Answer:
Step-by-step explanation:
- Let (applicable to all three lines below)
- Hard candy = x kg with price $1.60/kg
- Gummy worms = y kg with price $2.20/kg
- Total weight = 50 kg with mixed price $1.75/kg
<u>Required equations:</u>
- x + y = 50 total weight
- 1.60x + 2.20y = 50*1.75 total price
=========================================
<u><em>Note</em></u><em>. It says don't solve but the solution below for those who is interested to know the answer.</em>
<u>Simplify the second equation and solve by substitution x = 50 - y:</u>
- 1.6(50 - y) + 2.2y = 87.5
- 80 - 1.6y +2.2y = 87.5
- 0.6y = 7.5
- y = 7.5/0.6
- y = 12.5
<u>Find the value of x:</u>
<u>Hard candy</u> = 37.5 kg and <u>gummy worms</u> = 12.5 kg
Sorry I don’t have roller
Hope it’s right
Best luck with your studying
Answer:
t = 8.69 s
Step-by-step explanation:
The height h of the rocket in feet above the surface of the lake can be modeled by :
Let we need to find the time to reach the ground. When it reach the ground, h = 0
We need to find the value of t.
t = 8.69 s and -2.45 s
Neglecting negative value,
t = 8.69 s
Hence, it will take 8.69 s to reach the ground.
Answer:
The total length of the border is 31.4 yards rounded to the nearest tenth of a yard
Step-by-step explanation:
The formula of the circumference of a circle is C = 2πr, where r is the radius of the circle
Jason used wire fencing to form a border around a circular region in his back yard
<em>That means the length of the wire is equal to the circumference of the circular region</em>
∵ The radius of the circular region was 5 yards
∴ r = 5 yards
∵ C = 2πr
- Substitute r by 5
∴ C = 2π(5)
∴ C = 31.41592654 yards
- Round it to the nearest tenth of a yard
∴ C = 31.4 yards
∵ The length of the wire is equal to the circumference of
the circular region
∴ The length of the wire is 31.4 yards
The total length of the border is 31.4 yards rounded to the nearest tenth of a yard
Answer:
68.544
Step-by-step explanation:
64x(1+0.088)=68.544
