the diameter of a circle is multiplied by 10. how does the circumference change?
When the diameter is multiplied by 10, the radius of the circle is also multiplied by 10.
The circumference of a circle is calculated by the formula:
Circumference = 2 * π * radius
If the radius is multiplied by 10, then the circumference will also be multiplied by 10.
Therefore, when the diameter of a circle is multiplied by 10, the circumference of the circle will also be multiplied by 10.
Solve: -7y + 28 = 14
To solve the equation -7y + 28 = 14, we need to isolate the variable y.
First, we need to get y by itself on one side of the equation.
Subtract 28 from both sides of the equation:
-7y + 28 - 28 = 14 - 28
-7y = -14
Now, divide by -7 on both sides to isolate y:
-7y / -7 = -14 / -7
y = 2
Therefore, the solution to the equation is y = 2.
Simplify: (4 + ^11)^2
To simplify (4 + √11)^2, we first expand the expression using the formula (a + b)^2 = a^2 + 2ab + b^2, where a = 4 and b = √11:
(4 + √11)^2 = (4)^2 + 2(4)(√11) + (√11)^2
= 16 + 8√11 + 11
= 27 + 8√11
Therefore, the simplified form of (4 + √11)^2 is 27 + 8√11.
Jack and Jill went out to lunch. The bill came to $25.00 and they left a $5.00 tip . What percent of the total bil was the tip.
To calculate the percentage of the total bill that was the tip, we need to first calculate the total bill amount, including the tip.
Total bill amount = $25.00 (bill) + $5.00 (tip) = $30.00
Next, we need to calculate the percentage of the tip to the total bill amount:
Percentage tip = (Tip amount / Total bill amount) * 100
= ($5.00 / $30.00) * 100
= 0.1667 * 100
= 16.67%
Therefore, the tip was 16.67% of the total bill amount.
the answer is either
20%
5%
50%
or 0.2%
To calculate the percentage of the total bill that was the tip, we need to first calculate the total bill amount, including the tip.
Total bill amount = $25.00 (bill) + $5.00 (tip) = $30.00
Next, we need to calculate the percentage of the tip to the total bill amount:
Percentage tip = (Tip amount / Total bill amount) * 100
= ($5.00 / $30.00) * 100
= 0.1667 * 100
= 16.67%
Therefore, the tip was 16.67% of the total bill amount. The closest option in the list provided is 20%, which is not the exact value but the closest approximation.