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Assoli18 [71]
3 years ago
14

85.4 to it's lowest terms

Mathematics
1 answer:
maksim [4K]3 years ago
7 0
The answer is 427/5 :))
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What is a35 for the arithmetic sequence presented in the table below?
Kryger [21]

Answer: choice B) a35 = -118

=====================================================

Explanation:

When n = 5, an = 32 as shown in the first column of the table. This means the fifth term is 32. Plug in those values to get

an = a1+d(n-1)

32 = a1+d(5-1)

32 = a1+4d

Solve for a1 by subtracting 4d from both sides

a1 = 32-4d

We'll plug this in later

Turn to the second column of the table. We have n = 10 and an = 7. Plug those values into the formula

an = a1+d(n-1)

7 = a1 + d(10-1)

7 = a1+9d

Now substitute in the equation in which we solved for a1

7 = a1+9d

7 = 32-4d+9d ... replace a1 with 32-4d

7 = 32+5d

5d = 7-32

5d = -25

d = -25/5

d = -5

This tells us that we subtract 5 from each term to get the next term.

Use this d value to find a1

a1 = 32-4d

a1 = 32-4*(-5)

a1 = 32+20

a1 = 52

The first term is 52

--------------

The nth term formula is therefore

an = 52 + (-5)(n-1)

which simplifies to

an = -5n + 57

To check this result, plug in n = 5 to find that a5 = 32. Similarly, you'll find that a10 = 7 after plugging in n = 10. I'll let you do these checks.

--------------

Replace n with 35 to find the 35th term

an = -5n + 57

a35 = -5(35) + 57

a35 = -175 + 57

a35 = -118

7 0
3 years ago
0.60 10 000 % = 0.00006% 0 6 X 10-5% ayudemnea resolverlo
o-na [289]

Answer:

I dunno understand if what kind of opperation you're doing. Is there a multiplication?

<h3>Step-by-step explanation:</h3>

0.60 · 10,000 % = 0.00006 % · 0.6<em>x </em>· 10-5%

If it's a multiplication the answer will be

X = 150125000/ 9

3 0
2 years ago
How many feet is in 215 yards
Lilit [14]
645 feet.

Explanation:
We know that are 3 feet in a yard, so let's set up a proportion to solve this

x215
3 feet n
-------- = -----------
1 yard 215 yards
x 215

We are solving for n. To get from 1 to 215, we multiply by 215. So to get from 3 to the answer, we must multiply by 215 as well. 3 x 215 = 645, therefore that is the answer.
6 0
3 years ago
Read 2 more answers
There are 63 marbles in a leather bag. Some of the marbles are blue, some are green, some are clear, some are gold, and some are
sveticcg [70]

Answer:9

Step-by-step explanation:1/7 of 63 =9

4 0
2 years ago
Marylou is blowing up a beach ball. The package says that the ball has a diameter of 12 inches. What is the volume of the beach
Pavlova-9 [17]

Answer:

Volume of a circle = approximatley 25.12

Step-by-step explanation:

1. Volume of a circle= 4/3*pi*radius

2. Radius equals 1/2 of diameter

3. 12/2=6

4. radius=6

5. 4/3*3.14*6=25.12

6. Volume of a circle = approximatley 25.12

5 0
3 years ago
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