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Ket [755]
3 years ago
9

If you drive 60 miles and have 15 gallons of gas remaining in your tank. Then u continue driving and calculate that after drivin

g 268 miles you have 7 gallons left what is your rate ?
Mathematics
1 answer:
Aleksandr [31]3 years ago
3 0

Answer:

26.

But the proportion seems wrong.

Step-by-step explanation:

If you put this as two ordered pairs and solve for the slope, you will get your rate. Let the slope = m

(15,60) and (7,268)

m = (268 - 60) / (15 - 7)

m = 208/8

m = 26

According to this, you are going 26 miles per every gallon used.

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What is the coefficient of the x^5y^5- term in the biomial expansion of (2x-3y)^10
jasenka [17]

<u>Answer:</u>

 The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

<u>Solution: </u>

The given expression is (2 x-3 y)^{10}

As per binomial theorem, we know,

(x+y)^{n}=\sum n C_{k} x^{n-k} y^{k}

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10

Now x^{5}\times y^5 will be the 6 term where k =5

Now, \mathrm{T}_{6}=10 \mathrm{C}_{5} \times(2 \mathrm{x})^{(10-5)} \times(-3 \mathrm{y})^{5}=10 \mathrm{C}_{5} 2^{5} \times \mathrm{x}^{5} \times(-3)^{5} \times \mathrm{y}^{5}

So, the coefficient of x^{5} \times y^{5} \text { is }=10\left(5 \times 2^{5} \times(-3)^{5}\right.

10 \mathrm{C}_{5}=\frac{10 !}{5 ! \times(10-5) !}=\frac{10 !}{5 !+5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 !}{5 ! \times 5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6}{5 \times 4 \times 3 \times 2 \times 1}=\left(\frac{30240}{120}\right)=252

The coefficient of x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552

6 0
3 years ago
The table shows the relationship between a, the area of a rectangle, and h, its height, when the base remains constant.
olganol [36]

Answer:

a = 4h.

Step-by-step explanation:

Area (a) = base (b) * height (h).

When h = 2, a = 8:

a =  bh

6 = 2b

b = 4

The result 4 is the same for  h = 5, 7 and 12.

So the required equation is

a = 4h.

4 0
3 years ago
Help!!!!!!!!!!!!!!!!!!!
Vika [28.1K]

Answer:

base

median

hypotenuse answer of no. a b and c

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3 years ago
Find the value of a/b when a = 2/3 and b= 7/9
Usimov [2.4K]

Answer:

6/7

Step-by-step explanation:

2/3X9/7

simplify 9 by 3

which equals:

2/1X3/7

=6/7

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3 years ago
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Answer:

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