A shift planning for a large banquet think that two out of every five dinner guess will order his soup appetizer he expects 800 guest at the banquet use equivalent ratios to estimate how many cups of soup you should prepare

Number of Cups of soup to be prepared = 320.

Step-by-step explanation:

Let x = estimated cups of soup.

2 out of every 5 guests will order soup (given). Meaning 2 cups of soup will be ordered for every 5 guests.

This gives us a ratio of 2:5.

Total number of guests = 800 (given)

So we have the equivalent ratio. 2:5 = x:800

Cross multiply.

Divide both sides by 5.

Therefore, 320 cups of soup should be prepared

its an acute right triangle

step-by-step explanation:

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116