Answer:
The greatest number of platters he can prepare is 3.
Step-by-step explanation:
Given : In preparation for a party, brant is putting desserts onto platters. the chocolate cake is cut into 15 pieces and the cheesecake is cut into 6 pieces. if he wants to prepare identical platters without having any cake left over.
To find : What is the greatest number of platters he can prepare?
Solution :
The greatest number of platters he can prepare is given by finding the GCF of 15 and 6.
Factoring the numbers,
The GCF is the greatest common factor.
Therefore, the greatest number of platters he can prepare is 3.
Answer:
Step-by-step explanation:
From the problem statement, we can setup the following equation:
where 
is the number of employees being trained.
Solving for will give us the answer:
x = 5 is not an extraneous solution of the equation.
✓(2x + 6) - ✓(x - 1) = 2
✓(2x + 6) = 2 + ✓(x - 1)
Squaring both the sides of equation, we get
(✓(2x + 6))² = (2 + ✓(x - 1))²
2x + 6 = (2)² + (✓(x - 1))² + 2(2)(✓(x - 1))
2x + 6 = 4 + x - 1 + 4(✓(x - 1))
x + 3 = 4✓(x - 1)
Squaring again on both the side of the equation, we get
(x + 3)² = (4✓(x - 1))²
x² + 3² + 2×3×x = 16(x - 1)
x² + 9 + 6x = 16x - 16
x² - 10x + 25 = 0
By applying middle term splitting on equation (1), we get
x² - 5x - 5x + 25 = 0
x(x - 5) -5(x - 5) = 0
(x - 5) (x - 5) = 0
x = 5 and 5.
Check for extraneous solutions by putting value of x in original equation -
✓(2×5 + 6) - ✓(5 - 1) = 2
✓16 - ✓4 = 2
4 - 2 = 2
2 = 2
LHS = RHS
x = 5 is not an extraneous solution of the equation.
Know more about roots of equation -
brainly.com/question/4098861
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Hello! So, 11/2 cups is simplified as 5 1/2 cups. In order to find out how many 1/8 cups Jenn will need to scoop, all you have to do is divide each number by 1/8. When you divide fractions, you keep the first fraction the same, change division into multiplication, and flip the second fraction over into it's reciprocal. So 2 / 1/8 becomes 2/1 * 8/1. With that being said, if you solve each of them correctly, here are your answers for the number of 1/8 cups needed.
Water: 16
Brown Rice: 44
Jenn willl have to use the 1/8 scoop to get water 16 times and the 1/8 scoop to get brown rice 44 times.
