Answer:
let the larger and smaller number be x and y respectively
first condition
x + y = 49
second condition
3x = 2y+97
3x-2y =97
Multiplying first condition by two and adding both equations
2x + 2y = 98
<u>3x -2y = 97</u>
5x = 195
x = 195/5 = 39
putting the value of x in
x + y = 49
y = 49 -39 = 10
again
Step-by-step explanation:
15 and one half is 31/2. 3 and seven eighths is 31/8. 31/2 also equals 124/8. Then the answer is 124/8 - 31/8 is 91/8. Hope that helped.
Given the equation, 5x + 22 = 27:
The goal is to isolate the variable. Hence, a few mathematical operations are necessary to solve for the value of x.
Start by subtracting 22 both sides:
5x + 22 - 22 = 27 - 22
5x + 0 = 5
5x = 5
Next, divide both sides by 5 to isolate and solve for the value of x:
5x/5 = 5/5
x = 1
In order to verify whether x = 1 satisfies the give equation, we must substitute its value into the given equation:
5x + 22 = 27
5(1) + 22 = 27
5 + 22 = 27
27 = 27 (True statement. This implies that x = 1 is the correct value that satisfies the equation).
Therefore, the correct answer is x = 1.
Answer:
The person has a speed of 12 miles per hour.
Step-by-step explanation:
The ratio is 12 miles to 1 hour.
This means, that in every hour, the person can move 12 miles and has a speed of 12 miles per hour.
Answer:
It already is in the order.
-1.4, -1.38, -0.5, 0.76, 1.9
