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
Answer:
don´t ge it sorry
Step-by-step explanation:
Answer:
The required y-value is -121.
Step-by-step explanation:
There are several ways in which we could approach this problem. From the two binomial factors (x + 8) and (x - 14), we know that the two roots are x = -8 and x = 14. The axis of symmetry is the vertical line x = 3. This value is halfway between x = -8 and x = 14.
Substituting x = 3 into f(x)= -(x+8)(x-14) results in f(3) = -(11)(-11) = -121.
The vertex is at (3, -121). The required y-value is -121.
80 g........12 g salt
120 g........15 g salt
I. 12/80=0.15=15/100= 15 %
II. 15/120=0,125= 125/1000=12,5 /100=12,5 %
if you werw to mix these solutions
120+80=200 g solutions
12+15=27 g salt
27/200=13,5/100= 13.5 %
Answer:
Please Find the solution below
Step-by-step explanation:
Let us say the two equations are
x+y=5 --------------(A)
x-y=1 -------------(B)
Let us solve them for x and y by adding them
2x=6
x=3
Hence from (A)
3+y=5
y=2
Hence our solution is
x=3, y=2
Adding same number to equation (A) say 2 we get
x+y+2=5+2
x+y=5+2-2
x+y=5
Hence equation remains the same while adding same number to each side.
Same thing happens if we add same number to equation (B)
Hence we draw the conclusion that the solution remains the same if same number is added to each side of the original equation.