Answer:
$12.31
Step-by-step explanation:
Think of the original rate of pay as being 100%.
If your rate is increasing by 7%, it will now be 107% of the original rate (since 100% + 7% = 107%)
To find 107% of $11.50, convert 107% into a decimal
⇒ 107% = 107/100 = 1.07
then multiply this by the original rate to get the new increased rate:
⇒ $11.50 × 1.07 = $12.305
Rounding this to the nearest hundred = $12.31
Alternatively, you can find 7% of $11.50 and then add this to $11.50.
⇒ 7% = 7/100 = 0.07
Therefore, 7% of $11.50 = 0.07 × $11.50 = $0.805
Add this to the original rate:
$11.50 + $0.805 = $12.305
Rounding this to the nearest hundred = $12.31
Place Vlaue For Decimals..... These terms are used from left to right, starting with the first numeral after the decimal point. For example, the number 0.1234 has a "1" in the tenths place, a "2" in the hundredths place, a "3" in the thousandths place, and a "4" in the ten thousandths place so on.
Answer:
y = 14°
Step-by-step explanation:
50° = 2x° (isosceles triangle theorem)
![{50}^{o} = {2x}^{o} \\ \frac{ {50}^{o} }{2} = x \\ {25}^{o} = x \\](https://tex.z-dn.net/?f=%20%7B50%7D%5E%7Bo%7D%20%20%3D%20%20%7B2x%7D%5E%7Bo%7D%20%20%5C%5C%20%20%5Cfrac%7B%20%7B50%7D%5E%7Bo%7D%20%7D%7B2%7D%20%20%3D%20x%20%5C%5C%20%20%7B25%7D%5E%7Bo%7D%20%20%3D%20x%20%5C%5C%20)
50° + 2x° + (5y + 10)° = 180° (The sum of the three angles of any triangle is equal to 180 degrees.)
![{50}^{o} + {2x}^{o} + {(5y + 10)}^{o} = {180}^{o} \\ {50}^{o} + {2(25)}^{o} + 5y + {10}^{o} = {180}^{o} \\ {50}^{o} + {50}^{o} + 5y + {10}^{o} = {180}^{o} \\ {110}^{o} + 5y = {180}^{o} \\ 5y = {180}^{o} - {110}^{o} \\ 5y = {70}^{o} \\ y = \frac{ {70}^{o} }{5} \\ y = {14}^{o} \\](https://tex.z-dn.net/?f=%20%7B50%7D%5E%7Bo%7D%20%20%2B%20%20%7B2x%7D%5E%7Bo%7D%20%20%2B%20%20%7B%285y%20%2B%2010%29%7D%5E%7Bo%7D%20%20%3D%20%20%7B180%7D%5E%7Bo%7D%20%20%5C%5C%20%20%7B50%7D%5E%7Bo%7D%20%20%2B%20%7B2%2825%29%7D%5E%7Bo%7D%20%20%2B%205y%20%2B%20%20%7B10%7D%5E%7Bo%7D%20%20%3D%20%20%7B180%7D%5E%7Bo%7D%20%20%5C%5C%20%20%7B50%7D%5E%7Bo%7D%20%20%2B%20%20%7B50%7D%5E%7Bo%7D%20%20%2B%205y%20%2B%20%20%7B10%7D%5E%7Bo%7D%20%20%3D%20%20%7B180%7D%5E%7Bo%7D%20%20%5C%5C%20%20%7B110%7D%5E%7Bo%7D%20%20%2B%205y%20%3D%20%20%7B180%7D%5E%7Bo%7D%20%20%5C%5C%205y%20%3D%20%20%7B180%7D%5E%7Bo%7D%20%20-%20%20%7B110%7D%5E%7Bo%7D%20%20%5C%5C%205y%20%3D%20%20%7B70%7D%5E%7Bo%7D%20%20%5C%5C%20y%20%3D%20%20%20%5Cfrac%7B%20%7B70%7D%5E%7Bo%7D%20%7D%7B5%7D%20%20%5C%5C%20y%20%3D%20%20%7B14%7D%5E%7Bo%7D%20%20%5C%5C%20)
Answer: ≈7.81
Step-by-step explanation:
=
≈7.81025
Step-by-step explanation:
First expression = 3y
second expression = 3 * 2 x
LCM = 3 * 2x * y = 6xy