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Burka [1]
3 years ago
10

Mike wants to fence in part of his backyard. He wants the length of the fenced-in area to be at least 20 feet long, l ≥ 20. He h

as 200 feet of fencing. The inequality that models the possible perimeter of the yard is 2l + 2w ≤ 200.
Which are possible dimensions for Mike’s backyard? Check all that apply.
Mathematics
1 answer:
quester [9]3 years ago
5 0
W = 10 ft; l = 50 ft is Correct

w = 90 ft; l = 30 ft is Correct

w = 50 ft; l = 40 ft is Correct
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The sum of a number and its square is 42. Which equation can be used to find the two numbers for which this is true?
tankabanditka [31]

Answer:

x² + x = 42

Step-by-step explanation:

Let the number be x then the square of this number is x²

Sum and equate to 42, that is

x² + x = 42

6 0
2 years ago
Boden's account has a principal of $700 and a simple
pashok25 [27]

Answer:

823.2

Step-by-step explanation:

Interest = 700 × 4.4/100 × 4 = 123.2

Balance = Principle + interest

700 + 123.2 = 823.2

Answer - 823.2

Hope this helps!!!

3 0
2 years ago
If 1200 cm2 of material is available to make a box with a square base and an open top, find the largest possible volume of the b
Colt1911 [192]

Answer:

The largest possible volume V is ;

V = l^2 × h

V = 20^2 × 10 = 4000cm^3

Step-by-step explanation:

Given

Volume of a box = length × breadth × height= l×b×h

In this case the box have a square base. i.e l=b

Volume V = l^2 × h

The surface area of a square box

S = 2(lb+lh+bh)

S = 2(l^2 + lh + lh) since l=b

S = 2(l^2 + 2lh)

Given that the box is open top.

S = l^2 + 4lh

And Surface Area of the box is 1200cm^2

1200 = l^2 + 4lh ....1

Making h the subject of formula

h = (1200 - l^2)/4l .....2

Volume is given as

V = l^2 × h

V = l^2 ×(1200 - l^2)/4l

V = (1200l - l^3)/4

the maximum point is at dV/dl = 0

dV/dl = (1200 - 3l^2)/4

dV/dl = (1200 - 3l^2)/4 = 0

3l^2= 1200

l^2 = 1200/3 = 400

l = √400

I = 20cm

Since,

h = (1200 - l^2)/4l

h = (1200 - 20^2)/4×20

h = (800)/80

h = 10cm

The largest possible volume V is ;

V = l^2 × h

V = 20^2 × 10 = 4000cm^3

4 0
2 years ago
Jenny owns a salon. She had 150 customers at the end of the third quarter, 151 customers at the beginning of the third quarter,
Ira Lisetskai [31]

There is a 96% customer retention rate for the third quarter.

Given

Jenny owns a salon.

She had 150 customers at the end of the third quarter, 151 customers at the beginning of the third quarter, and five new customers in the third quarter.

<h3>Customer retention rate</h3>

It determines the percentage of customers that the company has retained over a given period.

The customer retention rate is determined by;

\rm Customer \ retention \ rate=\dfrac{Given \ period -New \ customers}{Initial \ number}\times 100

Substitute all the values in the formula;

\rm Customer \ retention \ rate=\dfrac{Given \ period -New \ customers}{Initial \ number}\times 100\\\\\rm Customer \ retention \ rate=\dfrac{150-5}{151}\times 100\\\\ Customer \ retention \ rate=\dfrac{145}{151}\times 100\\\\ Customer \ retention \ rate=0.96 \times 100\\\\ Customer \ retention \ rate=96

Hence, there is a 96% customer retention rate for the third quarter.

To know more about customer retention rate click the link given below.

brainly.com/question/25668470

7 0
2 years ago
Find the equation that going through these points.<br><br>urgent!! will give the brainliest​
vampirchik [111]

Answer:

The correct answer is y = -3x + 1.

Step-by-step Explanation:

First, you need to use the point slope formula to determine the slope. This is determined by the formula of the second y-coordinate (the y-coordinate in the second ordered pair) minus the first y-coordinate (the y-coordinate in the first ordered pair).

When subtracting the two values, you receive 7 - -5. You would use the KCC (keep, change, change) rule and keep positive 7, change the minus to addition, and turn negative 5 into positive 5. This gives you a value of 12.

Then, you use the same formula layout for the x-coordinates. Take the x-coordinate in the second ordered pair and subtract the x-coordinate in the first ordered pair to get -2 - 2 = -4.

Finally, to determine the slope, divide 12 and -4 to get -3.

Then, to get the y-intercept placed at the end, you will need to substitute the coordinate values from one of the ordered pairs into the equation y = -3x + b. I chose to use the first ordered pair, so:

-5 = -3(2) + b (Multiply the slope by x to earn the new value)

-5 = -6 + b (Add the -6 to the -5 to isolate the b)

1 = b (b = 1) (Learn that b = 1)

Your final equation will be y = -3x + 1.

8 0
3 years ago
Read 2 more answers
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