Lucy works for a company that manufactures liquid dyes for fabric. she currently wants to mix up some 23%-concentrated teal dye. she has 16 gallons of 15%-concentrated teal dye, as well as plenty of 25%-concentrated teal dye. how many gallons of the 25%-concentrated teal dye will lucy need to add to the 15%-concentrated teal dye to make a batch with a concentration of 23%? gallons

64 gallons

Step-by-step explanation:

Let he mixed x gallons of 25%-concentrated teal dye with 16 gallon of 15%-concentrated teal dye to make 23%-concentrated teal dye.

Thus, the total quantity of the resultant dye = (16+x) gallon

Also,

The concentration of 25%-concentrated teal dye + the concentration of 15%-concentrated teal dye = The concentration of 23%-concentrated teal dye.

⇒ 25 % of x + 15 % of 16 = 23 % ( x + 16 )

⇒ 25 of x + 15 of 16 = 23  ( x + 16 )

⇒ 25 x + 15 × 16 = 23 x +  23 × 16

⇒ 25 x + 240 =  23 x + 368

⇒ 25 x + 240 - 23 x = 368

⇒ 2 x  = 368 - 240

⇒ 2 x  = 128

⇒ x = 64

Hence, the quantity of 25%-concentrated teal dye = 64 gallons

64 Gallons

Step-by-step explanation:

Set up this problem with the same type of table you used in the “concentrated fuel” scenario in the written lesson.

answer: c i think

step-by-step explanation:

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is