A restaurant manager wants to purchase 200 sets of dishes. One design costs $25 per set while another costs $45 per set. If she only has $ 7400 to spend, how many of each design should she order?
Write a system of linear equations & solve.

80 sets costing $25/set

120 sets costing $45/set

Step-by-step explanation:

let x = number of sets costing $25/set

let y = number of sets costing $45/set

we have to build eqautions form the info given

(1) . total sets = 200   x + y =200

(2) . total sets = 7400  25x + 45y = 7400

use the substitution method

(rest of work shown below in the picture)

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°