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1 year ago

Which equation represents this number sentence? Two more than one-third of a number is 8

Mathematics

2 answers:

Natali [406]1 year ago

8 0

Answer:

B. $2+\frac{1}{3}n=8$

Step-by-step explanation:

Let n be the number.

We are asked to write an mathematical expression for the given word phrase.

One third of a number, n, would be $\frac{1}{3}n$ .

Two more than one third of a number, n, would be $2+\frac{1}{3}n$ .

We are told that Two more than one-third of a number is 8. We can represent this information in an equation as:

$2+\frac{1}{3}n=8$

Therefore, option B is the correct choice.

frez [133]1 year ago

8 0

Two more means something + 2
One third = 1/3
Of a number is some undefined number i.e. a variable
is 8 just means mean = 8

Can you figure this out?

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A Shampoo Problem: A bottle contains 25.4 fluid ounces of shampoo. Katie uses 0.25 of the bottle. How much shampoo is left? a. I

kotykmax [81]

Answer:

a) There is no a word problem for both expressions ( $m = 0.25\cdot 25.4$ and $m = 25.4-0.25$ ), b) A bottle contains 25.4 fluid ounces of shampoo. Katie uses 0.75 of the bottle. How much shampoo is left? A bottle contains 25.4 fluid ounces of shampoo. Katie uses 0.25 fluid ounces of the bottle. How much shampoo is left?

Step-by-step explanation:

a) The shampoo problem is a word problem for:

(Final content) = (Initial content) - (Used content)

Then,

$m = 25.4 - 0.25\cdot 25.4$

Or:

$m = 0.75\cdot 25.4$

Hence, there is no a word problem for both expressions ( $m = 0.25\cdot 25.4$ and $m = 25.4-0.25$ ).

b) The word problem for $m = 0.25\cdot 25.4$ is:

A bottle contains 25.4 fluid ounces of shampoo. Katie uses 0.75 of the bottle. How much shampoo is left?

The word problem for $m = 25.4-0.25$ is:

A bottle contains 25.4 fluid ounces of shampoo. Katie uses 0.25 fluid ounces of the bottle. How much shampoo is left?

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1 year ago

If e = 9 cm and f = 40 cm, what is the length of g?

rewona [7]

(9,40,41) is a Pythagorean Triple, farther down the list than teachers usually venture.

Answer: D. 41 cm

There's a subset of Pythagorean Triples where the long leg is one less than the hypotenuse,

a^2+b^2 = (b+1)^2

a^2 + b^2 = b^2 + 2b +1

a^2=2b+1

So we get one for every odd number, since the square of an odd number is odd and the square of an even number is even.

b = (a^2 - 1)/2

a=3, b=(3^2-1)/2=4, c=b+1=5

a=5, b=(5^2-1)/2 =12, c = 13

a=7, b=24, c=25

a=9, b=40, c=41

a=11, b=60, c=61

a=13, b=84, c=85

It's good to be able to recognize Pythagorean Triples when we see them.

Otherwise we'd have to work the calculator:

√(9² + 40²) = √1681 = 41

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