MATHEMATICS
MIDDLE SCHOOL

Answer: He would have a total of 180 minutes in breaks.

COLLEGE

select the expression described by the verbal description below. "the square of the sum of 8 times x and 3"

Answer:

Step-by-step explanation:

we know that

a) 8 times x means -----> The number 8 multiplied by x

b) the sum of 8 times x and 3 means ----> the number 8x plus the number 3

c) the square of the sum of 8 times x and 3 means ----> the number 8x plus the number 3 multiplied by itself

Answer:

(8x+3)^2

Step-by-step explanation:

HIGH SCHOOL

How many values of x must be excluded in the expression (x - 2) / (x + 9) (x - 5) ? A. 0

B. 1

C. 2

D. 3

Answer: The correct option is (C). 2.

Step-by-step explanation: We are given to find the number of value of x that must be excluded in the expression below:

We have to exclude those values of x for which the expression E becomes undefined.

Since E is a rational expression, so the becomes undefined only when the denominator becomes 0.

That is,

Therefore, we need to exclude the values x = -9 and x =5.

So, there are two values of x to be excluded from the given expression.

Thus, the number of values of x to be excluded is 2.

Option (C) is CORRECT.

C. 2

the 1x in the numerator position would "cancel out" 1 of the x's in the denominator (this description makes more sense if you viewed the entire problem written out as a fraction)

MIDDLE SCHOOL

an artist is arranging tiles in rows to decorate a wall. each new row has 2 fewer tiles than the row below it. if the first row has 23 tiles, how many tiles will be in the 7th row?

we know that

In an Arithmetic Sequence the difference between one term and the next is a constant

This problem is an Arithmetic Sequence

where

the first term is

and

the common difference is

In general we can write an Arithmetic Sequence as a rule

where

a1 is the first term

d is the common difference

so

Find the term a7

therefore

the answer is

There will be 11 tiles in the 7th row, Hope this helped! :)

COLLEGE

Write the equation of the circle: Center at P(2 , -1) and a diameter of 10m

An equation of the circle is

(x-h)² +(y-k)² =r²,

where (h,k) are coordinates of the center of the circle, and r is a radius of the circle.

We have h=2, k= -1, and radius r=diameter/2=10/2=5.

The equation of our circle is

(x-2)²+(y+1)²=25

(x-h)² +(y-k)² =r²,

where (h,k) are coordinates of the center of the circle, and r is a radius of the circle.

We have h=2, k= -1, and radius r=diameter/2=10/2=5.

The equation of our circle is

(x-2)²+(y+1)²=25