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3 years ago

A farm has sheep,pigs and cows at a ratio of 8:3:2. There are 10 cows, how many pigs and sheep are there

Mathematics

1 answer:

dedylja [7]3 years ago

8 0

15 pigs and 40 sheep

10 cows is equivalent to 2 parts of the ratio, hence

$\frac{10}{2}$ = 5 ← 1 part of the ratio, hence

8 parts = 8 × 5 = 40 ← number of sheep

3 parts = 3 × 5 = 15 ← number of pigs

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3 years ago

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3 years ago

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3 1/3 divided by 1 1/4 =

lora16 [44]

Answer:

3/8

Step-by-step explanation:

3 1/3 = 10/3

1 1/4 = 5/4

Remember when dividing by a fraction you can also multiply by its reciprocal meaning flip the numerator and denominator.

(3 1/3) / (1 1/4) = (10/3) / (5/4) = (10/3) x (4/5) which is the same as (3/10) x (5/4)

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3 years ago

A piece of wire measuring 20 feet is attached to a telephone pole as a guy wire. The distance along the ground from the bottom o

dem82 [27]

Answer: Height at which the wire is attached to the pole is 12 feet.

Explanation:

Since we have given that

Length of the wire = 20 feet

Let the height at which wire is attached to the pole be h

and distance along the ground from the bottom of the pole to the end of the wire be x+4

Now, it forms a right angle triangle so, we can apply "Pythagorus theorem".

$H^2=B^2+P^2\\\\20^2=x^2+(x+4)^2\\\\400=x^2+x^2+8x+16\\\\400=2x^2+8x+16\\\\400=2(x^2+4x+8)\\\\200=x^2+4x+8\\\\x^2+4x-192=0\\\\x^2+16x-12x-192=0\\\\x(x+16)-12(x+16)=0\\\\(x+16)(x-12)=0\\\\x=-16\ and\ 12$

But height cant be negative so, height will be 12 feet.

Hence, height at which the wire is attached to the pole is 12 feet.

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3 years ago