Alex is thinking of a number. Twenty less than one fourth of the number is -45. Find Alex’s number.

i need the equation.

¼x - 20 = -45

¼x = -25

x = -100

Step-by-step explanation:

To solve this we can write it out into an equation. Let's use the variable x for the number Alex is thinking of. Then we can take out each information to see what it means mathematically. We need to see what operation is being done.

"twenty less than one fourth of the number" The second part is using mutiplication, as indicated by "of." So we would write a quarter (one fourth)  times the number (x). The first part is using subtraction, indicated by "less than." This would be expressed by "- 20"

Putting it together:

¼x - 20

"is -45" this is joining the expression to an equation. So this would simply mean " = -45 " Then our equation is:

¼x - 20 = -45

Now we can solve it.

¼x - 20 = -45

¼x = -25

x = -100

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4