Answer:
Step-by-step explanation:
7 + 100 + 1 + 3 + 7 + 10 + 15 + 12 + 17 + 38
----------------------------------------------------------
10
= 210
---- = 21
10
the multiplication of fractions is very straightforward, numerators across and denominators across, now, let's firstly convert the mixed fraction to improper fraction.
![\bf \stackrel{mixed}{2\frac{2}{5}}\implies \cfrac{2\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{12}{5}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{12}{5}\cdot \cfrac{5}{7}\implies \cfrac{12}{7}\cdot \cfrac{5}{5}\implies \cfrac{12}{7}\cdot 1\implies \cfrac{12}{7}\implies 1\frac{5}{7}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B2%7D%7B5%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%205%2B2%7D%7B5%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B12%7D%7B5%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B12%7D%7B5%7D%5Ccdot%20%5Ccfrac%7B5%7D%7B7%7D%5Cimplies%20%5Ccfrac%7B12%7D%7B7%7D%5Ccdot%20%5Ccfrac%7B5%7D%7B5%7D%5Cimplies%20%5Ccfrac%7B12%7D%7B7%7D%5Ccdot%201%5Cimplies%20%5Ccfrac%7B12%7D%7B7%7D%5Cimplies%201%5Cfrac%7B5%7D%7B7%7D)
Answer:
-2, -1, 0, 1, 2
Step-by-step explanation:
Answer:
3 student.
Step-by-step explanation:
From the first statement:
Let the total score be T
Let the total number of student be x
The average of the score = 72
Average = Tota score / number of student
72 = T/x
Cross multiply
T = 72x ..... (1)
Second statement:
One more student took the test and the average becomes 76 with the student having a score of 88.
Therefore,
Overall score = T + 88
Total student = x + 1
Average = 76
Average = overall score / total number of student
76 = (T + 88) /(x + 1)
Cross multiply
76(x + 1) = T + 88
Clear bracket
76x + 76 = T + 88
From equation 1
T = 72x
76x + 76 = 72x + 88
Collect like terms
76x – 72x = 88 – 76
4x = 12
Divide both side by the coefficient of x i.e 4
x = 12/4
x = 3
Therefore, the initial number of the student were 3.
Answer:
60
Step-by-step explanation:
Multiples of 20:
20, 40, <u>60</u>, 80, 100
Multiples of 30:
30, <u>60</u>, 90, 120
so the LCM(20, 30)=60
Hope this helps!! <3