Answer:
Step-by-step explanation:
29
Answer:
5 g
Step-by-step explanation:
Answer:
26 students per classroom
Step-by-step explanation:
To solve this, the ratio 234 students:9 classrooms must be converted to:
s students:1 classroom
To convert the ratio, 9 was divided by 9 to get 1, and so you must also divide 234 by 9 to maintain the same ratio, which gives us the answer:
26 students: 1 classroom
Answer:
The x-coordinate of A is:
a = 6.1
Step-by-step explanation:
For point A:
x-coordinate = a
x-coordinate + y-coordinate = 14
y-coordinate = 14 - x-coordinate
y-coordinate = 14 - a
So point A can be written as (a, 14-a)
Let (a,14) be (x₁,y₁)
Point P can be written as (3a, a²+13a-11)
Let P be (x₂,y₂)
Slope of a line passing through 2 point is given as:
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
where m=7
Substitute all values
![7=\frac{(a^2+13a-11)-(14-a)}{3a-a}\\7=\frac{a^2+13a-a-11-14}{3a-a}\\7=\frac{a^2+12a-25}{2a}\\14a=a^2+12a-25\\a^2-2a-25=0\\a=6.1,a=-4.1](https://tex.z-dn.net/?f=7%3D%5Cfrac%7B%28a%5E2%2B13a-11%29-%2814-a%29%7D%7B3a-a%7D%5C%5C7%3D%5Cfrac%7Ba%5E2%2B13a-a-11-14%7D%7B3a-a%7D%5C%5C7%3D%5Cfrac%7Ba%5E2%2B12a-25%7D%7B2a%7D%5C%5C14a%3Da%5E2%2B12a-25%5C%5Ca%5E2-2a-25%3D0%5C%5Ca%3D6.1%2Ca%3D-4.1)
As A has only positive coordinates
a = 6.1
We need to simplify it as there is no definite answer without knowing the value of <em>x. </em><span><span><span>2.5x</span>+<span>0.1x</span></span>−<span>0.01x</span></span><span>=<span><span><span><span>2.5x</span>+<span>0.1x</span></span>+</span>−<span>0.01x </span></span></span>Find the like terms:<span>=<span><span><span>2.5x</span>+<span>0.1x</span></span>+<span>−<span>0.01x
All of them have <em>x</em>, so they can be combined.
</span></span></span></span><span>=<span>(<span><span><span>2.5x</span>+<span>0.1x</span></span>+<span>−<span>0.01x</span></span></span>)
</span></span><span>=<span>2.59<span>x</span></span></span>