Answer:
x - 7 = age of whatever you are finding the age of
Step-by-step explanation:
seven years younger implies that you are taking away so we minus it from our variable, Tates age is the variable since it does not tell us his/her age in the statement given.
Answer:
the second one
Step-by-step explanation:
the one that starts with the solution of a number
please mark brainliest
Answer:
dx/dy = (x^4 - 2x^5y - 6xy^2) / (5x^4y^2 - 4x^3y + 2y^3).
Step-by-step explanation:
x^5y^2 − x^4y + 2xy^3 = 0
Applying the Product and Chain Rules:
y^2*5x^4*dx/dy + 2y*x^5 - (y*4x^3*dx/dy + x^4) + (y^3* 2*dx/dy + 3y^2*2x) =0
Separating the terms with derivatives:
y^2*5x^4*dx/dy - y*4x^3*dx/dy + y^3* 2*dx/dy = x^4 - 2y*x^5 - 3y^2*2x
dx/dy = (x^4 - 2x^5y - 6xy^2) / (5x^4y^2 - 4x^3y + 2y^3)
Answer:
The solution is (-2,4)
Step-by-step explanation:
We'll solve the system
2x+5y=16
-5x-2y=2
using elimination by addition and subtraction.
Let's eliminate x first. To do this, multiply the first equation by 5 and multiply the second equation by 2. We get:
10x + 25y = 80
-10x - 4y = 4
----------------------
21y = 84. Thus, y = 84/21 = 4.
Subbing 4 for y in the second equation, we get
-5x -2(4) = 2, or
-8 - 2 = 5x, or
-10 = 5x. Thus, x = -10/5 = -2.
The solution is (-2,4)
77 unicorns, because yesterday the ratio was 6:5 and today it is 3:4. If you add the numbers for both ratios together, you get 11 and 7. Finding the LCM of these two gives 77 (because 7 and 11 are both prime).
You find the LCM of the sums because when you find values based on ratios, you divide value by the sum of the ratio.
e.g. I have 100 fruits. The ratio of apples to oranges is 2:3. How many apples are there?
To solve this you'd add 2 and 3 (5), divide 100 by 5 (20), multiply that by 2 (40) because that's the ratio of apples to oranges.
In this case, you do the reverse. So If I have 77 unicorns, then yesterday there were (77/11 = 7, 7*6= 42, 7*5= 35) 42 green unicorns and 35 yellow. The sum of 42 and 35 is 77. If you do this process with the other ratio you'll get similar results as well.
