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3 years ago

Convert fraction with numerator 9 and denominator 16 to a decimal. 0.4225 0.5225 0.5625 0.7455

Mathematics

2 answers:

OleMash [197]3 years ago

7 0

5625 is the answer. hope it helps!

liberstina [14]3 years ago

4 0

Answer:

.5625

Step-by-step explanation:

We know that

9/16

is the same as

9÷16

We have the equation:

9 ÷ 16 = 0.5625

Calculated to 4 decimal places.

0. 5 6 2 5

1 6 9. 0 0 0 0

− 0

9 0

− 8 0

1 0 0

− 9 6

4 0

− 3 2

8 0

− 8 0

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there are 18 bikes in the bike rack there are four more blue bikes than yellow bikes and two less yellow bikes and green bikes h

jeyben [28]

So
green bikes:20
yellow bikes:20. but don't really understand
blue bikes:22

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3 years ago

Robin has a certain number of dimes in his pocket. If the dimes were pennies, he would have $1.08 less than he has now. How many

laiz [17]

Answer:

Robin will have 12 dimes in his pocket.

Step-by-step explanation:

Since;

D = One dime = $0.1

P = One penny = $0.01

Amount to have less = $1.08

From the above, when a dime is changed to a penny, the amount held by Robin will decrease by $0.09. That is,

Decease in holding = D - P = $0.1 - $0.01 = $0.09

Therefore, we have:

Number of dimes = Amount to have less / Decease in holding = $1.08 / $0.09 = 12 dimes

Therefore, Robin will have 12 dimes in his pocket.

4 0

2 years ago

An artist made purple paint by mixing 1/2 quart of red paint and 3/4 quart of blue paint. What is the ration of red paint to blu

Orlov [11]

Answer:

(1/2)/(3/4) = (1/2)(4/3) = 2/3

Step-by-step explanation:

4 0

3 years ago

Billy has 95 stickers. He shares 4 with<br> Harry. How many stickers will Billy have?

Leni [432]

Answer: 91

Step-by-step explanation:

95 - 4 (That he gave to Harry) = 91

Hope this helped!

7 0

3 years ago

Read 2 more answers

For the following telescoping series, find a formula for the nth term of the sequence of partial sums

gtnhenbr [62]

I'm guessing the sum is supposed to be

$\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}$

Split the summand into partial fractions:

$\dfrac1{(5k-1)(5k+4)}=\dfrac a{5k-1}+\dfrac b{5k+4}$

$1=a(5k+4)+b(5k-1)$

If $k=-\frac45$ , then

$1=b(-4-1)\implies b=-\frac15$

If $k=\frac15$ , then

$1=a(1+4)\implies a=\frac15$

This means

$\dfrac{10}{(5k-1)(5k+4)}=\dfrac2{5k-1}-\dfrac2{5k+4}$

Consider the $n$ th partial sum of the series:

$S_n=2\left(\dfrac14-\dfrac19\right)+2\left(\dfrac19-\dfrac1{14}\right)+2\left(\dfrac1{14}-\dfrac1{19}\right)+\cdots+2\left(\dfrac1{5n-1}-\dfrac1{5n+4}\right)$

The sum telescopes so that

$S_n=\dfrac2{14}-\dfrac2{5n+4}$

and as $n\to\infty$ , the second term vanishes and leaves us with

$\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}=\lim_{n\to\infty}S_n=\frac17$

7 0

3 years ago