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d1i1m1o1n [39]
3 years ago
5

Lucas wants to put soil in his garden shown below. If soil comes in bags that fill 2 square yards each, how many bags of soil sh

ould Lucas buy? Hint: you may have some leftover soil.
The garden is 5/2 yards by 3/2 yards
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
7 0

Lucas need 2 bags of soil and there will be some leftovers .

Step-by-step explanation:

Area of the garden = (5/2) (3/2)

= 15/4 square yards

Each bag can cover 2 square yards

No. of bags needed = (15/4) /2

= 15/8

We can say that Lucas need 2 bags of soil and there will be some leftovers .

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A cylinder has a diameter of 14 cm and a volume of 112 pi.
vekshin1
Height of cylinder is 2.285 centimeters

Diameter = 14 cm
Radius = 7 cm (14/2)
Volume = 112 pi

Volume of cylinder = pi(radius)^2 h
112pi = pi(7)^2 h
Divide both sides
112 = 49 h
h = 112/49
h = 2.285 centimeters
8 0
3 years ago
Which fraction is larger 1/2 or 3/4
GrogVix [38]
1/2 is equivalent to 50%
3/4 is equivalent to 75%

75% > 50% (75% is larger than 50%)
75% = 3/4

The answer is 3/4
Hope the answer helps :)
4 0
4 years ago
Read 2 more answers
Brandon buys a radio for $43.89 in a state where the sales tax is 7percent
kkurt [141]

Answer:

$3.07 in taxes

Step-by-step explanation:

You multiply 43.89 by .07 and the number you get is 3.07 and that represents the taxes. The total would be 46.96

6 0
3 years ago
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A fruit punch recipe that serves 20 people calls for 32 fluid ounces of pineapple juice and 48 fluid ounces of orange juice. Mon
Hoochie [10]

Step-by-step explanation:

so the ratio of the recipe is 32/48 of pineapple juice and orange juice.

that can be simplified to the ratio of 2/3.

now, she has only 20 floz of pineapple juice.

20/x = 2/3

60/x = 2

60 = 2x

x = 60/2 = 30

she needs 30 floz of orange juice with the 20 floz of pineapple juice to maintain the prescribed ratio for fruit punch.

6 0
2 years ago
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Determine 2nd term and rth term of a.p.whose 6 th term is 12 and 8 th term is 22​
Vanyuwa [196]

Answer:

see explanation

Step-by-step explanation:

The n th term of an arithmetic progression is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a_{6} = 12 and a_{8} = 22, then

a₁ + 5d = 12 → (1)

a₁ + 7d = 22 → (2)

Subtract (1) from (2) term by term to eliminate a₁

2d = 10 ( divide both sides by 2 )

d = 5

Substitute d = 5 into (1) to find a₁

a₁ + 5(5) = 12

a₁ + 25 = 12 ( subtract 25 from both sides )

a₁ = - 13

Thus

a_{2} = - 13 + 5 = - 8

a_{n} = - 13 + 5(n - 1) = - 13 + 5n - 5 = 5n - 18 ← n th term

8 0
3 years ago
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