The graph shows a proportional relationship between the number of workers and weekly cost in dollars for a company. Use the points ​(6​,4800​) and ​(15​,12000​) to find the weekly cost for the company for each worker. Use pencil and paper. Describe what a unit rate is used for?

Answers

Answer 1

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​):

Substitute

Unit 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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Related Questions

The height of a door is 1.6 feet longer than its width, and its front area is 1489.3 square feet. Find the width and height of the door

Answers

Answer:

The width of the door to be 39.10 ft, and the height to be 40.7 feet.

Write 12.325 as a mixed number. quick I need help

Answers

Answer:

493/40

i tried my best on it

Answer:

493 /40

Step-by-step explanation:

(12.325 × 100) /  (1 × 1000)  =  

=12325/ 1000

is 6 x 8 4 x 12 equal or not equal

Answers

Answer:

both is 48

Step-by-step explanation:

1) Write a system of equations to describe the situation below, solve using any method, and
fill in the blanks.
)) Erin is training for a triathlon and needs to swim a certain distance for today's workout.
If she swims at the rec center pool, she will complete a 239-meter warmup and then swim
laps in a lane that is 32 meters long. If Erin swims at the indoor pool at her gym, she will
complete a 223-meter warmup, plus a main set that consists of 33 meters per lap. If Erin
swims the correct number of laps, she can complete the same distance in either pool. How
many laps will that take? How long will Erin's workout be in total?
Erin swims
meters
laps at either pool, she can complete a total workout of

Answers

this situation can be represented by

y = 33x + 223

y = 32x + 239

I still like substitution, so let’s plug in 33x + 223 into the second equation

33x + 223 = 32x + 239

Move the terms into appropriate sides

33x - 32x = 239 - 223

Combine like terms

x = 16

Then plug in x for any equation

y = 32(16) + 239

y = 751

Erin will have to swim 16 laps for a total of 751 meters

What is m + 5n where m = 1 and n = 5?

CHOOSE THE RIGHT ANSWER:
A. 26
B. 52
C. 25
D. 62

HELP! (T^T)​

Answers

Answer:

A. 26

Step-by-step explanation:

substitute the number in for the variables (letters).

[tex]m + 5n \\ \\ 1 + 5(5) \\ 1 + 25 \\ 26[/tex]

Evaluate 51x3 - 21 + 7 when x = -2.
DONE

Answers

Answer:

-320 i guess

Step-by-step explanation:

51*-2*3-21+7=-320

A rectangular garden to contain 3 length segments and 4 width segments. The total amount of fencing required is 24 meters. What is the maximum possible area

Answers

Answer:

12 meters sq

Step-by-step explanation:

area= length x width

area= 3x4

area=12 meters sq

what is -2(x+1) simplified

Answers

Answer:

-2x - 2

Step-by-step explanation:

-2(x + 1)

[tex](-2)(x+1)[/tex] [tex](-2)(x)+(-2)(1)[/tex] [tex]-2x - 2[/tex]

Therefore, the answer is -2x - 2.

Answer:

-2x - 2

Step-by-step explanation:

Simplify:

-2(x+1)-2(x) + -2(1)-2x - 2

-Chetan K

By what number should be 6 2/9 be divided to obtain 4 2/3 ?​​

Answers

6(2/9)

4(2/3)

18/54

8/12

=18/54

=8/12

u divided all

Let the number should be duvided be X

Given number = 6 2/9

⇛ (6×9+2)/9

⇛ (54+2)/9

⇛ 56/9

On dividing 56/9 by X then the result

= (56/9)/X

= 56/9X

According to the given problem

The result = 4 2/3 = 14/3

⇛ 56/9X = 14/3

⇛ 9X×14 = 56×3

⇛ 9X = 56×3/14

⇛ 9X = 4×3

⇛9X = 12

⇛X = 12/9

=⇛X = 4/3 or 1 1/3

Answer

The required number is 4/3 or 1 1/3

Check

On dividing 6 2/9 by 1 1/3

⇛ 6 2/9 ÷ 1 1/3

⇛ (56/9)÷(4/3)

⇛ (56/9)×(3/4)

⇛ (56×3)/(9×4)

⇛ 14/3

⇛4 2/3

Verified.

You are studying a population of geese in which there are two color phases, brown and gray. Color in this species is controlled by a single gene, with brown dominant to gray. A random sample of 250 geese shows that 210 are brown. What percentage of the brown geese are heterozygous

Answers

Based on the information given the percentage of the brown geese that are heterozygous is 48%.

Random sample = 250

Brown color = 210

Gray color = 250 - 210 = 40

First step is to calculate the proportion of a alleles in the population

Proportion (a alleles)=√40/250

Proportion (a alleles)= √0.16

Proportion (a alleles)= 0.4

Second step is to calculate the proportion of A alleles in the population

p(A) = 1 - 0.4

p(A)= 0.6

Third step is to calculate brown heterozygous percentage using this formula

Brown heterozygous percentage=2pq(Aa)

Let plug in the formula

Brown heterozygous percentage= 2 x 0.6 x 0.4

Brown heterozygous percentage= 0.48 ×100

Brown heterozygous percentage= 48%

Inconclusion  the percentage of the brown geese that are heterozygous is 48%.

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What is the product?
(Y^2+3Y+7)(8y^2+y+1​

Answers

Answer:

8y⁴+25y³+60y²+10y+7

Step-by-step explanation:

8y⁴+y³+y²+24y³+3y²+3y+56y²+7y+7

8y⁴+25y³+60y²+10y+7

Answer:

8y^4+25y^3+60y^2+10y+7

Step-by-step explanation:

(y^2+3y+7)(8y^2+y+1)

We are going to multiply the first term, y^2, by the whole second part (8y^2+y+1)

8y^4+y^3+y^2

now we multiply the 2nd term, 3y, by the whole second part (8y^2+y+1))

24y^3+3y^2+3y

now we do the same to the last term, 7.

56y^2+7y+7

now we need to add all three of our products together

(8y^4+y^3+y^2)+(24y^3+3y^2+3y)+(56y^2+7y+7)

adding like terms:

8y^4+y^3+24y^3+y^2+3y^2+56y^2+3y+7y+7

we get:

8y^4+25y^3+60y^2+10y+7

The points in the table lie on a line. Find the slope of the line

Answers

Answer: Slope formula: m = y2 - y1/ x2 - x1

2 - (-2)/ 1 - 0

2 + 2/1

4/1

Slope = 4

Would appreciate brainly <3

(3[tex]x^{2}[/tex]+[tex]y^{2}[/tex])Y+([tex]y^{2}[/tex]-[tex]x^{2}[/tex])x×[tex]\frac{dy}{dx}[/tex]=0

Answers

It looks like the given differential equation is

(3x² + y²) y + (y² - x²) x dy/dx = 0

Multiply both sides by 1/x³ to get

(3 + y²/x²) y/x + (y²/x² - 1) dy/dx = 0

(Note that in order to do this, we must have x ≠ 0, which means that if a solution exists, it would have to be on either (-∞, 0) or (0, ∞).)

Now substitute z = y/x, or y = xz, from which we get dy/dx = x dz/dx + z. Making this replacement and simplifying yields a separable equation:

(3 + z²) z + (z² - 1) (x dz/dx + z) = 0

(3 + z²) z + (z² - 1) x dz/dx + (z² - 1) z = 0

(z² - 1) x dz/dx = -(2z³ + 2z)

x dz/dx = (2z³ + 2z)/(1 - z²)

(1 - z²)/(2z (z² + 1)) dz = dx/x

Integrate both sides. On the left, split up the expression into partial fractions.

[tex]\dfrac{1-z^2}{z(z^2+1)} = \dfrac az + \dfrac{bz+c}{z^2+1}[/tex]

[tex]\dfrac{1-z^2}{z(z^2+1)} = \dfrac{a(z^2+1)+(bz+c)z}{z(z^2+1)}[/tex]

[tex]1-z^2 = (a+b)z^2 + cz + a[/tex]

for which we find a = 1, b = -2, and c = 0:

[tex]\dfrac{1-z^2}{2z(z^2+1)} = \dfrac12 \left( \dfrac1z - \dfrac{2z}{z^2+1} \right)[/tex]

Integrating and simplifying yields

1/2 ∫ (1/z - 2z/(z² + 1)) dz = ∫ dx/x

1/2 (ln|z| - ln(z² + 1)) = ln|x| + C

1/2 ln|z / (z² + 1)| = ln|x| + C

ln(√(z/(z² + 1))) = ln|x| + C

exp[ln(√(z/(z² + 1)))] = exp[ln|x| + C]

√(z/(z² + 1)) = exp[ln|x|] exp[C]

√(z/(z² + 1)) = Cx

z/(z² + 1) = Cx²

Replacing z = y/x then gives us an implicit solution of

(y/x) / (y²/x² + 1) = Cx²

xy / (y² + x²) = Cx²

y / (y² + x²) = Cx

y = Cx (y² + x²)

Cxy² - y + Cx³ = 0

though we can solve for y explicitly (assuming x > 0) using the quadratic formula to end up with

y = (1 + √(1 - Cx⁴))/(Cx)

(the other solution only differs by the sign on the square root)

A particular county with a population of 7.9 million people. In that county, an average of 96 people per year die by falling from a balcony each year.Assuming that these figures are current, what is the probability that a randomly selected individual from this country will die by falling from a balcony in a given year? Express your answer as a decimal rounded to 8 decimal places. Do not convert it to a percentage

Answers

Answer:

7.9000000÷96

=0.0822916667

MARK ME BRAINLIEST PLS I WILL GET A NEW RANK

có 100 công nhân sản xuất trong một ngày được 1200 đợn vị sản phẩm với tổng chi phí là 2400 USD

Answers

Answer:

4 better inbox

Step-by-step explanation:

Megan opened a savings account with a $500 deposit. The account pays 1.25% simple interest each year. If she neither adds nor withdraws money from the account, how much interest will she earn after 3 years? help​

Answers

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to 1.25\%\to \frac{1.25}{100}\dotfill &0.0125\\ t=years\dotfill &3 \end{cases} \\\\\\ I = (500)(0.0125)(3)\implies \boxed{I = 18.75}[/tex]

The radius of a cirdle is (x+ 4)cm. Find the area of the circle in
terms of the variable x Leave the answer in term of π

Answers

Answer:

50.24 cm

Step-by-step explanation:

50.24 cm

2

Explanation:

Using the formula,

Area

=

π

×

r

2

Here

π

is a button on your calculator you can find, but is also generally known as  

3.14

, you can use either one, but teachers usually prefer you use the  

π

button.

r

=

the radius, in your case, it's  

4 cm

So

Area

=

π

×

r

2

=

π

×

(

4 cm

)

2

=

16

π

 

cm

2

50.24 cm

2

convert into Improper fraction
4 3/4

Answers

Answer:

Improper fraction = 19/3

Step-by-step explanation:

To convert to improper fraction;

1.) multiply the denominator with the whole number,

2.) then add the number you got with the numerator (this will be you new numerator)

3.) keep the denominator the same for the new fraction

Hope this helps!

Hello!

--------------------------------------------------------------------------------------------------------------

4 3/4

First, we multiply the whole number by the denominator:

16

Then, we add the numerator:

19

19 is the numerator for our fraction.

Now, the denominator stays the same:

[tex]\frac{19}{4}[/tex] is our answer. Hope it helps you!

~SparklingFlower

--------------------------------------------------------------------------------------------------------------

solve the equation 3/4x - 5 = x give your answers correct to 2 decimal places

Answers

Answer:

3/4x - 5 = x

= -3/10 -> -0.15

2 Decimal places = 0.150

20 feel from the ground i need a ladder placed 15 feet from the house what is the length

Answers

Answer:

helooo

Step-by-p explanation:

What is the simplest fraction form of 0.030303

Answers

Step-by-step explanation:

1/33

1/3 is 0.33333....

1/30 is 0.03333...

1/300 is 0.003333...

and so on.

that was in the initial thought.

in oder to interrupt the 1/3=0.3333... series and interlace the 3s with 0s, I had to divide by 10, but also by further 10% (in total 11) of that to create a 0.0303 sequence.

I initially thought that I would have to add then 10% of that and then 10% if that, but no, the one step is sufficient.

so, it turned out to be 1/3 / 11 = 1/33.

Which expression is equivalent to 8^4 (8 to the 4th power)

Answers

Answer:

Step-by-step explanation:

8^4  is the same as 8·8·8·8

The exponent 4 means that 8 will be multiply by itself four time.

Answer:

4096

Step-by-step explanation:

hope this helps=)

7 1/2 sticks of butter are needed to make 5 cakes. How much butter is needed to make one cake?

Answers

Answer:

1 1/2

Step-by-step explanation:

because when you divide 7.5 by 5 you get 1.5

1 1/2 sticks each cake

It’s for pre college

Answers

Answer:

Step-by-step explanation:

y = mx + b for line through (7, 4) and perpendicular to -5x + 9y = - 71

perpendicular lines have negative reciprocal slopes

-5x + 9y = - 71

9y = 5x - 71

y = (5/9)x - 71/9

so a perpendicular line will have slope -9/5

y = (-9/5)x + b

plug in our desired point

4 = (-9/5)7 + b

4 = -63/5 + b

20/5 = -63/5 + b

b = 83/5

y = (-9/5)x + 83/5

5y = -9x + 83

Please help with the homework thanks

Answers

Answer:

1. 7

2. 8

3. 17 cars

4. 6 guppies

5. 54

6. 15 pencils

Step-by-step explanation:

Have a great day! Feel free to mark as brainliest! :)

brainy heart rate 190 per minute her heart rate is 70% of her MHR
what is target heart rate
70
120
133
190
217

Answers

Answer:

120

Step-by-step explanation:

trough dependent sarcasm

What is the area of the figure below?



16 square units
14 square units
10 square units
12 square units

Answers

The answerr is 12 square units
The answer is 12!

How do you get this answer?
start by counting the boxes there’s a total of six in the first rectangle and 6 on the other so 6+6= 12!!!
Just count the boxes and that’s it:)

1.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.

f(x) = (3x + 2)(−6x − 3)

A. linear function; linear term: −18x2; constant term: −6

B. quadratic function; quadratic term: 6x2; linear term: 24x; constant term: −6

C. linear function; linear term: −21x; constant term: −6

D. quadratic function; quadratic term: −18x2; linear term: −21x; constant term: −6

Answers

Answer:

D

Step-by-step explanation:

Got it right on test

Answer: The answer is letter B or letter D

D. quadratic function; quadratic term: −18x2; linear term: −21x; constant term: −6

Step-by-step explanation:  Find the degree of the function to determine if linear.  f ( x ) =  − 18 x 2 − 21 x − 6  is not a linear function

Expand the polynomial using the FOIL method.  f ( x ) =  − 18 x 2 − 21 x − 6

NEED HELP!! THANK YOU

Answers

Answer:

Expression: -7 + 8f - 2b - f + 3b + 6

# of Terms: 6

Like Terms: 8f and f, -2b and 3b, and -7 and 6

Coefficients: 8, 1, -2, and 3

Constants: -7 and 6

Expression: -11x + 4 + 8x - 4 + 3x

# of Terms: 5

Like Terms: -11x, 8x, and 3x & 4 and -4

Coefficients: -11, 8, and 3

Constants: 4 and -4

Step-by-step explanation:

The coefficient is the number in front of the variable.

The variable is any letter that you may see in an expression.

Terms are the numbers and variables, that are separated by the different signs.

Like terms are the terms that share the same variable/exponent.

Constants are the terms without variables.

Hope this helps you :)

Sorry if it's somehow wrong.

Helpppppppppppppppppppppppp

Answers

i’d say 21 and -1 :)
21 * -1 = -21
21 - 1 = 20

[tex]xy =-21~~.....(i)\\\\x+ y=20~~....(ii)\\\\\text{From equation (i):}\\\\xy = -21 \implies y = -\dfrac{21}x~~.....(iii)\\\\\text{Substitute y in equation (ii):}\\\\x - \dfrac{21}x = 20\\\\\implies x^2 -20x -21= 0\\\\\implies x^2 - 21x + x-21=0\\\\\implies x(x-21) +(x-21) =0\\\\\implies (x+1)(x-21)=0\\\\\implies x = -1 ~~\text{or}~~ x =21\\\\\text{Substitute x in equation (iii):}\\\\y = 21 ~~ \text{or}~~ y = -1\\\\\text{Hence,}~ (x,y)=(21,-1) ~~ \text{or}~~ (x,y) = (-1,21)[/tex]

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