Answer:
c = 10
Step-by-step explanation:
Using Pythagoras' theorem
The square on the hypotenuse of a right triangle is equal to the sum of the squares on the other 2 sides, that is
c² = a² + b² ← substitute values
c² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )
c = 
= 10
This one is worded oddly, but I think it's going to be:
(2x)/19
Answer:
what do you need help with?
Step-by-step explanation:
Answer:
y=3x+11
Step-by-step explanation:
We have to write the equation of line which is passing through the point (−2,5) and parallel to the line y=3x+1. Hence, equation of straight line in point slope form is (y−5)=3(x+2) and in slope-intercept form is y=3x+11
Answer: She should use 12 ounces of Sweet Rose Tulsi tea and 4 ounces of Orange blossom green tea.
Step-by-step explanation:
Let x represent the number of ounces of Sweet Rose Tulsi tea that she should use.
Let y represent the number of ounces of Orange blossom green tea that she should use.
She wants to blend 16 ounces of the tea blend. It means that
x + y = 16
x = 16 - y
Sweet rose tea sells for $4.98 an ounce and Orange Blossom sells for $1.98 an ounce. If the the tea blend is to sell for $4.23 per ounce, then the 16 ounces would be sold for 16 × 4.23 = 67.68
it means that
4.98x + 1.98y = 67.68- - - - - - - - - - -1
Substituting x = 16 - y into equation 1, it becomes
4.98(16 - y) + 1.98y = 67.68
79.68 - 4.98y + 1.98y = 67.68
- 4.98y + 1.98y = 67.68 - 79.68
- 3y = - 12
y = - 12/-3
y = 4
x = 16 - y = 16 - 4
x = 12
