MATHEMATICS
HIGH SCHOOL

Answer: X=5 so the congruent sides are 13cm and the last one is 10 cm.

HIGH SCHOOL

Which of the following interpretations for the given expression is correct? the cube of the difference of 5 times the square of y and 7 divided by the square of 2 times y

the difference of the cube of 5 times the square of y and 7 divided by 2 times the square of y

the cube of the difference of the square of 5 times y and 7 divided by the square of 2 times y

the cube of the difference of 5 times the square of y and 7 divided by 2 times the square of y

The expression is

(5y² -7)³/(2y)²

I believe the best answer is the first option; the cube of the difference of 5 times the square of y and 7 divided by the square of 2 times y.

(5y² -7)³/(2y)²

I believe the best answer is the first option; the cube of the difference of 5 times the square of y and 7 divided by the square of 2 times y.

Answer:

The cube of the difference of 5 times the square of y and 7 divided by the square of 2 times y.Step-by-step explanation:

The give expression is:

In words, this expression would have all these statement referring to each operation:

- The cube of the difference, because the difference is inside the cubic power.
- Of 5 times the square of y and 7, because these are the terms that are being subtracted.
- Divided by, because the expression described before is in a quotient.
- The square of two times y, because the both factor are inside the squared power.

Therefore, the first statement is correct.

COLLEGE

At a wedding, there are 456 people spread out amongst 45 tables. There are no empty seats. The reception hall has tables that sit 12 people or 8 people. Write a system of equations that can be used to find the number of each type of table the restaurant has.

Thats a lot of people for one resturant

HIGH SCHOOL

Assume that a hat contains four bills: a $1 bill, a $5 bill, a $10 bill and a $20 bill. Two bills are to be selected at a random with replacement. find the probability that a) both bills are $1 bill if the first selected is a $1 bill

b) both bills have a value greater than a $5 bill if the second bill is a $10 bill

The probabilities are:

a) 1/16

b) 1/8.

How to find the probabilities?We assume that all the bills have the same probability of being randomly selected.

a) Then the probability of randomly selecting a $1 bill is equal to the number of $1 bills on the hat divided by the total number of bills.

There is one $1 bill on the hat, and 4 bills in total, so the probability is:

p = 1/4.

Then you return the $1 bill to the hat and want to draw it again, with the same probability as before.

q = 1/4.

The joint probability is the product of the individual probabilities, so we have:

P = p*q = (1/4)*(1/4) = 1/16.

b) There are 2 bills that have a larger value than $5, then the probability for the first draw is:

p = 2/4

For the second draw, we must get the $10 bill, and the probability of getting it is:

q = 1/4.

The joint probability is:

P = p*q = (2/4)*(1/4) = 1/8.

If you want to learn more about probability, you can read:

brainly.com/question/251701

Answer:

a)1/4

b)1/2

Step-by-step explanation:

a) The selection is with replacement, then we already have 1 $ bill and in the hat again the four bills. What is the probability of select 1$ bill ? well it is 1/4.

The point here is, replacement condition make the second trial totally independent of the first one

b)Following the same reasoning now we have selected a 10 $ bill, and we have two possibles positive outcome a 10 $ and a 20 $ bill and a total of 4 outcomes th th probability is 1/2

MIDDLE SCHOOL

What are two addedns that will equal 1/3

Well you can change 1/3 to 2/6, since you can multiply the numerator and denominator by the same number and the fraction will still be the same.

With 2/6, you can divide by 2 to get 1/6 and 1/6.

So addends are 1/6 and 1/6.

With 2/6, you can divide by 2 to get 1/6 and 1/6.

So addends are 1/6 and 1/6.