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Andrei [34K]
3 years ago
11

Which is bigger 40% of 200 or 1/3 of 150

Mathematics
1 answer:
Gnesinka [82]3 years ago
3 0
First find out what 40% of 200 is
200 times .4 is 80

then find out what 1/3 of 150 is
divide 150 by three, which is 50
if it was 2/3 instead of 1/3, you would multiply 50 by 2

40% of 200 is greater
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3 years ago
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Three friends eat lunch together. if the bill comes to $21 plus 10% of tax,how much will each person owe
steposvetlana [31]
So first you have to multiply 21 by .1 to figure out ten percent 
you then get 2.1 
you add 21 and 2.1 together and get 23.1
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5 0
3 years ago
find the slope of the curve y=x^2-2x-5 at the point P(2,5) by finding the limit of secant slopes through point P
Fynjy0 [20]

The point (2, 5) is not on the curve; probably you meant to say (2, -5)?

Consider an arbitrary point Q on the curve to the right of P, (t,y(t))=(t,t^2-2t-5), where t>2. The slope of the secant line through P and Q is given by the difference quotient,

\dfrac{(t^2-2t-5)-(-5)}{t-2}=\dfrac{t^2-2t}{t-2}=\dfrac{t(t-2)}{t-2}=t

where we are allowed to simplify because t\neq2.

Then the equation of the secant line is

y-(-5)=t(x-2)\implies y=t(x-2)-5

Taking the limit as t\to2, we have

\displaystyle\lim_{t\to2}t(x-2)-5=2(x-2)-5=2x-9

so the slope of the line tangent to the curve at P as slope 2.

- - -

We can verify this with differentiation. Taking the derivative, we get

\dfrac{\mathrm dy}{\mathrm dx}=2x-2

and at x=2, we get a slope of 2(2)-2=2, as expected.

4 0
3 years ago
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Gemiola [76]
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4 0
3 years ago
Lucy used 3 gal of paint to cover 900 ft. She needs to cover a total of 1,100 ft?.
insens350 [35]

Step-by-step explanation:

3 gal = 900 ft

... gal = 1100 ft

So, each gal is used for cover 300 ft,

Then,

\sf \frac{1100}{900}  \times 3 =  \frac{11}{3}  =  \boxed{ \bold{ \red{3 \frac{2}{3}  \: gal}}}

We need <u>3 2/3 gal</u> to cover 1100 ft.

Hope it helps!

7 0
2 years ago
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