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pentagon [3]
3 years ago
8

You leave a 20% tip on your $70 dinner bill. How much was the tip

Mathematics
1 answer:
jonny [76]3 years ago
5 0

\frac{20}{100}  \times70 =  \frac{1}{5}   \times 70 \\ = 14
hey hope this helps
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A manufacturing operations consists of 12 operations. However, five of the 12 machining operations must be completed before any
shutvik [7]

Answer:

604800 possibilities

Step-by-step explanation:

There are two sets.

The first set is for the first five machining operations. This set has the following operations: A,B,C,D,E

The first operation to be made can be any of them(A,B,C,D,E). The second will be any of the four remaining ones, the third will be any of the three remaining and so on...

So for the first set there are 5*4*3*2*1 = 5! = 120 possibilities.

Now for the second set, the same logic is applied.

There will be 7*6*5*4*3*2*1 = 7! = 5040 possibilities.

Now taking into account all the 12 operations, separated by set, there will be 120*5040 = 604800 possibilities.

You can understand this calculus as that for a simple possibility of the first set, there are 5040 possibilities of the second set. The are 120 possiblities in the first set, so we have the multiplication in the paragraph above.

4 0
3 years ago
An item is on sale for $56. If this price represents a 25% discount from the original price, what is the original price?
blondinia [14]

9514 1404 393

Answer:

  $74.67

Step-by-step explanation:

Let p represent the original price. Then the relation is ...

  $56 = p - 0.25×p

  $56 = 0.75p

  $56/0.75 = p ≈ $74.67

The original price was $74.67.

5 0
2 years ago
X^2 + y^2 = 25 <br> x^2 + y^2 = 19
olga55 [171]
What do you need help on.
7 0
3 years ago
Simplify the expression ​
finlep [7]

Answer:

\frac{2*x - 2}{2*x}  - \frac{3*x + 2}{4*x} = \frac{x - 6}{4*x}

Step-by-step explanation:

We have the expression:

\frac{2*x - 2}{2*x}  - \frac{3*x + 2}{4*x}

The first thing we want to do, is to have the same denominator in both equations, then we need to multiply the first term by (2/2), so the denominator becomes 4*x

We will get:

(\frac{2}{2} )\frac{2*x - 2}{2*x}  - \frac{3*x + 2}{4*x} = \frac{4*x - 4}{4*x}  - \frac{3*x + 2}{4*x}

Now we can directly add the terms to get:

\frac{4*x - 4}{4*x}  - \frac{3*x + 2}{4*x} = \frac{4*x - 4 - 3*x - 2}{4*x}  = \frac{x - 6}{4*x}

We can't simplify this anymore

3 0
3 years ago
In the figure to the right, ABCD is a rectangle. Find the area of △ABC, if the area of △AOD is 10.
ehidna [41]
Assuming BOD and AOC are straight lines.

Area of the rectangle = 4 x ΔAOD
Area of the rectangle = 4 x 10
Area of the rectangle = 40 unit²

Area of ΔABC = 1/2 x 40 
Area of ΔABC = 20 unit²
5 0
3 years ago
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