Answer:
cesar is 11 1/4 years old
Step-by-step explanation:
k = kaleighs age
d = dwaynes age
3k - 2d = 5
d + k = 30
rewrite
-k -k
d = 30 - k
substitute
3k - 2(30 - k) = 5
3k - 60 + k = 5
4k - 60 = 5
+ 60 +60
4k = 65
/4 /4
k = 16.25
16.25 - 5 = 11.25 or 11 1/4
Answer:
12y² + 9y + 7
General Formulas and Concepts:
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
4y² + 5y + 2 + 8y² + 4y + 5
<u>Step 2: Simplify</u>
- Combine like terms (y²): 12y² + 5y + 2 + 4y + 5
- Combine like terms (y): 12y² + 9y + 2 + 5
- Combine like terms: 12y² + 9y + 7
This means the test statistic goes against the probability that your hypothesis is true
4a.
We can get the least number by taking LCM of 24 and 16.
We list each of the numbers as prime factors and take the mutiplication of each unique prime factor that occurs the greatest number of times.
24 = 2 * 2 * 2 * 3
16 = 2 * 2 * 2 * 2
So,
2 occurs four times
3 occurs 1 times
LCM of 24 and 16 is:
2 * 2 * 2 * 2 * 3 = 48
Least number of cheese and cracker appetizer = 48
4b.
Sleeves are sold in 24.
So, to get 48, she would need to buy:
48/24 = 2 sleeves
4c.
Cheese slices comes in packages of 16. So she needs to buy:
48/16 = 3 packages of cheese
I think the answer is 14.
