Answer: I’ll explain it in simpler terms for you. A proportional relationship is one in which two quantities vary directly with each other. Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional. An example of a proportional relationship is simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. Hope this helps! :D
Answer:
The weights within this range are:
8.9
9.5
9.8
10.4
Step-by-step explanation:
The graph represents the normal distribution with a mean of 9.5 and a standard deviation of 0.5. Therefore, the range of the values within 2 standard deviations is:
9.5 - 2(0.5) ≤ x ≤ 9.5 + 2(0.5)
8.5 ≤ x ≤ 10.5
FOIL
x^2+11x-9x-99
x^2+2x-99
5/6 of a yard divided by 5 is 1/6 of a yard.
Each piece is 1/6 yards long.
Answer:
w=3/5 or w=-5
Step-by-step explanation:
5w^2+22w=15
5w^2+22w-15=0 (quadratic equation)
a=5, b=22, c=-15
w1,2 =(-b+-sqrt(b^2-4ac))/2a
w1,2 =(-22+-sqrt(22^2-4*5*(-15))/2*5
w1,2 =(-22+-sqrt(484+300))/10
w1,2=(-22+-sqrt(784))/10
w1,2=(-22+-28)/10
w1=(-22+28)/10, w2=(-22-28)/10
w1=6/10, w2=-50/10
w1=3/5, w2=-5
