Let's say Miles Carlos drove = x and taook time = t1
Miles <span>Maria drove = y and took time = t2
But the total mile both drove = 233 and took time = 4.4 hrs
So , x + y = 233
t1 + t2 = 4.4
However, speed = distance / time
for Carlos, 55 = x / t1
for Maria, 50 = y / t2
</span><span>x + y = 233
</span><span>55 t1 + 50 t2 = 233
</span><span>t1 + t2 = 4.4
</span>50 t1 + 50 t2 = 220
5 t1 = 13
t1 = 2.6 hrs for Carlos
t2 = 1.8 hrs
Therefore Maria drove 4.4 hrs
Answer:
Step-by-step explanation:
The given function is,
![y=\log(-x)](https://tex.z-dn.net/?f=y%3D%5Clog%28-x%29)
The parent function of it is,
![y=\log(x)](https://tex.z-dn.net/?f=y%3D%5Clog%28x%29)
In
graph y-axis is an asymptote (vertical) , so never crosses the y-axis. Hence no y intercept. And x intercept of
is x=1.
The sign of x is changed in the given function
as compared to its parent function ![y=\log(x)](https://tex.z-dn.net/?f=y%3D%5Clog%28x%29)
While reflecting over y axis or x=0 line, only the sign of x changes.
So graph of
is the reflection of
over y axis. Hence it has no y intercepts, x intercept at x= -1 and y-axis as asymptote (vertical).
Answer:
tons of high steel and
tons of low steel
Step-by-step explanation:
Let x be the number of tons of high grade steel and y be the number of tons ow low grade steel needed.
In x tons of high grade steel there are
tons of iron
tons of magnese
In y tons of low grade steel there are
tons of iron
tons of magnese
NASA orders 500 tons of steel, so
![x+y=500](https://tex.z-dn.net/?f=x%2By%3D500)
and specifies that it must be in the proportion 80% iron and 20% magnese, so
![0.85x+0.67y=500\cdot 0.8\\ \\0.85x+0.67y=400](https://tex.z-dn.net/?f=0.85x%2B0.67y%3D500%5Ccdot%200.8%5C%5C%20%5C%5C0.85x%2B0.67y%3D400)
From the first equation,
![x=500-y](https://tex.z-dn.net/?f=x%3D500-y)
Substitute it into the second equation:
![0.85(500-y)+0.67y=400\\ \\425-0.85y+0.67y=400\\ \\-0.18y=-25\\ \\y=\dfrac{2,500}{18}=138\dfrac{8}{9}\ tons\\ \\x=361\dfrac{1}{9}\ tons](https://tex.z-dn.net/?f=0.85%28500-y%29%2B0.67y%3D400%5C%5C%20%5C%5C425-0.85y%2B0.67y%3D400%5C%5C%20%5C%5C-0.18y%3D-25%5C%5C%20%5C%5Cy%3D%5Cdfrac%7B2%2C500%7D%7B18%7D%3D138%5Cdfrac%7B8%7D%7B9%7D%5C%20tons%5C%5C%20%5C%5Cx%3D361%5Cdfrac%7B1%7D%7B9%7D%5C%20tons)
Answer:
For the dot to dot, the slope is 8/4
simplified = 2
Step-by-step explanation:
Using Pythagoras theorem, we have
AC^2=AB^2+BC^2
(9)^2=AB^2+(7)^2
81=AB^2+49
81-49=AB^2
32=AB^2
√32=AB