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Anastaziya [24]
3 years ago
14

Taylor baked a cake. Suppose she cut the cake into 8 equal size pieces and 6 people ate all the pieces. Explain how they could h

ave divided the pieces so that everyone ate the same amount of cake.
Mathematics
1 answer:
Karolina [17]3 years ago
5 0
She could've cut the cake into 6 pieces so everyone could have an equal slice of cake or she could've cut it into 12 pieces and everyone could have 2 pieces each equally 

hope this helps :)
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Let C = C1 + C2 where C1 is the quarter circle x^2+y^2=4, z=0,from (0,2,0) to (2,0,0), and where C2 is the line segment from (2,
trapecia [35]
Not much can be done without knowing what \mathbf F(x,y,z) is, but at the least we can set up the integral.

First parameterize the pieces of the contour:

C_1:\mathbf r_1(t_1)=(2\sin t_1,2\cos t_1,0)
C_2:\mathbf r_2(t_2)=(1-t_2)(2,0,0)+t_2(3,3,3)=(2+t_2, 3t_2, 3t_2)

where 0\le t_1\le\dfrac\pi2 and 0\le t_2\le1. You have

\mathrm d\mathbf r_1=(2\cos t_1,-2\sin t_1,0)\,\mathrm dt_1
\mathrm d\mathbf r_2=(1,3,3)\,\mathrm dt_2

and so the work is given by the integral

\displaystyle\int_C\mathbf F(x,y,z)\cdot\mathrm d\mathbf r
=\displaystyle\int_0^{\pi/2}\mathbf F(2\sin t_1,2\cos t_1,0)\cdot(2\cos t_1,-2\sin t_1,0)\,\mathrm dt_1
{}\displaystyle\,\,\,\,\,\,\,\,+\int_0^1\mathbf F(2+t_2,3t_2,3t_2)\cdot(1,3,3)\,\mathrm dt_2
5 0
3 years ago
If 50% is 10 what is 25%​
kaheart [24]

Step-by-step explanation:. The first says “I know that 10 is one-tenth of 100. I will therefore divide 50 by 10. The answer is 5”.

This is fine when the numbers are relatively simple. But suppose the numbers are more complicated.

What is 22% of 46?

Now it’s much less straightforward. You can’t just work out what 22% is, expressed as a fraction, and anyway, it’s not a simple fraction.

Instead, you have to divide 46 into 100 equal parts, and work out what 22 of them would be when added together.

So: 46 ÷ 100 = 0.46 [remember, when you divide by 100, you move the decimal point two places to the left].

0.46 × 22 = 10.12

Answer: 22% of 46 is 10.12.

Hope this helped :)

8 0
3 years ago
Jane drives at a constant rate of 45 miles per hour for 4 hours. How far will she have traveled in that time?
bearhunter [10]
180 miles per hour. 45*4 to get the answer.<span />
6 0
3 years ago
The number of subscribers to a streaming video service doubles each week.
Ilya [14]

Answer:

Step-by-step explanation:

This is an exponential equation that is solved by taking the natural log of both sides.  The equation is

f(x)=2^x

If we are looking for x when f(x) = 64, then

64=2^x

Take the natural log of both sides:

ln(64)=ln(2^x)

The rules of logs allows us to bring the x down in front:

ln(64)=xln(2)

Divide both sides by ln(2) to get:

\frac{ln(64)}{ln(2)}=x

Do this on your calculator to get that x = 6.

You could also have just gone right to your calculator and started raising 2 to consecutive powers starting at like 3 or 4 to eventually get that 2 to the 6th power is equal to 64, but for the basics of solving log equations, you need to know how to do this.

5 0
3 years ago
Read 2 more answers
HELP ASAP I GIVE 15 POINTS AND BRAINLIEST
IgorC [24]

Answer:

110%

Step-by-step explanation:

if each square is a whole, then when one is filled, it's 100% . 10% of the other square is filled so you just add the two.

4 0
3 years ago
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