = 3\sqrt[3]{x} - 1[/tex]
[tex]P^{-1}(x) = \\\\[/tex]
or does not have an inverse function
to find the inverse of any expression, we start off by doing a quick variables switcheroo and then solve for "y", so let's do so
[tex]\stackrel{P(x)}{y}~~=~~3\sqrt[3]{x}-1\implies \stackrel{\textit{quick switcheroo}}{x~~ =~~3\sqrt[3]{y}-1}\implies x+1 = 3\sqrt[3]{y}\\\\\\\cfrac{x + 1}{3}=\sqrt[3]{y}\implies \left( \cfrac{x + 1}{3} \right)^3 =y\implies \cfrac{(x+1)^3}{3^3}=y\implies \cfrac{(x+1)^3}{27}=\stackrel{\stackrel{y}{\downarrow }}{P^{-1}(x)}[/tex]
The population of a large city is gradually moving to outlying metropolitan areas with the decline predicted by the functional equation, P = P,2***
If represents the present population of 1 million and Pis the predicted population in t years, what is an estimate of the city's population five
years from now? Use 2.718 for e.
1,161,816
0 223,164
0 860,721
970,448
Rational numbers on the number line
Answers:
A = -5/4B = -0.5C = 2=====================================
Explanation:
The fraction -5/4 converts to -1.25 after using your calculator or long division. It represents the mixed number -1 & 1/4. So we go 1 full unit to the left to arrive at -1, then we move another 1/4 unit to the left to get to point A. That's why point A is located at -5/4 = -1.25 = -1 & 1/4.
Point B is directly midway between 0 and -1, so it must be at -0.5; you can use the midpoint formula.
1/2x - 2=3 number line
Answer:
x = 10
Step-by-step explanation:
I don't really get what you mean, so I just solved for x.
1/2x-2=3
We add 2 on both sides.
1/2x=5
Times both sides by 2 to cancel out the 1/2
x=10.
Hope this helped. :)
(sorry if I didn't do what you wanted me to.)
{3x−5y=4 -2x+6y=18
Please help solve for x and y
Answer:
hello mam I don't know what to say to someone who makes the way to the way to the way to the way to the way to the way to work now where is my turn to the dark side I will be
Solve each proportion 3 = 72 – 7
1. 3/7 = 72/x
By cross multiplication we get :
➟ 3x = 72 × 7
➟ x = 72 × 7/3
➟ x = 24 × 7
➟ x = 168
2. m/8 = 8/20
By cross multiplication we get :
➟ 20m = 8 × 8
➟ 20m = 64
➟ m = 64/20
➟ m = 16/5