3 years ago

Would anyone know the correct answers to these three math questions?

Mathematics

1 answer:

bogdanovich [222]3 years ago

5 0

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Last year, a farmer harvested 3 tons of strawberries. This year, the harvest was 20% more. How many tons of strawberries did the

MariettaO [177]

Answer:

3.6 I think

Step-by-step explanation:

Times 3 by 1.2 im sorry if I was wrong.

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3 years ago

Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks

Iteru [2.4K]

Let

$P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}$

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

$P(1):\ 1 = \dfrac{1\cdot 2}{2}=1$

So, the base case is ok. Now, we need to assume $P(n)$ and prove $P(n+1)$ .

$P(n+1)$ states that

$P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}$

Since we're assuming $P(n)$ , we can substitute the sum of the first n terms with their expression:

$\underbrace{1+2+\ldots+n}_{P(n)}+n+1 = \dfrac{n(n+1)}{2}+n+1=\dfrac{n(n+1)+2n+2}{2}=\dfrac{n^2+3n+2}{2}$

Which terminates the proof, since we showed that

$P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}$

as required

4 0

3 years ago

A supermarket randomly gives each shopper a free two liter bottle of cola during the Saturday shopping hours. The supermarket se

Musya8 [376]

You can use a graph and put all the information on there

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4 years ago

Solve the equation for y. 4.2x−1.4y=2.1

Vlada [557]

Answer:

y=3x- 3/2

Step-by-step explanation:

4.2x−1.4y=2.1

Subtract 4.2x from each side

4.2x-4.2x−1.4y=-4.2x+2.1

-1.4y = -4.2x +2.1

divide each side by -1.4

-1.4y/-1.4y = -4.2x/ -1.4 +2.1/-1.4y

y=3x- 3/2

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3 years ago

Multiply 4 11 6 20 66 19 17 66 20 17

schepotkina [342]

That’s weird for the answer i got 10/33

7 0

3 years ago

Read 2 more answers