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3 years ago

14

Bill ate 1/4 pound of trail mix on his first break during a hiking trip. On his second break, he ate 1/6 pound. How many pounds

of trail mix did he eat during both breaks?

2 answers:

Mademuasel [1]3 years ago

5 0

1/4 pound+ 1/6 pound
= 3/12 pound+ 2/12 pound
= 5/12 pound

Bill ate 5/12 pound during both breaks~

Arada [10]3 years ago

3 0

1/4 + 1/6 = (6+4)/24 = 10/24 = 5/12

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What is the difference? StartFraction x Over x squared minus 16 EndFraction minus StartFraction 3 Over x minus 4 EndFraction Sta

katovenus [111]

Answer:

The option "StartFraction negative 2 (x + 6) Over (x + 4) (x minus 4) EndFraction" is correct

That is $\frac{-2(x+6)}{(x+4)(x-4)}$

Therefore $\frac{x}{x^2-16}-\frac{3}{x-4}=\frac{-2(x+6)}{(x+4)(x-4)}$

Step-by-step explanation:

Given problem is StartFraction x Over x squared minus 16 EndFraction minus StartFraction 3 Over x minus 4 EndFraction

It can be written as below :

$\frac{x}{x^2-16}-\frac{3}{x-4}$

To solve the given expression

$\frac{x}{x^2-16}-\frac{3}{x-4}$

$=\frac{x}{x^2-4^2}-\frac{3}{x-4}$

$=\frac{x}{(x+4)(x-4)}-\frac{3}{x-4}$ ( using the property $a^2-b^2=(a+b)(a-b)$ )

$=\frac{x-3(x+4)}{(x+4)(x-4)}$

$=\frac{x-3x-12}{(x+4)(x-4)}$ ( by using distributive property )

$=\frac{-2x-12}{(x+4)(x-4)}$

$=\frac{-2(x+6)}{(x+4)(x-4)}$

$\frac{x}{x^2-16}-\frac{3}{x-4}=\frac{-2(x+6)}{(x+4)(x-4)}$

Therefore $\frac{x}{x^2-16}-\frac{3}{x-4}=\frac{-2(x+6)}{(x+4)(x-4)}$

Therefore the option "StartFraction negative 2 (x + 6) Over (x + 4) (x minus 4) EndFraction" is correct

That is $\frac{-2(x+6)}{(x+4)(x-4)}$

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3 years ago

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What are the counting numbers in base 6

WITCHER [35]

In the base 6 number system, we would only use numerals from 0 to 5. The idea of base 6 is just like the normal base 10 system, however instead of using the numerals from 0 to 9, we use numerals from 0 to 5. And instead of having a ones digit, a tens digit, a hundreds digit and so on, we use a ones digit, a sixes digit, a thirty-sixes digit, and so on. Therefore in base 6, the number 321 means 1 one plus 2 sixes plus 3 thirty-sixes, or 121. So to count until 15 for example, we would need:

Base 6 Base 10

1 1

2 2

3 3

4 4

5 5

10 (1 six plus 0 ones) 6

11 (1 six plus 1 one) 7

12 (1 six plus 2 ones) 8

13 9

14 10

15 11

20 (2 sixes plus 0 ones) 12

21 (2 sixes plus 1 one) 13

22 14

23 15

8 0

3 years ago

The volume of a cube is 448cm3.<br> Work out the length of its side rounded to 1 DP. Please hellp

Virty [35]

Answer:

7.65 or 7.7 rounded to 1 DP

Step-by-step explanation:

To find the length of the side of a cube we do the inverse of finding the volume.

one side= x

If x³ = volume, therefore ∛448 is how to find the length of one side.

∛448= 7.65

I hope this helps you.

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3 years ago

If x and y are integers, and 3x + 2y = 13, which of the following could be the value of y ?

lions [1.4K]

They are all integers so...
first lets substitute
A.3x=13
X=13/3
b.3x+2=13
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x=11/3
c.3x+4=13
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x=3
d.3x+6=13
3x=7
x=7/3

E.3x+8=13
3x=5
x=5/3

therefore the possible is letter c because it must be an integer and the definition of integer states that it is not a decimal nor a fraction

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3 years ago

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Which names are other ways to name ∠1?

vesna_86 [32]

∠1 is an angle formed by the two lines PF and YF at point F

We can also call this angle as ∠PFY because it indicates the point F in the middle where the angle is formed

We can call this angle as ∠YFP because it also indicates the point F in the middle where the angle is formed

we can also call this angle ∠F since F is the point where the angle is formed.

Correct answer: ∠PFY, ∠YFP, ∠F

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3 years ago