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3 years ago

Rebecca trains for a marathon. She runs 6.8 miles in 34 minutes. Determine the

1 answer:

7 0

pretty sure it’s just 6.8 / 34. that’s 0.2, which is how much rebecca covers a minute

multiply 0.2 by the ten minutes you want to count, which is 2

therefore , rebecca covered 2 miles in 10 minutes :)

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Jason baked 7 pans of brownies. He gave 1/4 of the brownies to his two sisters. How many pans of brownies did he give to his sis

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Um i think it's 1.75

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3 years ago

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3. Solve for x. Round to the nearest tenth * 25 16 22 Your answer

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4 years ago

In how many ways can write the ratio as a fraction?

Klio2033 [76]

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3 ways

Step-by-step explanation:

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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

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

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3 years ago

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210 balloons are filled for a reception this is 70% of the entire number balloons purchased which equation can be used to find t

Yuri [45]

Answer:

300 balloons.

Step-by-step explanation:

Given:

210 balloons are filled for a reception this is 70% of the entire number balloons purchased.

Question asked:

Which equation can be used to find the total number of balloons purchased ?

Solution:

Let total number of balloons purchased = $x$

70% of the number of balloons purchased = 210

$\frac{70}{100} \times x=210\\ \\ \frac{7x}{10} =210\\ \\ By\ cross\ multiplication\\ \\ 7x=210\times10\\ \\7x=2100\\\\ By\ dividing\ both\ sides\ by\ 7\\ \\ \frac{7x}{7} =\frac{2100}{7} \\ \\ x=300$

Therefore, total number balloons purchased was 300.

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3 years ago