The gcf of 90 and 72 is 18, so i divided both of them by 18 and i got 4 and 5, in total he would 9 pieces of wood
Hello!
Let's write some important information contained in the exercise:
• hotdogs: $2.59 (,x,)
,
• hamburgers: $5.29 (,y,)
He needs 11 packages. Let's write it:
• x + y = 11
He spent a total of $39.29. We can write it as:
• 2.59x + 5.29y = 39.29
Now, let's solve these two equations as a linear system:

First, let's isolate x in equation A:

Now, we will replace where's x by 11-y in equation B:

As I called the hamburgers as 'y', we know that he bought 4 packages of hamburgers.
Answer:
The probability is 0.044
Step-by-step explanation:
Step-by-step explanation:
Let p be the probability that the new principal’s performance is approved.
This is obtainable from the survey and it is 8/10 = 0.8
Let q be the probability that the new principal’s performance is disproved.
That will be;
1 - q = 1- 0.8 = 0.2
To calculate the probability that 14 parents names are chosen at random and they all
approve of the principal’s performance, we use the Bernoulli approximation of the binomial theorem.
That will be;
14C14 * p^14 * q^0
= 1 * 0.8^14 * 0.2^0
= 0.043980465111 which is approximately 0.044
The answer is to the problem is 120 °