2 is equivalent because 2*3 is 6 and 2*4 is 8
the L.C.M is 2
since it is the highest denominator.
so multiply through by the L.C.M
making x the subject.
dividing through by 3
X is the unknown value. The word "of" means to multiply. 40% in decimal form is 0.40. So "40% of a value" means "0.40x".
20=0.40x
Divide both sides by 0.40:
x=50
Answer:
- Kyle, 67 mph
- Cooper, 62 mph
Step-by-step explanation:
Their difference in distance is 87.1 -80.6 = 6.5 miles. Since their difference in speed is 5 mph, it took them (6.5 mi)/(5 mi/h) = 1.3 hours to achieve that separation.
Kyle's speed is 87.1 mi/(1.3 h) = 67 mi/h.
Cooper's speed is 80.6 mi/(1.3 h) = 62 mi/h. (5 mi/h slower)
Kyle is driving 67 mph; Cooper is driving 62 mph.
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<em>Alternate solution</em>
The ratio of their speeds is 87.1/80.6 = 67/62. The difference in ratio units happens to equal their difference in miles per hour, so their speeds must be 67 and 62 miles per hour.
Answer:
j^-1(x) = 1/2(x+5)
Step-by-step explanation:
1. Replace j(x) with y to make it easier
y = 2x - 5
2. Switch the places of x and y
x = 2y - 5
3. Solve for y
x + 5 = 2y
y = 1/2(x+5)
4. Replace y with j^-1(x)
j^-1(x) = 1/2(x+5)
