Answer:
Fiona=11
Dan=33
Stephen=22
Step-by-step explanation:
Fiona:1/2+3+1×66
1/6×66
=11
Dan: 3/6×66=33
Stephen:2/6×66=22
Combine like terms to get 2y2-2y+4x
Answer:
Option (3)
Step-by-step explanation:
Perpendicular lines: Perpendicular lines are the lines that intersect each other at right angles
Intersecting lines: Intersecting lines are the lines that intersect each other at a point to form angles but vertically opposite angles are equal
Hence , from above conclusion we can write Perpendicular lines must cross to form ninety degree angles, but intersecting lines cross to form angles of varying measures.
Hence , Option (3) is correct answer
Answer: Area = 6m²
Smaller number = 16
Hours = 9.6 h
Step-by-step explanation:
A rectangle is 5 meters longer than its width. If the length is shortened by 2 meters and width is increased by 1 meter, the area remains the same. Find the area of the rectangle.
1) w = x m 2) w = x + 1 m
l = x + 5 m l = x + 5 - 2 = x + 3 m
A₁ = A₂
A = w*l
A₁ = x(x+5) = x² + 5x
A₂ = (x+1)(x+2) = x² + x + 2x + 2 = x² + 3x + 2
A₁ = A₂
x² + 5x = x² + 3x + 2
5x - 3x = 2
2x = 2
x = 1
A₁ = x(x+5) = 1.6 = 6 m²
The ratio of two numbers is 2:5. If the larger number is 40, what is the smaller number.
<u> 2 </u> = <u> x </u>
5 40
5x = 80
x = 80/5 = 16
Sixteen construction workers can finish cementing a floor of a building in 3 hours. On a certain day, only 5 construction workers are available for the job. How long will it take the 5 construction workers to do the cementing job?
workers hours
16 3
5 x
↑ ↓ inversely proportional
<u> 5 </u> = <u> 3 </u>
16 x
5x = 16*3
5x = 48
x = 48/5
x = 9.6 h
7/10 as hundredths decimal: .07
7/10 as fraction: 7/100
