The distance from the outside edge of a circle to its centre is given by its radius. The circumference of a circle is given by 2πr, thus if we know that this is equal to 75 feet and using π = 3.14, we get:
75 = 2*3.14*r
r = 11.942
Thus r = 12 ft (to the nearest foot)
Let’s give these two numbers variables
Let ‘a’ be the larger number
Let ‘b’ be the smaller number
Now from the question we know:
a + b = 30 or a = 30 - b
2a - 3b = 5
Now, let’s plug the first equation into the second to find ‘b’:
2(30 - b) - 3b = 5
60 - 2b - 3b = 5
60 - 5b = 5
55 = 5b
b = 11
Now we solve for ‘a’:
a = 30 - b
a = 30 - 11
a = 19
Now the question asks for the positive difference between the two numbers, so:
a - b = ?
19 - 11 = 8
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Answer:
Here is your answer if thats is what you where asking for
Step-by-step explanation:
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The answer is $4.85;$81.85<span> which is B. </span>
Answer:
$ 3199.0
Step-by-step explanation:
Let the number of shares of ABC = x
and XYZ = y
writing each as a linear equation
32 x + 23 y = 10100 equation 1
1.2 x + 1.4 y = 540
1.4 y = 540 - 1.2 x
y = ( 540 - 1.2 x) / 1.4
substitute for y in equation 1
32 x + 23( 540 - 1.2 x) / 1.4 = 10100
32 x + 8871.43 - 19.71 x = 10100
collect the like terms
32 x - 19.71 x = 10100 - 8871.43
12.29 x = 1228.57
x = 1228.57 / 12.29 = 99.97
the amount of money to be invested in ABC shares = 99.97 × $ 32 = $ 3199.0