<h2>HOW TO: SOLVE AN APPLICATION</h2>
Step 1. Identify what you are asked to find and choose a variable to represent it.
Step 2. Write a sentence that gives the information to find it.
Step 3. Translate the sentence into an equation.
Step 4. Solve the equation using good algebra techniques.
Step 5. Check the answer in the problem and make sure it makes sense.
Step 6. Write a complete sentence that answers the question.
Remember that whatever the application, once we write the sentence with the given information (Step 2), we can translate it to a percent equation and then solve it.
Do you pay a tax when you shop in your city or state? In many parts of the United States, sales tax is added to the purchase price of an item. See Figure 6.7. The sales tax is determined by computing a percent of the purchase price.
To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price. The result is the total cost—this is what the customer pays.
Answer:
There are 22 pounds of pecans in the mixture
Step-by-step explanation:
Let the number of pounds of pecans be p and the number of cashews be c
We have 88 pounds in total, mathematically, this means;
c + p = 88
Now, the 88 mixtures cost $1.4 per pounds. This means the total amount of the 88 would be 88 * 1.26= $110.88
The pecans are worth 0.84 per pound while the cashews are worth 1.4 per pound. If the total is at a cost of 110.88, this can be translated mathematically as:
0.84p + 1.4c = 110.88
We now have two different equations that we can solve simultaneously.
c + p = 88
0.84p + 1.4c = 110.88
From the first equation, we can say c = 88 - p
We can then substitute the into the second equation:
0.84p + 1.4(88 - p) = 110.88
0.84p + 123.2 - 1.4p = 110.88
-0.56p = 110.88 - 123.2
0.56p = 12.32
p = 12.32/0.56 = 22
Now, we know c = 88 - p = 88 - 22 = 66
Answer:
y = 2x
y = 3x - 3
Step-by-step explanation:
Hi,
<u>y = 2x</u>
<u>6 = 2(3)</u>
<u>6 = 6</u>
<u>That's a solution</u>
<u>y = 3x - 3</u>
<u>6 = 3(3) - 3</u>
<u>6 = 9 - 3</u>
<u>6 = 6</u>
<u>That's a solution</u>
Hope this helps :)
900x300=270,000 plus 2 would equal 270,002.4 devided by 3-2001 would equal 87,999.8
Greetings!
When reflecting a shape over the x-axis, you simply change the number to its opposite positive/negative equivalent.
This means that the new co-ordinates would be (-5,1) , (-5,4) and (-2,4).
Hope this helps!
