How do u solve this?

SOLUTION

The given complex expression is:

Rationalize the denominator

This gives

Answer:25

Step-by-step explanation:

we know that

the total lemonade is 1 1/2 liter

She pours 1/4 of a liter of lemonade into a thermos

Her brother drinks 2/5 of the remaining lemonade

the remaining lemonade is equal to

1 1/2-1/4=3/2-1/4=5/4 liters

Multiply by 2/5

(5/4)(2/5)=10/20=1/2 liter

therefore

answer is option

C. (1 1/2 - 1/4) x 2/5

She can make 3.3 pieces from the remaining length

From the question, the given parameters are:

We start by calculating the length of the remaining pieces as a whole

This is calculated as

Length of remaining piece + length used for project = Length of string

Substitute the known values in the above equation

So, we have

Length of remaining piece + 1/4 yard = 3 yards

Subtract 1/4 from both sides

Length of remaining piece = 2.75 yards

The number of pieces is then calculated as

Pieces = Length of remaining pieces/Length of each piece

This gives

Pieces = 2.75 yards/(5/6 yards)

Evaluate the quotient

Pieces = 3.3

Hence, the number of pieces she can make is 3.3

Read more about lengths at

https://brainly.com/question/24487155

#SPJ1

Answer:

7, 14, 19, 18, 4, 16, 5, 11, 11, 12

Explanation:

The standard deviation is a statistic that measures the spread of a dataset relative to its mean.

From the given options, find the range in each of them:

• Option 1: Range = 26-22=4

• Option 2: Range=14-10=4

• Option 3: Range=18-14=4

• Option 4: Range = 25-21=4

• Option 5: Range = 19-4=15

We see that the dataset in Option 5 has a far greater range and thus the dataset will have the biggest spread relative to its mean.

Option 5 has the largest standard deviation.

In a 30-60-90 triangle:

so:

Answer:

The equation for the value of OU is;

Explanation:

Given that S is the midpoint of segment OU.

Then;

Given in the question;

Substituting the values of OS and SU to get OU;

Therefore, the equation for the value of OU is;

Answer:

16.6%

Step-by-step explanation:

First, find the difference between the prices:

$3.95 - $3.45 = $0.50

Then, divide the difference by yesterday's price.

$0.50 ÷ $3.95

≈ 0.166

≈ 16.6%

Answer:

12.7%

Step-by-step explanation:

$3.95 - $3.45 = $.50

$.50 / $3.95 = .127 = 12.7%

The formula for calculating a z-score is

Where:

*x is the raw score

*μ is the population mean

*σ is the population standard deviation

Answer:

108

Step-by-step explanation:

12×9=108

just for the extra characters

Answer:

108

Step-by-step explanation:

z/12 = 9

z = 9 × 12

z = 108

Please rate BRAINLIEST.

The $456 and $228 Emery owed from the amount she borrowed to buy a new phone after 2 weeks and 5 weeks gives;

a. The original amount owed is $608

b. Emery pays $76 each week

c. The point and slope and slope and intercept both gives the amount Emery pays each week as the slope, while the slope and intercept form further gives the original amount borrowed as the y–intercept, c

A straight line equation is one which expresses a linear relationship between variables

Let y represent the original amount of money Emery borrowed from her brother, and let m represent the amount she pays each week to settle the loan, we have;

The given parameters are;

The amount Emery owes after 2 weeks = $456

The amount Emery will owe after 5 weeks = $228

a. The above information can be expressed by writing the following equations;

456 = y - 2•m...(1)

228 = y - 5•m...(2)

Subtracting equation (2) from equation (1) gives;

y - 2•m - (y - 5•m) = 456 - 228 = 228

3•m = 228

Therefore;

m = 228 ÷ 3 = 76

m = 76

The original amount Emery borrowed, y, from equation (1) is therefore;

y = 456 + 2•m

y = 456 + 2 × 76 = 608

The original amount Emery borrowed, y, is $608

b. The amount Emery pays each week, m = $76

c. The straight line equation in point and slope form is presented as follows;

[tex] y_2 - y_1 = m•(x_2 - x_1) [/tex]

From the above equation, the two points (456, 2) and (228, 5) given in the question can be used to find the slope, m, which is the amount paid each month

The slope and intercept form of a straight line equation is y = m•x + c

From the slope and intercept form, we have;

The slope, m = The amount Emery pays per month

The intercept, c = The original amount Emery borrowed

Therefore, both forms of the straight line equation gives the amount Emery pays each week, while the slope and intercept form also gives the original amount Emery borrowed

Learn more about the equations of a straight line here:

https://brainly.com/question/28778169

#SPJ1

The formula for the area of a triangle is A is;

Answer:

that's too easy

4 thousands=4000

12 hundreds=120

4000+120=4120

4 thousands and 12 hundreds

We will have the following:

We translate the points:

A(-12, 3)

B(-6, -3)

C(-12, -9)

The transformation rule is (x, y) -> (x + 14, y + 13); so:

A'(2, 16)

B'(8, 10)

C'(2, 4)

The population is growing at an annual rate of 16.2%

Here, we want to calculate the exponential growth rate

Mathematically, we can write the exponential equation of growth as follows;

Where P is the population after a certain number of years ( 270 after 3 years

I is the initial popultaion which is 200

r is the percentage we want to calculate

t is the number of yeats to reach P which is 3 in this case

To the nearest tenth of a percentage, this is 16.2%

Answer:

See below

Step-by-step explanation:

Sum of n = inf    =     a / ( 1-r)       one half of this = 1/2 ( a/(1-r) )

Sum of first 3 terms =   a ( 1- r^n) / ( 1-r)   = a (1-r^3) / (1-r)

The underlined value are equal ( given in the Q)

1/2  a / (1-r)    = a ( 1-r^3) / (1-r)           Multiply both side by ( (1-r) )

1/2 a = a ( 1-r^3)           divide both sides by  a

1/2 = 1- r^3      subtract 1 from both sides

-1/2 = - r^3

1/2 = r ^3

r = cuberoot ( 1/2)  =  1/2 ^(1/3)  =   .793700526

Answer:

If the half-life of a nuclide is 44.5 days, then 178 days is four half-lives.

explanation:

After four half-lives, 0.0625 (0.54) of the original nuclides remains. If 50g is the original mass, then the mass after 4 half-lives is 3.125g.

AT = A0 2(-T/H)

A178 = (50) 2(-44.5/178)

A178 = 3.125

If we get the cross section perpendicular to the base of this image, we would get the same shape as the image.

Through the diagram, we can see that if we cut the image to get the cross section perpendicular to its base, we would get the same shape as the image, which is a pentagon.

Answer:

1/6

Step-by-step explanation:

SIX possible rolls    1,2,3,4,5,6

   4 is 1 out of 6      or 1/6

The answer is either Option (a) or option(b) or both the options i.e, 120 or √144

What is Integer ?

An  integer is a whole number from the set of -ve , non-negative , +ve and 0 numbers.

Let's see how both the option is  correct

we know, integers are 0,1, 2, 3, .... or -1, -2 , -3 ......

Means the number which is not in fraction or decimal value or root.

so, by seeing option(a) we can say it's an integer

but in option(b) it's the root so how it is integer

The answer is simple it's perfect square of 12 so √144 = 12 so that means it have the value which is not in fraction. By that we can say that option(b) is also an integer

Now, in option(c) and (d) they are not the perfect square and their root results in decimal values. so we cannot tell them as an integer value.

Hence, the answer is either Option (a) or option(b) or both the options.

To read more about the Integers.

https://brainly.com/question/17695139

#SPJ13

As you can see in the given figure, there are two different shapes.

One is a rectangle and the other is a triangle.

Recall that the area of a rectangle is given by

Where L is the length and W is the width.

As you can see from the figure,

W = 4

L = 5

So the area of the rectangle is

Recall that the area of a triangle is given by

Where b is the base of the triangle and h is the height of the triangle.

As you can see from the figure,

b = 4

h = 2

So the area of the triangle is

Now the total area of the shaded region is the sum of the area of the rectangle and the area of the triangle.

Therefore, the area of the shaded region is 24

If you don’t need further explanation on this question, we can end the session. I’d really appreciate you letting me know how I did by rating our session after you exit.

Thanks and have a great day!

Angle IJL is 54 because congruent angles have equal measure.

What are congruent angles?

Congruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other. The type of angles does not make any difference in the congruence of angles, which means they can be acute, obtuse, exterior, or interior angles.

According to question, angle m IKL = 54

And AB// CD and EF// GH

Angle IKL is alternate interior angle to angle HLK

m angle HLK= m angle IKL (congruent angles have equal measure)

m angle HLK= 54

Similarly, m angle IJL = m angle HLK

Hence, angle IJL= 54

To know more about Congruent angle, visit:

https://brainly.com/question/28262429

#SPJ9

The coordinates are made up of an x-​​coordinate and a y-coordinate, written in the form (x, y), the translation given is (x + 1, y - 1), which means adding +1 to all x-coordinates and subtracting -1 to all y-coordinate.

Then, the pair B(0, -4) will be transformed into B'(0 + 1, -4 - 1) → B'( 1, -5)

C( -1, 1) → C' (-1 + 1, 1 - 1) → C'( 0, 0)

D( 1, 3) → D' ( 1 + 1, 3 - 1) → D'( 2, 2)

E( 4, -1) → E' ( 4 + 1, -1 - 1) → E'( 5, -2)

A graph of which best describes what the proportional relationship would look like is: D. A line passes through the point (0, 0) and continues through the point (12, 3).

In Mathematics, a graph is used to graphically represent data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis respectively.

Additionally, a graph that represents a proportional relationship between two variables would always have a straight line with its data points passing through the origin (0, 0).

Since the graph represents a proportional relationship we have:

Constant of proportionality, k = 12/3 = 8/2 = 24/6 = 4

Ratio = 24:6 = 12:3.

Therefore, (0, 0) and (12, 3) are points on this graph that represents a proportional relationship.

Read more on graphs here: brainly.com/question/4546414

#SPJ1

Answer:d

Step-by-step explanation:trust

The answer is: It will be a line.

where x is the first, y the second and z the third

the second gear has 13 more teeth than the first gear

The third gear has 15 more teeth than the second gear

we need solve z form the third equation and solve x from the second equation an replace on the first

replacing

so, the second gear have 35 teeth

Let's check out the expression

To simplify, you have to add up similar terms. That is, add up everything that has an x, add up everything that has a y, and add up every independent term (no variable), as following:

And there we have the simplified expression.

Given the following sequence:

notice that the common difference between each term is -3, therefore, we can use the explicit formula for a sequence:

we have that the explicit formula is a_n=20-3n, while the recursive formula is:

Answer:

1

Explanation:

Given:

To evaluate the expression above, apply the law of indices below.

That is, whenever a number (except 0) is raised to the power of 0, the result is always 1.

Therefore: