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Stells [14]
4 years ago
8

Alina is able to swim at a rate of about 2.5 miles per hour. Talia is able to swim at a rate of 1.8 meters per second. Which sta

tement comparing the two swimmers is accurate?
1 mile 1,609 meters
Mathematics
1 answer:
bonufazy [111]4 years ago
5 0

Answer:

1 mile = 1,609 meters is the key to converting the rates of the two swimmers

Step-by-step explanation:

there are 60 seconds in a minute and 60 minutes in an hour

so 1.8 meters/sec x 60 sec/min x 60 min/hr = 6480 meters/hr

now we convert meters to miles

6480 meters/1 hr x 1 mile/1609 meters = roughly 4 miles/hr (4.027)

or we can convert the other rate to meters/sec

2.5 mi/hr x 1hr/60 min x 1min/60 sec = 0.00069444 mi/sec

then convert miles to meters

0.00069444 mi/sec x 1609meters/ 1mi = roughly 1.1 meters/sec (1.117)

You might be interested in
Find the value of x in the equation x⁄ 4 + x⁄14 + x⁄17 = 71
Morgarella [4.7K]

Hello from MrBillDoesMath!

Answer:

33769/181

Discussion:

Each term contains "x" so factoring it out gives

x( 1/4 + 1/14 + 1/17)  = 71       (*)

Use common factor (17*14*4  = 952) as the denominator to combine terms:

1/4 =  (17*14)/ 952  = 238/952

1/14 = (17*4)/952 = 68/952

1/17 = (14*4)/952  = 56/952

so 1/4 + 1/14 + 1/17 =    (238 + 68 + 56)/ 952 =  362/952 = 181/476

Substituting in (*) gives

x ( 181/476)  = 71                       => multiply both sides by 476/181

x = (71 * 476)/181                       => 71* 476 =33769

x = 33769/181

Thank you,

MrB

4 0
4 years ago
University Theater sold 465 tickets for a play. Tickets cost $23 per adult and $13 per senior citizen. If total receipts were $7
liq [111]

<u>Answer:</u>

355 senior citizen tickets were sold.

<u>Step-by-step explanation:</u>

Assuming a to the the ticket of adults and s to be the ticket of senior citizens, we can write two equations as:

a +s=465 --- (1)

23a+13s=7145 --- (2)

From equation 1, a=465-s.

Substitute a in equation 2 to get:

23 (465-s) + 13s = 7145

10695 - 23s +13s =7145

-10s = -3550

s = 355

Therefore, there were 355 senior citizen tickets sold.

8 0
3 years ago
A form of reasoning called_ is the process of forming general ideas and
hodyreva [135]

Answer:

Inductive

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please help me 10 points pleaseee helppp
cestrela7 [59]
There’s a whole bunch going on i don’t know what to help you with
7 0
3 years ago
A card is drawn from a regular deck of 52 cards and is then put back in the deck. A second card is drawn. What is the probabilit
atroni [7]

Answer:

0.5,0.25,0.125

Step-by-step explanation:

Given that a card is drawn from a regular deck of 52 cards and is then put back in the deck. A second card is drawn.

Since here we have the draws with replacement we can say each trial is independent of the other.

i.e. the first card does not affect the second card at all.

the probability that:

a) The first card is red.

=\frac{26}{52} =0.50

(b) The second card is hearts given that the first is red.

=P(second is hearts)

= 0.25

(c) The first card is red and the second is hearts.

= 0.5*0.25\\=0.125

(since independent)

4 0
4 years ago
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