2/9 of the people on a restaurant are adults. If there are 95 more children than adults, how many children are there in the restaurant?

133 children

Step-by-step explanation:

children = x

adults = y

2/9 (x+y) = y

7y - 2x = 0

y+95=x

7y - 2(y + 95) = 0

7y -2y -190 = 0

5y +190

y = 38

38+95 = x

x = 133 children

Step-by-step explanation:

9/9 - 2/9=7/9

adults=7/9

children=2/9

difference between children and adults = 95 = 7/9 - 2/9 = 5/9

                                                                 so 95 = 5/9

if 5/9 = 95                  

  2/9 =                        2/9 x 95 ÷ 5/9 = 38      

answer = 38  

536

step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.