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3 years ago

Can someone please help me! SOLVE FOR X

Mathematics

1 answer:

tamaranim1 [39]3 years ago

4 0

Answer:

x =3.375

Step-by-step explanation:

We can use proportions to solve this problem. Put the smaller triangle side length over the larger triangle side length.

6+x 12

---------- = -----------

25 32

(6+x) *32 = 12*25

Distribute

192 +32x = 300

Subtract 192 from each side

192-192 +32x = 300-192

32x =108

Divide by 32

32x/32 = 108/32

x =3.375

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3 years ago

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2 years ago

What is the simplified form of the expression?

AleksAgata [21]

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3 years ago

The Best Company produces two commercial products : blenders and mixers. Both products require a two step production process inv

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Answer:

Maximum profit is $87 when 3 blenders and 11 mixers are produced.

Step-by-step explanation:

let blender is represented by $x_{1}$ and and mixer by $x_{2}$ .

total time to deliver parts = 24 hrs

total time to assemble = 30 hrs

time taken by each blender to deliver parts = 1 hr

time taken by each mixer to deliver parts = 2 hr

time taken by blenders in final assembling= 2 hr

time taken by mixers in final assembling = 3 hr

Each blender produced nets the firm= $7

Each mixer produced nets the firm= $6

Using this all data linear system of equation will be:

$x_{1} + 2x_{2} =24 ----- (1)\\2x_{1} + 2x_{2} = 30 ----- (2)\\$

profit function:

$z= 7x_{1} +6x_{2} --- (3)$

$from (1)\\x_{1} = 0 \implies x_{2}= 12\\x_{2}= 0 \implies x_{1}= 24\\$

Coordinate points obtained from (1) are (0,12) and (24,0)

$from (2)\\x_{1}=0 \implies x_{2}=10\\x_{2}=0 \implies x_{1}=15\\$

Coordinate points obtained from (2) are (0,10) and (15,0)

plotting these on graph

points lying in feasible region are:

A(0,0)

B(0,10)

C(3,11)

D(12,0)

substituting these points in (3) to find the maximum profit:

for A (0,0)

z = 0

for B (0,10)

z = 60

for C (3,11)

z = 87

for D (12,0)

z=84

So maximum profit is $87 when 3 blenders and 11 mixers are produced.

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3 years ago