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3 years ago

Find three consecutive integers such that 4 times the least integer is 8 times two less the greatest integer.

Mathematics

1 answer:

patriot [66]3 years ago

6 0

$least \: int = x \\ 4x = 8((x + 2) - 2) \\ 4x = 8x \\ 0 = 4x \\ 0 = x \\ numbers = 0 \: 1 \: 2$

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The table shows the cost to rent a campsite based on the number of people camping. Determine if each statement is true by select

Alexeev081 [22]

Yes
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The slope is 8.5

Take any 2 points and apply the slope equation. You will get the same slope.

The constant proportionality is the same as the slope.

Hope it helps :)

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3 years ago

Read 2 more answers

Use the tangent radio to find the missing leg of this right triangle. Estimate your answer to two decimal places.

erica [24]

Answer:

11.55

Step-by-step explanation:

SOH CAH TOA reminds you ...

Tan = Opposite/Adjacent

The angle at lower left is the complement of 60°, so is 30°. Then the side x satisfies the equation ...

tan(30°) = x/20

Multiplying by 20 gives ...

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8 0

3 years ago

Svet_ta [14]

Answer:

108π

Step-by-step explanation:

1/3 × 9 × π × (6²)

1/3 × 9π6²

(1 × 9π6²) / 3

(6² × 9π) / 3

6² × 3π

36 × 3π

108π

7 0

3 years ago

The Carousel at Carowinds has 4 rings of horses. Fred is riding on the inner ring, which has a radius of 7 feet. Juan is riding

nikdorinn [45]

Answer:

Juan travel 31.4 feet farther than Fred in one rotation.

Step-by-step explanation:

In this problem we need to determine the change in linear position of Fred and Juan, whose formula is:

$s=\theta \cdot r$ (Eq. 1)

Where:

$r$ - Radius, measured in feet.

$\theta$ - Angular arch, measured in radians.

$s$ - Change in linear position, measured in feet.

If both makes one rotation in the carousel, we obtain the change in linear position of each player:

Fred ( $r = 7\,ft$ , $\theta = 2\pi$ )

$s= 2\pi\cdot (7\,ft)$

$s = (3.14)\cdot (7\,ft)$

$s = 21.98\,ft$

Juan ( $r = 17\,ft$ , $\theta = 2\pi$ )

$s= 2\pi\cdot (17\,ft)$

$s = (3.14)\cdot (17\,ft)$

$s = 53.38\,ft$

And the difference between both travelled distances is:

$\Delta s = 53.38\,ft-21.98\,ft$

$\Delta s = 31.4\,ft$

Juan travel 31.4 feet farther than Fred in one rotation.

4 0

3 years ago

What is .65% of 160? show your work?

photoshop1234 [79]

65/100 ×160 =104 is the answer

7 0

3 years ago