<u>It's not clear what is the specific requirement of the question, but I'll assume a couple of situations to help you with your real problem.</u>
Answer:
$45 (qualified)
$30 (did not qualify)
Step-by-step explanation:
<u>Percentage Calculations</u>
Relative quantities are usually expressed as percentages (%). We say x percent of y is the proportion xy/100. When discounts or surcharges are applied, they are subtracted or added to the original quantity.
The question explains I receive a 10% discount off the original selling price if the total cost plus shipping is greater than $35. Let's assume the total cost plus shipping is $50. Since it's greater than $35, it qualifies for a discount. The discount is 10% of $50 = (10)(50)/100= $5. So the new total cost will be $50 - $5 = $45
Let's suppose now the total cost+shipping is $30. Since it's not greater than $35, no discount will be applied and we have to pay $30
To solve these problems, we must remember the distributive property. This property states that a coefficient being multiplied by a polynomial in parentheses is equal to the sum of the coefficient times each of the separate terms. Using this knowledge, let's begin with number 21:
-(4x + 17) + 3(7-x)
To begin, we should distribute the negative sign through the first set of parentheses and the coefficient of positive 3 through the second set of parentheses.
-4x - 17 + 21 - 3x
Next, we must combine like terms, or add/subtract the constants terms and the variable terms in order to create a more concise expression.
-7x + 4 (your answer)
Now, we can move on to question 22 and solve it in a similar manner:
7(2n-8) - 4(12 - 8n)
Again, we will distribute the coefficients through the parentheses. However, keep in mind that the coefficient in front of the second set of parentheses is actually a NEGATIVE 4, so we must distribute the negative as well.
14n - 56 - 48 + 32n
Next, we will combine like terms (add the n terms together and subtract the constant terms).
46n - 104
Now, we can solve problem 23:
8 + 2(5f - 3)
We will again distribute through the parentheses:
8 + 10f - 6
Combine like terms after that:
10f + 2
Therefore, your answers for the three problems are as follows:
21) -7x + 4
22) 46n - 104
23) 10f + 2
Hope this helps!
Answer:
Functions: y = -x + 11, y = 2x^2 - 6x + 4, y = 7
Not Functions: x = 3, x^2 + y^2 = 81, y^2 = -5x - 12
Answer:
Find something the parts of the equation (which are separated by a sign (+, -, x, or /)) and sort of un-distribute a common number out.
Step-by-step explanation:
Example: 5x + 10
Step One: Find what number they have in common. (5)
Step Two: Divide it from both parts of the equation and put it outside parentheses.
Step Three (result): 5(x+2)
Answer:
227.5 grams
Step-by-step explanation:
We know that a single 10p coin weights 6.5 g
Now we want to find the weight of a bag of 10p coins, such that the net value is £3.50 (where the weight of the bag is neglected)
The value of a 10p coin is £0.10
So the first thing we need to find, is how many coins there are in the bag.
To find that, we need to find the quotient between the total value and the value of a single coin:
£3.50/£0.10 = 35
So in the bag, we have 35 coins, and each one of them weighs 6.5 grams
Then the total weight is 35 times 6.5 grams:
35*6.5 g= 227.5 grams
