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3 years ago

1 5 y + 8 − 4 5 = 9 10 y − 9 20

Mathematics

1 answer:

emmainna [20.7K]3 years ago

7 0

Answer:

y ≈ .98 i hope this helps :)

Step-by-step explanation:

given equation 15y + 8 - 45 = 910y - 920

simplify the equation 15y - 37 = 910y - 920

subtract 15y from both sides -37 = 895y - 920

add 920 to both sides 883 = 895y

divide both sides by 895 .98 ≈ y

y ≈ .98

0.98659217877

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A radio disc jockey has

Ierofanga [76]

4 rock, 2 reggae, 2 country...total of 8

P(1st song is reggae) = 2/8 which reduces to 1/4
P(2nd song is reggae) = 1/7

P(both events happening) : 1/4 * 1/7 = 1/28

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3 years ago

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*Find the formula of the series 1+2²+3²+4²+....+n²*<br>

Sophie [7]

The formula is $\frac{n(n+1)(2n+1)}{6}$

What are series?

In mathematics, we can describe a series as adding infinitely many numbers or quantities to a given starting number or amount.

We will find the formula as shown as below:

Let $S=1+2^2+3^2+4^2+................+n^2$

We know $(n+1)^3=n^3+3n^2+3n+1$

$(1+1)^3=1^3+3(1)^2+3(1)+1$

$(2+1)^3=2^3+3(2)^2+3(2)+1$

$(3+1)^3=3^3+3(3)^2+3(3)+1$

$(n+1)^3=n^3+3(n)^2+3(n)+1$

On adding

$2^3+3^3+4^3......(n+1)^3=(1^3+2^3+3^3+.....+n^3)+3(1^2+2^2+.....+n^2)+3(1+2+3....n)+(1+1+1+....+1)$

$2^3+3^3+4^3......(n+1)^3-(1^3+2^3+3^3+.....+n^3)=3S+\frac{3n(n+1)}{2}+(1+1+1+....+1)$

$(n+1)^3-1^3=3S+\frac{3n(n+1)}{2} +n$

$n^3+3(n)^2+3(n)+1-1=3S+\frac{3n(n+1)}{2} +n$

$2n^3+6n^2+6n=6S+3n^2+3n+2n$

$6S=2n^3+3n^2+n$

$6S=2n^2(n+1)+n(n+1)$

$6S=(n+1)(2n^2+n)$

$6S=n(n+1)(2n+1)$

$S=\frac{n(n+1)(2n+1)}{6}$

Hence, the formula is $\frac{n(n+1)(2n+1)}{6}$

Learn more about Series here:

brainly.com/question/24643676

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2 years ago

What is the probability of rolling a sum 12 on a six sided dice?

wolverine [178]

1/6 is the chance of it happening if there is a 12 on the dice

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3 years ago

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The supply sells 4 pencils for every 5 pens.The store sold 28 pencils yesterday How many pens did it sell?

MissTica

Answer:

they sold 35 pens

Step-by-step explanation:

28÷4=7 so you go 5•7=35

and that's your answer,simple math

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3 years ago

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Please solve this and show your working out. thanks!

julia-pushkina [17]

Answer:

first

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= (x-2)²= x²- 4x +4

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Step-by-step explanation:

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3 years ago