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4 years ago

Is 1/8 greater than 2/10

Mathematics

2 answers:

emmasim [6.3K]4 years ago

3 0

No, 1/8 is smaller because 2/10 is equivalent to 1/5 and 1/5 is larger than 1/8.

mr Goodwill [35]4 years ago

3 0

No, 2/10 is = to 1/5, which is greater than 1/8

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A piece of paper is randomly selected from a stack that contains 15 small, 44 large, and 20 extra large pieces.

yKpoI14uk [10]

Answer: The true statement is (A) P(extra large)≈0.25.

Step-by-step explanation:

Given that a piece of paper is randomly selected from a stack that contains 15 small, 44 large, and 20 extra large pieces.

We are to select the true statement.

Let S be the sample space for the experiment of choosing a piece.

Then, n(S) = 15 + 44 + 20 = 79.

Let A, B and C denote the events of choosing a small piece, a large piece and an extra large piece respectively.

So, n(A) = 15, n(B) = 44 and n(C) = 20.

Therefore, we have

Thus, the true statement is P(extra large)≈0.25.

Option (A) is correct

3 0

3 years ago

A population of 1000 bacteria is treated with medicine and begin to die 5% each hour. how can the bacteria population be determi

Mumz [18]

It would take five hours for all the bacteria to die. 1000 divided by 5 is 200 so 200×5 = 1000

3 0

3 years ago

Caden states that n^2 +3n + 2n is an equivalent expression to 6n. Why is Caden's statement incorrect?

malfutka [58]

$\begin{gathered} \text{The simplification of n}^2+3n+2n\text{ is:} \\ i)n^2+5n \\ By\text{ collecting common term, this can be written in form of:} \\ ii)\text{ n(n+5)} \end{gathered}$

Thus, options A and D hold, from the simplifications above.

Let's consider the validity of the remaining options provided.

$\begin{gathered} \text{For option B)} \\ \text{substitute for n=1 into the expression n}^2+3n+2n,\text{ we have} \\ 1^2+3(1)+2(1)=1+3+2=6 \\ \text{substitute for n=1 into the expression 6n, we have} \\ 6(1)=6 \\ \text{Thus, the expression n}^2+3n+2n\text{ is equivalent to 6n, for n=1} \end{gathered}$ $\begin{gathered} \text{For option C)} \\ \text{The expression n}^2+3n+2n\text{ does not simplify to 7n} \end{gathered}$ $\begin{gathered} \text{For option E)} \\ \text{substitute for n=4 into the expression n}^2+3n+2n,\text{ we have:} \\ 4^2+3(4)+2(4)=16+12+8=36 \\ \text{substitute for n=6 into the expression 6n, we have:} \\ 6(4)=24 \\ \text{Thus, the two(2) expressions are not equivalent to each other, for n=4} \end{gathered}$ $\begin{gathered} \text{For option F)} \\ \text{substitute for n=3 into the expression n}^2+3n+2n,\text{ we have:} \\ 3^2+3(3)+2(3)=9+9+6=24 \\ \text{substitute for n=3 into the expression 6n, we have:} \\ 6(3)=18 \\ \text{Thus, the two(2) expressions are not equivalent to each other, for n=3} \end{gathered}$

Hence, the correct options that apply are options A, D, E and F

7 0

1 year ago

the walls of square storage room in a warehouse are 300 feet long. what is the distance from one corner to the other corner of t

Nana76 [90]

Since it’s a square room, each side has length of 300ft. Simply use the Pythagorean Theorom to find the length from one corner to the opposing corner.

300^2 + 300^2 = c^2

90000 + 90000 = c^2

180000=c^2

Find the square root of 180000

C= 424.264069

The length from opposing corners is roughly 424.26ft

3 0

3 years ago

Read 2 more answers

Determine the solution to the system of equations graphed below and explain

lawyer [7]

If x - 4 ≥ 0, then |x - 4| = x - 4, so

G(x) = F(x) ⇒ 3x + 2 = (x - 4) + 2

⇒ 3x + 2 = x - 2

⇒ 2x = -4

⇒ x = -2

Otherwise, if x - 4 < 0, then |x - 4| = -(x - 4), so

G(x) = F(x) ⇒ 3x + 2 = -(x - 4) + 2

⇒ 3x + 2 = -x + 6

⇒ 4x = 4

⇒ x = 1

However,

• when x = -2, we have

G(-2) = 3(-2) + 2 = -4

F(-2) = |-2 - 4| + 2 = 8

• when x = 1, we have

G(1) = 3(1) + 2 = 5

F(1) = |1 - 4| + 2 = 5

so only x = 1 is a solution to G(x) = F(x).

7 0

3 years ago