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3 years ago

A flea weighs 8 decigrams, and an ant weighs 3 milligrams. How much more does a flea weigh than an ant?

1 answer:

5 0

Decigrams are 100 times bigger than milligrams, so convert 8 decigrams to 800 milligrams. Than subract: 800-3= 797

The flea weighs 797 milligrams more than the ant.

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Y = 3x + 3.5<br> Graph it

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3 years ago

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8 scholars were sharing 6 brownies each scholar got an equal amount how much did each scholar get

Eva8 [605]

Answer:

4/3 or 1 1/3 brownie

Step-by-step explanation:

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4 years ago

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morpeh [17]

Answer:

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Step-by-step explanation:

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2 years ago

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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

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3 years ago

A line is parallel to y = 3x + 8 and

Ad libitum [116K]

Answer:

y= 3x+16

Step-by-step explanation:

y = 3x + 8 ║ y= mx +b

Since lines are parallel, m=3

y= 3x+b

(-3, 7) intersect

7= 3*(-3) + b
b= 7+9
b= 16

y= 3x+16

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3 years ago