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Paladinen [302]
3 years ago
6

How do i write 11 5/8 as an improper fraction

Mathematics
2 answers:
FinnZ [79.3K]3 years ago
8 0
11 5/8 as a improper fraction 

1) Simplify Fraction 
⇒ Multiply denominator with whole number
8 x 11 = 88

⇒ Answer of multiplication and add the numerator 
88 + 5 = 93 

93/8 is improper Fraction. 


butalik [34]3 years ago
4 0
You can start looking at the fraction, the denominator is 8 so therefore a singular whole number would be 8/8. That first 8, the numerator, is one of the 11 whole numbers so if you multiply the numerator alone by 11 you get 88/8, carrying over the extra 5 you get 93/8
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An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation ℎ(
maw [93]
  1. The irrigation system is positioned 9.5 feet above the ground to start.
  2. The spray reaches a maximum height of <u>84.5 feet</u> at a horizontal distance of <u>5 feet</u> away from the sprinkler head.
  3. The spray reaches all the way to the ground at about 10.87 feet away​

<h3>How to determine the position?</h3>

Since the height (feet) of the spray of water is given by this equation h(x) = -x² + 10x + 9.5, we can logically deduce that the irrigation system is positioned 9.5 feet above the ground to start.

<h3>How to determine the maximum height?</h3>

For any quadratic equation with a parabolic curve, the axis of symmetry is given by:

Xmax = -b/2a

Xmax = -10/2(-1)

Xmax = 5.

Thus, the maximum height on the vertical axis is given by:

h(x) = -x² + 10x + 9.5

h(5) = -(5)² + 10(5) + 9.5

h(5) = -25 + 50 + 9.5

h(5) = 34.5 feet.

Therefore, the spray reaches a maximum height of <u>84.5 feet</u> at a horizontal distance of <u>5 feet</u> away from the sprinkler head.

Also, the spray reaches all the way to the ground at about:

Maximum distance = √34.5 + 5

Maximum distance = 10.87 feet.

Read more on maximum height here: brainly.com/question/24288300

#SPJ1

<u>Complete Question:</u>

An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation h(x) = -x² + 10x + 9.5, where x is the number of feet away from the sprinkler head (along the ground) the spray is.

1. The irrigation system is positioned____ feet above the ground to start.

2. The spray reaches a maximum height of ____feet at a horizontal distance of feet away from the sprinkler head.

3. The spray reaches all the way to the ground at about_____ feet away​

8 0
2 years ago
-a + 28 = 14 solve for a
pochemuha

Answer:

a = 14

Step-by-step explanation:

28[-14]=14;

-14

5 0
3 years ago
Read 2 more answers
The average monthly mortgage payment including principal and interest is $982 in the united states. if the standard deviation is
Aleonysh [2.5K]
The probability that the monthly payment is more than $1000 will be found as follows;
The payment is normally distributed, thus the z-score will be given by:
Z-score=(x-Mean)/(SD)
Mean=$982
SD=$180
Thus;
Z-score=(1000-982)/180=0.1
The probability associated with a z-score of 0.1 is 0.5398
Thus the probability that the monthly payment is more than $1000 will be:
P(x<1000)=1-0.5398=0.4602=46.02%
 
5 0
3 years ago
A certain bamboo plant grows 1.2 feet in one day. At that rate, how many feet could the plant grow in 0.5 day?
Rainbow [258]

Answer:

0.6 feet in half a day

Step-by-step explanation:

If it grows 1.2 feet in 1 full day, then half of that 1.2÷2=0.6

5 0
2 years ago
A group of 100 people, some students, and some faculty attended a museum opening. Each student paid $10 per person for entrance
slava [35]

Answer: 80

Step-by-step explanation:

Let the number of students be represented by x

Let the number of faculty be represented by y.

Based on the information in the question, we can form an equation which will be:

x + y = 100 ..... i

10x + 25y = 1300 ....... ii

From equation i,

Make y the subject of the formula

y = 100 - x ...... iii

Put the value of equation iii into ii

10x + 25y = 1300

10x + 25(100 - x) = 1300

10x + 2500 - 25x = 1300

10x - 25x = 1300 - 2500

-15x = -1200

x = 1200/15

x = 80

There were 80 students who attended the museum opening

5 0
3 years ago
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