Answer: There are 7 crayons in each box.
Step-by-step explanation: First, the most difficult part is coming up with the equation. You know that she has a total of 59 since it mentioned “a collection of 59 crayons”. Then you also know there are 17 crayons on the side, so you can subtract 17 from 59, the total (which is now 42). Then you have 6x. 6 is for the number of boxes and x is for the unknown number of crayons found in each box. Then you can just simply solve after identifying each factor of the equation.
Answer:
Step-by-step explanation:
Since both the triangles are similar, their sides will be in proportion. As one side is getting doubled, by SSS test of similarity, all the other sides will get doubled as well.
As the perimeter of a triangle is sum of its sides, the doubling of all sides will result in doubling of the perimeter.
Hence, perimeter of 2nd triangle = 14 cm.
Answer:
option B
Step-by-step explanation:
To get the graph of piecewise function
We make a table for each function
Plug in end points and make a table
First function f(x) = (x+2)^2 if x<-1
x <-1 so we pick number for x less than -1. Also we use -1 but we use open circle at x=-1
x y = (x+2)^2
-3 (-3+2)^2= 1
-2 (-2+2)^2 = 0
-1 (-1+2)^2 = 1
Now plot the table on graph
second function f(x) = |x| + 1 if -1<=x<=1
Make a table, we use -1, 0 and 1 because we have -1<=x<=1 (-1 and 1 are included)
x y=|x| +1
-1 |1| + 1 = 2
0 |0|+1 = 1
1 |1|+1= 2
Third function 
if x>1
We find out y when x=1 and make a open circle at x=1 because we have x>1
x
1 
4 
Plot all the point on the graph
Correct graph is attached below
317/8
=39.625
It is impossible to divide 317 equally into 8 bowls
The fairest way to distribute the marbles would be to have 39 in three bowls and 40 in the five other bowls.
Hope this helps!
