Please help me

Here is a division equation: 4/5 ÷ 2/3 = ? Write a multiplication equation that corresponds to the division equation.

Finger [1]

Answer:

4/5 * 3/2

Step-by-step explanation:

fraction division = multiplying the first fractions by the reciprocal of the second fractions (the tops are bottoms are flipped).

5 0

3 years ago

The first three terms of a sequence are given. Round to the nearest thousandth (if

Tatiana [17]

Answer: 287

Step-by-step explanation:

8, 17, 26

So we know that the sequence pattern is + 9 for every term and the first 3 terms are given.

That means we need 29 more terms to get to the 32nd term.

29 * 9 = 261

261 + 26 = 287

287 is 29 terms past 26, which is the 3rd term.

4 0

4 years ago

This question on math and needs to be written a proportion

guapka [62]

Answer:

g = 3

Step-by-step explanation:

miles / gallon = miles / gallon

104 / 4 = 78 / g

cross-multiply to solve for 'g':

78(4) = 104g

312 = 104g

312/104 = g

3 = g

4 0

2 years ago

Read 2 more answers

Adam has 16.45 kg of flour,and he uses 6.4 kg to make hot cross buns. The remaining flour is exactly enough to make 15 batches o

rewona [7]

If Adam has 16.45 kg of flour and he uses 6.4 kg to make hot cross buns, then he has left

16.45 - 6.4 = 10.05 kg of flour.

If Adam wants to use the remaining flour to make 15 batches of scones, then each batch of scones requires

10.05 : 15 = 0.67 kg of flour.

Answer: each batch of scones requires 0.67 kg of flour.

5 0

3 years ago

Read 2 more answers

A TV studio has brought in 8 boy kittens and 10 girl kittens for a cat food commercial.

kondor19780726 [428]

Answer:

0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.

Step-by-step explanation:

The kittens are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

A TV studio has brought in 8 boy kittens and 10 girl kittens for a cat food commercial.

This means that $N = 8 + 10 = 18$

We want 3 boys, so $k = 8$

The director is going to choose 8 of these kittens at random to be in the commercial.

This means that $n = 8$

What is the probability that the director chooses 3 boy kittens and 5 girl kittens?

This is P(X = 3).

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 3) = h(3,18,8,8) = \frac{C_{8,3}*C_{10,5}}{C_{18,8}} = 0.323$

0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.

3 0

3 years ago