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3 years ago

Use the commutative property to solve for n 98,551+2,851=2,841+n n=

1 answer:

5 0

If the commutative property indicates that a+b=b+a with the problem being 98,551+2,841=2,841+n, its a pretty safe assumption that n would equal 98,551. a would be 98,551 as b would be 2,841.

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A certain ball is dropped from a height of x feet. It always bounces up to 2/3 x feet. Suppose the ball is dropped from 10 feet

galina1969 [7]

Given that if a ball is dropped from x feet, it bounces up to 2/3 x feet.

And the ball is dropped from 10 feet, that is x=10 feet,

So,before the first bounce it travels 10 feet distance.

Between first and second bounce it travels $\frac{2}{3}* 10 + \frac{2}{3} * 10 = 20*(\frac{2}{3})$

Between second and third bounce, it travels $20*(\frac{2}{3})^{2}$

Between third and fourth bounce, it travels $20*(\frac{2}{3}) ^{3}$

Like that between 29th and 30th bounce, it travels $20*(\frac{2}{3} )^{29}$

Hence total distance traveled is

$10+20*(\frac{2}{3} )+20*(\frac{2}{3})^{2} + 20*(\frac{2}{3}) ^{3}+......+20*(\frac{2}{3})^{29}$

= $10+20[(\frac{2}{3}) +(\frac{2}{3}) ^{2} +(\frac{2}{3}) ^{3} +.....+(\frac{2}{3} )^{29} ]$

= $10+20[\frac{\frac{2}{3}*(1-(\frac{2}{3})^{29}) }{1-\frac{2}{3} }]$

= 10+20*2*(1- $(\frac{2}{3}) ^{29}$ )

= 49.9997 feet ≈ 50 feet approximately.

7 0

3 years ago

Read 2 more answers

A car is going at 80 mph. how long will it take to cover 20 miles

Lilit [14]

30 = 80*t
t = 30/80 = 3/8 hr
3/8 hr * 60 min/hr = 180/8 = 22.5 min

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3 years ago

Solve the equation<br> 9x² – 29x – 28 = 0<br> Give your answers to 2 decimal places when appropriate

andrew-mc [135]

Answer:

x = 4 or x = 0.78

Step-by-step explanation:

9x² – 29x – 28 = 0

2 roots: x = ((-(-29) ± √(-29)² - 4 x 9 x (-28)) / (2 x 9)

= (29 ± √841 + 1008) / 18

= (29 ± 43) /18

x = 72 /18 = 4 or

x = -14 /18 = - 0.78

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3 years ago

Makayla has 2 yards of ribbon to use for a craft project she cuts the ribbon into pieces that are 1/4 yard long how many pieces

olga55 [171]

Answer:

Step-by-step explanation:

2/ 1/4 = 8

6 0

3 years ago

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Can some one explain how to do this please?

AleksandrR [38]

N = x/y because its in the middle

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3 years ago