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asambeis [7]
3 years ago
12

A radio station plays yesterday by the beatles once every 2 days. Another station plays the same song once every 3 days. How man

y times in 30 days will both radio stations play the same song on the same day?
Mathematics
1 answer:
mel-nik [20]3 years ago
8 0

Both radio stations will play the same song on the same day <u>5 times</u> in 30 days.

<u><em>Explanation</em></u>

A radio station plays yesterday by the Beatles once every 2 days. Another station plays the same song once every 3 days.

For finding the day on which both radio stations will play the same song, we will just <u>find the LCM(Least Common Multiplier) of 2 and 3</u>. So, the LCM will be 6.

That means, <u>on every 6th day, both radio stations will play the same song</u>.

So, the number of times that both radio stations will play the same song on the same day in 30 days =(\frac{30}{6})= 5

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justin needs to take a taxi to the airport. it will coast $1.75 for the first mile and $0.50 for each additional 1/4 of a mile .
lora16 [44]
$57.75 because 14 divided by .25 is 56 and then plus the first mile is 57.75
5 0
3 years ago
3. For y = 5 + 8x when x = 4, what<br> does y equal?
ASHA 777 [7]

Answer:

37

Step-by-step explanation:

substitute 4 for x then multiply and add

y=5+8(4)

y=37

4 0
3 years ago
Read 2 more answers
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
konstantin123 [22]

Consider the given parallelogram KLMN.

Prove: \angle N \cong \angle L, \angle K \cong \angle M

 Statement                                                                       Reason

1. KL \parallel NM, KN \parallel LM               Definition of parallelogram

2. \angle K+ \angle N = 180^\circ                 Same Side interior angle theorem

   \angle L+ \angle M = 180^\circ

  \angle K+ \angle L = 180^\circ

3. \angle K+ \angle N=\angle K+ \angle L   Substitution property

  \angle L+ \angle M=\angle K+ \angle L

4. \angle N = \angle L                                 Subtraction property of equality

  \angle M = \angle K

Subtraction property of equality tells us that if we subtract some number from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same.

5.  \angle N \cong \angle L                         Angle Congruence Postulate

  \angle M \cong \angle K

When two angles are equal, then they are said to be congruent by Angle congruence postulate.

3 0
3 years ago
Read 2 more answers
Without graphing predict weather the function y= (1/2)x shows exponential growth or decay. Justify your predictions
Alik [6]

Answer:

The base of the exponential function is 0.5 which is between 0 and 1 and thus this is an exponential decay function.

Step-by-step explanation:

Exponential equations are usually in the form;

y=ab^{x}

where;

a is the initial value, that is the value of y when x is 0,

b is the growth or decay factor and also the base of the exponential function

If b>1, then it is an exponential growth function and the values of y keep getting bigger.

if 0<b<1, then it is an exponential decay function and the y values keep getting smaller as x increases.

In the function given;

y=(\frac{1}{2})^{x}

The base of the exponential function is 0.5 which is between 0 and 1 and thus this is an exponential decay function.

In order to justify our prediction, we can simply obtain the graph of the function and check on how x and y vary.

From the attachment below we can see that the values of y become increasingly smaller as the values of x increases in magnitude which justifies our predictions.

5 0
3 years ago
It took team rise over run 1 2/3 hours to hike 4 2/3 miles. What is their average speed in miles per hour?
pogonyaev

To find their average miles per hour we can divide the total miles by the hour used:

4 2/3 ÷ 1 2/3

=4x3+2/3 ÷ 1x3+2/3

=14/3 ÷ 5/3

In division, when we switch the place of numerator and denominator, we can change it to multiplication which makes the calculation easier as we can factorize the numbers.

=14/3 x 3/5

Factorize 3 in both amounts:

=14/1 x 5/1

=14/5

=2.8 miles/hour

Therefore their average speed is 2.8 miles/hour.

Hope it helps!

8 0
2 years ago
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