We have the following:
1 batch of red-----------------500 red tumblers
1 batch of yellow-------------500 yellow tumblers
1 batch of purple-------------500 purple tumblers
This totals to 1500 tumblers
I need to create sets that consist of three tumblers
with different colors for each set
<span>1500/3=500
</span>
<span>Thus, I can assemble 500 sets of 3
containing <span>1 tumbler of every color
per set</span></span>
Response:
Detailed Breakdown:
Forget all the words! Just apply the math.
Answer:
The rotation angle measures 214°.
Step-by-step explanation:
Arc length formula:
The arc length equals the radius multiplied by the central angle (in radians).
L= rθ
L= Arc length
r= Radius
θ= Central angle (in radians).
Given L= 280 feet and diameter =150 feet.
Radius 
feet =75 feet
L= rθ
radians.
We know that,
π radian= 180°
= 214°
The rotation angle measures 214°.
Response:
Initial step=13x+7x=18+42
Sequential breakdown:
13x-42=18-7x
First step
Combine like terms in the equation
13x+7x=18+42
20x=60
x=60/20
x=3
A rectangle is defined as a two-dimensional figure that features two pairs of equal, parallel sides. Its dimensions consist of length (L) and width (W). The area of a rectangle can be calculated using the formula that multiplies these two dimensions together. The perimeter can be expressed as
P = 2L + 2W.
Given that
A = LW = 64
therefore, W = 64/L.
Substituting this value into the perimeter formula yields
P = 2L + 2(64/L)
P = 2L + 128/L.
