1/(3b)=4/5 multiply both sides by 5
5/(3b)=4 multiply both sides by 3b
5=12b divide both sides by 12
b=5/12 (not sure why you don't have that as an option in your answers, perhaps I misunderstood your description of the original equation...)
Answer:
m=15
Step-by-step explanation:
It’s B) both the mean and median are appropriate measures of centers
To solve this problem, we should set up a proportion. Let's let the unknown number of hours be represented by the variable x. Our proportion should look like this:
792 miles/11 hours = 576 miles/x hours
Because our units are the same on both sides of the equation, we can create the same proportion with just numbers.
792/11 = 576/x
To solve this equation, we can use cross-multiplication. This means multiplying the numerator of one fraction by the denominator of the other fraction and setting it equal to the product of the other numerator and denominator.
792 * x = 11 * 576
To begin to simplify, we should perform the multiplication on both sides of the equation.
792x = 6336
To solve, we must divide both sides of the equation by 792 to get the variable x alone on the left side of the equation.
x = 8
Therefore, it would take Keisha 8 hours to drive 576 miles at the same rate.
Hope this helps!
Answer:
One number is 17 and the other is 85.
Step-by-step explanation:
Let the numbers be m and n. Let m = (1/5)n. Note that m+n = 18.
Substituting (1/5)n for m in the 2nd equation, we get (1/5)n + (5/5)n = 18. Multiplying all three terms by 5 to remove fractions, we get n + 5 = 90, so that n = 85. m is (1/5) of 85, or m = 17.