The ratio of waiters to chefs is 1:3 respectively. If there are 15 chefs, how many waiters are there?

5 waiters

Step-by-step explanation:

Given the ratio of waiters to chef Is 1:3

If there are 15 chefs, number of waiters is = 1:3 x 15

= 1:3 = 1/3

Therefore

1/3 x 15

Multiply through

15/3

5

There are 5 waiters

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is