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umka21 [38]
2 years ago
11

A farmer needs to plant 180 tomato plants. He can plant 9 plants every 15 minutes.

Mathematics
1 answer:
vodomira [7]2 years ago
3 0

Answer:

52.94%

270 minutes

Step-by-step explanation:

1. 9 plants - 15 minutes

x plants - 75 minutes

Cross multiply

15x = 75 x 9

15x = 675

Divide both sides by 15

x = 675/15

x = 45 plants

45/85 x 100

= 52.94%

2. 90% of 180

= 90/100 x 180

= 162 plants

9 plants - 15 minutes

162 plants - x minutes

Cross multiply

9x = 162 x 15

9x = 2430

Divide both sides by 9

x = 2430/9

x = 270 minutes or 4 hours 30 minutes.

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Nwhat is the range of data set for 8 1 7 6 14
bazaltina [42]

Answer:

14-1=13 range= 13

Step-by-step explanation:

The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

4 0
3 years ago
A N S W E R Q U I C K P L E A S E
chubhunter [2.5K]

Answer:

1. A

2. D

3. D

Step-by-step explanation:

The standard form of a parabola is

y=\frac{1}{4p}(x-h)^2+k            ..... (1)

Where, (h,k) is vertex, (h,k+p) is focus and y=k-p is directrix.

1. The directrix of a parabola is y=−8 . The focus of the parabola is (−2,−6) .

k-p=-8                   ...(a)

(h,k+p)=(-2,-6)

k+p=-6            .... (b)

h=-2

On solving (a) and (b),  we get k=-7 and p=1.

Put h=-2, k=-7 and p=1 in equation (1).

y=\frac{1}{4(1)}(x-(-2))^2+(-7)

y=\frac{1}{4}(x+2)^2-7

Therefore option A is correct.

2 The directrix of a parabola is the line y=5 . The focus of the parabola is (2,1) .

k-p=5                   ...(c)

(h,k+p)=(2,1)

k+p=1            .... (d)

h=2

On solving (c) and (d),  we get k=3 and p=-2.

Put h=2, k=3 and p=-2 in equation (1).

y=\frac{1}{4(-2)}(x-(2))^2+(3)

y=-\frac{1}{8}(x-2)^2+3

Therefore option D is correct.

3. The focus of a parabola is (0,−2) . The directrix of the parabola is the line y=−3 .

k-p=-3                   ...(e)

(h,k+p)=(0,-2)

k+p=-2            .... (f)

h=0

On solving (e) and (f),  we get k=-2.5 and p=0.5.

Put h=0, k=-2.5 and p=0.5 in equation (1).

y=\frac{1}{4(0.5)}(x-(0))^2+(-2.5)

y=\frac{1}{2}(x)^2-2.5

y=\frac{1}{2}(x)^2-\frac{5}{2}

Therefore option D is correct.

5 0
2 years ago
What is the absolute value of the square root of 5 minus 5?
OLEGan [10]

-2.7639320225 is the exact when estimated -3 hope this helped if can pls mark as brainliest have a great day!

6 0
3 years ago
On a joint school visit, lan travels on his motor bike at an average speed of 24 km per
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Answer:

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Step-by-step explanation:

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I believe it is A or B
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