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vaieri [72.5K]
3 years ago
8

Unity makes $56 a week, plus 15 percent of the cost of meals that she serves. Use the equation, y = 0.15x + 56, to predict what

she makes in a week when she serves $435 worth of meals
Mathematics
1 answer:
seropon [69]3 years ago
3 0
X represents the cost of meals served in a week. The cost of meals or worth was $435, therefore, x = 435. 0.15 x 435= 65.25
Since she makes $56 along with 15% of meals served (which is $65.25), you add those together to get her final income the week she serves $435 worth of meals, so...
66.25+56=121.25
Unity makes $121.25 in a week that she serves $435 worth of meals.
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Write 3.6 in a word form
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Three and six tenths

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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
2 years ago
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Answer:

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Step-by-step explanation:

The area of a square is A=s^2, where s is the side length. So, in your problem, the area would be A=(x+1)^2. If x = 9, then the formula would be A = (9+1)^2 = 100.

6 0
2 years ago
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What is 5/9 in a decimals
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The answer would be, 0.55555555556

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