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eduard
3 years ago
14

A radio station gives away $15 to every 15th caller, $25 to every 25th caller, and free concert tickets to every 100th caller. W

hen will the station first give away all three prizes to one caller? PLEASE HELP. Show your work !!
Mathematics
2 answers:
VashaNatasha [74]3 years ago
7 0
The answer is 300th caller.
to find the answer you have to take the LCM of all three numbers of callers that are 15,25 and 100
so, lets take the LCM
5     15, 25, 100
----------------------
5      3, 5, 20
-----------------------
3      3, 1, 4
----------------------
4       1, 1, 4
-----------------------
          1, 1, 1
Now ,multiply the numbers 5,5, 3 and 4.
5 x 5 x 3 x 4 = 25 x 12 = 300

Livikins2 years ago
0 0

300th caller

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kipiarov [429]

Answer:

Option 5.

Step-by-step explanation:

Ok, start with parentheses and then a 6 x inside it.

Then put a mini 3 on top.

7root all of that- you get option 5.

8 0
3 years ago
the initial price of a home entertainment system is $34,000. It is discounted by 10% and then by a further 26%. Find the price o
maria [59]
The final price of the item is $22,644

The initial discount of 10% leaves the price at 90% of the retail value:
\frac{x}{34000}  =  \frac{90}{100}
cross multiply to solve for x:
100x = 3,060,000
x = 30,600
This new price is then discounted 26%, which means the final price is 74% of $30,600:
\frac{x}{30600}  =  \frac{74}{100}
cross multiply to solve for x:
100x = 2,264,400
x = 22,644
The final price of the home entertainment system is $22,644
8 0
3 years ago
(01.03 MC)<br> Which of the following is a step in simplifying the expression<br> (Xy^4/x^-5y^5)^3
Sati [7]

\displaystyle\tt\left(\frac{xy^4}{x^{-5}y^5}\right)^{-3} =\frac{x^{-3}y^{4\cdot(-3)}}{x^{-5\cdot(-3)}y^{5\cdot(-3)}}=\boxed{\tt\frac{x^{-3}y^{-12}}{x^{15}y^{-15}}}

4 0
3 years ago
Match each irrational number line on which it is represented 2.18112... 2.1823912 2.364125 2.1829391321
sergij07 [2.7K]

Answer:

See Explanation

Step-by-step explanation:

The number lines to make selection from are missing from the question.

<em>However, I've attached 4 number lines, each of which represents each of the given irrational numbers (see attachment)</em>

<em></em>

<u>Number: 2.1823912</u>

This is represented by number line 1

Each point of number line 3 is 0.001 units starting from 2.18;

The point which the red dot is located is between 2.182 and 2.183, but the dot is closer to 2.182.

<em>2.1823912 and 2.1829391321 satisfy this property but number line 2 represents 2.1829391321 (see below for explanation)</em>

So: 2.1823912 is represented by number line 1

<u></u>

<u>Number: 2.1829391321</u>

This is represented by number line 2.

Each point of number line 3 is 0.0001 units starting from 2.182;

The point which the red dot is located is between 2.1829 and 2.1830, but the dot is closer to 2.1829.

From the list of given numbers, only 2.1829391321 satisfy this property.

<em />

<u>Number: 2.18112...</u>

This is represented by number line 3.

Each point of number line 3 is 0.01 units starting from 2.11;

The point which the red dot is located is between 2.18 and 2.19.

If number lines 1 and 2 represent 2.1823912 and 2.1829391321, respectively, then number line 3 represents 2.18112.

<u></u>

<u>Number: 2.364125 </u>

This is represented by number line 4.

Each point on this number line is 0.1 unit starting from 2.0;

The point which the red dot is located is between 2.30 and 2.40. From the list of given numbers, only 2.364125  satisfy this property.

7 0
3 years ago
The sum of two.number is.24. the.sun.of the square.of the two.nunber is 306. what is the product.of the two.number
tresset_1 [31]
A) x + y = 24
B) x^2 + y^2 = 306

A) x = 24 -y
Then substituting this into B)
(24 - y)^2 +y^2 = 306
576 -48y +y^2 + y^2 = 306
2 y^2 -48y + 270 = 0
x1 = 15
x2 = 9




3 0
3 years ago
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