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valentinak56 [21]
3 years ago
6

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 coworker’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 hour?
Mathematics
1 answer:
Lady_Fox [76]3 years ago
3 0
Answer: 0.237037037 of an hour or 14.2 minutes

Process: Cross Multiply

27/0.4=16/x
16*0.4=6.4
6.4/27=0.237037037 of an hour

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What is the quotient of 4 2/3 divided by 4 1/5 :fraction
Ostrovityanka [42]
Write the two fractions as improper fractions 
4  2/3 is 14/3
<span>4  1/5</span> is 21/5
rewrite
14/3 <span>÷ 21/5
since it is pretty complicated to divide two fractions, 
you change it to multiplication
keep the first fraction, change the division sign to multiplication, then flip the second fraction
(you can remember KEEP, CHANGE, FLIP whenever dealing with division of fractions :) )
14/3 * 5/21
multiply across
(14 * 5) / ( 3 * 21)
</span>70/ 63
simplify to 10/9
this can be written as 1  1/9

Hope this helps
8 0
3 years ago
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What value of x makes this equation true?
UkoKoshka [18]

Answer:

The correct answer is D

Step-by-step explanation:

-190 + -100 = -290

190 + -100 = 90

-10 + -100 = -110

10 + -100 = 90

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Find the particular solution to y'=2sin(x) given the general solution is y=C-2cos(x) and the initial condition y(pi/3)=1
mezya [45]

ANSWER

The particular solution is:

y=2-2 \cos(x)

EXPLANATION

The given Ordinary Differential Equation is

y'=2 \sin(x)

The general solution to this Differential equation is:

y=C-2 \cos(x)

To find the particular solution, we need to apply the initial conditions (ICs)

y( \frac{\pi}{3} ) = 1

This implies that;

C-2 \cos( \frac{\pi}{3} ) = 1

C-2( \frac{1}{2} )= 1

C-1= 1

C= 1 + 1 = 2

Hence the particular solution is

y=2-2 \cos(x)

4 0
3 years ago
Convert 7/66 to a decimal equivalent
wlad13 [49]

\frac{7}{66} = 0.10606

Step-by-step explanation:

\frac{7}{66}

Since we have only one digit in the numerator and the denominator has 2 digits, we have to 0 along with 7, so that it becomes 70, 1 time 66 is 66, 70 - 66 = 4 is the remainder, so the quotient is 0.1, then along with 4 we have to add one 0 , so it becomes 40 which is lesser than 66 so one more 0 is added and then it becomes 400, 6 times 66 is 396, 400 - 396 = 4 again the process going on. The quotient is 0.10606...

4 0
3 years ago
HELP WILL GIVE BRAINLIEST TO THE FIRST ANSWER!!!!<br> is 0=0 no solution or all real numbers???
kenny6666 [7]

Answer:

All real numbers

Step-by-step explanation:

Since 0 does equal 0, and value would be able to work. So any x-value will work. Infinite values for <em>x</em>, resulting in all real numbers.

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