Answer:
y = 5
Step-by-step explanation:
WY is the perpendicular bisector of XZ and so divides ΔWXZ into 2 congruent triangles ΔWXY and ΔWZY
Hence WZ = WX ← corresponding sides, thus
5y - 8 = 2y + 7 ( subtract 2y from both sides )
3y - 8 = 7 ( add 8 to both sides )
3y = 15 ( divide both sides by 3 )
y = 5
Answer:
n=6
Step-by-step explanation:
64(4^n)=262144 then divide it by 64 which is 4^n=4096. divide 4096 by 4 and you get 6
Answer:
1/3 cup of juice per cup of berries
Step-by-step explanation:
The table shows that if we go from 0 to 4 cups (a "run" of 4 cups), the juice output is 1 1/3 (or 4/3) (a "rise" of 4/3 cups), and so the desired constant of proportionality is the unit rate
(4/3) cups
------------------------ = 1/3 cup of juice per cup of berries
4 cups berries
Let s represent number of shirts and h represent number of hats.
We have been given that the organizers of a talent show have budgeted $1800 to buy souvenir clothing to sell at the event. They can buy shirts for $10 each and hats for $8 each.
The cost of s shirts would be 
and cost of h hats would be 
. The cost of s shirts and h hats should be less than or equal to 1800. We can represent this information in an inequality as:
We are also told that organizers plan to buy at least 5 times as many shirts as hats. This means that number of shirts should be greater than or equal to 5 times hats. We can represent this information in an inequality as:
Therefore, the second inequality should be and option C is the correct choice.
The answer to the question is A
