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Tcecarenko [31]
3 years ago
11

Irina rode her bike to work at an average speed of 16 miles per hour. It started to rain , so she got a ride home along the same

route in her coworkers's car at an average speed of 27 miles per hour. If Irina's ride home in the car took 24 minutes (0.4 of an hour), how many hours was her bike ride to work, to the nearest tenth of an hot?
Mathematics
1 answer:
Lyrx [107]3 years ago
4 0
Here, the distance traveled is not given, but Irina's bike-riding speed is:  it is 16 mph.

Let the distance traveled be d.  Then d = (27 mph)(0.4 hr) = 10.8 miles.

By bicycle, distance = rate times time.  Here, 10.8 miles = (16 mph)(time), and so

                10.8 mi
time = --------------- = 0.675 hour (40.5 minutes).
             16 mph
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Sara ran 10km in 2.5 hours. Katerina ran 7.5 km in 2 hours. Candice ran 9.5 km in 2.25 hours. Who had the fastest average speed?
Arisa [49]

10 km ÷ 2.5 hours = 4 km/h — This is Sara's record

7.5 km ÷ 2 hours = 3.75 km/h — This is Katerina's record

9.5 km ÷ 2.25 hours = 4.2 km/h — This is Candice's record

Therefore, the answer is Candice had the fastest average speed.

6 0
3 years ago
Given that f(x) = 7x^2 − 84 = 0, find x.
jasenka [17]

Answer:

x = 3.464

Step-by-step explanation:

7x^2 - 84 = 0

7x^2 = 84

x^2 = 12

x= 3.464

8 0
3 years ago
(4x+5) (3x+1) -3 (x+1)<br>​
ollegr [7]

Answer:

-36x^3 - 69x^2 - 34x - 5

Step-by-step explanation:

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

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

12x^2 + 4x + 15x +5

Combine like terms

12x^2 + 19x + 5 (-3x - 1)

-36x^3 -57x^2 - 15x^2 -5

Combine like terms

-36x^3 - 69x^2 - 34x - 5

4 0
2 years ago
What is the decimal equivalent o the rational number 6/11
koban [17]
Divide 6 by 11: 6/11=.5454545 :)
5 0
3 years ago
Match each as either linear or non-linear. HELP​
Virty [35]

Answer:

<u>Linear</u>

y=-x

y  =  \frac{x}{9}

-  \frac{2}{3}x + 3y = 1

<u>Non linear</u>

y =  \frac{4}{x}

\frac{2}{y}  = x

{x}^{2}  +  {y}^{2}  = 1

Step-by-step explanation:

Linear equations have the highest degree to be 1.

Therefore y=-x is linear.

y =  \frac{x}{9}  \: is \: also \: linear.

y =  \frac{4}{x}  \implies \: xy = 4

The degree of this equation is 2.

It is non-linear

-  \frac{2}{3}x + 3y = 1

is also linear.

\frac{2}{y}  = x \implies \: xy = 2....non - linear

{x}^{2}  +  {y}^{2}  = 1.....non - linear

7 0
3 years ago
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