Answer:
The equation of the line in slope-int form is y=2x+5
Answer:
He needs 3.75 lbs of sugar and 1.25 lbs of water.
Step-by-step explanation:
Let x lbs be the amount of sugar in the syrup. Then 5-x lbs is the amount of water in this syrup.
Note
5 lbs - 100%
x lbs - 75%
Write a proportion:

Cross multiply:

So, he needs 3.75 lbs of sugar and 5 - 3.75 = 1.25 lbs of water.
<span>12y+15y^2=</span>4*3y+5*3y²=3y(4+5y)
Answer:
Noah should buy a ladder of length greater than <u>28.1 ft</u> to reach at least 22 feet height.
Step-by-step explanation:
Given:
Noah has to reach at least 22 ft height.
Angle made by the base of ladder with the ground = 51.5°
To find the length of the ladder.
Solution:
On drawing the situation, we get a right triangle. The hypotenuse of the triangle represents the length of the ladder.
In triangle ABC.
∠C = 51.5°
AB = 22 ft
Applying trigonometric ratio to find AC (length of the ladder).


Plugging in values.

Multiplying AC both sides.


Dividing both sides by 



Thus, Noah should buy a ladder of length greater than 28.1 ft to reach at least 22 feet height.