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ollegr [7]
4 years ago
7

your restaurant bill subtotal was $85. With a sales tax rate of 7.5%, and tip rate of 18%. How much was the tax and tip? please

explain
Mathematics
2 answers:
choli [55]4 years ago
7 0

adults 232

children 203

Arada [10]4 years ago
3 0

Bills is 85

tax is 7.5% or 0.075 as a decimal.  

so tax is 85 x 0.075 = 6.38

tip is 18% of 0.18 as a decimal

so tip is 85 x 0.18 = 15.3

to tip and tax is

6.38 + 15.3  = 21.68

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Expand (2 + a)9 using Pascal’s triangle.
Natalija [7]

Answer:

Step-by-step explanation:

The Pascal triangle is used to determine the coefficients of the terms when we expand the expression.

                                             1                                (A + B) ^ 0 = 1

                                         1       1                            (A +B ) ^ 1 = 1A + 1B

                                   1          2        1          (A+ B) ^ 2 = 1A^2 + 2 AB + 1B^2

By extending the triangle, you will get the 9th row, which is your expression, of the coefficients. that is

1          9       36    84    126    126    84    36    9    1

Now, fill in AB in the gaps.

1AB + 9 AB + 36AB + 84AB + 126AB + 126AB +84AB + 36AB + 9AB + 1AB

Next, you need to go from the left to fill out the exponent of A and it will go down from 9 (the exponent of the whole thing) . That is

1A^9B+9A^8B+36A^7B+84A^6B+126A^5B+126A^4B+84A^3B+36A^2B+9A^1B+1A^0B

Next will be the exponent of B. this time, you go from the right and do the same with A. You can go from the left also, but go up from 0 to 9 for the exponent of B

1A^9B^0+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+1A^0B^9

The last step is just to simplify the A^0=1 and B^0 =1 at the first and the last terms.

A^9+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+B^9

Hope you can learn the method

5 0
3 years ago
Can you please help me.<br><br><br> 6 = 4x + 9y<br><br> slove for y
kow [346]

Answer:

Step-by-step explanation:

↔Start of with your 'solution section' to make sure you have the right things↔

↔Solution 1 ➡ 4(x) + 9(y) = 16  

↔Solution 2 ➡ 6(x) - 9(y) = 8

-----------------------------------------------------------------

▪Looking for the value of the 'x'-intercept ⬇▪

◾4 (3) (y) / 2 + 4/ 3 + 9(y) = 16  

◾15(y) = 32 / 3  

◾ 45(y) = 32

▪x-intercept: 32

-----------------------------------------------------------------

◾Looking for value of the 'y'-intercept ◾

◾45(y) = 32   

◾y-intercept : 45

 ◾x = 3(y)/2+4/3 which is translated to this, am i correct? ➡ (y) = 32/45

-----------------------------------------------------------------

↪ Now, we have finally found both of their intercept ⬇

↪x-intercept: 12

↪y-intercept: 5

↪Or you can even say the intercepts in other words. Here's what I am talking about if in case you don't know what I am saying

↪x-intercept: 32✅

↪y-intercept✅

6 0
3 years ago
How does the mean absolute deviation (MAD) of the data in set 1 compare to the mean absolute deviation of the data in set 2?
denis-greek [22]

Answer:

the answer is C

Step-by-step explanation:

if you do 5+10+7+2 you get 24 divide by 4 you get 6 mean is 6 for set 1

Set 2 if you do 5+10+7+42 you get 64 divide by 4 and you get 16 16-10.5 you get so 5.5 set is less than set 2 there ya go dude

5 0
3 years ago
Read 2 more answers
If sin phi sin theta = 0.2 and sin phi cos theta = -0.3 and sin phi &gt; 0 what is theta ? Repeat for sin phi &lt; 0.
Rina8888 [55]

Answer:

θ = -33.69°

Step-by-step explanation:

For Φ>0 and Φ<0  (in general Φ≠nπ  where n is an integer), sin(Φ) ≠ 0

Dividing both equations:

\frac{sin(\phi) sin(\theta)}{sin(\phi)cos(\theta)} = tan(\theta) = 0.2/(-0.3)=-2/3\\

Therefore:

arctan(θ) = -2/3

  θ = -33.69°

The answer does not depend on the sign of Φ, in fact we just need that the sine does not become zero, which occurs when Φ is equal to an integer times π (radians) or 180 (degrees)

Have a nice day!

3 0
3 years ago
If z=2.5, x=102 and x=100, what is s?
Bad White [126]

I believe the problem ask for s which is the standard deviation. We must recall that the formula for z statistic is stated as:

z = (x – x over bar) / s

Where,

z = z statistic = 2.5

x = sample value or sample score = 102

x over bar = the sample mean or sample average  = 100

s = standard deviation = unknown

Rewriting the equation in terms of s:

s = (x – x over bar) / z

Substituting the given values into the equation:

s = (102 – 100) / 2.5

s = 0.8  

Therefore the standard deviation s is 0.8

7 0
3 years ago
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