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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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If x = (7+4√3), then the value of x^2 + 1/x^2 is​
Blizzard [7]

Answer:

194.

Step-by-step explanation:

x = (7+4√3)

x^2 =  x = (7+4√3)^2

= 49 + 48 + 56√3

= 97 + 56√3

x^2 + 1/x^2 =    97 + 56√3 + 1/(97 + 56√3)

= 194.

5 0
2 years ago
. 4/18 times 2/92. 1/9 times 3/63. 12/14 times 1/84.1/7 times 5/65. 17/20 times 1/61. 4 1/4 times 3 1/22. 3 5/6 times 4 1/23. 2
AlladinOne [14]

Answer:

Step-by-step explanation:

4/18×2/92

=1/9×1/23

=1/207

1/9×3/63

=1/3×1/23

=1/69

12/14×1/84

=1/14×1/7

=1/98

1/7×5/65

=1/7×1/13

=1/91

17/20×1/61

=17/1220

4 1/4 ×3 1/22

=17/4×67/22

=1,139/88

=12 83/88

3 5/6×4 1/23

=23/6×93/23

=93/6

=15 3/6

=15 1/2

2 1/2×4 7/84

=5/2×343/84

=1715/168

=10 35/168

I have answered more than 2 from each set

6 0
3 years ago
The perimeter of a rectangle is 72 in. The base is 3 times the height. Find the area of the rectangle
Dovator [93]

Answer:

243 in²

Step-by-step explanation:

Step 1. Calculate the<em> base and height </em>of the rectangle

We have two conditions:

(1)   2b+ 2h = 72 in

(2)           b = 3h               Substitute in (1)

2(3h) + 2h = 72               Remove parentheses

   6h + 2h = 72               Combine like terms

           8h = 72               Divide by 6

             h = 9 in             Substitute in(2)

             b = 3 × 9

             b = 27 in

Step 2. Calculate the area of the rectangle

A = bh

A = 27 × 9

A = 243 in²

The area of the rectangle is 243 in².

7 0
3 years ago
What conclusion can be made based on this multiplication problem?
Elena L [17]

Answer:

I believe it is twenty-one is 7 times the size of 3

Step-by-step explanation:

4 0
3 years ago
Find the measure of each angle indicated.
OLga [1]

Answer:

51

Step-by-step explanation:

See the other answer

6 0
3 years ago
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