Answer:
(2h-3k)(m-n)
Step-by-step explanation:
factor by grouping, you can group the first two terms and the last two terms:
2h(m-n) + (-3k)(m-n)
there will be one factor in common, use that factor in combination with the factors that are not duplicated:
(2h-3k)(m-n)
There should be a .94 increase making it be 141.94 at the end of the week.
Answer:
m∠5 = 67
m∠7 = 67
Step-by-step explanation:
m∠4 and m∠5 add up to 180 because they are same side interior angles.
180 - 113 = m∠5
m∠5 = 67
m∠5 = m∠7 because they are vertically opposite angles
hence, m∠7 = 67 degrees
Answer:
32 5/8 (or 32 and 5/8)
Step-by-step explanation:
Okay, so this problem is asking for us to solve this problem with the substitution of a variable: x = -4. Before we fully solve this problem, we need to replace all of those x variables with -4 so that it is easier to solve.
-7 1/4(-4) + 3 5/8.
To make this problem even easier to solve, let's turn these mixed numbers into improper fractions. To do this, multiply the denominator by the whole number. Then add the numerator to this number. The new number that you just got is now your new numerator for this number.
-29/4(-4) + 3 5/8.
Repeat the last step to turn the other mixed number into an improper fraction.
-29/4(-4) + 29/8.
Now let's multiply that -4 by 29/4. Because a whole number technically has a denominator of 1, we can now set up the next part of our problem. (The symbol * means multiplication since we can't use x since it is already being used as a variable in this equation.)
(-29/4 * -4/1) + 29/8.
29 + 29/8.
Now to solve the rest of this problem, let's convert the whole number of 29 so that it has a denominator of 8. This is that these two numbers are addable.
<u>29</u> x <u>8</u> = <u>232</u>
1 x 8 = 8
Now these numbers are addable. So:
232/8 + 29/8 = 261/8 = 32 5/8.
I hope that this helps.
Answer:
The total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963<em>x</em>.
Step-by-step explanation:
Key points:
- Discount is subtracted from the regular price of an item.
- Sales tax is added to the regular price of an item.
It is provided that the customers receive a 10% discount if they are members and all customers must pay 7% in sales tax.
Two functions are provided are:
f (x) = 0.90<em>x </em>; the price of an item after the 10% member discount
g (x) = 1.07<em>x </em>; the total amount customers pay for a purchase after sales tax is applied.
Compute the total amount a member pays for an item with a regular price of x dollars as follows:
T (x) = Discount × Sales Tax
= 0.90 × 1.07 × <em>x</em>
= 0.963<em>x</em>.
Thus, the total amount a member pays for an item with a regular price of x dollars is T (x) = 0.963<em>x</em>.
