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3 years ago

Lee Jenkins worked the following hours as a manager for a local Pizza Hut: 67, 9,6 and 8 How many total hours did Lee

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

8 0

Answer:

90 hours

Step-by-step explanation:

67 + 6 + 9 + 8 = 90 hours

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A rectangular parcel of land has an area of 3,000 ft2. A diagonal between opposite corners is measured to be 10 ft longer than o

Kazeer [188]

Answer:

40 ft × 75 ft

Step-by-step explanation:

Let x be the one side ( in feet ) of the rectangular parcel,

So, the diagonal between opposite corners = ( x + 10 ) feet,

Let y be the other side of the rectangle ( adjacent to side x ),

The area of the rectangle,

A = x × y,

According to the question,

A = 3000 square ft,

$\implies xy = 3000\implies y=\frac{3000}{x}$

∵ In a rectangle,

$D^2=a^2+b^2$

Where, a and b are the adjacent side of the rectangle and D is the diagonal,

$(x+10)^2 = x^2 + y^2$

$(x+10)^2 = x^2 + \frac{9000000}{x^2}$

$x^2(x+10)^2 = x^4 + 9000000$

$x^2(x^2+100+20x) = x^4 + 9000000$

$x^4+100x^2 + 20x^3 = x^4 + 9000000$

$20x^3 + 100x^2 - 9000000=0$

$x^3 + 5x^2 - 450000 = 0$

By graphing the equation,

We found that,

The only real zeros of the equation is at x = 75,

Hence, the one side of the rectangle = 75 ft,

And, second side = $\frac{3000}{75}$ = 40 ft

Hence, the dimension of the land is 40 ft × 75 ft

3 0

2 years ago

Read 2 more answers

What is the value of x in the equation? 3x12-7 4 A) B) 1 C) 13 D)

kipiarov [429]

Answer:

TNX ME LATER again HAHA JWK

5 0

3 years ago

PLEASE HELP!!!!! Lines BC and EF meet at A. Set up an equation to find the value of x. Find the measurements of EAH and HAC

allsm [11]

Answer:

Value of X = 21

EAH = 63

HAC = 84

Step-by-step explanation:

6 0

2 years ago

Mr. Mandel gave his class 12 minutes to read. 5 1/2 pages in that time. At what rate, in pages per hour, did Claire read?

Eva8 [605]

5 1/2 pages in 12 minutes.
11/2 pages in 12 minutes

How many pages in an hour?
well, an hour has 60 minutes

Let's write a proportion
11/2 / 12 = x/60
cross multiply
(11/2 * 60) = 12x
330 = 12x
divide both sides by 12
27.5 or 27 1/2 = x

27.5 pages per hour.

Hope this helps

8 0

3 years ago

Of people who died in the United States in a recent year, 86% were white, 12% were black, and 2% were Asian. (We will ignore the

Marianna [84]

Answer:

To three decimal place = 0.030

Step-by-step explanation:

Let probability of death in white p (WH) = 86%

Let probability of death in black p(B) =12%

Let probability of death in Asian p(A) = 2%

Probability of death caused by diabetes among white will be 2.8% of p (WH) = 0.86 x 0.028 = 0.02408

Probability of death caused by diabetes among black will be 4.4% of p (B) = 0.12 x 0.044 = 0.00528

Probability of death caused by diabetes among Asian will be 3.5% of p (A) = 0.02x 0.035 = 0.0007‬

If a sample is chosen and the cause is diabetes then the probability will be

Probability of death caused by diabetes among white or Probability of death caused by diabetes among black or Probability of death caused by diabetes among Asian

0.02408 +0.00528 +0.0007 = 0.03006

To three decimal place = 0.030

5 0

3 years ago