Answer:
-20
Step-by-step explanation:
(-4) × [ (8) + (-3)]
(-4) × [ (8-3)]
(-4) × [5]
-20
Ratios that are equivalent to 3:4 are
6:8
9:12
12:16
Basically just multiplying both sides by the same number.
Answer:


Step-by-step explanation:
Given
Two integers a and b
The first statement in the question says, their sum is at least 30
The keyword "at least" means their sum can not fall below 30 and this is represented mathematically as

The next statement says their difference is at least 10 and b is greater;
The keyword "at least" means the same as used above (i.e. can not exceed); The second statement is represented as:

Hence, the system of inequality that represents the statements are:


Answer:

Step-by-step explanation:
<u>Linear Combination Of Vectors
</u>
One vector
is a linear combination of
and
if there are two scalars
such as

In our case, all the vectors are given in
but there are only two possible components for the linear combination. This indicates that only two conditions can be used to determine both scalars, and the other condition must be satisfied once the scalars are found.
We have

We set the equation

Multiplying both scalars by the vectors

Equating each coordinate, we get



Adding the first and the third equations:


Replacing in the first equation



We must test if those values make the second equation become an identity

The second equation complies with the values of
and
, so the solution is

Answer:
Three by four inches.
Step-by-step explanation:
Width: 25+25+25=75=3
Length: 25+25+25+25=100=4