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2 years ago

(1+1/2)•(1+1/3)•(1+1/4)....(1+1/99)•(1+1/100)

Mathematics

2 answers:

konstantin123 [22]2 years ago

8 0

Step-by-step explanation:

Using Telescoping Product,

(1 + 1/2)(1 + 1/3)(1 + 1/4)...(1 + 1/99)(1 + 1/100)

= (3/2)(4/3)(5/4)...(100/99)(101/100)

= 101/2 = 50.5.

Lostsunrise [7]2 years ago

5 0

Answer:

50.5

Step-by-step explanation:

HIIIIIIIIII :)

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tensa zangetsu [6.8K]

Answer:

7/20. or .035 as a decimal

Step-by-step explanation:

the 2 subtractions would cancel out so it would be -1/4+3/5. then you would times both equations by the opposite bottom number which would turn into -5/20+12/20 which is just -5+12 all under 20 which then when you add -5 and 12 it would be 7. so its 7/20

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2 years ago

If there are 100 students in a class and 10% love math and the rest love reading.How many in percentage like reading.

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The answer is 90%. Because 10% love math you subtract 100

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3 years ago

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Montano1993 [528]

Answer:

M = 2x² - (ax/3) + by

B = - 3x²y + (xy³/3) - cy

Step-by-step explanation:

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2 years ago

The length of a rectangle is three inches more than the width. the area of the rectangle is 180 inches. find the width of the re

ch4aika [34]

We have a rectangle with length L that is 3 inches more than the width W. Then we can write this as:

$L=W+3$

The area of the rectangle is 180 square inches.

We have to find the width W.

As the area is equal to the product of the length and the width, we can write this equation and solve for W as:

$\begin{gathered} A=180 \\ L\cdot W=180 \\ (W+3)\cdot W=180 \\ W^2+3W=180 \\ W^2+3W-180=0 \end{gathered}$

We have a quadratic equation. The roots of this equation will be the mathematical solutions.

We can find the roots using the quadratic formula:

$\begin{gathered} W=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ W=\frac{-3\pm\sqrt[]{3^2-4\cdot1\cdot(-180)}}{2\cdot1} \\ W=\frac{-3\pm\sqrt[]{9+720}}{2} \\ W=\frac{-3\pm\sqrt[]{729}}{2} \\ W=\frac{-3\pm27}{2} \\ W_1=\frac{-3-27}{2}=-\frac{30}{2}=-15 \\ W_2=\frac{-3+27}{2}=\frac{24}{2}=12 \end{gathered}$

The solutions are W = -15 and W = 12.

The first one is not valid, as W has to be greater than 0.

Then, the solution to our problem is W = 12 in.

Answer: the width is W = 12 inches.

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