X+ 8/2x-5 = 10/14
Cross multiply
14(x + 8) =10( 2x- 5)
14x + 112 = 20x - 50
14 x -14x +112 = 20x -14x -50
112 = 6x -50
112 + 50 = 6x + 50 -50
162 = 6x
x = 27
According the Vertical Angles Theorem, the angles are congruent.
Set up your equation : 4x + 7 = 5(x - 4)
Distribute in the second equation : 4x + 7 = 5x - 20
Subtract 4x from both sides : 7 = x - 20
Add 20 to both sides : 27 = x
x = 27
You can multiply the number of laps each person ran by the yards in each lap and then add them together:
440 + 2(440) + 3(440) + 4(440)
= 440 + 880 + 1,320 + 1,760
= 4,440 yards
Or you can add the laps first, then multiply by the yards in each lap
(1 + 2 + 3 + 4)(440)
= 10 x 440
= 4,400 yards
Answer:
x<±1 and x< -3
Step-by-step explanation:
Given the inequality x^2-1/3x+9<0, we are to find the values of x that satisfies the inequality
x^2-1/3x+9<0
x^2-1/3x+9 (3x+9)²<0* (3x+9)²
(x^2-1)(3x+9) < 0
x²-1 < 0 and 3x + 9 <0
x²-1 < 0
x²<1
x<±√1
x<±1
Also 3x + 9 <0
3x < -9
x < -9/3
x < -3
Hence the required values of x are x<±1 and x< -3