Answer:
x = 75
Step-by-step explanation:
Given information from the question:
x - 3y = 30
y = 15
We can substitute y = 15 into the equation to find x.
x - 3(15) = 30
x - 45 = 30
x - 45 + 45 = 30 + 45
x = 75
Answer:
Kevin needs 96 points on his last test to raise his mean test score to 90 points.
Step-by-step explanation:
we know that
The mean score is the total of all scores divided by the total number of tests.
Let
x_1 ----> the score in the first math test
x_2 ----> the score in the second math test
x_3 ----> the score in the third math test
x_4 ----> the score in the fourth math test
we have
After taking the first 3 tests, his mean test score is 88 points
so

----> equation A
How many points does he need on his last test to raise his mean test score to 90 points?
so

----> equation B
substitute equation A in equation B

solve for x_4


Therefore
Kevin needs 96 points on his last test to raise his mean test score to 90 points.
Instead of simply speaking navajo what did the code talkers create
Let x be the first integer, then
:
x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) = 519
:
6x + 15 = 519
:
6x = 504
:
x = 84
:
*****************************
Our sequence is
:
84, 85, 86, 87, 88, 89
:
The third integer is 86