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2 years ago

A boat is 170 inches long. A truck is 80% longer than the truck.How long is the truck?

Mathematics

2 answers:

Genrish500 [490]2 years ago

5 0

Answer:

C) 136 inches.

Step-by-step explanation:

To find this just do the equation:

170 x 0.8 = ?

This equation tells use how much 80% of 170 is. Also, before doing an equation like this, change the percentage into a decimal like 80% to 0.8.

So,

170 x 0.8 = 136

170 + 136 = 306

So the boat is 306 inches.

Julli [10]2 years ago

3 0

Answer:

306 inches

Step-by-step explanation:

80% = 0.8

170 inches × 80% = 170 × 0.8 = 136

The truck is 80% longer than the boat. 80% of the boat is 136.

So, the boat is 170 inches + 136 inches = 306 inches.

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Answer:

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Step-by-step explanation:

5x+12+3x<36

First subtract 12 from both sides.

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8x<24

Next divide 8 from both sides

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13.25 mi

Step-by-step explanation:

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3 years ago

Please see attachment

Dafna11 [192]

Answer:

a) The value of absolute minimum value = - 0.3536

b) which is attained at $x = \frac{1}{\sqrt{2} }$

Step-by-step explanation:

Step(i):-

Given function

$f(x) = \frac{-x}{2x^{2} +1}$ ...(i)

Differentiating equation (i) with respective to 'x'

$f^{l} = \frac{2x^{2} +1(-1) - (-x) (4x)}{(2x^{2}+1)^{2} }$ ...(ii)

$f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2} }$

Equating Zero

$f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2} } = 0$

$\frac{2x^{2}-1}{(2x^{2}+1)^{2} } = 0$

$2 x^{2}-1 = 0$

$2 x^{2} = 1$

$x^{2} = \frac{1}{2}$

$x = \frac{-1}{\sqrt{2} } , x = \frac{1}{\sqrt{2} }$

Step(ii):-

Again Differentiating equation (ii) with respective to 'x'

$f^{ll}(x) = \frac{(2x^{2} +1)^{2} (4x) - 2(2x^{2} +1) (4x)(2x^{2}-1) }{(2x^{2}+1)^{4} }$

put

$x = \frac{1}{\sqrt{2} }$

$f^{ll} (x) > 0$

The absolute minimum value at $x = \frac{1}{\sqrt{2} }$

Step(iii):-

The value of absolute minimum value

$f(x) = \frac{-x}{2x^{2} +1}$

$f(\frac{1}{\sqrt{2} } ) = \frac{-\frac{1}{\sqrt{2} } }{2(\frac{1}{\sqrt{2} } )^{2} +1}$

on calculation we get

The value of absolute minimum value = - 0.3536

Final answer:-

a) The value of absolute minimum value = - 0.3536

b) which is attained at $x = \frac{1}{\sqrt{2} }$

3 0

2 years ago