Answer:
The answer to your question is $1.29
Step-by-step explanation:
Data
Total amount of cupcakes = 50
Total amount of sugar = 3 1/2 cups = 3.5 cups
Cost of 5-pound bag = $3.69
2 cups = 1 pound
Total cost = ?
Process
1.- Calculate the amount of pounds needed
2 cups ------------------ 1 pound
3.5 cups --------------- x
x = (3.5 x 1) / 2
x = 3.5 / 2
x = 1.75 pounds
2.- Calculate the price of 1.75 pounds
5 pounds -------------- $3.69
1.75 pounds ---------- x
x = (1.75 x 3.69)/5
x = 6.46/5
x = $1.29
3.- Conclusion
The cost of sugar to prepare 50 cupcakes is $1.29
Answer:
the slope of the line is: 0
Step-by-step explanation:
4-4=0
-2-5= 3
Answer:
You begin with 1 bacteria, and after 1 hour it has tripled so you now have 1 x 3=3.
Next hour, it triples again so you now have 1 x 3 x 3=9
You can see the pattern shows that the number of bacteria is multiplying every hour by a factor of 3. An exponent denotes how many times we are multiplying a number by itself, for example: 34 means we are multiplying the number 3 a total of 4 times (3 x 3 x 3 x 3).
Therefore the question is requiring us to triple the number of bacteria every hour for 24 hours, which means we are multiplying by 3 a total of 24 times. This gives us:
n x 324 where n is the number of bacteria you begin with.
Since you begin with 1 bacteria, the solution is 1 x 3 to the power 24 and u will get ur answer
Simplify:
5(a + 5) + -3 = 3(2 + -1a)
Reorder the terms:
5(5 + a) + -3 = 3(2 + -1a)
(5 * 5 + a * 5) + -3 = 3(2 + -1a)
(25 + 5a) + -3 = 3(2 + -1a)
Reorder the terms again:
25 + -3 + 5a = 3(2 + -1a)
Combine like terms:
]25 + -3 = 22
22 + 5a = 3(2 + -1a)
22 + 5a = (2 * 3 + -1a * 3)
22 + 5a = (6 + -3a)
Solve:
22 + 5a = 6 + -3a
To solve for variable 'a':
You have to move all terms containing A to the left, all other terms to the right.
Then add '3a' to each side of the equation:
22 + 5a + 3a = 6 + -3a + 3a
Combine like terms:
5a + 3a = 8a
22 + 8a = 6 + -3a + 3a
Combine like terms again:
-3a + 3a = 0
22 + 8a = 6 + 0
22 + 8a = 6
Add '-22' to each side of the equation.:
22 + -22 + 8a = 6 + -22
Combine like terms:
22 + -22 = 0
0 + 8a = 6 + -22
8a = 6 + -22
Combine like terms once more:
6 + -22 = -16
8a = -16
Divide each side by '8'.
a = -2
Simplify:
a = -2
Answer: a=-2
Hope I could help! :)
Q: "Simplify the following expression (2x+y-z)^2-(2x+y+z)^2"
As a simplified expression is
A: -8xz - 4yz
Hopefully this helps you ^0^
