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2 years ago

Sophia had 64¢ until she spent 1 quarter. How much money does Sophia have now?

Mathematics

1 answer:

aleksklad [387]2 years ago

7 0

Answer:

Sophia now has 39 cents.

Step-by-step explanation:

One quarter = 25 cents

Since Sophia had 64 cents until she spent 25 cents (1 quarter).

So we subtract 25 cents from 64 cents.

$\: \: \: 64 \: cents \\ \frac{ - 25 \: cents}{ \: \: \: 39 \: cents}$

Therefore, Sophia now has 39 cents.

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A rectangle initially has width 7 meters and length 10 meters and is expanding so that the area increases at a rate of 8 square

Tems11 [23]

Answer:

The length of rectangular is increasing at a rate 0.5714 meters per hour.

Step-by-step explanation:

We are given the following in the question:

Initial dimensions of rectangular box:

Length,l = 10 m

Width,w = 7 m

$\dfrac{dA}{dt} = 8\text{ square meters per hour}\\\\\dfrac{dw}{dt} = 40\text{ centimeters per hour} =0.4\text{ meters per hour}$

We have to find the rate of increase of length.

Area of rectangle =

$A = l\times w$

Differentiating we get,

$\displaystyle\frac{dA}{dt} = \frac{dl}{dt}w + \frac{dw}{dt}l$

Putting values, we get,

$8 = \dfrac{dl}{dt}(7) + (0.4)(10)\\\\\dfrac{dl}{dt}(7) = 8 -4\\\\\dfrac{dl}{dt} \approx 0.5714$

Thus, the length of rectangular is increasing at a rate 0.5714 meters per hour.

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2 years ago

PLEASE HELP WITH MATH! 100 PTS

timurjin [86]

Answer:

1.) step No.3 x(2x-5) - (2x-5)

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What is the inverse of g? <br> g(x) = 3/x+7

ikadub [295]

Given function :-

$\bf \implies g(x) = \dfrac{3}{x}+7$

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$\bf \implies x = \dfrac{3}{y}+7$

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Replace y with f-¹(x) .

$\implies\boxed{\red{\bf f^{-1}(x) = \dfrac{3}{x-7} }}$

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2 years ago

Citizens under the age of 18 are not allowed to vote." Part A: Write an inequality to show the age of citizens who are allowed t

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The age of citizens allowed to vote is x:
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