what is the value of x, when -2(2+3(x+5))=-64?​

Answer:

9. m<10 = 69 degrees, same as m<5

10. m<6 = 115, same as m<9

11. m<7 =118, same as m<12

12. m<11 = 108, (180-72 = 108)

13. m<14 = 66, (190-114=66)

14. m<12 = 86, same as m<5

Step-by-step explanation:

Answer:

Area of the composite figure = 84 in²

Step-by-step explanation:

Area of the composite figure = Area of rectangle DEFG + Area of rectangle BCGH + Area of triangle ABH

Area of rectangle DEFG = DE × EF

                                        = 5 × 10

                                        = 50 in²

From ΔBHA,

AB = ED = 5 in [Given]

AH = FA - (GH + FG)

     = 15 - (7 + 5)

     = 15 - 12

     = 3 in.

By applying Pythagoras theorem in ΔABH,

AB² = HB² + AH²

5² = HB² + 3²

25 - 9 = HB²

HB = √16

HB = 4 in

Area of rectangle BCGH = BC × HB

                                         = 7 × 4

                                         = 28 square in.

Area of triangle ABH = \(\frac{1}{2}(\text{Height})(\text{Base})\)

                                   = \(\frac{1}{2}(BH)(AH)\)

                                   = \(\frac{1}{2}(4)(3)\)

                                   = 6 in²

Therefore, area of the composite figure = 50 + 28 + 6

                                                                  = 84 in²

The range of the data is the difference between the highest and lowest values, which is 8 inches. Adding another plant with a height of 14 inches would not change the range, so the range would remain 8 inches.

Data is a collection of facts, figures, or information that can be processed and used to draw conclusions or make decisions. It can be stored in a variety of formats, including numerical, text, images, audio, and video. Data can be collected from a variety of sources, such as surveys, observations, experiments, or transactions. It can be used to inform decisions in areas such as business, health care, education, and research. Data can be analyzed to gain insight, develop strategies, identify trends, and make predictions. Data is a valuable resource and is increasingly important in today's digital age.

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Answer:

3

Step-by-step explanation:

7*1/x+2/3=3

7*1/x=3-2/3=7/3

1/x=7/3 / 7 = 1/3

1/x=1/3

x=3

Answer:

9 rectangular tables and 7 sqaure tables

Step-by-step explanation:

9 x 8 = 72

100-72=28

4x7=28

The mode of the data represented in this line plot will be 8.

Simply counting how several times each number looks in the data set can help you identify the mode, which is the integer that repeats the most frequently in the collected data. The figure with the largest total is the mode.

The value that appears the most frequently in data collection is its mode. By examining the line plot, we can observe that the number 8 and the six Xs above it are the most commonly occurring values. Consequently, 8 represents the data set's mode.

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Answer:

8 in

Step-by-step explanation:

\(b=\sqrt{10^2-6^2}=\sqrt{100-36}=\sqrt{64} = 8\)

The statement f⁻¹(x) has a y-intercept of (0, –36) and f⁻¹(x) has a range of all real numbers options third and fifth are correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The question is: Consider the function f(x) = (-2/3)x - 24  Which conclusions can be drawn about f⁻¹(x) Select two options:

f⁻¹(x) has a slope of -2/3

f⁻¹(x) has a restricted domain.

f⁻¹(x) has a y-intercept of (0, –36).

f⁻¹(x) has an x-intercept of (–36, 0).

f⁻¹(x) has a range of all real numbers.

f(x) = (-2/3)x - 24

To find the inverse of a function:

interchange the x and y

x = (-2/3)y - 24

y = (-3/2)(x + 24)

y = (-3/2)x - 36

The slope of a function f⁻¹(x) is -3/2

From the graph, we can see the y-intercept is (0, -36) and the range will be all real numbers.

Thus, the statement f⁻¹(x) has a y-intercept of (0, –36) and f⁻¹(x) has a range of all real numbers options third and fifth are correct.

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Answer:

D and  E

Step-by-step explanation:

did the test

There are 9444 men and 24555 females are present.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

Total students = 34000

For every 5 male students there are 13 female students.

So, the number men are

= 5/18 x 34000

= 9444

and, number of women

= 13/ 18 x 34000

= 24, 555.

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The question attached here is in other language whose translation is given below.

In a school for every 5 male students there are 13 female students. If the total number of students is 34,000, how many men and women are there?

Answer:

12x+20

Step-by-step explanation:

2(5x+2)+2(x+8)

or (simplified)

10x+4+2x+16=12x+20

Answer:

12x+20

Step-by-step explanation:

5x+2+x+8+5x+2+x+8

12x+20

☽------------❀-------------☾

Hi there!

~

This question struck a chord with me as a highscooler. I never refer to the symbol x as an operator for multiplication because it too closely resembles a variable x. I only use a dot while indicating multiplication of two real numbers. Once students reach Algebra, the need for that is also limited.As far as the history goes, here's what I found: “Today elementary school students use the symbol × for multiplication. William Oughtred (1574-1660), a clergyman who gave free private lessons to pupils interested in mathematics, used the symbol × for multiplication. He also invented 150 other symbols. The × symbol was not readily accepted though. Gottfried Wilhelm Leibniz (1646-1716) thought it resembled the unknown x too much. Thomas Harriot (1560-1621) used the dot (·) for multiplication. This was not used much either until Leibniz adopted it.” It's no surprise that Leibniz was instrumental in the popularization of this notation, as much of the notation we use in Calculus was also developed by Leibniz. In short, there is no difference. Multiplication is a natural operation in mathematics and has just been symbolized in different people in different ways in different periods of time.

Hence they are both easy to use.

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

Katherine is 27 years old.

Step-by-step explanation:

44-17=27.

Answer:

27

Step-by-step explanation:

44 age of Joe

-17 years younger

______________

27 years of age

Answer:

Step-by-step explanation:

A short web search will turn up the authors of the given titles:

  The Old Man and the Sea - Hemingway

  Huckleberry Finn - Twain

  Moby D.ick - Melville

  1984 - Orwell

  Crime and Punishment - Dostoevsky

Answer:

Each student must raise $13.50

Step-by-step explanation:

490-220=270 left to raise

270÷20=13.50

1) In this problem, we need to keep in mind that the cosecant is reciprocal to the sine function.

2) Thus, we can write out the following:

Note that we have then undefinition, for no number can be divided by 0.

The answer is:

Answer:

11.75, 2.9375

12, 3

12.48, 3.12

Step-by-step explanation:

First, let's go over what they want us to do.

Boring but brief history lesson of geometry:

In the beginning of the history of geometry and circles, mathematicians would find the approximate circumference of circles by drawing polygons inside of circles and finding the perimeter of that polygon. In other words, the approximate circumference of the circle about the perimeter of the shape. The more side lengths there are, the smaller each side is, and the closer the perimeter is to the actual circumference (more on this later)

Problem 1:

The pentagon has a side length of 2.35, so the perimeter is 5 * 2.35 = 11.75

Thus, the approximate circumference is 11.75.

The diameter of a circle is r * 2, or 4, so the ratio of the circumference to the diameter is 11.75 / 4, or 2.9375

Problem 2:

The hexagon has a side length of 2, so the perimeter is 6 * 2 = 12. Thus, the approximate circumference is 12.

The ratio of the circumference to the diameter is 12 / 4, or 3.

Problem 3:

The dodecagon (12 sided shape) has a side length of 1.04, so the perimeter is 12 * 1.04 = 12.48.

The ratio of the circumference to the diameter is 12.48 / 4 = 3.12

Although we are done, let's ~circle~ back (sorry for the pun) to the idea that this exercise is trying to tell us.

The circumference of a circle is 2πr (which is also equal to the diameter times pi). So in this example, the circumference should be 2 * π * 2, or 4π. π is approximately 3.14159, so 4π is about 12.56636. And the ratio of this to the diameter (which is 4) is, if you look at how we got 4π, should be π no matter what.

Note: the definition of π is the ratio of a circles circumference to its diameter, so this makes sense.

Do you see how the approximate circumferences are slowly getting closer to the actual circumference of 12.56?:      11.75, 12, and 12.48

Look at the progression of approximate circumferences / diameter:  2.9375, 3, 3.12. These are slowly getting closer to π (3.14)

As you can see, the more sides, and the more "circular" the shape becomes, the closer the polygon/approximate circumference is to an actual circle.

I hope this helps! Feel free to ask any questions! :)

In case whereby Jake rides his bicycle 6 miles in 3/5 of an hour. At this rate, the number of miles could he ride in 3 hours is 30 miles

The distance = bicycle 6 miles

number of hours =3/5 of an hour

then the rate = 6/ (3/5)

Then we can calculate the number of miles with the 6milesi n 3/5 hours  as;

= (6 * 5/3 )

=30/3

=10

Then the rate will be 10 miles in 1 hour , hence the number of miles he will ride in 3hrs

=10 * 3 hours

= 30 miles

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Answer:

y=8.50x+0.25

Step-by-step explanation:

She/he starts off with 8.50 and throughout the week she can earn 0.25 per joke. We don't know how many times a joke is made so it would be an x.

Answer:     b  8.50+0.25 divoide it by 0.25 th3n do the eqathion back words

Part (a)

The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.

\(C(x)=500+1.25x\)

Part (b)

The revenue is the number of slushies sold multiplied by the amount charged per slushie.

\(R(x)=3.50x\)

Using the given histogram, we have that 90% of the players in the sample have scores that are less than 2300.

This problem is incomplete, but researching it on a search engine, we have that the histogram states as follows:

It asks the proportion of players in the sample with scores that are less than 2300.

An histogram is a graph that shows the number of times each element of x was observed.

Above, we already gave the amounts presented by histogram, and we have that 45 out of 50 players have scores that are less than 2300, hence the proportion is given by:

p = 45/50 = 0.9.

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The person doesn't need to stop for gas as the gas will be able to travel the journey.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.

Since the gas tank is 1/4 for your tank as it holds 12 gallons of gas. The full gas will be:

= 12 × 4

= 48 gallons

Since your destination is 90 miles away and it uses 25 mph. The number of hours will be:

= 90 / 25

= 3.6 hours.

The number of gallons needed will be:

= 3.6 × 12

= 43.2

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Answer:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

Step-by-step explanation:

From the given points (negative 2, negative 1), (0, 1), (2, 3), we can determine the domain and range.

The domain represents the set of all possible x-values of the points, and the range represents the set of all possible y-values of the points.

In this case, we can see that the x-values are -2, 0, and 2, and the corresponding y-values are -1, 1, and 3.

Therefore, the correct answer is:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

Answer:

the surface area of the rectangular prism is 572cm².

Step-by-step explanation:

The surface area of a rectangular prism can be calculated using the formula 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height. Plugging in the values you provided, we get:

2 * 4cm * 15cm + 2 * 4cm * 14cm + 2 * 15cm * 14cm = 572 cm²

So the surface area of the rectangular prism is 572 square centimeters.

Answer:

(i) 8b-32

(ii) 7z^3+12z^2-20z

(iii) –q+p

(iv) a+ab

(v) 8x^2y+8xy^2-4x^2-7y^2

(vi) 4y^2-3y

Step-by-step explanation:

The money that would be in the savings account after 21 years is shown by option C

Through the process of accruing interest, money in a savings account can increase. The bank or other financial institution may provide you with an interest rate when you make a deposit into a savings account. The bank will offer you interest as compensation for keeping your funds in the account as a proportion of the amount you have placed.

Given that;

f(t) = \(425(1.025)^t\)

f(t) = \(425(1.025)^21\)

= 713.8

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After solving the equations, we know that a total of 25 ladies attended the party.

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

As in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, and others.

So, take dudes as x and ladies as y.

Now, form the required 2 equations as follows:
2x + y = 45 ...(1)

x + y = 35 ...(2)

Work on equation (2):

x + y = 35

x = 35 - y

Now, substitute x = 35 - y in equation (1):

2x + y = 45

2(35-y) + y = 45

70 - 2y + y = 45

-y = -25

y = 25

Since ladies were charged $1 for each ticket, then 25 ladies attended the party.

Therefore, after solving the equations, we know that a total of 25 ladies attended the party.

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As the ball falls, the velocity of the ball increases with increase in distance

Given Data

It should be noted that when an object falls, it velocity increases from zero to the maximum just before it hits the ground from the initial point of lunch.

Note: For a projectile the ball might reach a zero velocity at maximum height

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Answer:

Step-by-step explanation:Bó tay