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Grace [21]
3 years ago
8

A rectangle has a perimeter of 204 feet. It's length is six feet longer than twice it's width. If L stands for the length of the

rectangle and W stands for its width, write a system of equations that models the information given in this problem and solve it to find the length and width of this rectangle
Mathematics
1 answer:
Ratling [72]3 years ago
7 0

Answer:

L = 70

W = 32

Step-by-step explanation:

P = 2L + 2W

P 204 feet

W = x

L  = 2x + 6

P = 2L + 2W

P = 2*(2x + 6) + 2*x

P = 4x + 12 + 2x

P = 6x + 12

But we know that P = 204  So 6x + 12 = 204

6x + 12 = 204                    Subtract 12 from both sides

6x + 12 - 12 = 204 - 12       Collect like terms on the right

6x = 192                             Divide by 6

x = 192/6

x = 32

Answer

W = 32

L = 2*W + 6

L = 2*32 + 6

L = 64 + 6

L = 70


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vazorg [7]

Answer:

I believe it's the 3rd option:

(-1, 8), (0, 10), (1,12), (2, 14)

Step-by-step explanation:

3 0
2 years ago
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(a) Estimate the area under the graph of f(x) = 2 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right end
nirvana33 [79]
  <span>first, we are going to define variables as the following: 

a = 0 
a = π/2 
n = 4 rectangles 

Δx = [ b - a ] / n ------>Δx = [ π/2 - 0 ] / 4 = π/8 

right endpoints : 
sum( seq( 4 cos(x) * π/8 , x , 0+π/8 , π/2 , π/8 ) ) = 3.163065 underestimate 

left endpoints: 
sum( seq( 4 cos(x) * π/8 , x , 0 , π/2-(π/8) , π/8 ) ) = 4.733861 overestimate 

the reason because the actual estimate by integral as the following: 
π/2 
∫ 4cos(x) dx = 4 
0</span>
8 0
3 years ago
Use the normal distribution of SAT critical reading scores for which the mean is 502 and the standard deviation is 116. Assume t
PSYCHO15rus [73]

Answer:

(a) 93.19%

(b) 267.3

Step-by-step explanation:

The population mean and standard deviation are given as 502 and 116 respectively.

Consider, <em>X</em> be the random variable that shows the SAT critical reading score is normally distributed.

(a) The percent of the SAT verbal scores are less than 675 can be calculated as:

P(X

Thus, the required percentage is 93.19%

(b)

The number of SAT verbal scores that are expected to be greater than 575 can be calculated as:

P(X>575)=P(\frac{x-502}{116}>\frac{575-502}{116}\\P(X>575)=P(Z>\frac{575-502}{116})\\P(X>575)=P(Z>0.6293)\\P(X>575)=0.2673

So,

Out of 1000 randomly selected SAT verbal scores, 1000(0.2673) = 267.3 are expected to have greater than 575.

8 0
2 years ago
Which list of ordered pairs does NOT represent a function? A.(8, 80), (6, 80), (3, 80), (7, 80), (5, 80) B. (7, 80), (6, 60), (5
olga_2 [115]

Answer:

A

Step-by-step explanation:

Because they want you to see the number who is repeating like 80 in the later A is 4 times repeated. I hope it help

3 0
2 years ago
Whats 4485 square feet of grass in 3/4 of an hour. How many square feet of grass can be fertilized per hour
alex41 [277]
4485 square feet of grass ... 3/4 of an hour
x square feet of grass = ? ... 1 hour

If you would like to know how many square feet of grass can be fertilized per hour, you can calculate this using the following steps:

4485 * 1 = 3/4 * x
4485 = 3/4 * x       /*4/3
x = 4485 * 4 / 3
x = 5980 square feet

Result: 5980 square feet of grass can be fertilized in one hour.
7 0
3 years ago
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