Verified Answer :

94

(85+89+92+x)/4 = 90

(266+x)/4 = 90
(Multiply by 4 on each side to get rid of it)

266+x=360
(subtract 266 from each side)

x = 94


aachen

Answer:

94

Step-by-step explanation:

Given: Alexis recieved an 85,89,92on three tests

To Find: Number of points she needs to score in order to have an average of atleast 90.

Solution:

Let the marks scored by Alexis in next test = \(\text{x}\)

Marks scored by Alexis in three test = \(85\)

                                                               \(89\)

                                                               \(92\)

Sum of marks scored by Alexis = \(85+89+92\)

                                                    =\(266\)        

Average of Alexis's marks after next test = \(\frac{\text{Sum of marks of all tests}}{4}\)

                                                                  =\(\frac{266+\text{x}}{4}\)

To have average of at least 90

                                               \(\frac{266+\text{x}}{4}\)≥90

                                               \(266+\text{x}\geq 360\)

                                               \(\text{x}\geq 94\)

Alexis needs to score atleast 94 to have an average of at least 90