Circumference: 2 * pi * r
pi = 3.14, r = 4
2 * 3.14 * 4 = 25.12
Circumference: 25.12 cm
Area = pi * r^2
pi = 3.14, r = 4
3.14 * 4^2 = 50.24
Area: 50.24 cm^2
15x-10=20
+10 +10
15x=30
\15 /15
x=2
you add 10 to both -10 (they cancek eachother out) and 20 (equals 30)
Then you divide 30 by 15 (equals 2) and 15 by 15 (they cancel eachother out)
Then you get x=2
Answer:
78 pounds
Step-by-step explanation:
Let's say Yolanda makes a pounds of Type A coffee and b pounds of Type B coffee. Since the total number of pounds is 130, we can write the equation:
a + b = 130
We know the cost of Type A coffee is $5.20/lb and the cost of Type B coffee is $4.05/lb, so since the total cost is $586.30, we can write:
5.20a + 4.05b = 586.30
We can now solve the system of equations:
a + b = 130
5.20a + 4.05b = 586.30
Manipulate the first equation by subtracting b from both sides:
a + b = 130
a = 130 - b
Substitute 130 - b for a in the second equation:
5.20a + 4.05b = 586.30
5.20 * (130 - b) + 4.05b = 586.30
676 - 5.20b + 4.05b = 586.30
Move the terms with b to one side:
1.15b = 89.70
b = 78
Thus, Yolanda used 78 pounds of Type B coffee.
<em>~ an aesthetics lover</em>
Answer:
Step-by-step explanation:
Our function is : 3x²-3x-1
- 3x²-3x+2=2
- 3x²-3x-1+3=2
- 3x²-3x-1= -1
- the number that gives us -1 is 1 (from the graph)
so x is 1
- 3x²-3x-1= x+1 ⇒3x²-4x-2 = 0
- Δ(the dicriminant)= (-4)²-4*3*(-2)= 16+24 =40
- two solution x and y
- x= (4-√40)/6 and y= (4+√40)/6
- x= -0.38 and y = 1.7
- so the estimations are -0.38 and 1.7
Answer:
a)
$2.79 per pound.
$0.93 per apple.
b)
Unit price per pound is typically used because weight and size of every apple is not same.
Step-by-step explanation:
5 pound bag of organic apples = $13.95
1 pound bag of organic apples = $13.95/5
= $2.79
The unit price of apples that cost $13.95 for 5 pounds is $12.79 per pound.
<em>As a general rule, 1 pound of apples is equal to: 4 small apples. 3 medium apples. 2 large apples. So, here we assume that apples are of medium size.</em>
3 apples cost = $2.79
<em>The unit price means 'what is the cost of 1 apple'</em>
1 apple cost =$2.79/3
=$0.93
The unit price of apples that cost $2.79 for 3apples is $0.93 per apple.
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