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Alona [7]
3 years ago
8

three neon lights are turnd on at the same time one blinks every 5 second the second every 12 and the third every 6 seconds in 5

minutes how many times will all three lights blink at the same time​
Mathematics
1 answer:
mylen [45]3 years ago
6 0

Answer:

5 times

Step-by-step explanation:

If we have to determine the number of times the lights will blink at the same time, we have to find Least common multiple (L.C.M) of 5, 12, and 6 seconds.

5 = 1 x 5

12 = 1 x 2 x 2 x 3

6 = 1 x 2 x 3

The L.C.M of 5, 6, and 12 is = 2 x 2 x 3 x 5 = 60

The three lights will be turned on after 60 seconds or 1 minute.

The lights will be turned on in 1 minute       1 time

The lights will be turned on in 5 minutes    (1*5) times = 5 times

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A highly selective boarding school will only admit students who place at least 1.5 z-scores above the mean on a standardized tes
Butoxors [25]

Answer:

An applicant must score a minimum of 128

Step-by-step explanation:

To solve this question, we make use of the z-score formula.

Z = (X - mean)/standard deviation

Firstly, let’s list out the parameters from the question. From the question, we can deduce that:

Z = 1.5

X = ?

Mean = 110

Standard deviation =12

1.5= (X-110)/12

18 = X - 110

X = 110 + 18

X = 128

3 0
3 years ago
Solve: x^4 + 2x^3 - x^2 - 4^x - 2 = 0.​
natta225 [31]

By defferentiating the about using product rule

vdyu/dx +udvdx

dy/dx 4×^3 +6×^2-4× -4=o

7 0
3 years ago
Claribel has a $500 bond with a 4% coupon. Claribel purchased this bond for
frozen [14]

Answer:

The yield of this new bond is approx 3.8%.

Step-by-step explanation:

Given : Claribel has a $500 bond with a 4% coupon. Claribel purchased this bond for  $525.

To find : What is the yield of this new bond?

Solution :

As coupon is  4 % , a  $ 500  bond earns  is given by,

4\% \text{ of } 500= 0.04\times 500= $20

A  $ 500  bond earns $ 20  in a year.

Now as market price of bond is  $ 525 , but it earns  $ 20

The rate of interest earned is

\frac{20\times 100}{525}= \frac{80}{21}=3.81\%

Therefore, the yield of this new bond is approx 3.8%.

8 0
3 years ago
Is parentheses 8, 1 close parentheses a solution to x + y greater than 10
alukav5142 [94]
(8, 1)

x = 8
y = 1

8 + 1 < 10
9 < 10 false

(8,1) cannot be a solution of x + y > 10

hope this helps
8 0
4 years ago
Find the area of the figure. Round to the nearest tenth if necessary.
Anestetic [448]
So I went ahead and divided up the figure so that you would understand what I'm going to tell you. Let's start with the red rectangle.

The distance from point R to point I is 6 units and the distance from Point R to point S is 5 units. 6*5 = 30 so that red rectangle has an area of 30 units

Now let's calculate triangle AVI. Area of a triangle is Base * Height. The base is 1 and the height is 5 which means the area of triangle AVI is 5.

Next, triangle ALT. From Point A to point L is 4 unit. From Point L to point T is 3 units. 4*3 is 12. So triangle ALT has an area of 12.

Triangle TSI. From Point T to point L is 3 units. From Point L to X is 2. Triangle TSI has an area of 6.

Now we add all of them up. 30+5+12+6 = 53. In total, RSTUV has an area of 53

8 0
4 years ago
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