Complete question:
A bucket of candy contains 24 Jolly Ranchers, 18 Hershey Kisses, 12 packs of Smarties, and some Starburst. The probability of reaching in and pulling out a pack of Smarties is 1/6.How many Starburst are in the bucket?
Answer:
18
Step-by-step explanation:
Give the following :
Number of jolly ranchers = 24
Number of Hershey kisses = 18
Number of smarties = 12
Number of Starburst = s
Probability of pulling out a smarties ; P(smarties) = 1/6
Probability = required outcomes / total possible outcomes
Required outcome = 12
Total possible outcomes = (24 + 18 + 12 + s) = 54 + s
P(smarties) = 12 / (54 + s)
1/6 = 12 / 54 + s
1 × (54 + s) = 12 × 6
54 + s = 72
s = 72 - 54
s = 18
Hence number of smarties = 18
Answer:
Rate per gallon in simplest form is,
Step-by-step explanation:
Unit rates defined as the rates are expressed as a quantity of 1, such as 5 feet per second or 6 miles per hour, they are called unit rates.
Given the statement: 252 miles per 8 gallons.
⇒ Number of miles = 252
and number of gallons = 8
Unit rate per gallons = =
Divide numerator and denominator both by 4 we get;
Unit rate per gallons =
Therefore, "252 miles per 8 gallons " as a rate in simplest form is,
Answer:
involve the constitution
Step-by-step explanation:
Answer:
Step-by-step explanation:
Horizontal translation:
if y =f(x) , then y = f(x+h) is horizontal translation.
The translation h moves the graph to the left when h is the positive value and to the right when h is negative.
As per the statement:
Given the graph:
It has been translated 7 units to the left
By definition:
h = 7 units > 0
then, the equation becomes;
Therefore, the equation of the resulting parabola is,
Answer:
129.032258064516129
Step-by-step explanation:
To convert 3.1 miles into laps on a 400m track, we first convert miles to meters, getting approximately 4988.954 meters. Dividing by 400 meters per lap, we find the distance is approximately 12.5 laps.
The first step is to convert miles into meters, because the laps are measured in meters. There are approximately 1609.34 meters in a mile. So, 3.1 miles would be approximately 4988.954 meters (3.1 x 1609.34 = 4988.954).
As each lap is 400m, we can determine the number of laps by dividing the total distance in meters by the length of one lap. So, 4988.954 meters divided by 400 meters per lap gives us approximately 12.5 laps. Since we need to round to the nearest tenth, our final answer becomes 12.5 laps.
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