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frozen [14]
3 years ago
14

A log with a radius of 2.5 feet is rolled up a hill. If it takes 30 seconds to roll the log one complete revolution, approximate

ly how many minutes will it take to roll the log 75 yards? [3 feet = 1 yard] 5 7 10 12 15
Mathematics
1 answer:
krek1111 [17]3 years ago
3 0

Answer: 45minutes

Step-by-step explanation:

Since it takes 30seconds to roll a log of 2.5feets up the hill, it will take 25×225/2.5 seconds to roll a log of 225feets(75yards).

*Note that

3feets= 1yard

xfeets = 75yards

x = 75 × 3

x = 225feets

2.5feets = 30seconds

225feets = y

y = 225×30/2.5

y = 2700seconds

It will take 2700 seconds (45minutes) to roll up 75yards(225feets) of log

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mario62 [17]

Answer:

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4 0
3 years ago
I have a stamp collection. 70% of my stamps are Canadian and 30% are international. I have 500 more Canadian stamps than interna
shutvik [7]

Answer: N= 375, C= 875

Step-by-step explanation:  Let Canadian stamps=C

Let International stamps=N

C=875     and        N=375

 

C - 500=N,  .70(N + C) =C

Solve the following system:

{C-500 = N |     (equation 1)

0.7 (C+N) = C |     (equation 2)

Express the system in standard form:

{-N+C = 500 |     (equation 1)

0.7 N-0.3 C = 0 |     (equation 2)

Add 0.7 × (equation 1) to equation 2:

{-N+C = 500 |     (equation 1)

0 N+0.4 C = 350 |     (equation 2)

Divide equation 2 by 0.4:

{-N+C = 500 |     (equation 1)

0. N+C = 875. |     (equation 2)

Subtract equation 2 from equation 1:

{-N+0 C = -375. |     (equation 1)

0 N+C = 875. |     (equation 2)

Multiply equation 1 by -1:

{N+0 C = 375. |     (equation 1)

0 N+C = 875. |     (equation 2)

Collect results:

Answer: |  N = 375        and             C=875

3 0
3 years ago
Can you help me on this one
Annette [7]

Answer: B. Line AC is congruent to line BD

Step-by-step explanation:

The Hypotenuse-Leg Theorem states that two right triangles are congruent if and only if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of the other right triangle.

Since they both share Leg DC, their hypotenuse should be congruent to use this proof.

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3 years ago
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vlada-n [284]

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

We have:

5x-3y=4\qquad|\text{subtract 5x from both sides}\\\\-3y=-5x+4\qquad|\text{divide both sides by (-3)}\\\\y=\dfrac{5}{3}x-\dfrac{4}{3}

<h3>Answer: 5/3</h3>
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3 years ago
Five friends each spent the same amount of money, x, on school supplies. They expected to spend a total of $130, but the actual
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Answer:

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Step-by-step explanation:

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3 years ago
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