Which of these fractions is equal to 1? A 31/31 B 17/18 C 1/5 D 7/4

The simplification of the expression ∛(1/16) × (-54/1) is -27√4/32.

Rationalization is the process of removing a radical as well as imaginary number from of the denominator of an arithmetic fraction. That is, in a fraction, remove the radicals so that the denominator just includes a rational number.

Now the expression is given as;

= ∛(1/16) × (-54/1)

= -54/ ∛16

Taking cube root of 16.

= -54/(4√4)

= -27/2(√4)

By the process of rationalization, multiply the numerator and denominator by the a radical that removes the radical from the denominator which is √4.

= -27×√4/2(√4×√4)

Simplifying the equation;

= -27√4/32

Therefore, the simplification of the expression is -27√4/32.

To know more about the Rationalization, here

https://brainly.com/question/13098977

#SPJ9

Answer:

40

Step-by-step explanation:

Convert the word problem into an equation as follows:

Let's use the variable 'x' for girls and 'x+7' for boys.

x + x + 7 = 29

Combine like terms

2x + 7 = 29

Subtract 7 from both sides

2x = 22

Divide 2 into 22 to get x

x=11 girls

x+7 = 18 Boys

The answer for the given question is 67.

An equation is a mathematical statement made up of two expressions connected by an equal sign. 2x - 4 = 16 is an example of an equation. We get the value of the variable x as x = 10 after solving this equation.

Coefficients, variables, operators, and constants are all components of an equation.

An equation is formed by joining two expressions with an equal sign ("=").. The two expressions on either side of the equals sign are referred to as the equation's "left-hand side" and "right-hand side" The right-hand side of an equation is usually assumed to be zero. This will not reduce generality because we can balance it by subtracting the right-hand side expression from the expressions on both sides.

Let x be Vidya's height.

The equation will be determined by the given conditions:

x – 19 = 48

move the variable to the equation's left side:

x = 48 + 19

x = 67

Hence, the correct value for the given question is 67

learn more about linear equations here:

https://brainly.com/question/1214333

#SPJ9

Answer: y∈(-∞,3]

Step-by-step explanation:

[tex]y=-|x+1|+3[/tex]

Step-by-step explanation:

1111111111111111111111

The solution to the inequality is: n < -9.

Given the inequality statement, 4n - 6 (n + 1) > 12, to solve for the value of n, we would isolate the n to one side of the inequality as shown below:

4n - 6 (n + 1) > 12

Distribute

4n - 6n - 6 > 12

Combine like terms

-2n - 6 > 12

-2n - 6 + 6 > 12 + 6

-2n > 18

Divide both sides by -2

-2n/-2 < 18/-2

n < -9

Learn more about inequality on:

https://brainly.com/question/11613554

#SPJ4

The phone numbers that are possible in Wilmington are 10000000. The phone numbers possible in Wilmington if the number cannot be used is 4782969. The phone numbers are possible in Wilmington if they must be divisible by 2 or 5 are 6000000. The phone numbers are possible in Wilmington if there are no repeated digits are 5040.

A positional numeral system uses a single symbol, a numerical digit, to represent numbers. The word "digit" refers to the ten decimal (old Latin adjective decem meaning "ten") digits, which are the equivalent of the ten symbols used in the conventional base-10 numeral system. The word "digit" comes from the Latin word "digiti," which means "fingers."

The absolute value of the base determines the required number of different digits for a given numeral system with an integer basis. For instance, the base-10 decimal system requires ten digits (0 through 9), whereas the base-2 binary system just needs two digits (0 and 1).

Explanation:

The number after area code is of 7 digits.

a) [tex]10^{7} =10000000[/tex]

b) [tex]9^{7} =4782969[/tex]

c) X  X  X  X  X  X  X

    I   I    I   I    I    I    I

   10 10 10 10 10 10  0,2,4,6,8,5,i.e,6digits are possible

=[tex]10^{6} x6=6000000[/tex]

d)7!

=5040

To learn more about digit ,visit:

https://brainly.com/question/2601739

#SPJ4

Answer:

2nd power

Step-by-step explanation:

3rd is cubed and 1st is: example 3^1 = 3

square root is √

The best measure to determine the variability is mean which is equal to 69.48

We are given the data:

48, 55, 60, 61, 62, 63, 64, 65, 66, 66, 68, 70, 70, 71, 71, 72, 74, 74, 75, 76, 77, 77, 78, 79, 81 and 86​

The best measure to determine the variability is mean.

Total number of observations = 26

Sum of observations (S) will be:

S = 48 + 55 + 60 + 61 + 62 + 63 + 64 + 65 + 66 + 66 + 68 + 70 + 70 + 71 + 71 + 72 + 74 + 74 + 75 + 76 + 77 + 77 + 78 + 79 + 81 + 86​

S = 1809

Mean = Sum / total

Mean = 1809 / 26

Mean = 69.58

Therefore, the best measure to determine the variability is mean which is equal to 69.48

Learn more about mean here:

https://brainly.com/question/1136789

#SPJ9

Answer:

13 - 12s

Step-by-step explanation:

= 8 - 3s + 6 - 5s - 1 - 4s

= 13 - 12s

Answer:

8+3=11

(-s + 2) - 5s - 1 - 4s = -10s + 1

The area of the actual park in square meters will be 54000m².

The length of the actual park will be:

= 180/6 × 10

= 300m

Width = 180m

Therefore, the area will be:

= Length × Width

= 300 × 180

= 54000 m²

Learn more about scale on:

brainly.com/question/25722260

#SPJ1

Answer:

What is the question

Step-by-step explanation:

The area of the window is 305.12 square inches.

given that

jaylon created this stained glass window the upper two coners are quater ciecleseach with a radius of 4 inches.

The window's area is equal to the sum of the areas of a rectangle, two quarter circles, and the smaller square between the two upper corners.

The quantity of space occupied by a flat surface with a specific shape is referred to as the area.

now, find the area of rectangle

A = length x breadth

A = 12 x (26-4)

A = 12 x 22

A = 264 square inches

find the area of the two quarter circle

[tex] A= 2( \frac{1}{4} (3.14) \times {4}^{2} ) \\ A = 25.12 {in}^{2} [/tex]

Find the area of the smaller square between the two upper corners

A = (12-8) (4)

A = 4 x 4

A = 16 sq.in

now, find the total area

A = 264 + 25.12 + 16

A = 305.12 square inches

Hence, the area of the window is 305.12 square inches.

Learn more about area of rectangle from here:

https://brainly.com/question/25292087

#SPJ4

If the average of x and y is 11 and the average of x, y and z is 5, then the value of z is -7

Given,

The average of x and y = 11

We know average = Sum of the terms / Number of terms

Then, the equation will become

[tex]\frac{x+y}{2}=11[/tex]
x+y =11×2

x+y =22

Average of x, y and z = 5

[tex]\frac{x+y+z}{3}=5[/tex]

x+y+z = 5×3

x+y+z =15

Substitute the value of x+y

22+z=15

z =15-22

x = -7

Hence, If the average of x and y is 11 and the average of x, y and z is 5, then the value of z is -7

Learn more about average here

brainly.com/question/12984400

#SPJ4

Answer:

a(c-b)=d

we open the bracket i.e expand it

ac-ab=d

make c the subject formula to get your answer

ac=d+ab

c=d+ab/a

If the upstairs switch is in the down position and the downstairs switch is in the up position, the light will be off

The given parameters are

Switches = 2 i.e. top and bottom

Also, we have:

When the upstairs switch is up and the downstairs switch is down, the light is turned on.

This means that the light is only on when the upstairs switch is up and the downstairs switch is down

Any other position of the switches, the light is off

From the question, we have

Upstairs switch is in the down position and the downstairs switch is in the up position

This is different from the required position to on the light

Hence, the light will be off

Read more about truth values at:

https://brainly.com/question/10987201

#SPJ1

As per the question, without replacement draw 5 cards from a deck of 52 playing cards. The probability to draw 5 cards can be written as:

[tex]P(getting2 spades) = \frac{P(E)}{n(E)} = \frac{13X12}{52X51} =\frac{1}{17}[/tex]

Therefore, the probability of getting at most two spades is [tex]\frac{1}{17}[/tex].

What is probability?

Probability is the method to measure the occurred events or the occurrence of the events. It is also used to analyze the outcomes of random events. To calculate the probability of a playing card which is [tex]52[/tex] in numbers. And it is divided into fours cards and each are in the count of [tex]13[/tex].These fours cards are heart, spades, diamond and club.

To learn more about the Probability of a playing card from the given link:

https://brainly.com/question/13604758

#SPJ4

Answer:

$134.09

Step-by-step explanation:

you take 156.34 and minus 15.50, then you take that and minus it by 6.75

Answer $134.09

why 156.34 - 15.50+6.75=134.09

The Total amount to pay including the tax will be $132.52

In the given question, For the Total amount, we know that we have to add the Tax rate to the Principal amount. It is mentioned that the Principal amount P = $123.28 and the Tax rate is 7.5%. Firstly we have to calculate what amount of interest is to be charged upon the Principal amount. To calculate Interest we have the formula :

=>  I = (P * R)/100 , where I = Interest, P = Principal Amt, R = Interest Rate

=>  I = (123.28 * 7.5)/100   => I = 9.24

We get Interest amount = $9.24

To calculate the Total amount, We have the formula: T = P + I

where, T = Total Amount, P = Principal Amount, and I = Interest Amount

=>  T = 123.28 + 9.24  => T = 132.52

Hence, the Total Amount is $132.52

To know more about Tax Word Problems, Click here :

https://brainly.com/question/24357547

#SPJ4

Answer: Look at the explanation.

Step-by-step explanation: So first you move the 6x to the left side of the equal sign, then u turn it into a negative number. Next, you do 7x-6x=5. Which is 2x=5. And to find x you do 5÷2. Which is 2.5.

Hope this helps!

Answer:

x = -5

Step-by-step explanation:

Let's solve the problem,

→ 7x + 5 = 6x

→ 7x - 6x = -5

→ [ x = -5 ]

Hence, the answer is -5.

The type of distributions represented by the given graphs in the question are as follows;

(a) Symmetric

(b) Bimodal

(c) Skewed right

(d) Uniform

(e) Skewed right

The definition and descriptions of the given terms are;

Approximately; The term is used to describe the state of things which is close to an actual thing or situation.

Symmetric; A distribution is symmetric when the area of the side on the left and on the right of the mean are equal and balance each other.

Bell shaped; A distribution that has a bell shaped graph, which usually represents a normal distribution, can be described as a bell shaped distribution.

Skewed left; The graph of a distribution is skewed left if it has a tail (smaller values) on the left of the graph

Skewed right; The graph of a distribution is skewed right if the tail is on the right of the graph.

Uniform; A distribution is uniform if the shape of the graph is approximately rectangular.

Bimodal; A distribution that has two peaks is said to be a bimodal distribution.

Learn more about the types of distributions here:

https://brainly.com/question/16992857

#SPJ1

Answer:

y = 3/4 x - 1

Step-by-step explanation:

We can use the point-slope form of the equation of a line.

y - y_1 = (y_2 - y_1)/(x_2 - x_1)(x - x_1)

y - (-4) = (5 - (-4))/(8 - (-4))(x - (-4))

y + 4 = (9/12)(x + 4)

y + 4 = (3/4)(x + 4)

y + 4 = (3/4)x + 3

y = (3/4)x - 1

Answer:

12

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

BODMAS

start with solving 2^2 which is similar to 2×2 you get 4

2^2=4

4+3 =7

The value of x in the figure is 4

From the attached figure, we have the following parameters:

DE = x + 1

BC = 4x - 6

The triangles ADX and ABC are similar triangles

Based on the representation of the sides, we have:

BC = 2 * DE

So, we have

2 * (x + 1) = 4x - 6

Expand

2x + 2 = 4x - 6

Evaluate the like terms

2x = 8

Divide by 2

x = 4

Hence, the value of x in the figure is 4

Read more about similar shapes at:

https://brainly.com/question/14285697

#SPJ1

The total cost of a Jalapeno is $ 9.24

Three friends ate at a restaurant and ate nachos for $19.95 and jalapeno poppers.

Three of them paid $9.73 each

So the total amount of money paid by three friends = 3×9.73

                                                                          = 29.19

Now we have to calculate the cost of jalapeno poppers

Therefore we have,

Total amount of money paid = cost of nachos + cost of jalapeno poppers

29.19 = 19.95 + cost of jalapeno poppers

The cost of jalapeno poppers =29.19 - 19.95

                                           = $9.24

To know more about the cost refer to the link given below:

https://brainly.com/question/2004396

#SPJ1

Answer: The cost is $9.24 for the peppers.

Step-by-step explanation: Just do math.

Answer:

8 - positive

9- no correlation

10- negative

11- positive

12- No correlation

13- negative

14- no correlation

15- no correlation

Step-by-step explanation:

8- Positive because the more hours a person has driven, the more number of miles he/she drives increases.

9- the number of siblings a student has should not affect the grade they have in math class

10- negative because as a car gets older, the value decreases

11- positive because the longer a cd is out the more sales they get

12- In a logical sense, it could be positive, because someone who dropped out of highschool will get paid less than someone who went to school for 18 years and graduated with a hs diploma. it can also mean no correlation. therefore I think it is positive.

13- negative because the more songs someone downloads, the more the ipods space decreases

14- no correlation, the amount of computers in your house does not change how much you message your friends

15- no correlation, your house can be 3 years old and have 5 people living in it

The odds that a carton of eggs will have at least one cracked egg is 97.5 %

The question has to do with probability

Probability is the likelihood for an event to occur. It is given by P(event) = number of required outcomes/total number of possible outcomes.

Given that the probability that a carton of eggs taken from the cooler at a store will have at least one cracked egg is 2.5%. Let the probability of at least one cracked egg be P(egg ≤ 1) = 2.5% = 0.025

Now, since we require the probability of  that a carton of eggs will have at least one cracked egg, that is the number of cracked is greater than 1.

Let the probability of cracked eggs greater than 1 be P(egg ≥ 1).

From the law of probability

P(egg ≤ 1) + P(egg ≥ 1) = 1

So,  P(egg ≥ 1) = 1 -  P(egg ≤ 1)

P(egg ≥ 1) = 1 -  0.025

P(egg ≥ 1) = 0.975

P(egg ≥ 1) = 0.975 × 100 %

P(egg ≥ 1) = 97.5 %

So, the odds that a carton of eggs will have at least one cracked egg is 97.5 %

Learn more about probability here:

https://brainly.com/question/25839839

#SPJ4