Answer:
Age of teacher = 32 years
Step-by-step explanation:
Average age of 15 students = 16 years
Sum of age of 15 students = 16 * 15 = 240 years
Average of age 15 students and a teacher = 17 years
Sum of age 15 students and a teacher = 17 * 16 = 272 years
Age of teacher = 272 - 240 = 32 years
9514 1404 393
Answer:
3a by 4a
Step-by-step explanation:
For dimensions L and W, the area and perimeter are ...
A = LW = 12a^2
P = 2(L+W) = 14a
Using the second equation, we can find L:
L +W = 7a . . . . . divide by 2
L = 7a -W
Substituting into the area formula gives the quadratic ...
(7a -W)(W) = 12a^2
W^2 -7aW +12a^2 = 0 . . . . arrange in standard form
(W -3a)(W -4a) = 0 . . . . . . . factor (find factors of 12 that total 7)
Then we have the two solutions ...
W = 3a, L = 4a
W = 4a, L = 3a
The rectangle dimensions are 3a by 4a.
Answer:
y = 4x
Step-by-step explanation:
Since there are going to be four quizzes a month (x), we know that we will multiply the number of months (x) by the number of quizzes (4). However, because we don't know how many months there are, we can define the months as (x), and instead put the total (y) is equal to the number of quizzes per month (4), multiplied by the number of months (x). Out final result is
(y = 4x)
Hello :
<span>(x 4 +5x² - 36)(2x ²+ 9x - 5) = 0</span>
You have 20 candies together in abag 10 red 10 green tou mix them yp togethr in a bag how many candies do you have in the bag