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tatiyna
3 years ago
15

A red light blinks every 12 seconds and a blue light blinks every 9 seconds. When will both lights blink at the same time?

Mathematics
1 answer:
mote1985 [20]3 years ago
3 0

Answer:

36

Step-by-step explanation:

We need to find the LCM of the two numbers because we need to know the lowest number that 12 and 9 are both in.

12 × 1 = 12

12 × 2 = 24

12 × 3 = 36

12 × 4 = 48

9 × 1 = 9

9 × 2 = 18

9 × 3 = 27

9 × 4 = 36

We can see that 36 is the lowest number that occurs both in 12 and 9 so the blue and red light will both link at 36 seconds

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What is the equation of the line that passes through the points (−2, 1) and (1, 10)?
Viktor [21]

Answer:

3x - y = -7

Step-by-step explanation:

y = mx + b

m = deltay/deltax

m = (10 - 1)/[( 1 - (-2)]

m = 9/3 = 3

y = 3x + b

From (-2 | 1) we see that when x = -2, y = 1

Placing into the equation, in order to find b (y-intercept)

y = 3x + b

1 = 3(-2) + b

b = 7

y = 3x + 7 or 3x - y = -7

6 0
3 years ago
BRAINLIEST ANSWER!! The product of 3, and a number increased by seven, is -36. Translate the equation, then solve.
EleoNora [17]

Product is multiplication.

Let the number = x


3 *( X+7) = -36

Use distributive property:

3x +21 = -36

Subtract 21 from each side:

3x = -57

Divide both sides by 3:

x = -57 /3

x = -19


Check: 3 * (-19 +7) = 3 * -12 = -36


The number is -19


4 0
3 years ago
Find the area of a circle with a radius of 48mm
Ainat [17]

Answer:

A≈7238.23

Step-by-step explanation:

A=πr2

Area =π(48)2

8 0
3 years ago
The radius of a circle is 18 miles. What is the circle's area?<br><br> Use 3.14 for (pi sign)
Lyrx [107]
Don’t click on the link, it is a virus.... the answer is 18 squared x 3.14

So then you get 324x3.14, and you get 1,017.36

That is ur answer
5 0
3 years ago
Let R be a relation on the set of all lines in a plane defined by (l 1 , l 2 ) R line l 1 is parallel to l 2 . Show that R is
MArishka [77]

Answer: hello your question is poorly written below is the complete question

Let L be the set of all lines in XY plane and R be the relation in L defined as R = {(L1, L2): L1 is parallel to L2}. Show that R is an equivalence relation. Find the set of all lines related to the line y = 2x + 4.

answer:

a ) R is equivalence

b) y = 2x + C

Step-by-step explanation:

<u>a) Prove that R is an equivalence relation </u>

Every line is seen to be parallel to itself ( i.e. reflexive ) also

L1 is parallel to L2 and L2 is as well parallel to L1 ( i.e. symmetric ) also

If we presume L1 is parallel to L2 and L2 is also parallel to L3 hence we can also conclude that L1 is parallel to L3 as well ( i.e. transitive )

with these conditions we can conclude that ; R is equivalence

<u>b) show the set of all lines related to y = 2x + 4 </u>

The set of all line that is related to y = 2x + 4

y = 2x + C

because parallel lines have the same slopes.

5 0
3 years ago
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