Answer:
12x - 6 ≤ - 18
Step-by-step explanation:
We will call "a number" x so
Twelve times a number would be:
12x
Then minus 6
12x - 6
Now we add the less than or equal to sign.
12x - 6 ≤
This is equal to negative eighteen, so:
12x - 6 ≤ - 18
As a bonus we can also solve for x.
12x - 6 = - 18 Add 6 to each side.
12x - 6 + 6 = -18 + 6
12x = -18 + 6
12x = -12 Divide each side by 12
12x/12 = -12/12
x = -12/12
x = -1
So we can say when x ≤ -1 Then 12x - 6 ≤ -18
First, you will have to convert both the fractions to improper fractions, then you will multiply both the fractions. Once you are done multiplying it you will convert them to mixed fractions.
Answer:
Step-by-step explanation:
The rule is that the exterior angle (ACD) is equal to the sum of the remote interior angles (the two marked angles on the right).
You are expected to use this relation to write and solve an equation.
exterior angle = angle D + angle B
(2x +16) = 58 + (x+12)
2x +16 = x +70
x + 16 = 70
x = 54
Then angle ACD is ...
angle ACD = (2x +16)° = (2·54 +16)°
angle ACD = 124°
Answer:
C.Expression A is 4 times as great as expression B.
Step-by-step explanation:
Given - Without doing any calculations, compare Expression A to Expression B.
A. (34+25) ÷ 1/4
B. 34+25
To find - Which statement is true?
A. Expression A is 2 times as great as expression B.
B.Expression B is 4 times as great as expression A.
C.Expression A is 4 times as great as expression B.
D. The two expressions are equal to each other.
Solution -
The correct answer is - C. Expression A is 4 times as great as expression B.
Reason -
Given that ,
Expression A is -
( 34 + 25 ) ÷ 1 /4
It can also write it as -
4(34 + 25)
And
Expression B given as -
34 + 25
So,
We can clearly see that,
Expression A is 4 times Expression B.
So,
Option C is correct.
