Answer:
Ali served 16 orders, Deon served 64 orders, Heather served 26 orders.
Step-by-step explanation:
Let order served by
Heather be h
Deon be d
Ali be a
We can write 3 equations from the word problem:
h + d + a = 106
d = 4a
h = 10 + a
We put 2nd and 3rd equation in first and solve for a:
h + d + a = 106
10 + a + 4a + a = 106
6a = 96
a = 16
Now,
d = 4a = 4(16) = 64
and
h = 10 + a = 10 + 16 = 26
Ali served 16 orders, Deon served 64 orders, Heather served 26 orders.
Assuming you mean
(x-2)²=49
sqare root both sides and take positive and negative roots
x-2=+/-7
add 2 to both sides
x=2+/-7
x=2+7 and 2-7
x=9 and -5
Answer:
m C and m D are a linear pair // Definition of supplementary angles
m C + m D =180 // Definition of a linear pair
Step-by-step explanation:
This is a mixture problem.
Let the 9 karat gold to be mixed be x. The 18 karat would weight (200 - x). Since the total = 200g.
mass1 * karat1 + mass2*karat = total mass * total carat
Let mass1 be x g. mass 2 would be = (200 -x)
karat 1 = 9 karat 2 = 18
Total mass = 200g.
Total karat = 14.
9*x + 18*(200 -x) = 14*200
9x + 18*200 - 18*x = 14*200
18*200 + 9x - 18x = 14*200
3600 - 9x = 2800
3600 - 2800 = 9x
800 = 9x
9x = 800
x = 800/9
x ≈ 88.89
Therefore 88.89 grams of 9 karat gold must be mixed.
