rationalize the denominator 5√3+3√5 / 5√3- 3√5​

Answer:

21.6

Step-by-step explanation:

you divide 129.60 by 6 and you get 21.6.

There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

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Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

The graphical representation of a linear equation is a straight line. To solve linear equations, it is important to keep in mind the following key concepts:

We will subtract 5 from both sides.

We divide both sides by -1.

Answer: Therefore the solution of the exercise -x+5=1, is x = 4. The correct option is "D". ✅

In terms of measures of spread, Group B has a wider IQR than Group A

The comparative dot plots show the points scored in a game by two groups, Group A and Group B. Both groups have a similar spread, with most of the dots clustered around the middle of the distribution. However, there are some differences in the tails of the distribution that affect the measures of spread.

For Group A, the lowest score is 41, and the highest score is 50. The interquartile range (IQR), which is the range containing 50% of the scores, is approximately from 45 to 48. The range, which is the difference between the highest and lowest scores, is 9.

For Group B, the lowest score is 41, and the highest score is 50. The interquartile range (IQR) is approximately from 43 to 49. The range is also 9.

This indicates that Group B has a more variable distribution of scores within the middle 50% of the distribution, indicating a more variable distribution of scores within the middle.

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Answer:

A.

Step-by-step explanation:

I calculated it logically

Answer:

d.

Step-by-step explanation:

\(y = \frac{1}{ {x}^{2} } \\ horizontal \: asymptote : \\ {x}^{2} = 0 \\ x = 0\)

Answer: choice (B)

Step-by-step explanation:

(-4,4)

(0,5)

slope=  \(\frac{5-4}{0-(-4)}= \frac{1}{4}\)

Answer:

9:103° is the answer because of vertically opposite angle

10: 119° is the answer because of alternate angle

Hope it helps you...

Step-by-step explanation:

mark me brainliest

\(\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \stackrel{ \textit{we'll use this one} }{log_a a^x = x}\qquad \qquad a^{log_a (x)}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)+4\implies \log_2\left( \cfrac{1}{2^4} \right)+4\implies \log_2(2^{-4})+4\implies -4+4\implies \text{\LARGE 0}\)

\(\rule{34em}{0.25pt}\\\\ \textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b\qquad\qquad \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)=y\implies 2^y=\cfrac{1}{16}\implies 2^y=2^{-4}\implies y=-4\)

The number of ways it can be done if order of the choices is taken into consideration is 15,444 ways

Permutation has to do with arrangement and combination has to do with selection.

If we are choosing 5 objects, without replacement, from 15 distinct objects, this has to do with permutation if the order of the choices is taken into consideration

15P5 = 15!/(15-5)!5!
15P5 = 15!/10!5!
15P5 = 15*14*13*12*11/5*4*3*2

15P5 = 15,444 ways

Hence the number of ways it can be done if order of the choices is taken into consideration is 15,444 ways

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Complete question

Suppose we want to choose 5 objects, without replacement, from 15 distinct objects. How many ways can this be done, if the order of the choices is taken into consideration?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The total number of people want in all is 531.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of buses = 9

Number of buses that has 63 people = 5

Number of buses that has 54 people = 4

The total number of people in all the buses.

= 5 x 63 + 4 x 54

= 315 + 216

= 531

Thus,

The total number of people want in all is 531.

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Answer:

4.35

Step-by-step explanation:

Answer:

The right solution is "0.196".

Step-by-step explanation:

The given values are:

Standard deviation,

\(\sigma=1 \ minute\)

Sample size,

\(n=100\)

Confidence level,

\(c=95\)%

  \(=0.95\)

Now,

For \(\alpha=1-c\)

         \(= 1-0.95\)

         \(=0.05\)

then,

\(Z_{\frac{\alpha}{2} } = Z_{\frac{0.05}{2} }\)

     \(=Z_{0.025}\)

     \(=1.96\)

The margin or error will be:

⇒ \(E=Z_{\frac{\alpha}{2} } (\frac{\sigma}{\sqrt{n} })\)

On substituting the values, we get

       = \(1.96(\frac{1}{\sqrt{100} })\)

       = \(1.96\times \frac{1}{10}\)

       = \(0.196\)

Your question is incomplete

I have provided the various variables used in the question and their types

Step-by-step explanation:

The independent/explanatory variable in this question is the number of hours spent watching tv. This variable is what is used to explain the changes that occurs in the dependent variable.

The dependent/response variable is the number of aggressive actions that the individual commits. This is the variable we are interested in. This variable is measured using the independent variable.

The confounding variable is gender. And this variable has an impact on both the dependent and the explanatory variables.

Step-by-step explanation:

3^6  = 3 * 3^5

 = 3 * 243 =  729

Answer:

Exactly 7 Shirts.

Step-by-step explanation:

Janice is already going to pay $24 for a pair of jeans, so we subtract this amount from how much she wants to spend, $80. This gives us $56 remaining. Because each shirt costs $8, we divide 56 by 8, which gives us 7.

Answer:

Step-by-step explanation:

Answer:

The area between z = 1.74 and z = 1.25 is of 0.065.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The area between two values of Z is given by the subtraction of the pvalue of the larger value by the smaller.

The area between z = 1.74 and z = 1.25.

This is the pvalue of z = 1.74 subtracted by the pvalue of z = 1.25.

z = 1.74 has a pvalue of 0.959

z = 1.25 has a pvalue of 0.894

0.959 - 0.894 = 0.065

The area between z = 1.74 and z = 1.25 is of 0.065.

Answer:

1

Step-by-step explanation:

Because 6 times 1 is 6 and 7-6 is 1

Answer:

790

Step-by-step explanation:

7098uuilu4645

Answer:

48cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

List all of the solutions.

42=

94=

192 cm is the length of rectangle.

What is rectangle?

An example of a quadrilateral with opposite sides that are both equal and parallel is a rectangle.

                     There are four 90-degree angles on its four sides, making it a four-sided polygon. A rectangle is a shape with only two dimensions.

Area of rectangle  = 72 * 56

                               = 4032 cm²

the second rectangle's area is same as first rectangle  .

             4032 = x * 21

               x = 4032/21

                 x = 192 cm

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In conclusion  the value that correctly fills in the blank in the table is 0.69.

Why it is?

To find the relative frequency of boys, we need to use the information given in the frequency table. We know that the total number of boys is 120 - 37 = 83, since the total number of students is 120 and the number of girls is 37.

We can then calculate the relative frequency for boys by dividing the number of boys who prefer math or social studies (40 + 43 = 83) by the total number of students (120):

Relative frequency for boys = (40 + 43) / 120 ≈ 0.69

Rounding to the nearest hundredth, we get:

Relative frequency for boys ≈ 0.69

Therefore, the value that correctly fills in the blank in the table is 0.69.

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Answer:

Answer: 45%

54 is 45 percent of 120

Step-by-step explanation:

STEP 1 =

54

120

By multiplying both numerator and denominator by 100 we will get:

STEP 2 =

54

120

×

100

100

=

45

100

STEP 3 =

45

Finally, we have found the value of Y which is 45 and that is our answer.

You can use a calculator to find what percent of 120 is 54, just enter 54 ÷ 120 × 100 and you will get your answer which is 45

Answer:

coordinates of a point are a pair of numbers that define its exact location on a two-dimensional plane.

Step-by-step explanation:

you can take that as you will.