Step-by-step explanation:
1. 5,11,17,23,29,35
Common difference is 6
3. 8,21,34, 47,60
Common difference is 13
5. 5,10,15,20,25
Common difference is 5
Answer:
Step-by-step explanation:
The standard form formula for a circle equation is , where (h,k) represents the center of the circle, and r represents the radius.
r=10
(h,k)= (9,3)
I’m pretty sure it would be f(x)= -5/2x-8
You can honestly plug it into a graph yourself or you can get the formula and solve it like that. Unfortunately I do not have the formula on hand. Sorry
Solving a system of equations we can see that:
They need to use 80kg of the 60% chocolate and 20kg of the 40% chocolate.
<h3>
How to find how much of each candy needs to be used?</h3>
Let's define the variables:
- x = kilograms of the 40% chocolate.
- y = kilograms of the 60% chocolate.
They want to make 100kg, then:
x + y = 100
And the concentration must be of the 56%, then we can write:
x*0.4 + y*0.6 = (100)*0.56 = 56
Then we have a system of equations:
x + y = 100
x*0.4 + y*0.6 = 56
To solve this, we can isolate x on the first equation to get:
x = 100 - y
Now replace that in the other equation:
(100 - y)*0.4 + y*0.6 = 56
40 + y*0.2 = 56
y*0.2 = 16
y = 16/0.2 = 80
This means that they need to use 80kg of the 60% chocolate and the other 20kg of the 40% chocolate.
If you want to learn more about systems of equations:
brainly.com/question/13729904
#SPJ1
4 2/3 is equal to 4 8/12. 3 and 1/4 is equal to 3 3/12. 4 8/12- 3 3/12 = 1 5/12. 1 1/2 would be a better estimate.