Answer:
4z + 6z²
Step-by-step explanation:
(12z + 18z² ) ← multiply each term in the parenthesis by
= 4z + 6z²
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.
19. v/2 = 2 1/30
Turn mixed number(s) to improper fraction(s).
v/2 = 61/30
Multiply both sides by 10.
v/2 × 10 = 61/30 × 10
Simplify.
5v = 61/3
Divide both sides by 5.
5v ÷ 5 = 61/3 ÷ 5
Simplify.
v = 61/15
61/15 or if you want it as a mixed fraction, it would be 4 1/15.
Answer:
f(6)=50
Step-by-step explanation:
f(6)=8(6)+2
f(6)=48+2
f(6)=50
Line CA is a straight line, meaning it adds up to 180°
Line BE splits the line into two supplementary angles, because when the two angles are added together they will equal 180°
Using the rule of supplementary angles, we can then make the equation 3x + 8x + 15 = 180
Now, simplify the equation by combining like terms
11x + 15 = 180
To solve, isolate x
11x + 15 = 180
11x = 165
x = 15
