Answer:
the length is (1,3
Step-by-step explanation:
the length is 3,1
Answer:
2x-y=7
Step-by-step explanation:
y-5=2(x-6)
y-5=2x-12
2x-y-12=-5
2x-y=-5+12
2x-y=7
Answer:
a) y = 1/2x + 5/2
y = 2/5x + 29/5
b) hair will be 19 inches for both at 33 months
Step-by-step explanation:
a) rate of growth of friend's hair: (3, 4) (8, 6.5)
(6.5 - 4) ÷ (8 - 3) = 2.5/5 or 1/2
find the y-intercept of equation for growth of friend's hair:
y = mx + b
4 = 1/2(3) + b
4 = 3/2 + b
8/2 - 3/2 = b
5/2 = b
equation for growth of friend's hair:
y = 1/2x + 5/2
rate of growth of cousin's hair: (3, 7) (8, 9)
(9 - 7) ÷ (8 - 3) = 2/5
find the y-intercept of equation for growth of cousin's hair:
y = mx + b
9 = 2/5(8) + b
9 = 16/5 + b
45/5 - 16/5 = b
29/5 = b
equation for growth of cousin's hair:
y = 2/5x + 29/5
b) y = 1/2x + 5/2
y = 2/5x + 29/5
1/2x + 5/2 = 2/5x + 29/5
5/10x + 25/10 = 4/10x + 58/10
1/10x = 33/10
10x = 3300
x = 33
There are a total of 6 groups.
And each group contains at least 4 students.
So the minimum number of students is:
minimum = 6 * 4 = 24 students
Let us say that x represents the number of students,
hence:
<span>x ≥ 24</span>
Answer: she baked 1225 muffins.
Step-by-step explanation:
Let x represent the number of muffins that she baked.
She gave 4/11 of the muffins to her friends. This means that the number of muffins that she gave to her friends is 4x/11. The number of muffins remaining is
x - 4x/7 = 3x/7
She gave 4/7 of the remainder to the guests at the event. This means that the number of muffins that she gave to the guests at the event is
4/7 × 3x/7 = 12x/49
The number of muffins remaining would be
3x/7 - 12x/49 = 9x/49
She had 225 muffins left. It means that
9x/49 = 225
9x = 225 × 49 = 11025
x = 11025/9
x = 1225
