Step-by-step explanation:
<u>Formula:</u>

r represents the radius.
The radius is 1/2 of the diameter.
Since 1/2 of 16 is 8, 8 is our radius.
<u>Substitute:</u>

<u>Solve:</u>


Brad have 19 quarters and 27 nickels.
Step-by-step explanation:
Given,
Total worth of nickels and quarters = $6.10 = 6.10*100 = 610 cents
One quarter = 25 cents
One nickel = 5 cents
Let,
x represent the number of quarters.
y represent the number of nickels.
According to given statement;
25x+5y=610 Eqn 1
y = x+8 Eqn 2
Putting value of y from Eqn 1 in Eqn 2

Dividing both sides by 30

Putting x=19 in Eqn 2

Brad have 19 quarters and 27 nickels.
Keywords: linear equation, subtraction
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Answer:
Pierre has enough boards and nails to make 9 tables and 5 chairs.
Step-by-step explanation:
13T+8C ≤ 220
Let us substitute 9 for T and 5 for C and check.
13(9) + 8(5) = 117 + 40
= 157 < 220
So, 220 wooden boards are sufficient to make 9 tables and 5 chairs.
48T+37C ≤ 760
Substitute 9 for T and 5 for C.
48(9)+37(5) = 432 + 185
= 617 < 760
So, 760 nails are sufficient to make 9 tables and 5 chairs.
Hence, Pierre has enough boards and nails to make 9 tables and 5 chairs.
Answer:
2. B) The events have a strong positive linear correlation.
1. C) Find the slope using the slope formula:

Step-by-step explanation:
2. The correlation coefficient is 0,02, which is positive, so this would be the obvious choice.
1. You CANNOT write a linear equation without FIRST finding the rate of change [slope]. You will ALWAYS need the rate of change in order to write any linear equation.
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18 The 2 trapezia formed by midpoint are similar so we can write
19/24 = x / 19
x = 19^2 / 24 = 15.04
19. 360 degrees . This is true for all polygons