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adell [148]
3 years ago
8

Turn 3/25 to standard form​

Mathematics
1 answer:
Katena32 [7]3 years ago
4 0

Answer:

1.2 x 10^-1 or 12x10^-2

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What is the sum of the first 30 terms of the arithmetic series 27,32,37,42,47
AlladinOne [14]

Answer:

2985

Step-by-step explanation:

The formula for the sum of an arithmetic series is given by the formula:

S=\frac{k}{2}(a+x_k)

Where k is the number of terms, a is the first term, and x_k is the last term. In this case, the last term is the 30th term because we are finding the sum of the first 30 terms.

So, we need to find the 30th term. To do so, we can write an explicit formula for our sequence.

The standard form for an arithmetic sequence is given by the formula:

x_n=a+d(n-1)

Where a is the initial term and d is the common difference.

From our sequence, we can see that the initial term a is 27. The common difference is 5 because each term is 5 greater than the previous one.

So, our equation is:

x_n=27+5(n-1)

So, to find the 30th term, substitute 30 for n:

x_{30}=27+5(30-1)

Subtract:

x_{30}=27+5(29)

Multiply:

x_{30}=27+145

Add:

x_{30}=172

So, the 30th term is 172.

Now, substitute this into our original sum formula:

S=\frac{k}{2}(a+x_k)

Substitute 30 for k (the amount of terms), 27 for a (the first term), and 172 for x_k (the 30th and last term). So:

S=\frac{30}{2}(27+172)

Reduce and add:

S=15(199)

Multiply:

S=2985

So, the sum of the first 30 terms is 2985.

3 0
3 years ago
Pam read 126 pages of her summer reading bookin 3 hours. Zac read a180 pages of his summer reading book in 4 hours. If they cont
Alex787 [66]

Answer:

Zac will finish, Pam won’t

Step-by-step explanation:

Let’s have the individual reading speeds

The individual reading speeds are the number of pages divided by hours taken

For Pam; 126/3 = 42 pages per hour

For Zac; 180/4 = 45 pages per hour

In five hours, Zac would read; 45 * 5 = 225 pages

In five hours, Pam would read 42 * 5 = 210 pages

6 0
3 years ago
PLEASE help with these 2 questions<br><br> thank you!
Sergio039 [100]
Download the app photo math help a whole lot
6 0
3 years ago
The time t required to drive a certain distance varies inversely with the speed r. If it takes 2 hours to drive the distance at
RUDIKE [14]
It is "C" about 1.71 hours
8 0
3 years ago
A number line going from 0 to 4. Numbers 0, 1, 2, 3, and 4 are marked on the line. Marks divide the spaces between each number i
olga nikolaevna [1]

Answer:

8 pieces of string

Step-by-step explanation:

Given that :

Total yards of string = 4

Length in yd of each string = 1/2 yards

Number of pieces of string Ms. Cole has :

Total. Yards / length in yard of each string

4 / (1/2)

4 * (2 /1)

= 8/1

= 8 pieces of string.

6 0
3 years ago
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