MATHEMATICS
MIDDLE SCHOOL

In x = -2, x=

Answer:

Answer:

x = 0.135 ( 3 dec. places )

Step-by-step explanation:

Using the law of logarithms

• x = n ⇔ x =

Note that ln x = x

given

ln x = - 2 ⇒ x = ≈ 0.135

MIDDLE SCHOOL

What is the answer to f(-11) for f(x)=x-3?

To solve for function (f) input -11 for x.

f(-11) = -11 - 3

~Subtract

f(-11) = -14

Best of Luck!

Step-by-step explanation:

here's how you do it

f(-11) = (-11) - 3

= -14

MIDDLE SCHOOL

orlando and daisy ordered a pizza for lunch. orlando ate 1/2 of the pizza, and daisy ate 3/8 of the pizza. how much of the pizza did they eat together

Answer=7/8

1/2+3/8=

to solve this problem, we need the denominators of the fractions to match. lets convert 1/2 to ?/8

1/2=4/8

4/8+3/8=7/8

They ate 7/8 of the pizza together

1/2+3/8=

to solve this problem, we need the denominators of the fractions to match. lets convert 1/2 to ?/8

1/2=4/8

4/8+3/8=7/8

They ate 7/8 of the pizza together

MIDDLE SCHOOL

What process can you use to help you write a system of linear equations when dealing with mixture problems

First, you have to understand the mixture problem. You cannot solve any problem without understanding it first. You should have a good comprehension of the problem. Then, you need to have the set up. Usually, mixture problems have three amounts. Two of those are usually the amounts being mixed and the third is the mixed amounts. Then, you need to identify the "x" or the variable. You need to assign the x properly to the problem. Let us say for example that you need to have 15 liters of mixture. Then you put some x liters to the other component of mixture. Therefore, the other component would be "15 – x liters". Then finally, solve the equation and you will eventually get with the right amount.

HIGH SCHOOL

An investment of $5,000 is made at a simple annual interest rate of 3%. How much additional money must be invested at a simple annual interest rate of 3.9% so that the total annual interest earned is 3.5% of the total investment?

Answer: Additional money is $6250.

Step-by-step explanation:

Since we have given that

Amount of investment = $5000

Rate of simple interest = 3%

Let the additional amount of investment be 'x'.

Rate of simple interest = 3.9%

Total annual interest rate on total investment = 3.5%

So, According to question, it would be

Hence, Additional money is $6250.