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2 years ago

Please make it correct..I need to pass this...

Mathematics

2 answers:

Sergio [31]2 years ago

6 0

Simplify them all down to 5 then solve

Ksenya-84 [330]2 years ago

5 0

Answer: The next fraction in the sequence will be 5/20.

Step-by-step explanation:

9/20 is the first fraction.

2/5 is equal to 8/20, so that is the second fraction.

7/20 is the third fraction.

3/10 is equal to 6/10, so that is the fourth fraction.

By now we can see that there is a pattern, because the first fraction's numerator began with 9, the next 8, then 7, and 6. We also simplfied all he fractions so that they had the denominator 20. Because of this, the next fraction in the sequence will be 5/20.

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How many thirds are in 3 hours?

natta225 [31]

There are 60 thirds in three hours

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3 years ago

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One of the parking lot lights at a hospital has a motion detector on it, and the equation (x+10)2+(y−8)2=16 describes the bounda

Pani-rosa [81]

We are given an equation:
$(x+10)^{2} + (y-8)^{2} = 16$

This is an equation of a circle. General form of a circle equation is:
$(x-a)^{2} + (y-b)^{2} = r^{2}$
Where:
a = x coordinate of a center
b = y coordinate of a center
r = radius of a circle

Motion detector can detect person anywhere within a boundary. The greatest distance at which detector can detect is at the edge of a circle. That distance, between detector and edge of circle, is equal to radius.

From the equation we have:
$r^{2} =16 \\ r=4$
The greatest distance at which person can be detected is 4ft.

7 0

3 years ago

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Two buses leave towns 304 miles apart at the same time and travel toward each other. One bus travels 14 mih slower than the othe

8090 [49]

Answer:

The faster bus moves at 83mi/h and the slower one moves at 69mi/h.

Step-by-step explanation:

Let's define:

R₁ = rate of bus 1, this is the faster one.

R₂ = rate of bus 2, this is the slower one.

We know that one bus travels 14mi/h slower, then:

R₂ = R₁ - 14mi/h.

Now we know that:

Distance = Speed*Time.

If we add the distances that both busses travel in 2 hours, it should be equal to the initial distance between the buses, then:

R₁*2h + R₂*2h = 304 mi

Then we have the two equations:

R₂ = R₁ - 14mi/h

R₁*2h + R₂*2h = 304 mi

The first step is to replace the first equation in the second one, to get:

R₁*2h + (R₁ - 14mi/h)*2h = 304 mi

And now we can solve this for R₁.

R₁*2h + R₁*2h - 14mi/h*2h = 304 mi

R₁*4h - 28mi = 304mi

R₁*4h = 304mi + 28mi = 332mi

R₁ = 332mi/4h = 83mi/h

The faster bus moves at 83mi/h

And we know that the slower one moves at 14mi/h slower than this, then:

R₂ = R₁ - 14mi/h = 83mi/h - 14mi/h = 69 mi/h

7 0

2 years ago

4. For graduation, Diamond was able to buy her first car for $24,000. Her parents gave her a present and made a

s344n2d4d5 [400]

Answer:

$403.15

Step-by-step explanation:

Principal loan amount is the total amount minus down-payment:

$Principal=24000-1000\\\\=23000$

Knowing that $n=12\times 6=72,P=23000, r=7.99\%/12=0.006658$ , the monthly payments can be calculated using the formula:

$M=P[\frac{r(1+r)^n}{(1+r)^n-1}]\\\\=23000\frac{(0.006658(1.006658)^{72}}{1.006658^{72}-1}\\\\=403.15$

Hence, the monthly payment is $403.15

3 0

3 years ago

8m + 7 = 5m +16 what is this answer

Sophie [7]

M equals 3.
That's your answer

5 0

3 years ago

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