Answer:
3 halves are in 3/2.
Step-by-step explanation:
The numerator says that there are 3 pieces, and the denominator says the pieces are halves. Therefore, there are three halves.
I hope this helps.
Answer:
- 20 taffy bags and 15 caramel candy bags
Step-by-step explanation:
<u>Given:</u>
- t = the number of taffy bags
- c = the number of caramel bags
- Number of taffy's are 5 more than caramel bags
- Taffy bags weigh 8 ounces and caramel bags weigh 16 ounces
- Total weight is 400 ounces
<u>Equations:</u>
- t = c + 5 (the difference in number of bags)
- 8t + 16c = 400 (the weight of the bags)
<u>Simplify the second equation by dividing all terms by 8:</u>
<u>Substitute t and solve for c:</u>
- c + 5 + 2c = 50
- 3c = 50 - 5
- 3c = 45
- c = 45/3
- c = 15
<u>Find the value of t:</u>
<u>Answer:</u>
- 20 taffy bags and 15 caramel candy bags
If you would like to calculate 522% of 85, you can do this using the following steps:
522% of 85 = 522% * 85 = 522/100 * 85 = 443.7
The correct result would be 443.7.
Answer:
A
Step-by-step explanation:
Recall that for a quadratic equation of the form:
The number of solutions it has can be determined using its discriminant:

Where:
- If the discriminant is positive, we have two real solutions.
- If the discriminant is negative, we have no real solutions.
- And if the discriminant is zero, we have exactly one solution.
We have the equation:

Thus, <em>a</em> = 2, <em>b</em> = 5, and <em>c</em> = -<em>k</em>.
In order for the equation to have exactly one distinct solution, the discriminant must equal zero. Hence:

Substitute:

Solve for <em>k</em>. Simplify:

Solve:

Thus, our answer is indeed A.