The value of z is 8.
The two polygons are similar. Every length value for the polygon on the right is 2 units smaller than on the left. So, FG is 6, whereas BC is 8. Z is 8, whereas on the left is was 10. etc.
Answer: cheese pizzas = 25 , Pepperoni pizzas = 15
Step-by-step explanation:
Let x = Number of cheese pizzas, y = Number of pepperoni pizzas.
As per given,

Multiply 7 on both sides of (i), we get

Eliminate (iii) from (ii), we get

Put value of y in (i) , 
Hence, cheese pizzas = 25 , Pepperoni pizzas = 15
Answer:
-2x-2y=-8
-4x-8y=-20
From the 1st eqn
Dividing through by 2
you have
-x-y=-4
Multiply through by -(minus)
x+y=4
x=4-y
Substitute into eqn 2
-4x-8y=-20
-4(4-y)-8y=-20
-16 + 4y - 8y = -20
-4y = -20 +16
-4y = -4
y= 1
Substitute into any of the other eqn's to get x
x= 4-y
x= 4-1
x=3
Answer:
Glados makes $44.76 per hour.
Step-by-step explanation:
Given:
Total hours Glados worked this week = 38.4
Amount earned by Glados this week = $1,718.64
To find her hourly earnings for the week.
Solution:
We will use unitary method to find the unit rate.
If for 38.4 hours Galdos earned = $1,718.64
Then for 1 hour she will earn = 
Thus, Galdos' hourly earnings for the week = $44.76
Answer:
Step-by-step explanation:
Assuming Roberto wants to completely fill each page that he puts cards in, this function describes the number of 2-card pages, a, and 3-card pages, b.
2a + 3b =18
Ricardo can fill up 9 2-card pages, and 6 3-card pages.
a=9, b=0
We must add 2 3-card pages at a time,so that we have an even number for the 2-card pages:
a=6, b=2
Add 2 to b once more:
a=3, b=4
One more time:
a=0, b=6:
Thus, Ricardo can display his figures in the following page combinations:
a=9, b=0
a=6, b=2
a=3, b=4
a=0, b=6
Remember that a= number of 2-card pages and b=number of 3-card pages
There are 4 different ways that Ricardo can arrange his figures in terms of what kind of pages he uses.