Answer: Part A = (100% - 80%)P = 35, Part B = 140
<u>Step-by-step explanation:</u>
Percentage: Like + Don't like = 100%
80% + Don't like = 100%
<u> -80% </u> <u> -80% </u>
Don't like = 20%
People: 20% of Patrons = Don't Like
0.20 x Patrons = 35
<u>÷ 0.20 </u> <u> ÷ 0.20 </u>
Patrons = 175
<u>Now, let's write the equation we used to get that answer</u>:
Let P represent the total number of patrons, then the equation is:
(100% - 80%)P = 35
= (1.00 - 0.80)P = 35
= 0.20P = 35
= P = 175
<u>Part B: </u>
80% of Patrons = Like
0.80 x 175 = Like
140 = Like
Answer:
3.75 feet
Step-by-step explanation:
The length of the frame is 3 times the width.
Let the width be x.
The length will be 3x.
Kyle uses 10 feet of wood to make the frame. This means that the perimeter is 10 feet.
The perimeter of a rectangle is:
P = 2(L + W)
=> 10 = 2(3x + x)
=> 10/2 = 4x
5 = 4x
=> x = 5/4 = 1.25 feet
The width is 1.25 feet. The length is therefore:
1.25 * 3 = 3.75 feet
Answer:
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
61 / 10
Decimal Form:
6.1
Mixed Number Form:
6 1/10
M∠A = 42° [isosceles triangle]
m∠B = 180 - 42 - 42 = 96° [in a triangle, the three interior angles always add to 180°]
m∠C = 180 - 96 - (x+12)
m∠C = 84 - x - 12
m∠C = 72 - x2x+9 + 3x-1 + 72-x = 180
4x + 80 = 180
4x = 180 - 80
4x = 100
x = 100/4
x = 25m∠C = 72 - x = 72 - 25 =
47°
<span>I hope this helped</span>
