To find how much older Leo is than John, we need to first assign our variables. In this case, let's say that x = Leo, y = Karla, and z = John. Now, let us turn words into numbers.
x = 2y
z = y - 7
Next, we need to create an equation for their combined ages. This is what the equation should look like:
x + y + z = 37
Now, just substitute the expressions we found for x and z. This is what we get:
2y + y + (y - 7) = 37
Solve for y:
2y + y + y - 7 = 37
4y - 7 = 37
4y = 44
y = 11
So now we have the value for y, which is Kayla's age. Therefore, just substitute the value for y back into the equations for x and z.
x = 2(y) => x = 2(11) => x = 22
z = y - 7 => z = 11 - 7 => z = 4
Now that we have the values for x, y, and z, all we need to do now is reassign them back to their respective names. Our final answer will be: John is 18 years older than Leo. The answer to your query would be E) 18. Hope this helps and have a nice day!
Answer:
Step-by-step explanation:
The length PN is the diagonal of a rectangle that is 33 m by 60 m. Its length can be found from the Pythagorean theorem.
PN² = 33² +60² = 4689
PN = √4689 ≈ 68.476 . . . meters
Diagonal NS is the hypotenuse of triangle PNS. Once again, the Pythagorean theorem can be used to find its measure.
NS² = PN² +PS² = 4689 +1600 = 6289
NS = √6289
NS ≈ 79.3 . . . meters
__
We have the side adjacent (PN) and the side opposite (PS) to angle PNS, so we can use the tangent function to find the angle:
tan(PNS) = NS/PN = 40/68.476
∠PNS = arctan(40/68.476)
∠PNS ≈ 30.3°
Answer:
One number, let's call it x, is 6 more than twice the other number, let's say this number is y.
x= 2y+6
x+y=21
We're left with a system of equations.
If we substitute the first equation in the second we find the value of y.
(2y+6)+y=21
3y+6=21
3y=15
<u><em>y=5</em></u>
Now that we have found the value of y, we can take that value and substitute it in the second equation (since it's easier) to find the value of x.
x+ (5)=21
<u><em>x=16</em></u>
<u><em>Now to check if our answers are correct, we plug in both values into any equation and see if they equate.</em></u>
x+y=21
(16)+(5)=21
21=21
Our solution is correct!
Answer:
ya
Step-by-step explanation:
x=23+98
Answer:
Are there pictures?
Step-by-step explanation:
