First off you need to know how many yards of ribbon Alice has. Then multiply that by 2 because you need twice as much.
I didn't quite understand what you needed help with but hopfuly I answerd your question. Sorry if i didnt!
<span>Ok, so we need to find the unit rate of 15 degrees in
2 hours.
this is a very simple question, it says here that in 2 hours, there are 15
degrees.
Thus we need to find the unit rate of
this given situation per hours.
=> hour many hours are there? The answer
is 2
so let us divide 2 by 15 to get the unit rate of the given situation
=> 15 degrees / 2 hours
=> 7.5 degrees / hours
Thus, the unit rate of 15 degrees per 2 hours is 7.5 degrees per hour.</span>
Answer:
B
Step-by-step explanation:
![[(8+15) \times 3] \div 3\\= \frac{(8+15) \times 3}{3}\\= \frac{8 + 15}{1}\\= 8 + 15 = 23](https://tex.z-dn.net/?f=%5B%288%2B15%29%20%5Ctimes%203%5D%20%5Cdiv%203%5C%5C%3D%20%5Cfrac%7B%288%2B15%29%20%5Ctimes%203%7D%7B3%7D%5C%5C%3D%20%5Cfrac%7B8%20%2B%2015%7D%7B1%7D%5C%5C%3D%208%20%2B%2015%20%3D%2023)
We want to see how much pure water and 80% salt solution should be mixed to get 20 ounces of a 50% salt solution, we will solve this by using a system of equations. We will see that we need to use <u>7.5 ounces of pure water</u> and <u>12.5 ounces of the 80% salt solution.</u>
<h3>
How to get the system of equations?</h3>
We should start by defining the variables we will be using, these are:
- x = ounces of pure water used
- y = ounces of the 80% solution used.
We know that we want to end with 20 ounces of the mixture, then we have:
x + y = 20
We also know that the percentage of salt in the final mixture must be 50%, which means that a 0.5 of the final mixture is salt, then we have:
0*x + 0.8*y = 0.5*20
(the first 0 is because we have no salt in the pure water, and the 0.8 is because we have 80% of salt in the 80% mixture)
So we got the two equations needed, thus the system of equations is:
x + y = 20
0*x + 0.8*y = 0.5*20
With the second one we can get the value of y:
0*x + 0.8*y = 0.5*20
0.8*y = 0.5*20 = 10
y = 10/0.8 = 12.5
This means that we must use 12.5 ounces of the 80% solution, and we need to use:
x = 20 - y = 20 - 12.5 = 7.5
7.5 ounces of pure water.
If you want to learn more about systems of equations, you can read:
brainly.com/question/13729904
Answer:
m∠FAD=48°
Step-by-step explanation:
we know that
The<u><em> Perpendicular Bisector Theorem</em></u> states that: A radius that bisect a chord is perpendicular to the chord
we have
FD=DE
The radius AC bisect the chord FE
so
AC is perpendicular to FE
The triangle FAD is a right triangle
m∠FAD+m∠AFD=90° ---> by complementary angles in a right triangle
we have
m∠AFD=42°
substitute
m∠FAD+42°=90°
m∠FAD=90°-42°
m∠FAD=48°
