Landon has 60 peppermints and 90 candy corns. he wants to make packages of these candies to bring to his school to pass out to his classmates. what is the maximum number of packages he can make so that there are no candies left over?

landon has 60 peppermints and 90 candy corns. he wants to make packages of these candies to bring to his school

the maximum number of packages we take GCF

GCF gives the maximum number of grouping

WE find GCF of 60  and 90

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 are the factors of 60

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 are the factors of 90

So greatest common factor is 30

Hence , 30 packages he can make so that there are no candies left over

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation: