24 dollars.
1/4 + 1/3 = 3/12 + 4/12 = 7/12
7/12 a + 8 = 22
7/12 a = 14
a = 14 x 12/7
a = 24 dollars
<span>alright it would have been easier if u took a pic but i think its a matching prob with choices A thro F:
Water boils at 212 degrees __________
A. Celsius Incorrect
Water boils at 100 degrees _________
B. Kelvin Incorrect
Water boils at 373 _______
C. Thermal Equilibrium Incorrect
Temperature at which all kinetic energy stops
D. Thermal Energy Incorrect
Reached when 2 objects have the same temperature
E. Absolute zero Incorrect
Sum of all kinetic energy and potential energy in an object's particles
F. Fahrenheit
So here are the correct matches:
</span>Water boils at 212 degrees __________F. Fahrenheit
Water boils at 100 degrees _________ A. Celsius
Water boils at 373 _______ B. Kelvin
Temperature at which all kinetic energy stops______E. Absolute zero
Reached when 2 objects have the same temperature ________C. Thermal Equilibrium
Sum of all kinetic energy and potential energy in an object's particles _____ D. Thermal Energy
F(x) = 3x + 11
Is the function used to show this.
when you know this, you are able to do the following:
f(10) = 30 + 11 = $41
That would be the allowance of the 10th week.
The question, however wants the total.
This again, can be done like this:
f(1) + f(2) + f(3) + f(4) + f(5) + f(6) + f(7) + f(8) + f(9) + f(10) = $275 :)
14 + 17 + 20 + 23 + 26 + 29 + 32 + 35 + 38 + 41 = $275
Sure there is a better formula, but i couldnt seem to make it, sorry.
HUGE UPDATE: The sum is $275 not 200..
Your original answer is correct.If you set up a ratio table, it works. For example:
So, they amount of money she's taxed on is $55. We get this by doing 175-20.
$55 is equal to 106% because 6% is tax
Now, you want to find just 100% which is the same as no tax. To get from 106 to 11, you divide by 1.06. So, you also divide 55 by 1.06 to get $51.89
She can't go over this because she won't have enough money.
So, the answer is x≤$51.89
Hope this helps!