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Harlamova29_29 [7]
3 years ago
7

Kaitlan sold 60% of her hockey card collection at the fall market sale. If she sold 240 cards, how many cards were in her collec

tion?
Mathematics
1 answer:
antiseptic1488 [7]3 years ago
8 0

Answer:

400

Step-by-step explanation:

Ok so if 60% of the total is 240 than create an expression:

60% of x=240

Now divide both sides by 3:

20% of x=80

Multiply both sides by 5 ( because 5 times 30 is 100):

100% of x=400

Thats the answer hope this helped! :)

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The graph of f is given in the figure to the right. Let ​A(x)equals=Integral from 0 to x f left parenthesis t right parenthesis
Tpy6a [65]

Answer:

A(4)=-4\pi

A(8)=-4\pi +8

A(12)=-4\pi +16

A(14)=-4\pi +15

Step-by-step explanation:

we are given

A(x)=\int\limits^x_0 f{x} \, dx

Calculation of A(4):

we can plug x=4

A(4)=\int\limits^4_0 f{x} \, dx

Since, this curve is below x-axis

so, the value of integral must be negative

and it is quarter of circle

so, we can find area of quarter circle

radius =4

A(4)=-\frac{1}{4}\times \pi \times (4)^2

A(4)=-4\pi

Calculation of A(8):

we can plug x=8

A(8)=\int\limits^8_0 f{x} \, dx

we can break into two parts

A(8)=\int\limits^4_0 f{x} \, dx+\int\limits^8_4 f{x} \, dx

now, we can find area and then combine them

A(8)=-4\pi +\frac{1}{2}\times 4\times 4

A(8)=-4\pi +8

Calculation of A(12):

we can plug x=12

A(12)=\int\limits^12_0 f{x} \, dx

we can break into two parts

A(12)=\int\limits^4_0 f{x} \, dx+\int\limits^8_4 f{x} \, dx+\int\limits^12_8 f{x} \, dx

now, we can find area and then combine them

A(12)=-4\pi +\frac{1}{2}\times 8\times 4

A(12)=-4\pi +16

Calculation of A(14):

we can plug x=14

A(14)=\int\limits^14_0 f{x} \, dx

we can break into two parts

A(14)=\int\limits^4_0 f{x} \, dx+\int\limits^8_4 f{x} \, dx+\int\limits^12_8 f{x} \, dx+\int\limits^14_12 f{x} \, dx

now, we can find area and then combine them

A(14)=-4\pi +\frac{1}{2}\times 8\times 4-\frac{1}{2}\times 1\times 2

A(14)=-4\pi +16-1

A(14)=-4\pi +15

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nevsk [136]
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The position function for the movement of a particle is given by s=(t^3+1)^2 where s is measure in feet and t is measured in sec
Ray Of Light [21]

Answer:

The position of particle at 1 second is 4 feet.            

Step-by-step explanation:

We are given the following in the question:

s(t)=(t^3+1)^2

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We have to evaluate the position at 1 second.

Putting t = 1 in the position function, we get.

s(1)=((1)^3+1)^2\\s(1) = 4

Thus, the position of particle at 1 second is 4 feet.

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A retailer marks up their furniture 33% over wholesale prices. If a dresser costs $975 wholesale, what does the retailer charge?
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Answer:

$1296.75

Step-by-step explanation:

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