Answer:
Step-by-step explanation:
x + y + y + z + z + x = 2x + 2y + 2z = 22
x + y + z = 22
22 ÷ 3 =
Step-by-step explanation:
length = width + 4
length×width = 77
using the first in the second equation
(width + 4)×width = 77
width² + 4width = 77
now, what square or squaring factors can create this ?
we are looking for (width + a)(width + b).
we know, this is
width² + (a+b)width + ab
so, what a, b can create 4 (the factor in our actual equation) ?
1, 3 and 2, 2, if we are only looking at whole numbers.
and which of the possibilities can we use to turn 77 into a square number ?
81 is only 4 away ...
2+2 = 4.
aha !
so, we can actually say our equation is
width² + 4width + 4 = 77 + 4
and then
(width + 2)² = 81
width + 2 = 9
width = 7 m
length = width + 4 = 7 + 4 = 11 m
Answer:
15/4
Step-by-step explanation:
This is a proportion question
It says 1/2 crates of apple are used for every 3/4 crates of oranges
For 5/2 crates of apple, x crates of oranges will be needed.
To get x, we simply multiply 1/2 by x and equate it to 3/4 multiplied by 5/2
This means: 0.5x = 0.75 × 2.5
x = ( 0.75 × 2.5 ) ÷ 0.5 = 3.75
Hence for 5/2 crates for apple, she will need 15/4 crates of oranges.
Answer:
Step-by-step explanation:
x² -14x+50= 0
this equation has 2 solutions because is a quadratic
the solurions are imaginary roots because the discriminant is less then 0
b²-4ac = (-14)²-4*1*50 = 194-200= -6
to find the actual roots use the quadratic formula
