The width of a sandbox is represented by x+5. The length of the sandbox is double the width. Determine an expression that would represent the area of the sandbox.

The statement that best supports the information in the box plots is: D. the interquartile range value of the data for men 20 - 40 years old is greater than that of men of 50 - 70 years old.

The interquartile range of a data set is the difference between the values that are located on both edges of the rectangular box that is displayed in a box plot.

Interquartile range for the men between 20 - 40 years old = 150 - 110 = 40

Interquartile range for the men between 50 - 70 years old = 125 - 95 = 30

This shows that, D. the interquartile range value of the data for men 20 - 40 years old is greater than that of men of 50 - 70 years old.

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Answer:

34.8

Step-by-step explanation:

36-1.2 = 34.8

Step-by-step explanation:

The ONE  solution to this system of two lines is the point where the two lines cross   at   (1,4)

The matrix representation of M^2 is: A. M^2 = [49 -4]

                                                                              [ 0 9]

Therefore, option A. M^2 = [49 -4]  is correct.

                                              [ 0 9]

To find the matrix representation of M^2 (M squared), we need to multiply matrix M by itself.

Given matrix M:

M = [-7 1]

      [ 0 3]

To compute M^2, we multiply matrix M by itself as follows:

M^2 = M * M

Using matrix multiplication, we can calculate each element of the resulting matrix:

M^2 = [(-7 * -7) + (1 * 0) (-7 * 1) + (1 * 3)]

          [(0 * -7) + (3 * 0) (0 * 1) + (3 * 3)]

Simplifying the calculations:

M^2 = [49 -4]

           [ 0 9]

Therefore, the matrix representation of M^2 is:

M^2 = [49 -4]

           [ 0 9]

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In algebra, "seven times a number" is written as 7x, which is the multiplication of seven instances of the symbol x.

An equation that includes constants, variables, and a few algebraic operations is said to be algebraic. A good example of an algebraic expression is 3x2 2xy + d. So, three different types of fundamental building blocks make up an algebraic expression: Coefficient (i.e. numbers) (i.e. numbers)

A seven-times-a-number is represented by multiplying it by seven or adding it to another integer (since this is an abbreviated successive addition ).

If x is any number, then it may be written as follows seven times: Algebraic expressions (numbers or letters) are linked by fundamental operations including addition, subtraction, multiplication, and division in mathematical language.

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Complete question -

Seven times a number in algebraic expression

The term that can be added to the list so that the greatest common factor of the three terms  12h3 36h3, 12h6, is 48h5

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.

The term that  can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12  without any  fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

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Answer:

= 3+12

= 15

Step-by-step explanation:

first you have to do the bracket one and only do remaining ok

It equals 15 use pemdas and you'll have your answer in no time

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Let's solve for value of values of x and y ~

According to Angle sum property of triangles :

\(\qquad \sf  \dashrightarrow \: 70 \degree + 58\degree + x = 180\degree\)

\(\qquad \sf  \dashrightarrow \: x\degree + 128\degree = 180\degree\)

\(\qquad \sf  \dashrightarrow \:x = 180\degree - 128\degree\)

\(\qquad \sf  \dashrightarrow \: x = 52\degree\)

Now, solve for y ~

\(\qquad \sf  \dashrightarrow \: 70\degree + 49\degree + y = 180\degree\)

\(\qquad \sf  \dashrightarrow \: y + 119 = 180\degree\)

\(\qquad \sf  \dashrightarrow \: y = 180 - 119\degree\)

\(\qquad \sf  \dashrightarrow \: y = 61 \degree\)

Now, by the results we got, we can conclude that :

The two triangles are not similar because 70 + 58 + x = 180 means x = 52° and 70 + 49 + y=180 means y = 61°

» Let's solve for value of values of x and y

⛥Solve for \(x\) :

\(⟿70° +58° + x = 180°\)

\(⟿x + 128° = 180°\)

\(⟿x = 180° - 128°\)

\(⟿x = 52°\)

⛥Solve for \(y\) :

\(⟿70° +49° + y = 180°\)

\(⟿y+119 = 180°\)

\(⟿y = 180 - 119°\)

\(⟿y = 61°\)

The two triangles are not similar because

70 +58 + x = 180 means x = 52°

70 + 49 + y = 180° means y = 61°

Answer:

x = 16

Step-by-step explanation:

sqrt x   + 3  = 2 sqrt x - 1         subtract sqrt x from both sides

3    =   sqrt x   -1                    add 1 to both sides

4 = sqrt x               square both sides

16 = x

Answer:

a)10

Step-by-step explanation:

Answer:

A'(4, -3) ; T'(-1, 4)

Step-by-step explanation:

Multiply the coordinates by 1/2, or divide them by 2 to get the new points.

A(8, -6) ⇒ A'(4, -3)

T(-2, 8) ⇒ T'(-1, 4)

Slope intercept form has the general form of y = mx + b, where m is the slope and b is the y-intercept.

You are given the y-intercept with the point (0, -10). Thus, the y-intercept is -10.

You are also given the slope of 1.

Next, just plug your numbers in!

y = 1x - 10

y = x - 10

Hope this helped!

Answer:

10 hamsters and 6 rabbits

Step-by-step explanation:

if you take 10x15 for the hamsters you get $150 and then if you take 25x6 you get $150 for the rabbits then add those two numbers and you get $300.

The solution to the given addition problem is 150.6 ft^9.

Converting everything to the same unit is the simplest solution to this problem.

The conversions are:

1 cubic yard = (27 cubic feet)

1 cubic inch = (0.000578704 cubic feet)

The addition can be performed as,

(6 cu yd × 9 cu ft × 134 cu in) + (1 cu yd × 12 cu ft × 200 cu in)

=  [6(27 cu ft) × 9 cu ft × 134(0.000578704 cu ft)] + [1(27 cu ft) × 12 cu ft × 200(0.000578704 cu ft)]

= 150.6 ft^9

The result of the addition is 150.6 ft^9.

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The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of periods is given as follows:

5 + 6 + 4 = 15.

The frequency of each class is given as follows:

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Answer:

58 members of the House of Representatives, and 28 members of the senate.

Step-by-step explanation:

We can find the answer to this by simply subtracting:

86 - 58 = 28

So, there are 58 members of the House of Representatives, and 28 members of the senate.

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The first question:

"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"

Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.

To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:

P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.

Therefore, the probability of landing on both region three and region six is 1/64.

The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.

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The second question:

"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"

To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.

The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.

The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.

To find the probability of either event occurring, we add the probabilities together:

P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.

Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.

The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.

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The third question:

"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"

To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.

The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.

The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.

To find the probability of either event occurring, we add the probabilities together:

P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.

Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.

The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.

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The fourth question:

"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"

The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.

The probability of rolling an even number on the die is 3

/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.

To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:

P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.

Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.

The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.

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Answer:

Dear user,

Answer to your query is provided below

Probability = 13/16

Step-by-step explanation:

Total no. Of outcomes = 16

No. Of prime of even = 13

Prime number = 11,13,17,19,23

Even number = 10,12,14,16,18,20,22,24

Probability = 13/16

The correct answer would be-13/15=0.86

To find the integers we would use probability concept.

What is probability?

it is basically the chance that a given event will occur. i.e. the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

probability=favorable outcome/total outcome

here in the question, total outcome= 15(25-10)

and favorable outcome= total prime outcome+ total even outcomes

prime number between 10-25 are- 11,13,17,19,23

even numbers are- 10,12,14,16,18,20,22,24

so, total favorable outcome= 5+8=13

probability that it is either prime or even number=13/15=0.86

Hence the correct answer is- 13/15=0.86

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The minor arcs of the circle C are given as follows:

The arcs of a circle can be classified as minor arcs or major arcs, depending on their angle measures, as follows:

The entire circumference of the circle is of 360º, hence we have that segment LN, connecting two points on the circumference of the circle through the center, represents the diameter of the circle, with an arc length of 180º.

Hence the minor arcs are all the arcs that are smaller than LN, given as follows:

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Answer:

24 ft²

Step-by-step explanation:

1/2x12x4=24 ft²

Answer:

what's that

Step-by-step explanation:

Answer:

d² - 24d + c = (d - 12)² - 144 + c

Therefore, the total angle measure of 4 parts of a circle divided into 8 equal parts is 180 degrees.

A circle is a two-dimensional shape that is defined as a set of points in a plane that are equidistant from a fixed point called the center. The distance from the center to any point on the circle is called the radius, and the distance across the circle through the center is called the diameter. The circumference of a circle is the distance around the edge of the circle, and it is given by the formula C = 2πr, where π (pi) is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle. Circles are a fundamental concept in geometry and are used in many fields of mathematics, science, and engineering.

A circle has 360 degrees, and it is divided into 6 equal parts. To find the total angle measure of 1 part, we can divide 360 by 6:

360 degrees ÷ 6 = 60 degrees

Therefore, each part of the circle has an angle measure of 60 degrees.

Similarly, if the circle is divided into 5 equal parts, each part will have an angle measure of:

\(360 degrees / 5 = 72 degrees\)

To find the total angle measure of 4 parts, we can multiply 72 degrees by 4:

\(72 degrees * 4 = 288 degrees\)

Therefore, the total angle measure of 4 parts of a circle divided into 5 equal parts is 288 degrees.

If a circle is divided into 8 equal parts, each part will have an angle measure of:

\(360 degrees / 8 = 45 degrees\)

To find the total angle measure of 4 parts, we can multiply 45 degrees by 4:

\(45 degrees / 4 = 180 degrees\)

Therefore, the total angle measure of 4 parts of a circle divided into 8 equal parts is 180 degrees.

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According to the angles between intersecting secant and tangent, the value of

angle DF is 52 degrees

angle PQR = 49 degrees

The value of angle DF is solved using the angles of intersecting secant out side the circle

The theorem give the formula in the form

44 = 1/2 (140 - DF)

88 = 140 - DF

DF = 140 - 88

DF = 52 degrees

Using intersection of tangents, for the second figure

exterior angle = 1/2 (major arc - minor arc)

major arc = 360 - 131 = 229

PQR = 1/2 (229 - 131)

PQR = 49 degrees

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The selling price of the item at 10% marlkup is $55

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

Selling price = Cost To Store * (1 + Markup)

substitute the known values in the above equation, so, we have the following representation

Selling price = 50 * (1 + 10%)

Evaluate

Selling price = 55

Hence the selling price of the item is $55

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Answer:

Check attachment.

Step-by-step explanation:

I graphed it.

Answer: The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25

Step-by-step explanation: irst, we calculate the amount of discount that is applied to the original price:

30% of $1199 = 0.3 x 1199 = $359.70

So, the discounted price is:

$1199 - $359.70 = $839.30

Next, we apply the additional 10% off coupon to this discounted price:

10% of $839.30 = 0.1 x $839.30 = $83.93

The final price after the coupon is applied is:

$839.30 - $83.93 = $755.37

Finally, we calculate the sales tax on this final price:

7% of $755.37 = 0.07 x $755.37 = $52.88

The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25