To solve this, you need to make the amount they built on Monday and the amount they built on Tuesday compatible with each other so you can add them together to subtract that amount from 4.
Start by multiplying 1/2 by 3, and 1/3 by 2.
This gives you 3/6 and 2/6. Now add them together:
3/6 + 2/6 = 5/6
Finally, subtract this amount from 4:
4 - 5/6 = 3 1/6 (19/6 works too)
Hope this helps! :)
Answer:
(35 - 4)/2 = w and 15.5kg
Step-by-step explanation:
To get the weight of both bags you would have to first subtract the backpack's weight from the total weight. 35 - 4 = 31. Now divide by 2 to get the weight of one bag. 31/2 = 15.5. Each bag weighs 15.5 kg
Answer:
([-3], [0]), ([3], [0])
Step-by-step explanation:
The given equation of the hyperbola is presented as follows;
![\dfrac{x^2}{9} - \dfrac{y^2}{49} = 1](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5E2%7D%7B9%7D%20-%20%5Cdfrac%7By%5E2%7D%7B49%7D%20%3D%201)
The vertices of an hyperbola (of the form)
are (± a, 0)
The given hyperbola can we presented in a similar form as follows;
![\dfrac{x^2}{9} - \dfrac{y^2}{49} = \dfrac{x^2}{3^2} - \dfrac{y^2}{7^2} = 1](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5E2%7D%7B9%7D%20-%20%5Cdfrac%7By%5E2%7D%7B49%7D%20%3D%20%5Cdfrac%7Bx%5E2%7D%7B3%5E2%7D%20-%20%5Cdfrac%7By%5E2%7D%7B7%5E2%7D%20%3D%201)
Therefore, by comparison, the vertices of the parabola are (± 3, 0), which gives;
The vertices of the parabola are ([-3], [0]), ([3], [0]).
It is best represented by a plane.
Answer:
Step-by-step explanation:
Givens
d1 = d
d2 = 75 - d
r1 = x
r2 = x + 7
t = 3
Equation
x*t + (x + 7)*t = 75
This equation represents the total distance travelled. Neither one of the cyclists have gone 75 miles, but they both have gone distances that equal a total of 75 miles.
Solution
3x + (x + 7)*3 = 75
3x + 3x + 21 = 75
6x + 21 = 75
6x = 54
6x/6 = 54/6
x = 9
Answer
The first cyclist is going 9 miles / hr
The second cyclist is going 16 miles / hour