Please help I will really appreciate it it's about systems of equation

Two lighthouses flash their lights every 20 and 30 seconds respectively. given that they flash together at 8 p.m., at what time

VikaD [51]

Do you remember when you were learning about
Least Common Multiple (LCM) ? And you were
wondering what on Earth you would ever need it for ?

THIS IS IT !

The amount of time after 8 PM when the lights will flash
together again is the LCM of 20 seconds and 30 seconds.
Do you remember how to find it ?

... When 20 is prime-factored, you have 2 · 2 · 5 .

... When 30 is prime-factored, you have 2 · 3 · 5 .

... So the Least Common Multiple of 20 and 30 is 2 · 2 · 3 · 5 = 60 .

The lighthouses will flash together again in 60 seconds after 8 PM.
That'll be 8:01 PM.

6 0

3 years ago

Does anyone understand this?. I also have to show my work.

snow_lady [41]

Answer:

Ans A). The graph is shown.

Ans B). 18.3333 C temperature when F is 65 temperature

Ans C). 32 F when the line crosses the horizontal axis

Ans D). Slope of line C= $\frac{5}{9}(F -32)$ is $\frac{5}{9}$

Step-by-step explanation:

Given equation is C= $\frac{5}{9}(F -32)$

Ans A).

For the table,

Take the four value of F as 32,41,50,59.

For F = 32.

The value of C is

C= $\frac{5}{9}(F -32)$

C= $\frac{5}{9}(32 -32)$

C=0.

For F = 41.

The value of C is

C= $\frac{5}{9}(F -32)$

C= $\frac{5}{9}(41 -32)$

C=05

For F = 50.

The value of C is

C= $\frac{5}{9}(F -32)$

C= $\frac{5}{9}(50 -32)$

C=10

For F = 59.

The value of C is

C= $\frac{5}{9}(F -32)$

C= $\frac{5}{9}(32 -32)$

C=15

<em>Note: The figure shows a graph of given equation with points.</em>

Ans B). Estimate temperature in C when the temperature in F is 65

For F = 65.

The value of C is

C= $\frac{5}{9}(F -32)$

C= $\frac{5}{9}(32 -32)$

Ans C). At what temperature, graph lien cross the horizontal axis

When the line crosses the horizontal axis, C=0

Therefore,

C= $\frac{5}{9}(F -32)$

0= $\frac{5}{9}(F -32)$

0= $(F -32)$

F=32 Temperature.

Ans D). Slope of the line C= $\frac{5}{9}(F -32)$

The slope of line is given by s= $\frac{Y1-Y2}{X1-X2}$

Take points from the table of answer A.

let (32,0) and (41,5) using for slope.

s= $\frac{Y1-Y2}{X1-X2}$

s= $\frac{0-5}{32-41}$

s= $\frac{5}{9}$

Slope of line C= $\frac{5}{9}(F -32)$ is $\frac{5}{9}$

7 0

3 years ago

What is the value of f(x) = 2/3 x + 1/4 when x = 6?

11Alexandr11 [23.1K]

Answer:

4 1/4

Step-by-step explanation:

f(x) = 2/3(6) + 1/4

f(x) = 4 + 1/4

f(x) = 4 1/4(4.25)

4 0

3 years ago

Marci look at the clock and realized that the number of hours that passed since midnight was three times the numbers of hours re

yarga [219]

Answer:

4 am

Step-by-step explanation:

because the number time from midnight till noon is 12hrs divide that by 3 and you'll get ur answer

8 0

3 years ago

Nora made 3 gallons of lemonade. Which of the following can be used to find the number of pints of lemonade that Nora made?

Ad libitum [116K]

24 pints because there are 8 pints equal to one gallon and she wants 3 so you do 8*3 =24

4 0

3 years ago

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