Answer:
Step-by-step explanation:
Do not confuse the GCF with the Least Common Denominator (LCD) which is the smallest expression that all terms go into, rather than the greatest number
Answer:
810
Step-by-step explanation:
The original price of the car = 100%.
Price is decreased by 10%- price now equal 90% of original.
Let original price = x
.9x=729
x=810
Check:
810 - .1(810) = 729
True!
Answer:
f(5) = 75
Step-by-step explanation:
The function is f(x) = 2x^2 + x(100 - 15x).
Evaluate this function at x = 5: replace each instance of x with 5:
f(5) = 2(5)^2 + 5(100 - 15·5)
Order of operations rules require evaluating the expression enclosed in parentheses first. We get:
f(5) = 2(5)^2 + 5(100 - 15·5)
= 50 + (100 - 75), so that:
f(5) = 50 + 25 = 75
f(5) = 75
Answer:
<u>Angle MON is equal to 130 degrees.</u>
Step-by-step explanation:
We are told LON is 180 degrees.
Angles LOM and MON are supplementary meaning they add to 180 degrees.
Using this information we know 12x+120=180.
We can use the subtractive property of equality to subtract 120 from both sides.
Do thins we get 12x=60.
Using the division property of equality we can divide both sides by 12 to get x=5.
We can then use the substitution property of equality to get MNO=8(5)+90.
<u>We can then simplify to get MNO=130.</u>
Answer:66 hours of video games in three weeks!
Step-by-step explanation:First you would multiply 6 by 2 because the weekend refers to Saturday and Sunday which are two days,when you multiply 6 by 2 you get 12.Next you would multiply 2 by 5 because the problem says 2 hours each day of the week,when you multiply 2 by 5 you get 10.Then you add 10 and 12 which gets you to 22.Last but not least you multiply 22 by 3 because the question says how many hours does mr.danie spend playing video games over <em>3 weeks,</em>which bring you to 66!
I hope I helped!
