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nekit [7.7K]
4 years ago
8

Which is an equation of a direct proportion?

Mathematics
1 answer:
nikdorinn [45]4 years ago
4 0

Answer:

Step-by-step explanation:

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Horace is riding his bike on a bike path. Horace's bike got a flat tire 3/4 of the way down the path and he had to stop. How far
mixas84 [53]

The distance travelled before developing a flat tire illustrates multiplication of fractions

Horace rode a distance of \frac {9}{16} mile before having a flat tire

From the complete question, the length of the path is given as

Length=\frac 34\ mile

The fraction of distance (d) traveled before having a flat tire is:

d=\frac 34

So, the distance (D) travelled is:

D=d \times Length

This gives

D= \frac 34 \times \frac 34\ mile

Rewrite as:

D= \frac {3 \times 3}{4 \times 4} mile

D= \frac {9}{16} mile

Hence, Horace rode a distance of \frac {9}{16} mile

Read more about multiplication of fractions at:

brainly.com/question/9281754

3 0
3 years ago
How do I find the unit rate?<br> $253 for 20 hours
DIA [1.3K]
Divide 253 by 20 to get the unit rate.
We get 12.65
So our unit rate is; $12.65 per hour
5 0
4 years ago
17. Irene's car had 6 gallons of gas in its 15-gallon tank. Irene wants to fill it at least half way. If gas costs $3.80 per gal
Digiron [165]

Answer:

$17.1 to fill it up half way

Step-by-step explanation:

7 0
3 years ago
In the expansion of ( x^3 - 2/x^2 ) ^10 , find the coefficient of 1/x^5​
Lilit [14]

Answer:

240

Step-by-step explanation:

We need to find the coeffeicent of the binomial expansion of

( {x}^{3}  - 2 {x}^{ - 2} ) {}^{10}

Note that

- 2 {x}^{ - 2}  = -  \frac{2}{ {x}^{2} }

The binomial theorem states that

(x + y) {}^{n}  = x {}^{n} y {}^{0}  +  \binom{n}{1} x {}^{n - 1} y +  \binom{n}{2} x {}^{n - 2} y {}^{2} ....... + x {}^{0} y {}^{n} ( \binom{n}{n} )

Using this, we let expand our series

( {x}^{3}   - 2 {x}^{ - 2} ) {}^{10}  = x {}^{30}  +  \binom{10}{1} ( {x}^{27}     2 {x}^{ - 2} ) +  \binom{10}{2}  {x}^{24} 2x {}^{ - 4}  +  \binom{10}{3}  {x}^{21} 2x {}^{ - 6}  +  \binom{10}{4}  {x}^{18} 2x { }^{ - 8}  +  \binom{10}{5} x {}^{15} 2x {}^{ - 10}  +  \binom{10}{6} x {}^{12}2 x {}^{ - 12}  +  \binom{10}{7} x {}^{ 9} 2x {}^{ - 14}  +  \binom{10}{8} x {}^{ 6} 2x {}^{ - 16}  +  \binom{10}{9} ( {x}^{3} )2x {}^{ - 18}  + 2x {}^{ - 20}

\frac{1}{ {x}^{5} }  = x {}^{ - 5}

So what term in the series eqaul x^-5.

That term is the 10 choose 7 term.

\binom{10}{7}  {x}^{9} 2x {}^{ - 14}

Because

=  \binom{10}{7} 2x {}^{ - 14}  {x}^{9}  =  \binom{10}{7} 2 {x}^{ - 5}

So we need to compute 10 choose 7.

That equals

10!/3!(7!)= 10×9×8/6= 720/6=120.

So we get

120(2) {x}^{ - 5}

240 {x}^{ - 5}

So the coeffceint u

is 240

3 0
3 years ago
If x=2, What is y? Pls help, i need to get this done in 15 min :000
Pavlova-9 [17]

Answer:

-6

Step-by-step explanation:

4.8(x)+1.2(y)=2.4

9.6 + 1.2y = 2.4

subtract 9.6 from both sides

1.2y = - 7.2

divide by 1.2 on both sides

y = -6

I think this is your question right????

6 0
2 years ago
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