Answer:
The regular price=$750
Step-by-step explanation:
Step 1
Let the regular price be x
regular price=x
Step 2
The expression for the price after the discount is;
price after discount=regular price-discount rate×regular price
where;
regular price=x
discount rate=25%
replacing;
price after discount=x-(25/100)×x=x-0.25 x=0.75 x
price after discount=0.75 x
Step 3
Get the expression for the final bill as shown;
final bill=price after discount-gift certificate
where;
final bill=$522.50
price after discount=0.75 x
gift certificate=$40
replacing;
522.50=0.75 x-40
0.75 x=522.50+40
0.75 x=562.50
x=562.5/0.75
x=750
The regular price=$750
let's firstly convert the mixed fractions to improper fractions and then add them up.
![\bf \stackrel{mixed}{36\frac{4}{9}}\implies \cfrac{36\cdot 9+4}{9}\implies \stackrel{improper}{\cfrac{329}{9}} \\\\\\ \stackrel{mixed}{10\frac{2}{9}}\implies \cfrac{10\cdot 9+2}{9}\implies \stackrel{improper}{\cfrac{92}{9}}~\hfill \stackrel{mixed}{18\frac{2}{9}}\implies \cfrac{18\cdot 9+2}{9}\implies \stackrel{improper}{\cfrac{164}{9}} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B36%5Cfrac%7B4%7D%7B9%7D%7D%5Cimplies%20%5Ccfrac%7B36%5Ccdot%209%2B4%7D%7B9%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B329%7D%7B9%7D%7D%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7Bmixed%7D%7B10%5Cfrac%7B2%7D%7B9%7D%7D%5Cimplies%20%5Ccfrac%7B10%5Ccdot%209%2B2%7D%7B9%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B92%7D%7B9%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B18%5Cfrac%7B2%7D%7B9%7D%7D%5Cimplies%20%5Ccfrac%7B18%5Ccdot%209%2B2%7D%7B9%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B164%7D%7B9%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
Answer:
hello : f(h(g(x)))= (4x - 9) + 4 /(4x - 9)
Step-by-step explanation:
calculate : h(g(x))
h(g(x)) = h(x - 2) = 4 (x -2) -1 = 4x - 8 -1
h(g(x)) = 4x - 9
calculate : f(h(g(x)))
f(h(g(x))) = f (4x - 9) = (4x - 9) + 4 /(4x - 9)
A product of two (or more) factor can be zero if and only if at least one of the factors is zero.
In other words, you cannot multiply two non-zero real numbers, and have zero as a result.
So, if we want the product of these two factors to be zero, at least one of them has to be zero.
The first factor is zero if
The second factor is zero if
9/200 For the fraction,
4.5% For the percent. Just move the decimal point to the right twice to find the percent. The link is for the calculator to find fractions to decimals fast.
https://www.calculatorsoup.com/calculators/math/decimal-to-fraction-calculator.php
