MATHEMATICS
HIGH SCHOOL

B. 116

C. 112

D. 118

Answer: First, assign a variable that you're looking for.

Let x = the larger number

Then x - 1 = the smaller number

The sum of x and x - 2 will equal to 226.

x + x - 1 = 226

2x - 1 = 226

2x = 228

x = 114

So, the smaller number is 112 and the larger number is 114.

Let x = the larger number

Then x - 1 = the smaller number

The sum of x and x - 2 will equal to 226.

x + x - 1 = 226

2x - 1 = 226

2x = 228

x = 114

So, the smaller number is 112 and the larger number is 114.

MIDDLE SCHOOL

Find the measure of the supplement of the angle 3 degrees

Answer:

177 degrees

Step-by-step explanation:

Given the angle Ф, we find its supplement by subtracting it from 180 degrees:

supplement of 3 degrees = 180 degrees - 3 degrees = 177 degrees

Answer:

177

Step-by-step explanation:

COLLEGE

-5 1/2 as an improper fraction

-11/2

Multiply 5 and 2, then add 1

-11/2, Hope this helps!

Multiply 5 and 2, then add 1

-11/2, Hope this helps!

MIDDLE SCHOOL

A bank teller notices that an account was overdrawn and had a balance that can be represented by-324. The account holder then deposited 3 checks for $150 each and made 4 withdrawals of $20 each. The teller used the steps below to find the new balance for the account. Step 1- start: -$324

Deposits: $150 each

Withdrawals: -$20 each

Step 2- -324+3(150)+4(-20)

Step 3- -324+450-80=46

Step 4- the account is overdrawn by $46

In which step did the teller make the first error?

Step 1

Step 2

Step 3

Step 4

Answer:

Step 4 : the account is overdrawn by $46

Step-by-step explanation:

Please see that when an account is in negative figure , we call it overdrawn. but when it is in positive figure we called is in credit.

Here we see from the calculation that the final balance available in the account of teller is $46, hence the account is having positive balance . hence it is not overdrawn.

So the mistake is in last step.

Answer:

step 4 it not overdrawn any more it postive 46 not negtive

Step-by-step explanation:

COLLEGE

Which could be the first step in simplifying this expression? Check all that apply. (x^3 x^-6)^2 (x^-18)^2

(x^-3)^2

(x^-2)^2

x^6 x^-12

x^5 x^-4

Answer:

Option B and D are correct

or

Step-by-step explanation:

Using exponent rule:

Given the expression:

....[1]

Apply the exponent rule:

We can write the given expression as:

Apply the exponent rule in [1]:

⇒

Therefore, the first step in simplifying this expression are:

or

X^(3 + (-6) )= (x^-3)^2