Answer:
Step-by-step explanation: This is five-fold proportion
The first ratio gives solution namely
We will write general proportion
a:b= c:d= e:f = g:h= i:j = k
According to this the first ratio gives coefficient k
When we divide 24/2 =12 our coefficient k=12
In the second ratio we will multiply 3 with 12 and get 36.
In the third ratio we will multiplu 5.5 with 12 and get 66.
In the fourth we will divide 108 with 12 and get 9.
In the fifth we will multiply 15 with 12 and get 180.
Finally the ratio is 24:2=36:3=66:5.5=108:9=180:15
Answer:
8.84×10 To the power of -1
Step-by-step explanation:
stated number and decimal number is 8.84
goal: find the standard form of that number.
Defenition: (Plagarism Copyrights) The rules when writing a number in standard form is that first you write down a number between 1 and 10, then you write × 10(to the power of a number).
So 0.884 is 8.84/10
next put the numerator of 10 to 1 - 1/10
mulitiply 8.84 by 1/10-
this, the answer is multiply 8.84 by 10 to the power of -1
which is basically 8.84×10 To the power of -1
If 45 percent of the homework is only 27 problems, she needs to figure out this:
What is 47 percent of 60?
or
47% x 60
Which is 27.
So, Yolanda was assigned 60 problems.
Answer:
3.
Step-by-step explanation:
This is a geometric series so the sum is:
a1 * r^n - 1 / (r - 1)
= 1 * (2^101 -1) / (2-1)
= 2^101 - 1.
Find the remainder when 2^101 is divided by 7:
Note that 101 = 14*7 + 3 so
2^101 = 2^(7*14 + 3) = 2^3 * (2^14)^7 = 8 * (2^14)^7.
By Fermat's Little Theorem (2^14) ^ 7 = 2^14 mod 7 = 4^7 mod 7.
So 2^101 mod 7 = (8 * 4^7) mod 7
= (8 * 4) mod 7
= 32 mod 7
= 4 = the remainder when 2^101 is divided by 7.
So the remainder when 2^101- 1 is divided by 7 is 4 - 1 = 3..
The scientific notation of 832,000 is <span>8.32 × (10)to the fifth power.
Have a great day!
</span>
