Answer:
36 cm
Step-by-step explanation:
arc length = r × θ
32π = r × 8/9π
r = 36
A. a = 12, b = any number other than 24
The correct answers are:
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[B]: " (3, -3) " ; AND:
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[C]: " (-2, -3) " .
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<u>
Note</u>: Any point with the "y-coordinate" of "-3" would also be on the line.
As such, the correct answers, are:
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[B]: " (3, -3) " ; AND:
______________________________________________________
[C]: " (-2, -3) " .
______________________________________________________
Let a be the amount needed of 70% pure antifreeze, and let b be the amount needed of 95% pure antifreeze.
0.7a + 0.95b = 180 * 0.9 .........(1)
a + b = 180 .............................(2)
b = 180 - a ..............................(3)
Plugging the expression for b in equation (3) into equation (1), we get:
0.7a + 0.95(180 - a) = 162 ......(4)
Solving equation (4) gives the value a = 36, and plugging this value for a into equation (2) we get b = 144.
Amounts needed are therefore 36 gallons of 70% pure antifreeze and 144 gallons of 95% pure antifreeze.
Answer:
Q1. 20x = 200. The value of x is 10
Q2. 7 - 3x = 1. The value of x is 2.
Step-by-step explanation:
In order to find an equation, you have to let the number be any variable, such as m or n or z. So I will let the number be <em>x variable</em>. Then the question says a number is multiplied by 20 is equals to 200 :
Let number = x,




Same for the next question. Given that a number multiplied by 3 :
Let number = x,

Then subtracted by 7 equals to 1 :




