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SIZIF [17.4K]
3 years ago
11

Ben left a 20% tip on his bill at a restaurant. The bill was $40

Mathematics
1 answer:
tigry1 [53]3 years ago
3 0

Answer:

Tip: $8

Total:$48

Step-by-step explanation:

Multiply 40 by 20% to find out how much money he gave for tip.

Add the amount of tip, 8, to $40 find out the total amount of money he spent.

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What are the solutionso of 8x^2 = 6 + 22x
liraira [26]
You can get all the terms on one side, and then solve for x by any means:
0 = -8x^2+22x+6

Factor out a -2:
0 = -2(4x^2-11x-3)

Factor this equation:
0 = 4x^2-11x-3

I will use the AC method. To use it, first multiply a and c (in ax^2 + bx +c):
4*-3 = -12

Now, look for two numbers that multiply to -12 and add to -11. Obviously these numbers are -12 and 1. (-12*1 = -12 and -12+1  = -11). Now, because of rules, you set it up in a Punnett square:

4x^2        -12x
x              -3

Now, we find common factors of the terms in rows:
     _x_______-3__
4x| 4x^2        -12x
1   | x              -3

So, you can use this to write an equivalent expression to the quadratic given:
(x-3)(4x+1)

Now, we known the factors are (solve for x): 3 and -1/4.
3 0
3 years ago
Read 2 more answers
An earthquake measuring 6.4 on the Richter scale struck Japan in July 2007, causing extensive damage. Earlier that year, a minor
a_sh-v [17]

Answer:

10

Step-by-step explanation

The earthquake  measures 6.4 on the Richter scale which struck Japan in Jullu 2007 and caused and extensive damage. Earlier that year, a minor earthquake measuring 3.1 in the Richter scale has stroked in parts of Pennsylvania.

Fomular:

The magnitude of an earthquake is M log(I/S)

where I donates the intensity of the earthquake and S be the intensity of the standard earthquake.

Calculation:

Consider that M1 be the magnitude Japanese earthquake and M2 be the magnitude of the Pennsylvania earthquake and L1 be the intensity of the Japanese earthquake and L2 the intensity of the Pennsylvania  earthquake.

Here the magnitude of the Japanese earthquake is M1 = 6.14 and the magnitude of the Pennsylvania is M2 = 3.1

By the use of magnitude of the earthquake fomular M = log I1/S, the intensity of the Japanese earthquake is calculated as follows .

M1 = log I1/S

I1/s = 10

3 0
3 years ago
Can anyone help with this pls
Law Incorporation [45]
The diamond is 1 the square is 6 and the triangle is 7
7 0
2 years ago
What percent of 18.75 is 27
julsineya [31]
27 is 144% of 18.75
mk, hope I helped
6 0
3 years ago
Read 2 more answers
6. (11.07 MC) It takes a total of 3 hours to wash every window on a building. There are 30 windows. How many minuten​
nevsk [136]
3 hours = 60 x 3 minutes = 180 mins.
Total windows = 30.
So, total time = 30 x 180
= 5400mins
= 90 hours
8 0
3 years ago
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