Answer:
First, you have to form simultaneous equation for both of their ages in yerms of a and b :
b = 4a - 12 -------- ( 1 )
a + b = 28 -------- ( 2 )
Next, you will have to solve it by substituting ( 1 ) into ( 2 ) :
a + (4a - 12) = 28
5a - 12 = 28
5a = 28 + 12
5a = 40
a = 8
Then, substitute a = 8 into ( 1 ) :
b = 4(8) - 12
b = 32 - 12
b = 20
Answer:
3750 feet long
Step-by-step explanation:
you would multiply the inches of the model ( 15) by the feet of the scale ( in this case 250) to get the real amount of feet for the boat.
Answer:
ST = 5
Step-by-step explanation:
Calculate ST using the distance formula
d = ![\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E2%2B%28y_%7B2%7D-y_%7B1%7D%29%5E2%20%20%20%20%7D)
with )x₁, y₁ ) = S(- 5, - 1) and (x₂, y₂ ) = T(- 2, 3)
ST = ![\sqrt{(-2+5)^2+(3+1)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-2%2B5%29%5E2%2B%283%2B1%29%5E2%7D)
= ![\sqrt{3^2+4^2}](https://tex.z-dn.net/?f=%5Csqrt%7B3%5E2%2B4%5E2%7D)
= ![\sqrt{9+16}](https://tex.z-dn.net/?f=%5Csqrt%7B9%2B16%7D)
= ![\sqrt{25}](https://tex.z-dn.net/?f=%5Csqrt%7B25%7D)
= 5
um kevin bought 31.50 of what? food?
Answer:
![\boxed{x=5}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%3D5%7D)
Step-by-step explanation:
![\frac{1}{2} (4x-5)+\frac{5}{2} =10](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%284x-5%29%2B%5Cfrac%7B5%7D%7B2%7D%20%3D10)
→ Multiply everything by 2
![1(4x-5)+5=20](https://tex.z-dn.net/?f=1%284x-5%29%2B5%3D20)
→ Expand out the bracket
![4x-5+5=20](https://tex.z-dn.net/?f=4x-5%2B5%3D20)
→ Simplify
![4x=20](https://tex.z-dn.net/?f=4x%3D20)
→ Divide both sides by 4 to isolate x
![x=5](https://tex.z-dn.net/?f=x%3D5)