Answer:
The non-production machinery that uses electricity, the physical size of the items, the skill level of the operators, and the outdoor temperature and humidity could all be independent variables in the monthly electricity cost. Step-by-step explanation.
So triangles have 180 degrees total and you have the measure of two angles so you can solve for the third.
T + 41+ 90= 180 add together 41 and 90
T + 131 =180 subtract 131 from 180
T = 49
So the measure of angle T is 49 degrees
Answer:
x=30 ; y=60 ; z=120.
Step-by-step explanation:
(we can solve it in a system.)
z+2x=180 => z=180-2x
y+4x=180 => y=180-4x
y+z=180
4x+2x=180 => 6x=180 => x=30
<=>
z=180-2*x=180-2*30=180-60=120
y=180-4x =180-4*30=180-120=60
We're measuring a quantity of pure detergent.
We start with 11 gallons of an 18% solution. 18% of that, or 1.98 gallons, is pure detergent, and the rest of these 11 gal. is water: 9.02 gal. We will add x gallons of water to this solution to obtain (11+x) gallons of a 12% solution.
We need to find x to satisfy this equation:
(11 gallons + x)(0.12) = (11 gallons)(0.18)
Div. both sides by 0.12, we get (11 gallons + x) = (11 gallons)(1.5)
Mult. both sides by 10, we get 110 gallons + 10x = (11 gallons)(15)
Then 10x = 165 gallons - 110 gallons, or 55 gallons.
Div. both sides by 10, we get x = 5.5 gallons (answer)
