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3 years ago

Jacob is 5 5/6 feet tall. Linda is 5 1/4 feet tall. How much taller is Jacob?

2 answers:

6 0

This problem boils down to 5/6 - 1/4

To subtract these fractions you need a common denominator.

I'll use 12

The first fraction becomes 10/12 and the second fraction becomes 3/12

10/12-3/12 = 7/12

So Jacob is 7/12 of a foot taller than Linda.

Also note than since 12 inches = 1 foot, you could say Jacob is 7 inches taller than Linda

True [87]3 years ago

3 0

Find the difference in their heights

5 5/6-5 1/4

The 5s cancel out

5/6-1/4

The LCD is 12
10/12-3/12

7/12

7 inches

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3 years ago

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2 years ago

A bag contains 6 red apples and 5 yellow apples. 3 apples are selected at random. Find the probability of selecting 1 red apple

tester [92]

Answer: The required probability of selecting 1 red apple and 2 yellow apples is 36.36%.

Step-by-step explanation: We are given that a bag contains 6 red apples and 5 yellow apples out of which 3 apples are selected at random.

We are to find the probability of selecting 1 red apple and 2 yellow apples.

Let S denote the sample space for selecting 3 apples from the bag and let A denote the event of selecting 1 red apple and 2 yellow apples.

Then, we have

$n(S)=^{6+5}C_3=^{11}C_3=\dfrac{11!}{3!(11-3)!}=\dfrac{11\times10\times9\times8!}{3\times2\times1\times8!}=165,\\\\\\n(A)\\\\\\=^6C_1\times^5C_2\\\\\\=\dfrac{6!}{1!(6-1)!}\times\dfrac{5!}{2!(5-2)!}\\\\\\=\dfrac{6\times5!}{1\times5!}\times\dfrac{5\times4\times3!}{2\times1\times3!}\\\\\\=6\times5\times2\\\\=60.$

Therefore, the probability of event A is given by

$P(A)=\dfrac{n(A)}{n(S)}=\dfrac{60}{165}=\dfrac{4}{11}\times100\%=36.36\%.$

Thus, the required probability of selecting 1 red apple and 2 yellow apples is 36.36%.

4 0

2 years ago

The planner for a company celebration bough 335 balloons. While he was inflating them, 11 balloons over inflated and burst. If h

Vlad1618 [11]

Answer:

54 balloons in each room

Step-by-step explanation: The answer is 54 because the company had 335 balloons, but then 11 exploded, so first you do 335-11=324. Lastly, you have to divide 324÷6, which gives you 54 balloons in each room

8 0

2 years ago

Evaluate the expression when c=4 and d=48. d-6c

Rama09 [41]

Answer:

Step-by-step explanation:

since c=4 and d=48, we can re-write this equation

48-6 x 4

48 - 24

5 0

2 years ago