Answer: 80%
Step-by-step explanation:
To find the average, add all the grades and divide by the number of grades
sum of all grades/number of grades
85 + 100 + 88 + 80 + 95 + x/6
She wants to have an 88, so we can set the expression above equal to 88
448 + x/6= 88
Multiply by 6 on both sides
448 + x = 528
Subtract 448 on both sides
x=80
She needs to score at least an 80 to get an 88 average.
Hope this helped!
Answer:
36.50
Step-by-step explanation:
just add them all up
The sequence is an arithmetic sequence with
a₁ = -4
d = a₂ - a₁
d = -1 - (-4)
d = -1 + 4
d = 3
an = x
Sn = 437
General formula in arithmetic sequence
Formula to find nth term
an = a₁ + d(n - 1)
Formula to find sum of sequence (sn)
Sn = n/2 (a₁ + an)
We have to make an equation system based on the problem
plug the numbers into the formula
First equation
an = a₁ + d(n - 1)
x = -4 + 3(n - 1)
x = -4 + 3n - 3
x = 3n - 7
Second equation
Sn = n/2 (a₁ + an)
n/2 (a₁ + an) = 437
n/2 (-4 + x) = 437
n(x - 4) = 874
xn - 4n = 874
Solve the equation system by subtitution method
Subtitute x with 3n - 7 in the second equation
xn - 4n = 874
(3n - 7)n - 4n = 874
3n² - 7n - 4n = 874
3n² - 11n - 874 = 0
(3n + 46)(n - 19) = 0
n = -46/3 or n = 19
Because the number of terms shouldn't be negative, -46/3 isn't required, so the value of n is 19.
Solve for x, back to the first equatin
x = 3n - 7
x = 3(19) - 7
x = 57 - 7
x = 50
The solution is 50
Answer:
there is no table below, you have to add a picture
Step-by-step explanation:
30 over 4 = 15·2 over 2·2 = 15 over 2 = 1 + 7·2 over 2 = 7 1 over 2
Whole number =7
Fraction = 1 over 2
Hope this helps
