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Natali5045456 [20]
3 years ago
14

If i drive at a constant rate and go 100 miles in 2 hours, write an equation that could represent the number of miles, m, per ho

ur, h.
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
5 0
100 miles ............... 2 hours
    x miles ................1 hour

x = 100 m / 2 h = 50 m / h
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The rule for converting gallons into quarts
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What is the resulting equation when the expression for y in the second equation is substituted into the first equation? 3x y = 1
Natali5045456 [20]

After putting the value of y from the second equation to the first equation, the resultant equation is x=5.

GIven:

The equations are:

3x + y = 1\\
y = 6 - 4x

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The value of y from the second equation is,

&#10;y = 6 - 4x

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Therefore, after putting the value of y from the second equation to the first equation, the resultant equation is x=5.

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brainly.com/question/2263981

8 0
2 years ago
For the following telescoping series, find a formula for the nth term of the sequence of partial sums
gtnhenbr [62]

I'm guessing the sum is supposed to be

\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}

Split the summand into partial fractions:

\dfrac1{(5k-1)(5k+4)}=\dfrac a{5k-1}+\dfrac b{5k+4}

1=a(5k+4)+b(5k-1)

If k=-\frac45, then

1=b(-4-1)\implies b=-\frac15

If k=\frac15, then

1=a(1+4)\implies a=\frac15

This means

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Consider the nth partial sum of the series:

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The sum telescopes so that

S_n=\dfrac2{14}-\dfrac2{5n+4}

and as n\to\infty, the second term vanishes and leaves us with

\displaystyle\sum_{k=1}^\infty\frac{10}{(5k-1)(5k+4)}=\lim_{n\to\infty}S_n=\frac17

7 0
3 years ago
Can someone help me !! And PLEASE SHOW YOUR WORK
Alona [7]
The formula for the area of a trapezoid is A=1/2(base one+base two)h
All you have to do is find the base one, base two, and height using the given information and then plug it into the equation.
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3 years ago
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