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JulsSmile [24]
3 years ago
8

3_1/2 divided by 5/8 What is the answer

Mathematics
1 answer:
vlabodo [156]3 years ago
6 0

Answer:

28/5 or 5  3/5

Step-by-step explanation:

First you need to make the mixed number into an improper fraction, like this:

3 1/2 turns into 7/2

Next you will need to do the reciprocal of division and inverse operation:

7/2 times 8/5

Then solve it:

7/2 * 8/5 = 56/10

Last simplify:

28/5

or

5  3/5

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1) use the distance formula to find that the radius (r) of the circle = 5

2) use the midpoint formula to find that the center of the circle (h,k) = (3, 0)

3) Now use the formula of a circle and input the (h,k) and r to create:

(x - 3)² + (y - 0)² = 5² → (x - 3)² + y² = 25

4) input the "x" value given in the question (x = 0) and solve for "y":

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3 years ago
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4. Name the first five terms of the arithmetic sequence. a1 = -35, d=4​
eduard

Answer:

Step-by-step explanation:

We first have to write the equation for the sequence, then finding the first five terms will be easy. Follow the formatting:

a_n=a_1+d(n-1) and we are given enough info to fill in:

a_n=-35+4(n-1) and

a_n=-35+4n-4 and

a_n=-39+4n or in linear format:

a_n=4n-39 where n is the position of the number in the sequence. We already know the first term is -35.

The second term:

a_2=4(2)-39 so

a_2=8-39 and

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The third term:

a_3=4(3)-39 and

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a_3=-27 and we could go on like this forever, but the nice thing about this is when we know the difference all we have to do is add it to each number to get to the next number.

That means that the fourth term will be -27 + 4 which is -23.

The fifth term then will be -23 + 4 which is -19. You can check yourself by filling in a 5 for n in the equation and solving:

a_5=4(5)-39 and

a_5=20-39 so

a_5=-19

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Step-by-step explanation:

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