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Elis [28]
3 years ago
5

Scott runs 6 miles in 55 minutes. at the same rate how many miles would he run in 44 minutes

Mathematics
1 answer:
marishachu [46]3 years ago
8 0

Answer:

4.8 miles

Step-by-step explanation:

We can write a ratio to solve

6 miles         x miles

------------   = --------------

55 minutes     44 minutes

Using cross products

6 * 44 = 55 * x

Divide each side by 55

6*44/55 = 55x/55

4.8 miles = x

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The thousandth place is the 3rd digit after the decimal.

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3 years ago
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12) Find the sum, S7 for the geometric series {1 + 5 + 25 + - + 15625).
zhenek [66]

<u>Understanding:</u>

The sum of a geometric series is, a+ar+ar^2+ar^3+..., with a being the start point and r is the common ratio. We can also use the following formula to make life easier S_n=a\frac{1-r^n}{1-r}, a is your start point, r is the common ratio, and n is the number of terms, which in our case is S7.

<u>Solution:</u>

Our start point is 1, a=1,

The common ratio is 5, r=5,

And finally, the number of terms is 7, n=7.

S_n=a\frac{1-r^n}{1-r} \\=(1)\frac{1-(5)^{(7)}}{1-(5)} \\=\frac{1-78125}{1-5} \\=\frac{-78124}{-4}\\=19531

The answer is [A] 19531.

7 0
3 years ago
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What are the solutions of the equation (2x + 3)^2 + 8(2x + 3) + 11 = 0? Use u substitution and the quadratic formula to solve.
iris [78.8K]
U=2x+3, x=u/2-3/2
u^2+8u+11=0
u1=(-8+sqrt(64-44))/2=-4+sqrt(5)
u2=-4-sqrt(5)
x1=u1/2-3/2=-7/2+sqrt(5)/2
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7 0
3 years ago
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7nadin3 [17]

Answer:

x>−6

Step-by-step explanation:

-6x<36

Multiply both sides by -1. ( reverse the inequality )

(-6x) (-1) > 36 (-1)

Simplify

6x > -36

Divide both sides by 6

6x divided by 6        -36 divided by 6

Simplify

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Hope this helped

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3 years ago
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yawa3891 [41]

Answer:

Step-by-step explanation:

Using first equation in the second gives you

x-3(-2x+1)=11

x+6x-3=11

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x=2, making y=-2x+1 become

y=-2(2)+1

y=-4+1

y=-3 so the solution is the point

(2,-3)

3 0
2 years ago
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