Answer:
203 Ibs of butter
Step-by-step explanation:
Answer:
b.) 18(m+2m)
d.) 18m+18(2m)
e.) 54m
Step-by-step explanation:
Given;
total number of Mr Moretti's students = 18
number of mechanical pencils for each student = m
total number of mechanical pencils for all the students = 18m
number of regular pencils for each student = 2m
total number of regular pencils for all the students = 18(2m)
The total number of pencils given to all the 18 students by Mr Moretti is given by;
T = Total mechanical pencils + total regular pencil
T = 18m + 18(2m)
T = 18(m + 2m)
T = 18(3m)
T = 54m
Therefore, based on the expressions above, the correct options include;
b.) 18(m+2m)
d.) 18m+18(2m)
e.) 54m
Step-by-step explanation:
the area of a triangle
baseline × height / 2
in our case
baseline × height / 2 = 60 in²
height = 6×baseline - 16
baseline × (6×baseline - 16) / 2 = 60
baseline × (3×baseline - 8) = 60
3×baseline² - 8×baseline = 60
baseline = x
3x² - 8x - 60 = 0
general solution to a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 3
b = -8
c = -60
x = (8 ± sqrt(64 - 4×3×-60))/(2×3) =
= (8 ± sqrt(64 + 720))/6 = (8 ± sqrt(784))/6 =
= (8 ± 28)/6
x1 = (8 + 28)/6 = 36/6 = 6
x2 = (8 - 28)/6 = -20/6 = -10/3
x2 as a negative number is not a valid solution for a length in a geometric shape.
so, x = 6 in is our solution for the baseline.
height = 6x - 16 = 6×6 - 16 = 36 - 16 = 20 in
base = 6 in
Answer:
x = 5
Step-by-step explanation:
18x-30-7x = 25
11x = 55
x = 55/11
x=5
