$15 per hour is the basic rate at a factory. After a 48 hour basic work week, overtime is paid time and a half. If no one worked overtime and the factory paid $15840 in wages one week how many workers are in the factory

Answers

Answer 1

There are 22 workers are available in the factory.

What is Wages?

Wages is the payment for work based on hours worked (or sometimes per day or per amount of work done).

Here, Let the number of workers in the factory be x.

         Basic rate = $15

    Working hours in a week  = 48 hours

     Total wages in a week = $ 15840

If no overtime is to be paid then according to question,

   Amount paid to 1 worker = 48 X 15 = $ 720

  Amount paid to x worker = 720x

                 15840 = 720x

                    x = 15840/720

                    x = 22

Thus, There are 22 workers are available in the factory.

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Related Questions

Ali"s dog weighs 8 times more than her cat. Together the animals weigh 54 lbs. How much does Ali's dog weigh?​

Answers

Answer:

48 lbs

Step-by-step explanation:

say that the cat weighs x pounds. then the dog weighs 8x pounds. together they weigh 54 pounds. So our equation is x+8x=54. solve for x to get the cat's weight, and you get x=6. The cat weighs 6 lbs. all I need to do now is multiply 6 by 8 so this the dog weighs 8 times as much as the cat. 8•6=48. the dog weighs 48 pounds.

what is the increase of y=26(0.904)x

Answers

It’s always increasing

d+fg=h (solve for the variable “g”)

Answers

Answer:

g = h/f - d/f

Step-by-step explanation:

PLEASE ANSWER ASAP, ANYONE WHO WRITES A LEGITIMATE ANSWER WITHIN THE NEXT 10 MIN GET BRAINLIEST!!

write an equation of the line that passes through point P and is parallel to the line with the given equation P(-1, 3), y=4x-2)

Answers

Answer:2 then 8

Step-by-step explanation:wowowowowowow

How do we shift the graph of y=f(x) to get the graph of y = f(x) +5?
A Move the graph down by 5 units.
B Move the graph up by 5 units.

Answers

Answer:

B, Up 5 units

Step-by-step explanation:

because of the +

Hank draws a line with a zero slope through the points
(–2, 4) and (3, b). Which value of b could represent Hank’s second point?
–3
–1
4
9

Answers

Answer:

b=4

Step-by-step explanation:

Since the line has a slope of zero, it's a horizontal line. A horizontal line so have the same y axis bc it passes through the y axis. So in this case the coordinate point is (-2,4) and it has a zero slope so you can assume that b= 4 since it has a zero slope.

Answer: C=4

Got this answer right hit the heart button if this helped or comment and let me know if this helped you : ) have a great day!

Write in slope intercept form:
(-4,6) slope= -3/4

Answers

Answer:

y=-3/4x+0

Step-by-step explanation:

Does the following relation represent a function?
{(14, 15), (5, 7), (3, 10), (11, 1), (5,8)]
Yes
O No
Pls help soon

Answers

Answer: This is not a function.

Step-by-step explanation: A function CANNOT have a repeating x-value.

rewrite 2-2/3x=3/4 so it does not have fractions.

Answers

Answer:

I'm guessing you convert to decimals?

2-0.666666667x=0.75

Let me know if that is wrong

Stay Safe,

evancorral7

Please help I’m in a hurry

Answers

Answer:

I believe it is A 20,

however id wait for another answer to confirm lol

A cause I believe and I am right

The mean life of a television set is 138 months with a variance of 324. If a sample of 83 televisions is randomly selected, what is the probability that the sample mean would be less than 143.4 months

Answers

Answer: 0.9968

Step-by-step explanation:

Let [tex]\overline{X}[/tex] be the sample mean life of television.

Given: [tex]\mu=138,\ \ \ \sigma^2=324\Rightarrow\ \sigma=\sqrt{324}=18,\ \ \ , n=83[/tex]

The probability that the sample mean would be less than 143.4 months will be :

[tex]P(\overline{X}<143.4)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{143.4-138}{\dfrac{18}{\sqrt{83}}})\\\\=P(Z<2.733)=0.9969\ \ \ [\text{By p-value table}][/tex]

hence, the required probability = 0.9968

A recipe for salad dressing calls for 3 teaspoons of oil for every 2 tablespoons of vinegar

Answers

Answer:

6

Step-by-step explanation:

Answer:

1,1.5 is the answer

Step-by-step explanation:

P(x)= - 4x + 2,800x - 400

Answers

What am I suppose to help you with this simplify this???

Is a true statement? |-9|=-9

Answers

this is a false statement. The absolute value is the distance away from 0 therefor the absolute value of -9 would be positive 9.

katie has $120 on her cafeteria cardka. everytime she orders a meal , $4.50 is deducted from the

Answers

Answer:

120-4.50 = 115.10

Step-by-step explanation:

She will have $115.10 left if she buys one mean

Or if your question is how many meals can she get before she runs out of money in her account- your answer is 26 meals. 4.50*26= 117 so she would have $3 left over and not enough to buy her one more meal

A zoo has 96 chickens and ducks altogether.
The ratio of the number of chickens to the
number of ducks is 53. How many chickens
does the zoo have?

Answers

Answer:

The zoo has 43 chickens.

Step-by-step explanation:

I did the math. Teehee ur welcome :)

Twice the difference of a number and 7 is at least 18

Answers

Answer: n=16

Step-by-step explanation:2(n-7) = 18  

n - 7 = 9  

+7    +7

Answer:

2(x-7) 18

2x - 7 18

     +7    +7

2x 25

2       2

x 12.5

Check

2((12.5) -7) 18

2(5.5) 18

11 18

I think this works

4276 divided by 16. I need answers

Answers

Answer:

267.25

Step-by-step explanation:

4276/16=267.25

Choose the graph of y < -x^2 + 4x + 5


edge2020

Answers

First one the one that has the blue inside

In the diagram, c | d . Identify three numbered angles that have a measure of 124°.
2.
34
5
124°
d
7
8
<2. < 7 and <1
<2. <4 and <1
<3. <7, and <4
<2. <3 and <7

Answers

Answer:

Option (4)

Step-by-step explanation:

From the figure attached,

Lines 'c' and 'd' are the parallel lines a transversal line is intersecting these lines.

m∠2 = 124° [Corresponding angles]

m∠7 = 124° [Vertically opposite angles]

m∠2 = m∠3 = 124° [Vertically opposite angles]

Therefore, angles ∠2, ∠7 and ∠3 measure 124°.

Option (4) will be the answer.

Find the area of the surface. The part of the paraboloid z = 1 - x2 - y2 that lies above the plane z = -6 ​

Answers

Answer:

π/6 [(29)^³/₂ − 1]

81.247

Step-by-step explanation:

Surface area is:

S = ∫∫ √(fₓ² + fᵧ² + 1) dA

The partial derivatives are:

fₓ = -2x

fᵧ = -2y

Substituting:

S = ∫∫ √(4x² + 4y² + 1) dA

To make this easier, we can convert to polar coordinates.

S = ∫∫ √(4r² + 1) dA

S = ∫∫ √(4r² + 1) r dr dθ

S = ⅛ ∫∫ 8r √(4r² + 1) dr dθ

The limits for θ are 0 to 2π.  The minimum of r is 0.  The maximum of r is:

-6 = 1 − x² − y²

-6 = 1 − r²

r² = 7

r = √7

Integrating the first integral:

S = ⅛ ∫ ⅔ (4r² + 1)^³/₂ |₀ᴿ dθ

S = ⅛ ∫ [⅔ (4(7) + 1)^³/₂ − ⅔ (4(0) + 1)^³/₂] dθ

S = ⅛ ∫ [⅔ (29)^³/₂ − ⅔] dθ

S = ¹/₁₂ [(29)^³/₂ − 1] ∫ dθ

Integrating the second integral:

S = ¹/₁₂ [(29)^³/₂ − 1] θ |₀²ᵖⁱ

S = ¹/₁₂ [(29)^³/₂ − 1] (2π − 0)

S = π/6 [(29)^³/₂ − 1]

S ≈ 81.247

The area of a shape is the amount of space it covers.

The surface area is approximately 81.3 unit squares

The given parameters are:

[tex]\mathbf{z = 1 - x^2 - y^2}[/tex]

[tex]\mathbf{z = -6}[/tex]

Calculate the partial derivatives of [tex]\mathbf{z = 1 - x^2 - y^2}[/tex]

[tex]\mathbf{f_x = -2x}[/tex]

[tex]\mathbf{f_y = -2y}[/tex]

So, the surface area is:

[tex]\mathbf{A = \int\limits^a_b\int\limits^a_b {\sqrt{(f_x^2 + f_y^2 +1 )}} \, dA }[/tex]

So, we have:

[tex]\mathbf{A = \int\limits^a_b\int\limits^a_b {\sqrt{((-2x)^2 + (-2y)^2 +1 )}} \, dA }[/tex]

[tex]\mathbf{A = \int\limits^a_b\int\limits^a_b {\sqrt{(4x^2 + 4y^2 +1 )}} \, dA }[/tex]

Factor out 4

[tex]\mathbf{A = \int\limits^a_b\int\limits^a_b {\sqrt{(4(x^2 + y^2) +1 )}} \, dA }[/tex]

Substitute

[tex]\mathbf{r^2 = x^2 + y^2}\\\mathbf{dA = rdr d\theta}[/tex]

So, we have:

[tex]\mathbf{A = \int\limits^a_b\int\limits^a_b {\sqrt{(4r^2 +1 )}} \, r\ dr\ d\theta }[/tex]

Multiply by 1

[tex]\mathbf{A = \int\limits^a_b\int\limits^a_b {\sqrt{(4r^2 +1 )}} \, r \times 1\ dr\ d\theta }[/tex]

Express 1 as 8/8

[tex]\mathbf{A = \int\limits^a_b\int\limits^a_b {\sqrt{(4r^2 +1 )}} \, r \times \frac{8}{8}\ dr\ d\theta }[/tex]

Rewrite as:

[tex]\mathbf{A =\frac{1}{8} \int\limits^a_b\int\limits^a_b {8r \sqrt{(4r^2 +1 )}}, \ dr\ d\theta }[/tex]

From the question,

[tex]\mathbf{z = -6}[/tex]

So, we have:

[tex]\mathbf{1 - r^2 = -6}[/tex]

Add 6 to both sides

[tex]\mathbf{7 - r^2 = 0}[/tex]

So, we have:

[tex]\mathbf{r^2 = 7}[/tex]

Integrate [tex]\mathbf{A =\frac{1}{8} \int\limits^a_b\int\limits^a_b {8r \sqrt{(4r^2 +1 )}}, \ dr\ d\theta }[/tex]

[tex]\mathbf{A =\frac{1}{8} \int\limits^a_b {\frac{8}{12} (4r^2 +1 )^{\frac 32}}, |\limits^R_0 d\theta }[/tex]

[tex]\mathbf{A =\frac{1}{8} \times \frac{8}{12} \int\limits^a_b { (4r^2 +1 )^{\frac 32}}, |\limits^R_0 d\theta }[/tex]

[tex]\mathbf{A =\frac{1}{12} \int\limits^a_b { (4r^2 +1 )^{\frac 32}}, |\limits^R_0 d\theta }[/tex]

[tex]\mathbf{A =\frac{1}{12} \int\limits^a_b { (4r^2 +1 )^{\frac 32} -(4 \times 0^2 +1 )^{\frac 32} }, d\theta }[/tex]

Substitute [tex]\mathbf{r^2 = 7}[/tex]

[tex]\mathbf{A =\frac{1}{12} \int\limits^a_b { (4\times 7 +1 )^{\frac 32} - 1^{\frac 32}}, d\theta }[/tex]

[tex]\mathbf{A =\frac{1}{12} \int\limits^a_b {29^{\frac 32} - 1}, d\theta }[/tex]

Rewrite as:

[tex]\mathbf{A =\frac{1}{12} (29^{\frac 32} - 1), \int\limits^a_b d\theta }[/tex]

Integrate

[tex]\mathbf{A =\frac{1}{12} (29^{\frac 32} - 1), \times \theta |\limits^{2\pi}_0}[/tex]

So, we have:

[tex]\mathbf{A =\frac{1}{12} (29^{\frac 32} - 1), \times (2\pi - 0) }[/tex]

[tex]\mathbf{A =\frac{1}{12} (29^{\frac 32} - 1), \times 2\pi}[/tex]

Rewrite as:

[tex]\mathbf{A =\frac{2\pi}{12} (29^{\frac 32} - 1)}[/tex]

[tex]\mathbf{A =\frac{\pi}{6} (29^{\frac 32} - 1)}[/tex]

[tex]\mathbf{A =81.3}[/tex]

Hence, the surface area is approximately 81.3 unit squares

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Paige mows
1
4
acre in
1
2
hour. How many acres does Paige mow per hour?

Answers

Answer:

1.16

Step-by-step explanation:

you have to divide 14 by 12 since the amount of acres mowed in 12 hours is how much acres she's mowed.

3/2926 how much is it

Answers

Answer:0.00102529049

Step-by-step explanation: Use a calculator >:) EX clap.

Answer:

0.001025290498975

Step-by-step explanation:

which of the following should one consider when choosing a career?​

Answers

Answer:

all of the above

have a good day keep working

Evaluate −b2−2bx2−x when x=−2.

Answers

The answer...... is 6x+2

An expression is defined as a set of numbers, variables, and mathematical operations. The value of −b²−2bx²−x when the value of x=-2 is −b²−8b + 4.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of the expression −b²−2bx²−x will be,

−b² − 2bx² − x

= − b² − 2b(-2)² − (-2)

= − b² − 8b + 4

Hence, the value of −b²−2bx²−x when the value of x=-2 is −b²−8b + 4.

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identify the coefficients 7p - 3r + 6 - 5s

Answers

Answer:

7, -3, and -5 are coefficients.

Step-by-step explanation:

Answer:

The leading coefficient is 7

Suatu ketika Pak Veri membeli dua karung beras untuk kebutuhan hajatan di rumahnya setelah dibawa pulang istri Pak Veri merasa beras yang dibeli kurang kemudian Pak Veri membeli lagi sebanyak 5 kg Nyatakan bentuk aljabar dari beras yang dibeli Pak Veri​

Answers

Menjawab:

2k + 5

Penjelasan langkah demi langkah:

Mengingat bahwa:

Pembelian pertama:

Karung beras yang dibeli = 2

Tambahan kg beras yang dibeli = 5kg

Misalkan banyaknya kg dalam satu karung beras = k

Karenanya,

Pembelian pertama + pembelian tambahan

2k + 5

Oleh karena itu, ungkapan aljabar untuk Beras yang dibeli oleh Pak Veri dalam kg:

2k + 5

k diberikan dalam kg

A=4 b= -5 and c=-8
HELLPPPPPP

Answers

-13:)

Hope this helps
I got -3.

since b = -5, that cancels out the negative and makes b=5.

5+-8 is -3.

5. Wnte a rational number
between 6 and 7.

Answers

Answer:

6.2

Step-by-step explanation:

decimals are rational numbers so you could do 6.2

The shop sold 12,789 chocolate and 9,324 cookie dough cones. It sold 1078 more peanut butter cones than cookie dough cones. And 999 more vanilla than chocolate cones. What was the total number of ice cream cones sold?

Answers

Answer:

46,303

Step-by-step explanation:

12789+9324+9324+1078+12789+999= 46,303

The total number of ice-cream sold was 46,303 as the shop sold 12,789 chocolate and 9,324 cookie dough cones. It sold 1078 more peanut butter cones than cookie dough cones that means 10,402 peanut butter cones and 999 more vanilla than chocolate cones that means 13,788 vanilla cone.

What is total?

Total refers to an entire or complete amount, and the verb "to total" means to combine two numbers or to destroy something. In mathematics, you add numbers to get the total; the outcome is the total. The result of adding 8 and 8 is 16. A total is the sum of several numbers or the number of items in a group, as determined by addition or counting. Total is referred to as the total or overall sum. The final amount for dinner on a check serves as an illustration of a total.

Here,

number of chocolate cone=12,789

number of cookie dough cone=9,324

peanut butter cone=9,324+1,078=10,402

vanilla cone=12,789+999=13,788

Total sum= number of chocolate cone + number of cookie dough cone+ peanut butter cone+ vanilla cone

=12,789+9,324+10,402+13,788

=46,303 ice-cream cones

The shop sold 12,789 chocolate and 9,324 cookie dough cones, for a total of 46,303 scoops of ice cream. It sold 999 more vanilla than chocolate cones, which translates to 13,788 vanilla cones, and 1078 more peanut butter than cookie dough cones, or 10,402 peanut butter cones.

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