Mathematics: While shopping for clothes, Daniel spent $34 less than 3 times what Jaclyn spent. Daniel spent $14. Write and solve an equation to find how much Jaclyn spent. Let x represent how much Jaclyn spent. ___x - ___ = ___ Jaclyn spent $

While shopping for clothes, Daniel spent $34 less

sketchers

28.01.2022

Jaclyn spent $48

Step-by-step explanation:

3x - 34 = 14

3x = 14+34

X = 48/3 = 16

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iwannasleep

03.06.2023

r=1

So,radius of the circle,when the rate of increase in the area of the circle is numerically equal to the rate of increase in its circumference, is 1.

Step-by-step explanation:

Area of the circle= $A=\pi r^{2}$

Circumference of circle= $C=2\pi r$

Both area and circumference of circle is increasing at the same rate.

Increase in Area of the circle=Increase in Circumference of the circle

$\frac{dA}{dt} =\frac{dC}{dt}$

$\frac{d(\pi*r^{2})}{dt} =\frac{d(2*\pi*r)}{dt}$

$2*\pi *r*\frac{dr}{dt}= 2*\pi *\frac{dr}{dt}$

By cancelling the common terms we will get:

r=1

So,radius of the circle,when the rate of increase in the area of the circle is numerically equal to the rate of increase in its circumference, is 1.

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