the Revenue for the week is $2000, and labor cost consists of two workers earning $8 per hour who work 40 hours each, what is labor cost as a percentage of Revenue?

Answers

Answer 1

Answer:

The value of labor cost as a percentage of Revenue is, 32%.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

We have to given that;

The Revenue for the week is $2000, and labor cost consists of two workers earning $8 per hour who work 40 hours each.

Now,

The total labor cost for 2 workers = 2 × 8 × 40

= $640

Hence, The value of labor cost as a percentage of Revenue is,

⇒ (640/2000) x 100

⇒ 64 / 2

⇒ 32%

Therefore, We get;

The value of labor cost as a percentage of Revenue is,

⇒ 32%

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Answer 2

Answer: revenue = $2000
labor cost per worker working 40 hrs = 8 . 40 = 320
for 2 workers = 640
as a % of revenue = ( 640 . 100)/2000 = 32%

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What is the probability of drawing a black card or a face card from a standard deck of 52 cards

Answers

26 black cards plus 12 face cards = 38 out of 52. About a 73% chance.

What's the answer ? .....

Answers

Answer:

B) 10m^3(m^3+2)

Step-by-step explanation:

Hope this helps

Answer: B.
Explanation: when you distribute 10m^3 and multiply it to just m^3, you add the exponents which would give you 10m^6 then 10m^3 multiplied by just 2 will give you 20m^3. Which all together will be the initial problem 10m^6+20m^3

Sarah is planning to spend a week at her friend’s summer house in Miami Beach. All meals will be provided by her friend’s parents, but Sarah still needs at least $500 to pay for her airfare and personal expenses for the week. She is selling bracelets and earrings to fund her trip. A graph representing this situation is shown below.Questions:
1.This region represents the combinations of bracelets and earrings that Sarah must sell in order to get a minimum of $500 profit to pay for her trip.
2.This region represents the area where Sarah sells a lot of earrings but not enough bracelets to reach her $500 goal.
3.This region represents the area where Sarah sells a lot of earrings but not enough bracelets to reach her $500 goal.

graph below ∨↓↓↓↓

Answers

Given:
x > 50
2x + 3y > 500

Bracelet is represented by x.
Earrings is represented by y.

Since x > 50 let us assume that x = 50 to get the value of y in the inequality equation.

2x + 3y > 500
2(50) + 3y > 500
100 + 3y > 500
-100    -100
3y > 400
  ÷3   ÷3
y   > 133 1/3

x > 50 ; y > 133 1/3

Let us assume that no bracelet was sold. x = 0 ; y =?

2x + 3y   > 500
2(0) + 3y   > 500
0 + 3y   > 500
÷ 3     ÷3
  y   > 166 2/3

Let us assume that no earrings was sold; y = 0 ; x = ?
2x + 3y   > 500
2x + 3(0) > 500
2x + 0 > 500
2x > 500
÷2   ÷2
x > 250

Let us assume that we sold have of each item.
x = 250/2 = 125 ; y = 166 2/3 ÷ 2 = 100

2x + 3y > 500
2(125) + 3(100) > 500
250 + 300   > 500
550   > 500

To get at least $500, Sarah needs to sell at least 100 bracelets and 100 earrings.

the first one is region 2 and the second is region 3 i think

Rico thinks of a number between 30 and 40 that is represented by x
.
•
This number,
x
, is
3
_
4
of another number, which is represented by
y
.
•
The number represented by
y
equals
1
_
3
of another number, which is
represented by
z
.
•
The number represented by
z
is a number from 140 to 151.
•
The numbers represented by
x
,
y
, and
z
are whole numbers.
(a)
What are the values for
x
,
y
, and
z
?

Answers

Hello,

x,y,z∈ IN

$x=(3)/(4)*y$
$y=(1)/(3)*z$

$140<z<151\ ==>\ (140)/(3)<(z)/(3)<(151)/(3)$
$46\leq\ y\ \leq\ 50 ==>\ (46*3)/(4)\leq(3y)/(4)\leq(50*3)/(4)$
$35\ \leq\ z\ \leq\ 37$ ==>
x∈{35,36,37}
y∈{47,48,49}
z∈{141,144,147}

We must go futher:

if x=35 then y=4*35/3=46.666 not good , not whole
if x=36 then y=4*36/3=48 ok
if x=37 then y=37*4/3=49.333.. not good

So there is only one solution (36,48,144) for (x,y,z)

No problem with z for z=3/1*4/3*x=4x ==>whole.

Karla is riding vertically in a hot air balloon, directly over a point P on the ground. Karla spots a parked car on the ground at an angle of depression of 30o. The balloon rises 50 meters. Now the angle of depression to the car is 35 degrees. How far is the car from point P?

Answers

Answer:

407 m

Step-by-step explanation:

Refer the attached figure

Karla spots a parked car on the ground at an angle of depression of 30° i.e. ∠BDP = 30°

Now the balloon rises 50 meters.i.e. AB = 50 m

So, the angle of depression to the car is 35 degrees. i.e.∠ADP = 35°

Let DP be the distance of the car prom point P

Let BP be x

In ΔBDP

$Tan\theta = (Perpendicular)/(Base)$

$Tan 30^(\circ) = (BP)/(DP)$

$(1)/(√(3))= (x)/(DP)$

$DP= (x)/((1)/(√(3)))$ --1

In ΔADP

$Tan\theta = (Perpendicular)/(Base)$

$Tan 35^(\circ) = (AP)/(DP)$

$0.70020= (50+x)/(DP)$

$DP= (50+x)/(0.70020)$ --2

So, equating 1 and 2

$(50+x)/(0.70020) = (x)/((1)/(√(3)))$

$(50+x)/(x) = (0.70020)/((1)/(√(3)))$

$(50+x)/(x) =1.21278$

$50+x =1.21278x$

$50 =1.21278x-x$

$50 =0.21278x$

$(50)/(0.21278)=x$

$x=234.982$

Substitute the value of x in 1

$DP= (234.982)/((1)/(√(3)))$

$DP= 407.0007$

Hence the car is at a distance of approximately 407 m from point P

We form 2 similar rt. triangles:

Triangle #1.
X = Hor. side = dist. from P to the car.
Yi = Ver. side.
A = 30o.

Triangle #2.
X = Hor. side = Dist. from P to the car.
Y2 = Y1+50 = Ver. side.
A = 35o.

Use aw of Sines.
sin30/Y1 = sin35/(Y1+50).
Cross multiply:
(Y1+50)sin30 = Y1*sin35
Y1/2+25 = 0.574Y1
Multiply both sides by 2:
Y1+50 = 1.148Y1
1.148Y1-Y1 = 50
0.148Y1 = 50
Y1 = 337.8 m.

tan30 = Y1/X = 337.8/X
X = 337.8/tan30 = 585 m. 714 feet away hope that helps if not tell me.

If a certain medicine cures 90% of the people who take it, what is the probability that if 9 people take the medicine that 6 will be cured?A) 0.01
B) 0.02
C) 0.04
D) 0.33

Answers

This is an example of binomial distribution probability. The probability that a person gets cured by the medicine (p) is 90% or 0.9. The probability that a person does not get cured by the medicine (q) is 100 - 90 = 10% = 0.1. The probability of a binomial distribution is given by nCx (p)^x (q)^(n - x); where n is the sample size, x is the number of success, p is the probability of success, and q is the probability of failure. Therefore, the probability that out of 9 people that takes the medicine, 6 will be cured is given by 9C6 (0.9)^6 (0.1)^3 = 84 x 0.531441 x 0.001 = 0.0446. Therefore, option C (0.04) is the correct answer.

option C (0.04) is the correct answer

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