Since they are vertical they are equal to each other.
3x + 4 = 7x - 9
4 = 4x - 9
13 = 4x
3.25 = x
So the value of x is 3.25.
Hope this helps :)
Answer:
length: 16 m; width: 13 m
Step-by-step explanation:
Write each of the statements as an equation. You know that the formula for the perimeter is ...
P = 2(L +W)
so one of your equations is this one with the value of P filled in:
• 2L + 2W = 58
The other equation expresses the relation between L and W:
• L = W +3 . . . . . . . . the length is 3 meters greater than the width
There are many ways to solve such a system of equations. Since you have an expression for L, it is convenient to substitute that into the first equation to get ...
2(W+3) +2W = 58
4W +6 = 58 . . . . . . . simplify
4W = 52 . . . . . . . . . . subtract 6
W = 13 . . . . . . . . . . . .divide by 4
We can use the expression for L to find its value:
L = 13 +3 = 16
The length is 16 meters; the width is 13 meters.
Answer:
-2x+25 D
Step-by-step explanation:
To determine how far it will go in an unspecified number of hours, we can let t = time in hours. The letter t will be our variable. Assuming that the car travels at the same speed, we can state that the rate is 55, and that will be our constant. The expression would then be:
Distance of car traveled in t hours, which we can denote as D(t) = 55 x t = 55t
This means that D is a function of t, and D represents the total distance traveled in t hours.
Answer:
Step-by-step explanation:
This is a binomial probability distribution because there are only 2 possible outcomes. It is either a randomly selected student grabs a packet before being seated or the student sits first before grabbing a packet. The probability of success, p in this scenario would be that a randomly selected student sits first before grabbing a packet. Therefore,
p = 1 - 0.81 = 0.91
n = 9 students
x = number of success = 3
The probability that exactly two students sit first before grabbing a packet, P(x = 2) would be determined from the binomial probability distribution calculator. Therefore,
P(x = 2) = 0.297
