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katrin [286]
3 years ago
7

0m0 Hello and bye also good evening

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
5 0

Answer:

15/32

Step-by-step explanation:

5/8 ÷ 1 1/3

Change to an improper fraction

5/8 ÷ ( 3*1+1)/3

5/8 ÷ 4/3

Copy dot flip

5/8 * 3/4

15/32

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Good Day everyone! Kindly give me the formula for finding the original price, discount rate, discount and sale price.
netineya [11]

Explanation:

The relevant relationships are ...

  discount = (discount rate) × (original price)

  (sale price) = (original price) - discount

__

Putting these into one equation gives ...

  (sale price) = (original price) - (discount rate)×(original price)

Combining terms, yields ...

  (sale price) = (original price)×(1 -(discount rate))

This relation can be solved for either of the variables on the right:

  (original price) = (sale price)/(1 -(discount rate))

  (discount rate) = 1 -(sale price)/(original price)

or ...

  (discount rate) = discount/(original price)

Going back to the beginning, you have ...

  discount = (original price) -(sale price)

__

To solve for the missing amount, you can choose the formula for which you have the other amounts. Or, you can start with any of the relations that relate the amounts you have, fill in the given values, and solve for the unknown.

It's not rocket science. You see these calculations almost every time you go to the store.

_____

<em>Additional comments</em>

Here, we have assumed a positive value for discount rate and discount, and that the sale price is less than the original price. This is basically the set of relations that are seen by a retail <em>buyer</em>.

If you are the <em>seller</em>, the relations you typically see are ...

  (cost price) + (markup) = (selling price)

The markup can be expressed as a percentage of either the cost price or the selling price, or it may be based on some other relation (fixed business costs, for example).

And another one is ...

  (markup)/(cost price) = (profit ratio) . . . . often expressed as a percentage

Sometimes the profit is expressed as a fraction of the selling price (business revenue) instead of the cost price.

__

Taxes are added on in the same way that discounts are subtracted:

  (final selling price) = (selling price) + (tax rate)×(selling price)

or

  (final selling price) = (selling price)×(1 +(tax rate))

4 0
2 years ago
How much does one case cost
nadya68 [22]

So for this we will be using a system of equations, with one equation representing Shakira's sales and the other representing Jeff's sales. Our equations are such (Let x = oranges and y = grapefruit)

5x+8y=235\\ 3x+2y=85

For this, I will be using the elimination method. So firstly, multiply both sides of the second equation by -4: -12x-8y=-340

Next, add 5x+8y=235 and -12x-8y=-340 to get -7x = -105 . From here we can solve for x.

For this, just divide both sides by -7, and your answer is going to be x = 15.

Now that we know what x is, just substitute x for 15 in either equation to solve for y. For this I will be using the second equation.

3(15)+2y=85\\ 45+2y=85\\ 2y=40\\ y=20

Since we know that oranges cost $15 and grapefruit cost $20, just add them together to get your answer, which is $35.

7 0
3 years ago
A truck is bought at the price of $67,000. The price decreases at the rate of .30 every year (t). Which equation matches this ex
chubhunter [2.5K]

Data:

Initial price: $67.000

Price decrease: .30 each year t

The general form of a model of exponential decrease is:

f(t)=p_0(1-r)^t

Where P0 is the initial price, r is the rate of decrease and t the number of periods.

Then, for the given situation you get the next equation:

\begin{gathered} f(t)=67000(1-0.30)^t \\ f(t)=67000(.70)^t \end{gathered}Then, the answer is the option D.
8 0
1 year ago
Maria's book is longer than Brandon's. The difference in the two book lengths is 56
Bingel [31]

Answer:

Maria's book is 202 pages long, Brandon's book is 146 pages long

Step-by-step explanation:

We can set this up with 2 variables: lets say that Maria's book length is x and Brandon's is y.

We can see that Maria's book is 56 pages longer than Brandon's and can come up with an equation:

x=y+56

We also see that their booklengths add up to 348, and can get:

x+y=348

From here, we solve for x and y. We can use substitution to find y.

x+y=348

(y+56)+y=348

2y=292

y=146

Here we plug in for x:

x=y+56

x=(146)+56

x=202

Therefor we get that Maria's book is 202 pages long, Brandon's book is 146 pages long

7 0
2 years ago
If 2(x + 3) = x + 10, then x equals what
Rama09 [41]

Answer:

x=4

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You need to apply the Distributive property on the left member of the equation:

2(x + 3) = x + 10\\ 2x+6=x+10

2. Now, you must solve for x, as following:

2x-x=10-6\\ x=4


8 0
3 years ago
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