Please help with this geometry proof

An electronics store makes a profit of $72 for every television sold and $90 for every computer sold. The manager’s target is to

exis [7]

the complete question in the attached figure

we have

$72 ------------------------------------ > for every television sold

$90 ------------------------------------ > for every computer sold.

let

x--------------------- > numbers of television sold

y--------------------- > numbers of computer sold

then

72x+90y >= $360 ----------- >72x/72+90y/72 >= $360 /72---- >x+1.25y >= $5

y >= (5-x)/1.25--------------see the graph in attached figure

case A---------- > (5,2) (3,3) (1,4)

72x+90y --------- > 72*5+90*2=540 >= 360----- > is solution

72x+90y --------- > 72*3+90*3=486 >= 360----- > is solution

72x+90y --------- > 72*1+90*4=432 >= 360----- > is solution

case B------------ > (4,0) (2,2) (1,1)

72x+90y --------- > 72*4+90*0=288 < 360----- > is not solution

72x+90y --------- > 72*2+90*2=324 < 360----- > is not solution

72x+90y --------- > 72*1+90*1=162 < 360----- > is not solution

case C------------ > (3,1) (2,2) (1,0)

72x+90y --------- > 72*3+90*1=306 < 360----- > is not solution

72x+90y --------- > 72*2+90*2=324 < 360----- > is not solution

72x+90y --------- > 72*1+90*0=72 < 360----- > is not solution

case D------------ > (4,0) (3,3) (1,4)

72x+90y --------- > 72*4+90*0=288 < 360----- > is not solution

72x+90y --------- > 72*3+90*3=486 >= 360----- > is solution

72x+90y --------- > 72*1+90*4=432 >= 360----- > is solution

the answer is case A

4 0

3 years ago

Read 2 more answers

2x+y=x-y-3=6 What is x&y???? Please answer asap!!!!

Mariana [72]

2x + y = x - y - 3 = 6
Add 3 to everything
2x + y + 3 = x - y - 3 + 3 = 6 + 3
2x + y + 3 = x - y = 9
2x + y + 3 = 9
2x + y = 6 = x - y
Add y to everything
2x + 2y = 6 + y = x
Since x = 6 + y substitute every x with 6 + y
2(6 + y) + 2y = x
12 + 4y = x

This is as simplified as I can get and then just place 12 + 4y into every x in the original problem then solve

8 0

3 years ago

a box of national brand cornflakes is $2.09 for 12 ounces in a box of store label cornflakes is $3.09 with 20 ounces find the un

hichkok12 [17]

2.09/12 = 0.174...rounds to 17 cents per oz
3.09/20 = 0.154..rounds to 15 cents per oz

8 0

2 years ago

Someone please please help me with this !

Elanso [62]

Answer:

551.8 feet

Step-by-step explanation:

We are given

Adjacent = 1300 feet

Opposite = x

Angle = 23°

We solve using the trigonometric function Tangent

tan θ = Opposite/Adjacent

tan 23 = x/1300 feet

Cross Multiply

x = tan 23 × 1300 feet

x = 551.81726107 feet

Approximately = 551.8 feet

The Length of the building = 551.8 feet

3 0

2 years ago

How do you solve this?

mel-nik [20]

Answer:

Horizontal component = 9.6

Step-by-step explanation:

Recall that the horizontal component is given by the cosine projection;

$v_x=|v_0| * cos(\theta)$

which in our case (using the fact that in each degree of angle one has 60 minutes of angle, and therefore 30 minutes of angles is the same as 0.5 degrees) becomes:

$v_x=12.6 * cos(40.5^o)=9.5811$

And rounding to the nearest tenth as requested, we have:

$v_x=9.6$

7 0

2 years ago