1. First step: To get a term of x by itself, add 5 to both sides
Second step: This will become 3x<24
Third step: To separate 3x, divide everything by 3: 3x÷3 < 24÷3
Step four: x < 8
2. First subtract both sides by 12: - 2x + 12 - 12 < - 4 - 12
Second: This becomes - 2x < -16
Third: Divide by -2 to get x by itself - 2x ÷ - 2 > -16 ÷ - 2 Note: If you divide by a negative number, the inequality sign switches. This is a really important step that most students forget.
Fourth: x>8
Note: Try plugging in values when you are done if you are uncertain you have the right answer.
Area of a parallelogram is the base times the height
the base is 14 cm
the height is 7 cm
14*7=?
Answer:
x = 85 deg
Step-by-step explanation:
We can see that there are two straight lines that intersect and that the two angles given are opposite angles.
Because they are opposite angles, the two angles have the same value, i.e
(x + 5) = 90 (subtract 5 from each side)
x = 90 - 5
x = 85 deg
Answer:
02:3 and 12:18
Step-by-step explanation:
A proportion is formed when the larger ratio can be simplified to equal the smaller ratio:
#1
02:3 and 4:12
Reducing the larger ratio: 4:12=1:3
Hence, not a proportion.
#2
02:3 and 6:12
Reducing the larger ratio: 6:12=1:2
Hence, not a proportion.
#3
02:3 and 12:18
Reducing the larger ratio: 12:18=2:3
Hence, they form a proportion.
#4
02:3 and 12:18
Reducing the larger ratio: 12:36=1:3
Hence, not a proportion.
Answer:
C
Step-by-step explanation:
the formula for simple interest is given as A=P(1+rt), where A is the final balance, P is the initial principal balance (the amount of money that you start out with), r is the annual interest rate, and t is the time
we know that the mom deposited 2000 into an account when the person was born. This is our initial principal balance (the amount of money started out with)
substitute that value into the formula to get:
A=2000(1+rt)
we also know the rate, which is 5% and the time, which is 18
5%=0.05 (we need it as a decimal)
so substituting the values into the equation:
A=2000(1+0.05*18)
A=2000(1+0.9)
A=2000(1.9)
A=3,800
therefore the answer is C
Hope this helps!
