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2 years ago

5

I’m so very confused ... 48 out 120 people like baseball, 3 out of 6 play it. If you interviewed 600 people.. how many people pl

ay?

2 answers:

horsena [70]2 years ago

6 0

If you interview 600 and 3/6 play, then 300 would play.

If you appreciated my answer, please thank and brainliest me!

denpristay [2]2 years ago

5 0

300 hundred would play because 3 out of 6 is basically timeing it by 100

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lukranit [14]

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2 years ago

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2 years ago

-15 + 12x = 5x + 7 -3x<br> SOLVE FOR X

Natali [406]

Answer: $x=\frac{11}{5}$

<u>Simplify both sides of the equation</u>

<u></u> $-15+12x=5x+7+-3x$ <u></u>

<u></u> $12x-15=(5x+-3x)+(7)$ (Combine Like Terms)

$12x-15=2x+7$

<u>Subtract 2x from both sides</u>

<u></u> $12x-15-2x=2x+7-2x\\10x-15=7$ <u></u>

<u></u>

<u>Divide both sides by 10</u>

<u></u> $\frac{10x}{10} =\frac{22}{10}$ <u></u>

<u></u> $x=\frac{11}{5}$ <u></u>

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6 0

2 years ago

Read 2 more answers

Use a linear approximation (or differentials) to estimate the given number. (Round your answer to five decimal places.) 3 217

Soloha48 [4]

Answer:

$f(216) \approx 6.0093$

Step-by-step explanation:

Given

$\sqrt[3]{217}$

Required

Solve

Linear approximated as:

$f(x + \triangle x) \approx f(x) +\triangle x \cdot f'(x)$

Take:

$x = 216; \triangle x= 1$

So:

$f(x) = \sqrt[3]{x}$

Substitute 216 for x

$f(x) = \sqrt[3]{216}$

$f(x) = 6$

So, we have:

$f(x + \triangle x) \approx f(x) +\triangle x \cdot f'(x)$

$f(215 + 1) \approx 6 +1 \cdot f'(x)$

$f(216) \approx 6 +1 \cdot f'(x)$

To calculate f'(x);

We have:

$f(x) = \sqrt[3]{x}$

Rewrite as:

$f(x) = x^\frac{1}{3}$

Differentiate

$f'(x) = \frac{1}{3}x^{\frac{1}{3} - 1}$

Split

$f'(x) = \frac{1}{3} \cdot \frac{x^\frac{1}{3}}{x}$

$f'(x) = \frac{x^\frac{1}{3}}{3x}$

Substitute 216 for x

$f'(216) = \frac{216^\frac{1}{3}}{3*216}$

$f'(216) = \frac{6}{648}$

$f'(216) = \frac{3}{324}$

So:

$f(216) \approx 6 +1 \cdot f'(x)$

$f(216) \approx 6 +1 \cdot \frac{3}{324}$

$f(216) \approx 6 + \frac{3}{324}$

$f(216) \approx 6 + 0.0093$

$f(216) \approx 6.0093$

6 0

2 years ago

The cuboid and the triangular prism have the same volume. Find the value of x.

elena-14-01-66 [18.8K]

Answer:

x = 25

Step-by-step explanation:

The volume (V) of the triangular prism is calculated as

V = Al ( A is the area of the triangular face and l is its length )

A = $\frac{1}{2}$ bh = 0.5 × 5 × 8 = 20 cm² , then

V = 20 × 20 = 400 cm³

The volume of the cuboid is calculated as

V = lbh = 3.2 × 5 × x = 16x

Given V = 400 cm³ , then

16x = 400 ( divide both sides by 16 )

x = 25

8 0

2 years ago