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e-lub [12.9K]
1 year ago
14

A truck travels 52 1/2 miles and uses 2 1/2 gallons of gasoline. What is the fuel rate in miles per gallon?

Mathematics
1 answer:
kumpel [21]1 year ago
3 0

Answer:

131 1/2 miles per gallon

Step-by-step explanation:

52 1/2 × 2 1/2 = 131 1/2

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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
Six more than five times a number x is at least twenty one
LUCKY_DIMON [66]
5x3=15. 15+6=21. The answer would be 3
8 0
3 years ago
Suppose that F(x) = x3 and G(x) = -4x3-5. Which statement best compares the graph of G(x) with the graph of F(x)?
lara31 [8.8K]

Answer:

Answer is B

Step-by-step explanation:

F(x) is first stretched by factor 4 from '4x³';

It is then reflected in the x-axis, since it is '-4x³';

Lastly, it is shifted down 5 units, because of the '-5'.

5 0
3 years ago
Please Help.....................................................
cluponka [151]
68% due to more 1,2, and 3's
7 0
3 years ago
In 1 through 4,use the standard algorithm to find the products.
Gennadij [26K]
I will help you if you show me what questions 1,2,3,4 are. 

6 0
3 years ago
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