Put the problem into a proportion to make it easier to solve.
32 x
=
16 100
You can use cross products to simplify this proportion. Multiply 32 by 100, and set that number equal to 16 *x.
Your equation should now look like this
3200=16x
You are trying to get the variable alone on one side, so you should divide both sides by 16.
If this is performed correctly, then your final answer should be
x=200.
It will take you 200 minutes (3 hours 20 mins) to read the pages that you promised Ms. Williams
Answer:
Equation: 2x + 1 = 9x - 13
There are two chairs in each row.
Step-by-step explanation:
Looking at the problem, we see that Hue can form two rows of chairs with 1 left over, or 9 rows if she gets 13 more. With that information we can create the equation 2x + 1 = 9x - 13. Now let's solve for x.
2x + 1 = 9x - 13
<em>What we can do first is subtract 9x from both sides. This is done so all of the variables are on one side. Thus that becomes...</em>
2x + 1 - 9x = -13
<em>Now, combine -9x and 2x to get -7x.</em>
-7x + 1 = -13
<em>Now subtract 1 from both sides. This is done so we solve for x directly.</em>
-7x = -13 - 1
<em>Subtract -1 from -13 to get -14.</em>
-7x = -14
<em>Now divide both sides by -7.</em>
x = -14/-7
<em>Divide -14 by -7 to get 2. Remember, dividing two negatives gives you a positive!</em>
x = 2
With that, the equation is solved. There are 2 chairs in each row.
Answer:
![\frac{6020}{430000}{=\frac{tax}{500000}](https://tex.z-dn.net/?f=%5Cfrac%7B6020%7D%7B430000%7D%7B%3D%5Cfrac%7Btax%7D%7B500000%7D)
![tax = 7000](https://tex.z-dn.net/?f=tax%20%3D%207000)
Step-by-step explanation:
1. Approach
To solve this problem, one needs to form a proportion. Since it is given that the tax rate is the same, one can say that the amount collected in tax, over the price of the property equals, is equal to the unknown tax amount over the price of the property. Then one can solve this proportion with cross products.
2. Solving
Since the tax rate is the same, one can say that the tax paid over the property price for the given information, is equal to the unknown tax paid over the other property price. Hence one can set up the proportion and solve;
![\frac{tax_. paid}{price}=\frac{unknwon_. tax}{price}](https://tex.z-dn.net/?f=%5Cfrac%7Btax_.%20paid%7D%7Bprice%7D%3D%5Cfrac%7Bunknwon_.%20tax%7D%7Bprice%7D)
Substitute,
![\frac{6020}{430000}{=\frac{tax}{500000}](https://tex.z-dn.net/?f=%5Cfrac%7B6020%7D%7B430000%7D%7B%3D%5Cfrac%7Btax%7D%7B500000%7D)
Simplify,
![\frac{301}{21500}=\frac{tax}{50000}](https://tex.z-dn.net/?f=%5Cfrac%7B301%7D%7B21500%7D%3D%5Cfrac%7Btax%7D%7B50000%7D)
Cross products,
![150500000 = 21500tax](https://tex.z-dn.net/?f=150500000%20%3D%20%2021500tax)
Inverse operations,
![150500000=21500tax\\/21500\\\\tax = 7000](https://tex.z-dn.net/?f=150500000%3D21500tax%5C%5C%2F21500%5C%5C%5C%5Ctax%20%3D%207000)
Answer:
11/12
Step-by-step explanation:
1/4 + 2/3
= 3/12 + 8/12
= 11/12
D, Lorraine owes more than $200, since the sentence says she is more than -$200 with the bank.