This is all about proportions. You can make this into fractions:
3/5 = 12/x
A good way to handle this, is to make one of those numbers the same. If you do (3/5) * 4, you would get 12/20 (because 4 * 3 = 12 and 4 * 5 = 20)
So then you have this:
12/20 = 12/x
It's basically a fill in the blank from there. x= 20
Elena's team played 20 games
Answer:
if there is equivalent ratio cookies should be 48
Answer:
18 weeks
Step-by-step explanation:
Total amount of money saved up to buy the printer is T(w), where w is the number of weeks.
Then T(w) = $100 + ($20/wk)w
Setting this equal to $460, we solve the resulting equation for w to determine the number of weeks it took Hugo to save up $460 total:
$460 = $100 + ($20/wk)w, or
$360 = ($20/wk)w, or
w = $360/($20/wk) = 18 weeks
Answer:
D. 3b + 2(b + 0.75) = 4.50; $0.60 per pound of bananas, $1.35 per pound of oranges
Step-by-step explanation:
Price per pounds of bananas = b
Price per pound of oranges = b + $0.75
Diego buys:
3 pounds of bananas = 3(b) = 3b
2 pounds of oranges = 2(b + 0.75)
Amount paid by Diego is expressed as:
3b + 2(b + 0.75) = 4.50
To find the price per pound of each fruit, use the equation above to find the value of b:
3b + 2b + 1.50 = 4.50
Combine like terms
5b + 1.50 = 4.50
5b + 1.50 - 1.50 = 4.50 - 1.50
5b = 3
5b/5 = 3/5
b = 0.6
Price per pound of banana = b = $0.6
Price per pound of oranges = b + $0.75
Plug in the value of b
= $0.6 + $0.75
= $1.35
Using the binomial distribution, it is found that there is a 0.056 = 5.6% probability that more than 7 will make a purchase.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- There are 12 customers, hence n = 12.
- The probability of any of them making a purchase is of p = 0.4.
The probability that more than 7 will make a purchase is given by:
P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12).
Hence:
Then:
P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) = 0.042 + 0.012 + 0.02 + 0 + 0 = 0.056.
0.056 = 5.6% probability that more than 7 will make a purchase.
More can be learned about the binomial distribution at brainly.com/question/24863377
