Answer:
x = -3
Step-by-step explanation:
Okay, the first thing to do is get that 8 away from the fraction. How can we do it? When you have 2³ you have 8, is the same thing, so let's do it:
2³⁰/(2³)⁹ = 2^x
When you have a number with the shape (a^x)^y, you can write it as a^(x•y), so:
(2³)⁹ = 2^3•9 = 2²⁷
Now we have:
2³⁰/2²⁷ = 2^x
When you have a division like this: (a^x)/(a^y), you can write it as a^(x-y), so:
2^(30-27) = 2^x
2^-3 = 2^x
Now you know that x = -3
She can't spend more than 5 minutes on each of the remaining 8 questions.
It's a 60-minute test in which she has spent 20 minutes answering 12 questions. That means that there are 40 minutes remaining (60-20) to answer the remaining 8 questions. That's 40 divided by 8 = 5.
Answer:
x=70°
y=30°
z=20°
Step-by-step explanation:
You first need to find y, which would be 30 because the sum of the first two angles is 150, and a triangle has 180 degrees, so 180-150=30.
By finding y, we can now find a, because if you take the entire triangle, y+z must equal 50. So, z=20 because 30+z=50.
And finally, we can find x to be 70 since the sum of the two other angles is 110 and 180-110=70.
Answer:
336 ways
Step-by-step explanation:
The digits are 1, 2, 2, 4, 5, 5, 6, and 2 that is total eight digits.
The number 654-5222 contains 7 digits.
So, we have find The number of permutations for choosing 7 digits from 8 digits given above.
This can be done in following ways
= 
= 336 ways
Answer: 10x. Area is length times width, so all you need to do is 5x times 2
