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iragen [17]
2 years ago
6

A gardener wants to run a border around the outside of her garden. She plots it on a grid to plan how much she will need. The ga

rden is in the shape of a rectangle with vertices at (3, 9) (5, 9) (3, 3) (5, 3). Find the total length of border needed. 8ft 12ft 16ft 24ft

Mathematics
1 answer:
liberstina [14]2 years ago
8 0
1. To solve this exercise you must plot the vertices of the rectangle: (3,9);(5,9); (3,3); (5,3). The graph is shown in the figure attached.
<span>
 2. As you can see in the graph, the rectangle has 6 feet long  (L=6 feet) and 2 feet wide (W=2 feet).

 3. Then, the perimeter of the rectangle is:

 P=2L+2W

 4. When you substitute the values of "L" and "W" into </span>P=2L+2W<span>, you obtain:

 P=2(6 feet)+2(2 feet)
 P=12 feet+4 feet
 P=16 feet

 Therefore, the total length of border needed is 16 feet.</span>

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How do you solve m=10x-x for x
cricket20 [7]
<span>m=10x-x for x
first subtract x from 10x

m=9x
divide both sides by 9

m/9=x

x=m/9</span>
3 0
2 years ago
PLEASE ANSWER ASAP WILL MARK BRAINLIEST
katrin2010 [14]

Answer:

48 hats and 104 shirts

Step-by-step explanation:

These are the equations you build from the problem:

h + s = 152

8.50h + 12s = 1656

This is how I solved them:

s= 152-h

8.5h + 12(152-h) = 1656

8.5h + 1824 - 12h = 1656

Solve for h

h= 48

Put this into first equation (h +s = 152) to get s

8 0
2 years ago
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A single bacterium lands in your mouth and starts growing by a factor of 4 every hour. After how many hours will the number of b
Ierofanga [76]

Answer:

After 5 hours, the number of bacteria will be 1024

Step-by-step explanation:

1 times 4 = 4

4 times 4 = 16

16 times 4 = 64

64 times 4 = 256

256 times 4 = 1024

It will take around 5 hours to exceed 1000

8 0
1 year ago
Tony bought a $48 sweatshirt and used a coupon for a 10% discount. Keith bought an identical sweatshirt at a different store for
Westkost [7]
<h3>✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽</h3>

➷ final = original x multiplier

final = 48 x 0.9

final = 43.2

Tony paid $43.20

Subtract the two values:

43.2 - 42.95 = 0.25

Therefore, the correct option would be C. Keith paid $0.25 less than Tony paid

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ <u>ʜᴀɴɴᴀʜ</u> ♡

3 0
2 years ago
The heights of students at a college are normally distributed with a mean of 175 cm and a standard deviation of 6 cm. One might
frosja888 [35]

Answer:

25

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 175cm

Standard deviation = 6 cm

Percentage of students below 163 cm

163 = 175 - 2*6

So 163 is two standard deviations below the mean.

By the Empirical rule, 95% of the heights are within 2 standard deviations of the mean. The other 100-95 = 5% are more than 2 standard deviations of the mean. Since the normal distribution is symmetric, 2.5% of them are more than 2 standard deviations below the mean(so below 163cm) and 2.5% are more than two standard deviations above the mean.

2.5% of the students have heights less than 163cm.

Out of 1000

0.025*1000 = 25

25 is the answer

8 0
2 years ago
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