Answer:
13%
Step-by-step explanation:
Total is 100 tickets sold as 13+87=100, 13/100 is 13%
Answer:
25
Step-by-step explanation:
Answer:
2 batches
Step-by-step explanation:
1. State the given;
<u>Convert to improper fractions;</u>
1 1/4 blackberries
5/4 blackberries
<u>Simplify;</u>
Twice as many blueberries;
5/4 *2
10/4
5/2
2. Find the total amount of berries;
<u>Simplify;</u>
blackberries + blueberries
= 5/4 + 5/2
*note; convert to like denominators
= 5/4 + 10/4
= 15/4
3. Divide by the amount that the recipe calls for;
Total / required
15/4 / 3/4
*note; dividing by a fraction is the same as multiplying by the fraction's reciprocal
15/4 * 3/4
45/16
*note; convert to a mixed number
2 13/16
Remember, for the sake of the problem, one can only make a full recipe, hence the answer is 2.
Answer:
f(t) = 4(t − 1)2 + 4; the minimum height of the roller coaster is 4 meters from the ground
Step-by-step explanation:
The function is a quadratic where t is time and f(t) is the height from the ground in meters. You can write the function f(t) = 4t2 − 8t + 8 in vertex form by completing the square. Complete the square by removing a GCF from 4t2 - 8t. Take the middle term and divide it in two. Add its square. Remember to subtract the square as well to maintain equality.
f(t) = 4t2 − 8t + 8
f(t) = 4(t2 - 2t) + 8 The middle term is -2t
f(t) = 4(t2 - 2t + 1) + 8 - 4 -2t/2 = -1; -1^2 = 1
f(t) = 4(t-1)^2 + 4 Add 1 and subtract 4 since 4*1 = 4.
The vertex (1,4) means at a minimum the roller coaster is 4 meters from the ground.
- f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground
- f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 4 meters from the ground
- f(t) = 4(t − 1)2 + 4; the minimum height of the roller coaster is 1 meter from the ground
- f(t) = 4(t − 1)2 + 4; the minimum height of the roller coaster is 4 meters from the ground