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Leviafan [203]
3 years ago
10

Rhonda has $315 in her saving account. She wants to save at least $585. Write and

Mathematics
1 answer:
Roman55 [17]3 years ago
5 0

Answer:

0.53

Step-by-step explanation:

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Which situation can be modeled by the inequality 60−15x≥760-15x≥7?                            1 )You borrowed $60 from your olde
aliina [53]
The answer is number 4 "You have $60 to spend on hats at the mall, but you need to save at least $7 for lunch. You plan to spend the rest on hats that cost $15 each including tax"
60-$15x refers to "you have $60 to spend on hats" and "to spend the rest on hats" while <7 for ''save at least $7 for lunch"

5 0
3 years ago
Add.<br> (8y + 6) + (4y + 5)<br> Submit
Inga [223]

Answer:

12y + 11

Step-by-step explanation:

To add them you would add like terms. That means you would add those with y together and those without together.

8y + 4y + 6 + 5 = 12y + 11

If you want to solve for y, subtract 11 from both sides then divide both sides by 12.

6 0
3 years ago
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The volume of 2 spheres have a ratio of 27:125. what is the ratio of their radii
Citrus2011 [14]
The volume is scale factor³
Take the square root of the volume ratio

\sqrt{ \frac{27}{125} } which is 
\frac{ \sqrt{27} }{ \sqrt{125} }

\frac{3}{5}

The ratio of their radii is 3 : 5
3 0
3 years ago
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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 nth 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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SIMPLIFY 1/4 × 1/3 - 1/5× 1/4 + 1/4 × 1/6
MrMuchimi

Answer:

3/40

Step-by-step explanation:

1/4 x 1/3 - 1/5 x 1/4 +1/4 x 1/6

(1/4 x 1/3) - (1/5 x 1/4) + (1/4 x 1/6)

1/12 - 1/20 + 1/24

1/30 + 1/24

3/40

6 0
3 years ago
Read 2 more answers
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