Answer:
1000 : 269 : 47
Step-by-step explanation:
A ratio is a way of comparing the value or amount of one quantity to another.
We are to find the ration of water to sucrose to saline solution, hence, it must remain in that order.
Water : Sucrose : Saline solution
The amount of water is 1 litre (1 * 1000 ml = 1000 ml)
The amount of sucrose is 269 ml
The amount of saline solution is 47 ml
Therefore, the ratio of water to sucrose to saline solution is:
W : S : SS = 1000 : 269 : 47
Since 1000, 269 and 47 have no common factors, that is the simplest form of the ratio.
The first one it's the first image, and the second one is the second image.
First, divide 648 by 9. 648/9=72. Now we know that Ashley covers 72 miles in an hour. In order to get the number of miles she covers in 7 hours we must multiply 72 by 7 which equals 504. So Ashley would drive 504 miles in 7 hours.
Answer:
x = -2 and y = 0
Step-by-step explanation:
5x + y = -10
4x - 7y = -8
Rearrange the first equation to equal y.
5x + y = -10
y = -10 - 5x
Replace y in the second equation with the first equation.
4x - 7y = -8
4x - 7(-10 - 5x) = -8
4x - (-70 -35x) = -8
4x + 70 + 35x = -8
Rearrange the equation to find x.
4x + 35x = -8 - 70
39x = -78
x = -2
Now that you know x, use the rearranged first equation to find y.
y = -10 - 5x
y = -10 - 5(-2)
y = -10 + 10
y = 0
Answer:
+3.464; -3.464
Step-by-step explanation:
call A = y + 2x + 1 = 0 => y = (1 - 2x)
call B: 4y - 4(x^2) - 12x = -7
=> replace y from A to B =>
- 4(1 - 2x) - 4(x^2) - 12x = -7
- 4 - 8x - 4(x ^ 2) - 12x = -7
- -8x - 4(x ^ 2) - 12x = -7 - 4 = -11
- -4(x^2) - (8x - 12x) = -11
- -4(x^2) + 4x = -11
- -4(x^2) + 4x + 11 = 0
=> get delta Δ = (-4^2) - 4*(-4 * 11) = 192
=> Δ > 0 => got 2 No
=> x1 = 
= 
= -1.232
=> x2 = 
=
= 2.232
=> replace x from B into A
=> y1 = (1 - 2x) = (1 - 2 * -1.232) = 3.464
=> y2 = (1 - 2x) = (1 - 2 * 2.232) = - 3.464
