for a small party of 12 people, the caterer offered a choice of a steak dinner for $12:00 per or a chicken dinner for $10.50 the final cost for the meals was 138:00. how many of each was ordered?

let the $12 dish be x and the other y

x + y = 12 <--- 1

12x + 10.50y= 138 <--- 2

multiply equation 1 by 12

so now we have

12x + 12y = 144

12x + 10.50y = 138

now subtract each one and that cancels out x

1.5y = 6

y = 4

now subsitute that into any equation

x + 4 = 12

x = 12 - 4

x = 8

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet