<span>We have to calculate the circumference of a circle and to choose the correct answer. The circumference of a circle is given by a formula: C = 2 r Pie. In this case radius of the circle is : r = 2.2. Therefore C = 2 * 2.2 Pie = 4.4 Pie. Answer: The circumference of the circle is: D ) 4.4 Pie.</span>
Answer:
50
Step-by-step explanation:
If the first statement its true (At most 0 of the statements are true), there are not true statements in the paper. So, the first statement its false.
Now, if the first statement its false, this mean there must be at least 1 true statement in the paper.
Now, if the second statement its true ( at most 1 of the statements are true) this implies that the third statement its true (if "at most 1" its true, then "as most 2" must be true).
If any statement (besides the first) its true, then all the statement that follows it must be true.
The first non false statement, then, must be the statement made by the person 51: "At most 50 statements are true"
And the 49 statements that follows are true as well.
Answer:
<h2>x = 2 </h2><h2>y = - 3</h2><h2>z = - 2</h2>
Step-by-step explanation:
6y - 5z = -8 .......... Equation 1
3z = -6 ................... Equation 2
4x - 3y - 2z= 21...... Equation 3
<u>First solve for z in Equation 2</u>
That's
3z = - 6
Divide both sides by 3
<h3>z = - 2</h3>
Next substitute the value of z into Equation 1 in order to find y
We have
6y - 5(-2) = - 8
6y + 10 = - 8
6y = - 8 - 10
6y = - 18
Divide both sides by 6
<h3>y = - 3</h3>
Finally substitute the values of y and z into Equation 3 to find the value of x
That's
4x - 3(-3) - 2(-2) = 21
4x + 9 + 4 = 21
4x + 13 = 21
4x = 21 - 13
4x = 8
Divide both sides by 4
<h3>x = 2</h3>
So the solutions are
<h3>x = 2 </h3><h3>y = - 3</h3><h3>z = - 2</h3>
Hope this helps you
Answer:
$105.20
Step-by-step explanation:
Given that :
Cost of materials = $62.30
Cost of booth = $25 / month
Price per bracelet = $5.50
Profit of 35 bracelet is sold next month =?
Profit = Revenue - Expenses
Revenue = $5.50 * 35 = $192.50
Expenses = $25 + $62.30 = $87.30
Profit = $192.50 - $87.30
= $105.20
