Ask question

Ask question

All categories

3 years ago

8

Sarah is training for a bike race . she rides her bikes 5 3/4 miles in 1/3 hour what is Sarah's rate in miles per hour

1 answer:

enot [183]3 years ago

7 0

17 1/4 miles per hour

You might be interested in

Which is not equivalent to the rest 13/20 66% 195/300 0.6500

Ganezh [65]

Hey there! :)

Let's change all the fractions and percents to decimal.
_____________________________________________________________

When changing fractions to decimal, divide the numerator by the denominator
When changing percents to decimal, remove the % sign and move the decimal to places to the left.
_____________________________________________________________

13 ÷ 20 = 0.65
66% = 0.66
195 ÷ 300 = 0.65
0.6500 = 0.65
_____________________________________________________________

The answer is 66% because it is the only one that isn't equivalent to 0.65

Hope this helps :)

8 0

3 years ago

A theater seats 2,816 people. The first row has 26 seats while the last row has 150 seats. Assuming the number of seats per row

wolverine [178]

Answer:

The theater has 32 rows

Step-by-step explanation:

The rule of the sum of n terms of an arithmetic sequence is S $_{n}$ = $\frac{n}{2}$ (a + l), where

a is the first term

l is the last term

n is the number of the terms

∵ The number of seats per row follows an arithmetic sequence

∵ The first row has 26 seats

∴ a = 26

∵ The last row has 150 seats

∴ l = 150

∵ The theater seats are 2,816

∴ S $_{n}$ = 2,816

→ Substitute these values in the rule of the sum above to find n

∵ 2,816 = $\frac{n}{2}$ (26 + 150)

∴ 2,816 = $\frac{n}{2}$ (176)

∴ 2,816 = 88n

→ Divide both sides by 88

∴ 32 = n

∵ n represents the number of the rows

∴ The theater has 32 rows

3 0

2 years ago

The sum of 3 consecutive integers is 27 less than the least of the integers..

zysi [14]

Answer: -13, -15

Step-by-step explanation:

If x is the smallest integer, then:

x + (x + 1) + (x + 2) = x - 27

3x + 3 = x - 27

2x = -30

x = -15

Integers: -15, -14, -13

5 0

2 years ago

A flower pot is shaped like a cylinder with a diameter of 15 inches and a height of 22 inches.

FinnZ [79.3K]

Answer:

V=3888 in³

Step-by-step explanation:

V=πr^2h

V=π x 7.5^2 x 22

V=3888 in³

5 0

3 years ago

The sum of 30 times (1/3)^(n-1) from 1 to infinity

sergeinik [125]

Let

$S_n=\displaystyle1+\frac13+\frac1{3^2}+\cdots+\frac1{3^n}$

Then

$\dfrac13S_n=\displaystyle\frac13+\frac1{3^2}+\frac1{3^3}+\cdots+\frac1{3^{n+1}}$

and

$S_n-\dfrac13S_n=\dfrac23S_n=1-\dfrac1{3^{n+1}}\implies S_n=\dfrac32-\dfrac1{2\cdot3^n}$

and as $n\to\infty$ , we end up with

$\displaystyle\lim_{n\to\infty}S_n=\lim_{n\to\infty}\sum_{i=1}^{n+1}\frac1{3^{i-1}}=\lim_{n\to\infty}\left(\frac32-\frac1{2\cdot3^n}\right)=\frac32$

So we have

$\displaystyle\sum_{n=1}^\infty30\left(\frac13\right)^{n-1}=30\cdot\frac32=45$

8 0

3 years ago