Answer: 50 km
Step-by-step explanation: So the map has a scale of 1 cm: 20 km. Next, you look at how far they are apart and see if the scale and the distance on the map are the same measurement. In this case, they are both centimeters so they stay the same. Then, all you do is multiple the real size, 20 km, by
2.5
/1
. Then, 20 x 2.5=50. So the answer is 50 km
Answer: The answer is ![\textup{The other root is }\dfrac{8}{3}~\textup{and}q=40.Step-by-step explanation: The given quadratic equation is[tex]3x^2+7x-q=0\\\\\Rightarrow x^2-\dfrac{7}{3}x-\dfrac{q}{3}=0.](https://tex.z-dn.net/?f=%5Ctextup%7BThe%20other%20root%20is%20%7D%5Cdfrac%7B8%7D%7B3%7D~%5Ctextup%7Band%7Dq%3D40.%3C%2Fstrong%3E%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3E%3Cstrong%3EStep-by-step%20explanation%3A%20%20%3C%2Fstrong%3EThe%20given%20quadratic%20equation%20is%3C%2Fp%3E%3Cp%3E%5Btex%5D3x%5E2%2B7x-q%3D0%5C%5C%5C%5C%5CRightarrow%20x%5E2-%5Cdfrac%7B7%7D%7B3%7Dx-%5Cdfrac%7Bq%7D%7B3%7D%3D0.)
Also given that -5 is one of the roots, we are to find the other root and the value of 'q'.
Let the other root of the equation be 'p'. So, we have

and

Thus, the other root is
and the value of 'q' is 40.
Answer:
Students on Honor Roll had no advantage to get the Science class requested. It was a fair class assignment. In fact No Honor Roll students had advantage over honor Roll Students in obtaining Science Class as requested.
Step-by-step explanation:
Here let us streamline the information we are given one by one
1.) Honor Roll
Get Requested Science Class : 64
Did Not get Requested Science Class : 80
Total : 144
Percentage of Honor Roll Students getting Science class as requested =

= 44.44%
2.) No Honor Roll
Get Requested Science Class : 315
Did Not get Requested Science Class : 41
Total : 356
Percentage of Non Honor Roll Students getting Science class as requested 
= 88.8%
By observing the above result , we can assume that Honor Roll students did not have any advantage over non Honor Roll students in getting Science Class as they requested.
1) 3+17= 20
2) 40-15= 25
3) 3 x 20= 60
4) 35/5= 7
5) 2 x 6= 1
12= 1
1/12.
Answer:
Option B)
Step-by-step explanation:
We are given the following in the question:
Priya uses
cups of flour to make 3 loaves of banana bread.
Thus, we can write the ration of bread to amount of flour used as:

Now, b loaves of banana bread using f cups of flour.
This measurement will follow the same ratio.
Thus, we can write:

Thus, the correct answer is
Option B)
