when the whole is the same why does it take 4 copies of one tenth to equal 2 copies of one fifth draw a model to support your answer

Answers

Answer 1

Answer: well 4 copies of one tenth will equal 4 tenths. so when u simplify 4 over ten (4/10 )and divide the top and bottom by the common factor which is 2 then you will get 2 fifths because 4 divided by 2 is 2 and 10 divided by 2 is 5.

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A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back in the deck. The table shows the results after 40 trials.What is the relative frequency of selecting a diamond?

Outcome Club Diamond Heart Spade
Number of trials 8 12 11 9

A.
23%

B.
25%

C.
30%

D.
42%
A jar contained 6 red marbles, 10 green marbles, and 8 blue marbles. A marble was selected at random, the color was recorded, and the marble was placed back in the jar. The table shows the results after 50 trials.

What was the relative frequency of selecting a red marble? Round to the nearest percent, if necessary.

Outcome Red Green Blue
Number of trials 10 24 16

A spinner has five sections, labeled A, B, C, D, and E. The spinner is spun 84 times, and the results are recorded in the table.

What is the experimental probability of the spinner’s landing on A? Round to the nearest percent, if necessary.

Outcome A B C D E
Number of trials 14 20 18 15 17

A.
22%

B.
20%

C.
17%

D.
14%.
A jar holds 42 yellow and 14 purple crayons. A crayon is pulled out of the jar at random and then placed back in the jar.

How many times can you expect that a purple crayon will be pulled out of the jar in 140 tries?

A.
14

B.
20

C.
35

D.
47
A bin contains yellow and black balls. A ball is selected at random and then placed back in the bin. The results are recorded after 10 trials, 50 trials, and 150 trials. The results are recorded in the table.

Based on the table, how many times can you expect that a yellow ball will be selected in 300 tries?

Outcome Number of trials
10 50 150
Yellow 9 32 135
Black 1 18 15

Answers

Relative Frequency is how often something happened divided by the number of situations when it could have happened (trials). So in our examples we divide the numer of outcomes by trials:

first question is C: 30% (12/40=0,3)

The second question is 20% (10/50)

The third one is 16.66666, that's 17 % (14/84)

In the forth one, the purple crayons form 14/(14+42)=14/56=2/8=1/4, that's 25 %
So the purple crayons are 25 % of the total. SO in 140 trials, they should be pulled out 140*25%=140*1/4=35 times.

In the last one: after 10 trials it seemed that yellow balls were 90%. After 50 (which is a better measure yello balls seem to be 32/50=64%. After 150 trials it was 90 % again/.

I think this makes it likely that in 300 trials the balls will be taken 90% of times, that is 270 times.

A. 30%
B. 20%
C. 17%

I only know these

A veterinary office is treating dogs and cats. There are 15 more cats than dogs. Altogether, there are 45 animals.Let c represent the number of cats and d represent the number of dogs. The following system of equations represents the situation:

d+c=45

c=d+15

How many cats and dogs are in the clinic?

ignore last question, it was worded wrong. please help!

Answers

30 cats and 15 dogs.

There's 30 cats and 15 dogs

Write the number in order starting with the smallest 1.06, 1.031,1.306,1.36

Answers

1.031, 1.06, 1.306, 1.36

If it helps, when you have something that only goes to the hundredths place, add a 0 to the end.
for example, 1.63= 1.630

1.031, 1.06, 1.306, 1.36

The price of a television decreased from $275 to $190 during a clearance sale. What is the percent of decrease in the price? Round to the nearest percent, if necessary. I think it's D.

A. 29% B. 31% C. 45% D. 69%

Answers

195=275-275p -275 -27 -80=-275p You do -80 divided by -175 which is 0.45 and your answer is C45%.

What is 1/4 as a whole number?

Answers

The whole number of $(1)/(4)$ is $\boxed{0.25}.$

Further explanation:

Always use the PEDMAS rule to solve the grouping of multiplication, addition, subtraction and division.

Here, P is parenthesis, E is exponents, M is multiplication, D is division, A is addition and S is subtraction.

Given:

The number is $(1)/(4).$

Explanation:

The whole numbers is the series of numbers that starts from zero.

The natural numbers are those numbers that start from one.

The place values are only natural numbers.

The base ten systems represent the position of a place value.

The given number is $(1)/(4).$

Consider the number $(1)/(4)$ as $\text{A}$ .

$A = (1)/(4)$

Divide 1 by 4 to obtain the whole of $(1)/(4).$

$\begin{aligned}\text{A}&= (1)/(4)\n&= 0.25\n\end{aligned}$

The decimal expansion of $(1)/(4)$ is $0.25.$

The whole number of $(1)/(4)$ is $\boxed{0.25}.$

Learn more

Learn more about the polynomial brainly.com/question/12996944
Learn more about logarithm model brainly.com/question/13005829
Learn more about the product of binomial and trinomial brainly.com/question/1394854

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Number system

Keywords: place value, base value, decimal expansion, whole number, natural number, division, multiplication, subtraction, solve the equation, solution, linear equation, line, decimal.

Answer:

The value of the $(1)/(4)$ as a whole number is 0 .

Step-by-step explanation:

Definition of whole number

A whole number is an integer that is 0 or greater and there are no fractional or decimal numbers .

As given

$= (1)/(4)$

In the decimal form

= 0.25

(As the whole numbers are not express in the decimal form .)

= 0 (Approx)

Therefore the value of the $(1)/(4)$ as a whole number is 0 .

What is the solution to 2 In x = 4 In 2?
x =
DONE

Answers

Answer:

x =4

Step-by-step explanation:

2 ln x = 4 ln 2

Divide each side by 2

2/2 In x = 4/2 In 2

ln x = 2 ln 2

Remember that a ln b = ln b^a

ln x = ln 2^2

ln x = ln 4

We are taking the natural log on both sides so , what we are taking the natural log of must be the same

x =4

Answer:

Step-by-step explanation:

Use the property of logarithms $n\ln x = \ln x^n$ . (The number in front of ln becomes an exponent--or vice versa!)

Using that property on both sides, you get

$ln(x^2) = ln(2^4)$

But that means

$x^2=4^2\nx^2=16\nx=4$

Notice that $x=-4$ is not a solution because $\ln(-4)$ is undefined. Negative numbers do not have logarithms. The domain of $\ln x$ is the set of positive numbers.

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