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3 years ago

11

Kaitlin is saving money to buy a game. So far she has saved $12, which is two-thirds of the total cost of the game. How much doe

s the game cost

1 answer:

Marta_Voda [28]3 years ago

3 0

I believe it’s $20

Explanation : we would have to divide it by the fraction 2/3 to know what the total is :)

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Y=x^2-2x-1 and y=-3x+5 solved algebraically

eduard

Answer:

Step-by-step explanation:

y=x²-2x-1

and y=-3x+5

x²-2x-1=-3x+5

x²+x-6=0

x²+3x-2x-6=0

x(x+3)-2(x+3)=0

(x+3)(x-2)=0

x=-3,2

when x=-3

y=-3×-3+5=9+5=14

when x=2

y=-3×2+5=-6+5=-1

so solutions are (-3,14) and (2,-1)

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3 years ago

How do you write 7,020,032 in expanded forms.

yulyashka [42]

7,000,000. 20,000. 30. 2

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3 years ago

Reese wants to organize a party and decides to save money for it.He calculates that he needs $420 in 9 weeks.He already has $60

disa [49]

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Step-by-step explanation:

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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:

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

If $k=-\frac45$ , then

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If $k=\frac15$ , then

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

This means

$\dfrac{10}{(5k-1)(5k+4)}=\dfrac2{5k-1}-\dfrac2{5k+4}$

Consider the $n$ th partial sum of the series:

$S_n=2\left(\dfrac14-\dfrac19\right)+2\left(\dfrac19-\dfrac1{14}\right)+2\left(\dfrac1{14}-\dfrac1{19}\right)+\cdots+2\left(\dfrac1{5n-1}-\dfrac1{5n+4}\right)$

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

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

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3 years ago

Do you have to add both of the bases in a triangular prism to find the volume? Someone please help!

choli [55]

Answer:

Yes,you have to add both of the bases in a triangle prism to find the volume.

Step-by-step explanation:

took the test.

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3 years ago

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