Answer:
Point A
Convert fraction into decimal =0.15
Answer:
Greatest sack = 42
1 candy bar and 3 lollipops
<em></em>
Step-by-step explanation:
Represent Candy bars with C and Lollipops with L
![C = 42](https://tex.z-dn.net/?f=C%20%3D%2042)
![L= 126](https://tex.z-dn.net/?f=L%3D%20126)
Solving (a): Greatest number of treat sacks
To solve this, we simply calculate the GCF of C and L
![42 = 2^1 * 3^1 * 7^1](https://tex.z-dn.net/?f=42%20%3D%202%5E1%20%2A%203%5E1%20%2A%207%5E1)
![126 = 2^1 * 3^2 * 7^1](https://tex.z-dn.net/?f=126%20%3D%202%5E1%20%2A%203%5E2%20%2A%207%5E1)
Hence, the GCF is
![GCF = 2^1 * 3^1 * 7^1](https://tex.z-dn.net/?f=GCF%20%3D%202%5E1%20%2A%203%5E1%20%2A%207%5E1)
![GCF = 42](https://tex.z-dn.net/?f=GCF%20%3D%2042)
Hence, greatest number of sack is 42
Solving (b): Number of treat in each sack.
To do this, we simply divide the number of C and L by the calculated GCF
For C:
![Treats = \frac{C}{GCF}](https://tex.z-dn.net/?f=Treats%20%3D%20%5Cfrac%7BC%7D%7BGCF%7D)
![Treats = \frac{42}{42}](https://tex.z-dn.net/?f=Treats%20%3D%20%5Cfrac%7B42%7D%7B42%7D)
![Treats = 1](https://tex.z-dn.net/?f=Treats%20%3D%201)
For L:
![Treats = \frac{L}{GCF}](https://tex.z-dn.net/?f=Treats%20%3D%20%5Cfrac%7BL%7D%7BGCF%7D)
![Treats = \frac{126}{42}](https://tex.z-dn.net/?f=Treats%20%3D%20%5Cfrac%7B126%7D%7B42%7D)
![Treats = 3](https://tex.z-dn.net/?f=Treats%20%3D%203)
<em>Hence, 1 candy bar and 3 lollipops</em>
Answer:
25%
Step-by-step explanation:
75% of 12 is 9, meaning you got 75% of the shots in.
which means you missed 25% of the shots
Answer:
x = 5![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
Step-by-step explanation:
Using the tangent ratio in the outer right triangle
and tan30° =
= ![\frac{\sqrt{3} }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B3%7D)
tan30° =
= ![\frac{x}{15}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B15%7D)
Multiply both sides by 15
15 × tan30° = x
x = 15 ×
= 5![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)