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3 years ago

7

Carter Road his bike 9/10 of a mile from his house to his grandmothers house. On his way back home, he rode 3/8 of a mile before

the tire on his bike went flat. How much farther must he walk to get home?

1 answer:

jek_recluse [69]3 years ago

3 0

Answer:

Step-by-step explanation:

Carter rode his bike 9/10 of a mile from his house to his grandmothers house. This means that the distance from Carter's house to his grandmother's house is 0.9 miles. On his way back home, he rode 3/8 of a mile before the tyre on his bike went flat. This means that he rode 0.375 miles before his tyre went flat. The distance he must walk before he gets home will be the total distance from home minus the distance that he rode. It becomes

0.9 - 0.375 = 0.575 miles

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(w-x)^2 + 26x; if w = 6 and x = -1

kati45 [8]

Answer:

$\boxed{\boxed{\sf 23}}$

Step-by-step explanation:

$\boxed{\sf Hi\: there!}$

$\sf (w-x)^2 + 26x$

$\sf w=6$

$\sf x=-1$

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→ $\sf \left(6-\left(-1\right)\right)^2+26\left(-1\right)$

→ $\sf 23$

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2 years ago

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How do you solve 3x+7=x

vredina [299]

3x + 7 = x

First, subtract 3x from both sides. / Your problem should look like: 7 = x - 3x
Second, simplify x - 3x to -2x. / Your problem should look like: 7 = -2x
Third, divide both sides by -2. / Your problem should look like: $\frac{7}{-2}$ = x
Fourth, simplify $\frac{7}{-2}$ to $-\frac{7}{2}$ / Your problem should look like: $- \frac{7}{2}$ = x
Fifth, switch sides. / Your problem should look like: x = $-\frac{7}{2}$

Answer as fraction: $-\frac{7}{2}$
Answer as decimal: -3.5

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The weight of 1000 identical samples of a substance is 0.1 pound. what is the weight of 10,000 samples

Damm [24]

0.1 samples I think I'm not sure

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A Pac-Man poster is the shape of three-fourths of a circle with a diameter of 18 inches and two sides that are 9 inches each. Wh

slava [35]

Answer:

60.39 inches

Step-by-step explanation:

Given that:

A Pac-Man poster which is having three fourth of a circle and there are two sides.

Diameter of circle = 18 inches

Sides of Pac-Man poster = 9 inches

To find:

Perimeter of the Pac-Man poster.

Solution:

Perimeter of a figure is nothing but equal to the periphery i.e. the outer area of the circle/figure.

Perimeter of a circle is given by the formula:

Perimeter = $2\pi r$

$r$ is the radius of the circle.

Radius is half of perimeter.

$r=\dfrac{18}{2} = 9\ inches$

Perimeter of the Pac-Man poster = Perimeter of $\frac{3}{4}$ circle + 2 sides

Perimeter of the Pac-Man poster = $\frac{3}{4}\times 2\times \pi \times 9$ + 9+9 = 42.39+28 = <em>60.39 inches</em>

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2 years ago

If y = 3x^3 - 2x and dx/dt equals 3, find dy/dt when x = -2. Give only the numerical answer. For example, if dy, dt = 4, type on

Nadya [2.5K]

Answer:

$\frac{dy}{dt} = 102$

Step-by-step explanation:

<u>step(i)</u>

Given function y = 3 x³ - 2 x ... (i)

Differentiating equation (i) with respective to 'x'

$\frac{dy}{dx} = 3 (3 x^{2} ) - 2(1)$

Given x = -2

$(\frac{dy}{dx} ) x_{=-2} = 3 (3 (-2)^{2} ) - 2(1)$

$(\frac{dy}{dx} ) x_{=-2} = 36 -2 =34$

<u><em>Step(ii):-</em></u>

<u><em>we know that </em></u>

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

Given $\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34$

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

substitute values $\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34$

⇒ $34 = \frac{\frac{dy}{dt} }{3 }$

cross multiplication , we get

$\frac{dy}{dt} = 34( 3 ) = 102$

<u><em>Final answer</em></u>:-

$\frac{dy}{dt} = 34( 3 ) = 102$

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3 years ago