Multiply 2x-5y= -21 by 3 to make it 6x-15y= -63
Multiply 3x-3y= -18 by -5 to make it -15x+15y=90
This cancels the y’s out which leaves us with
6x=-63
&
-15x=90
x for 6x=-63 equals - 10.5 so x is - 10.5 and for -15x=90, x= -6
Then you plug in x into any equation you’d like to find y.
Let’s plug in - 10.5 into 6x... equation.
6(- 10.5)-15y=-63
63-15y= -63
-63 -63
-15y=0
y=0 and x= - 10.5. When you plug in this values it makes the equation true!
But the correct answer is the first one north. Sorry if I’m doing too much hahah
If I’m confusing here’s the right answer...
6x-15y= -63
-15x+15y=90
Answer:
19
Step-by-step explanation:
The ratio of green beans (g) to pumpkin (p) is ...
... g : p = 1 : 5
Then the ratio of green beans to the total is ...
... g : (g+p) = 1 : (1+5) = 1 : 6
Since you have
... g/total = (1/6)
... g = total · 1/6
you can substitute 114 for the total to find ...
... g = 114 · 1/6 = 19
I got 16, you may review the image I've attached to see how I got my answer.
The diagram is of a right triangle with
Hypotenuse = 233
One leg of the triangle = 105
Another Leg = <em>we have to find</em>
<em />
<em />
Pythagorean Theorem can be written as:
Thus, we can write:
![\begin{gathered} 105^2+\text{AnotherLeg}^2=233^2 \\ \text{AnotherLeg}^2=233^2-105^2 \\ \text{AnotherLeg}^2=43264 \\ \text{AnotherLeg}=\sqrt[]{43264} \\ \text{AnotherLeg}=208\text{ ft} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20105%5E2%2B%5Ctext%7BAnotherLeg%7D%5E2%3D233%5E2%20%5C%5C%20%5Ctext%7BAnotherLeg%7D%5E2%3D233%5E2-105%5E2%20%5C%5C%20%5Ctext%7BAnotherLeg%7D%5E2%3D43264%20%5C%5C%20%5Ctext%7BAnotherLeg%7D%3D%5Csqrt%5B%5D%7B43264%7D%20%5C%5C%20%5Ctext%7BAnotherLeg%7D%3D208%5Ctext%7B%20ft%7D%20%5Cend%7Bgathered%7D)
Thus,
The distance between the traffic lights on Walnut Street is:
208 feet
