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3 years ago

11

Mikayla and her two friends made a pizza and cut it into 8 equal sized slices. Of makayla and her friends ate 5 slice of pizza w

hat decimal represents the portion of pizza that remains

1 answer:

Nikitich [7]3 years ago

8 0

Answer:

0.375

Step-by-step explanation:

1/4= 0.25

0.25/2=1/8

0.125=1/8

0.125x3=3/8

0.375=3/8

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In 48 days, they would have consumed 108 gallons, and have 22 left, so yeah. 48 days

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Gnesinka [82]

Answer:

5/4

Step-by-step explanation:

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5 0

2 years ago

W/2 - 6= -10 Solve for W<br><br> Please and thank you because I’m stupid

Whitepunk [10]

Answer:

w=-8

Step-by-step explanation:

1. add 6 to -10 (-4)

2. multilpy by 2 (-8)

3 0

3 years ago

Jill’s room is 12 feet long and 10 feet wide. she made a scale drawing of the room with a scale of 0.5 inches = 2 feet. what is

umka21 [38]

12/2=6.
6X0.5=3
so the scale drawing is 3 inches long
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5X0.5=2.5
so the width of the scale drawing is 2.5 inches
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3 0

3 years ago

Determine determine whether the following geometric series converges or diverges. if the series converges find its sum.

Lilit [14]

For starters,

$\dfrac{3^k}{4^{k+2}}=\dfrac{3^k}{4^24^k}=\dfrac1{16}\left(\dfrac34\right)^k$

Consider the $n$ th partial sum, denoted by $S_n$ :

$S_n=\dfrac1{16}\left(\dfrac34\right)+\dfrac1{16}\left(\dfrac34\right)^2+\dfrac1{16}\left(\dfrac34\right)^3+\cdots+\dfrac1{16}\left(\dfrac34\right)^n$

Multiply both sides by $\frac34$ :

$\dfrac34S_n=\dfrac1{16}\left(\dfrac34\right)^2+\dfrac1{16}\left(\dfrac34\right)^3+\dfrac1{16}\left(\dfrac34\right)^4+\cdots+\dfrac1{16}\left(\dfrac34\right)^{n+1}$

Subtract $S_n$ from this:

$\dfrac34S_n-S_n=\dfrac1{16}\left(\dfrac34\right)^{n+1}-\dfrac1{16}\left(\dfrac34\right)$

Solve for $S_n$ :

$-\dfrac14S_n=\dfrac3{64}\left(\left(\dfrac34\right)^n-1\right)$

$S_n=\dfrac3{16}\left(1-\left(\dfrac34\right)^n\right)$

Now as $n\to\infty$ , the exponential term will converge to 0, since $r^n\to0$ if $0$ . This leaves us with

$\displaystyle\lim_{n\to\infty}S_n=\lim_{n\to\infty}\sum_{k=1}^n\frac{3^k}{4^{k+2}}=\sum_{k=1}^\infty\frac{3^k}{4^{k+2}}=\frac3{16}$

8 0

3 years ago

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