Answer:
(
, 
Step-by-step explanation:
Given the 2 equations
- 2x = 16 - 8y → (1)
x + 4y = 25 → (2)
Rearrange (2) expressing x in terms of y by subtracting 4y from both sides
x = 25 - 4y → (3)
Substitute x = 25 - 4y into (1)
- 2 (25 - 4y) = 16 - 8y ← distribute left side
- 50 + 8y = 16 - 8y ( add 8y to both sides )
- 50 + 16y = 16 ( add 50 to both sides )
16y = 66 ( divide both sides by 16 )
y = 
=
Substitute this value into (3) for corresponding value of x
x = 25 - 4 × )
= 
- 
=
Solution is ( , )
Answer:
x ≥ 4 AND x + y ≤ 10
Step-by-step explanation:
If you need up to 10 volunteers, then you can take 10 or less. If we add y and x, we'll get the total amount of people, therefore making the inequality:
x + y ≤ 10.
Now, he needs no fewer than 4 females, so he can take 4 or greater. This means that x should be greater than or equal to 4.
x ≥ 4.
Nothing was mentioned about how many males he needed (y) so these two inequalities match the situation.
Hope this helped!
Answer:
2.90m
Step-by-step explanation:
I hope this is the answer.
Answer:
(a) 1
(b) 1
(c) 3.03
Step-by-step explanation:
The given quadratic equation is
Subtract 27 from both sides.
Taking out common factor.
Divide both sides by 4.
If an expression is , then we need to add , to make it perfect square.
Here, b=2, so
Add 1 on both sides.
Taking square root on both sides.
Subtract 1 from both sides.
and
and
Only one solution is positive.
Greatest solution is 3.031, therefore the approximate value of this solution is 3.03.
Circumference; C = π2r
Diameter; D = 2r
So then ...
C = πD
7.38 = πD
7.38 / π = D
2.35 cm = D
