Answer:
will this work or help ?
Step-by-step explanation:
The given equation governs the height versus time of the object. h(0) = 64, so the ground is considered at h = 0. The question is at what time is h = 0? So, set h = 0 and solve for t.
-16t^2 + 48t + 64 = 0
We can divide both sides of this equation by -16 for simpler numbers. We get
t^2 - 3t - 4 = 0
We can factor this equation:
(t - 4)(t + 1) = 0
So, t = 4 and t = -1 are solutions.
But, time must be positive, so t = -1 makes no sense, so we discard it. This leaves
t = 4 sec.
Answer:
1. (a) 20 (b) 21 (c) 36 (d) 42 (e) 45 (f) 18
(g) 28 (h) 49 (i) 40 (j) 8 (k) 9 (l) 4
(m) 7 (n) 7 (o) 9 (p) 0 (q) 0 (r) 0
2. (a) 3 (b) 7 (c) 4 (d) 8 (e) 3 (f) 4 (g) 9
(h) 7 (i) 3 (j) 7 (k) 4 (l) 5 (m) 2 (n) 4
(o) 7 (p) 0 (q) 0 (r) 0
3. 24
4. 27
5. (a) 16 (b) 28 (c) 32
6. (a) 6 (b) 3 (c) 4
7. 8
8. (a) 35 (b) 14 (c) 42
9. (a) Daniel 70p, Joel 56p (b) Daniel has 14p more than Joel
10. (a) 80 (b) 64 (c) 40
11. £6
12. (a) 9 (b) 7, with 1 left over
13. Team A: 7, Team B: 21, Team C: 14, Team D: 14 14. (a) 7 (b) 5
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Step 1:
They spilt 1/5 on the way to the lemonade stand.
180 x 1/5
= 180/5
= 36
So they spilt 36 cups of lemonade on the way to the stand.
Number of cups left = 180 - 36
= 144
Step 2:
They sold 75% of 144 cups of lemonade
75/100 x 144 (divide both 75 and 100 by 25)
= 3/4 x 144 (divide 144 by 4)
= 3 x 36
= 108
So they sold 108 cups of lemonade.
Number of cups left = 144-108
= 36
Step 3:
They spilt 1/3 of 36 cups of lemonade on the way home.
36 x 1/3
= 36/3
= 12
Therefore they brought back 12 cups of lemonade home.
To find the ratio between 2 numbers, you need to find the GCF of those 2 numbers. If the GCF is the ratio, the ratio is in it's simplest form.
GCF of 90 and 18 is 18
divide both numbers by the GCF and the final simplest ratio is 5:1
