What is the value of x

What Is The Value Of X

Answers

Answer 1

Answer:

x = 3

Step-by-step explanation:

[tex] \frac{24}{32} = \frac{9x - 9}{6x + 6} \\ \frac{3}{4} = \frac{3(3x - 3)}{3(2x + 2)} \\ \frac{3}{4} = \frac{(3x - 3)}{(2x + 2)} \\ 4(3x - 3) = 3(2x + 2) \\ 12x - 12 = 6x + 6 \\ 12x - 6x = 6 + 12 \\ 6x = 18 \\ x = \frac{18}{6} \\ x = 3[/tex]


Related Questions

Solve for x
a 2.2
b 5.4
c 6.5
d 7.2

Answers

Answer:

D

Step-by-step explanation:

Given that the segment is an angle bisector then the ratio of sides and base are equal, that is

[tex]\frac{10}{4}[/tex] = [tex]\frac{18}{x}[/tex] ( cross- multiply )

10x = 72 ( divide both sides by 10 )

x = 7.2 → D

Matt Bonner has 8 dimes, 9 pennies, and 4 quarters in his pocket. If each coin is equally likely to be pulled out of his pocket in order without replacement, what is the probability that he will pull out the 2 quarters in a row and then 2 pennies? ***There are 4 total draws!!!! *
32/7203
0.602%
0.89%
0.44%

Answers

Answer:

B. 0.602%

Step-by-step explanation:

Probability is essentially (# times specific event will occur) / (# times general event will occur). Here, we have a few specific events: draw a quarter, draw a second quarter, draw a penny, and draw another penny. The general event will just be the number of coins there are to choose from.

The probability that the first draw is a quarter will be 4 / (4 + 8 + 9) = 4/21.

Since we've drawn one now, there's only 21 - 1 = 20 total coins left. The probability of drawing a second quarter is: (4 - 1) / (21 - 1) = 3/20.

The probability of drawing a penny is: 9 / (20 - 1) = 9/19.

The probability of drawing a second penny is: (9 - 1) / (19 - 1) = 8/18.

Multiply these four probabilities together:

(4/21) * (3/20) * (9/19) * (8/18) = 864 / 143640 ≈ 0.602%

The answer is B.

Answer:

0.602%

Step-by-step explanation:

Total coins:

8+9+4 = 21

Quarter, Quarter, Penny, Penny:

4/21 × 3/20 × 9/19 × 8/18

4/665 × 100

0.6015037584%

The systolic blood pressure readings of customers at a 24-hour gym franchise are normally distributed with a mean of 122 and a standard deviation of 15. Find the z-score corresponding to the following blood pressure reading.

A blood pressure score of 77 has a z-score of:

Answers

Answer:

the answer is -3

Step-by-step explanation:

To find the z-score corresponding to a blood pressure reading, you would use the formula:
[ z =fraction{(X -mu)}{sigma}]

where:
- \( X \) is the value for which you're calculating the z-score,
- \( \mu \) is the mean of the population, and
- \( \sigma \) is the standard deviation of the population.
Given the values from the question:
- \( X = 77 \) (the blood pressure score for which we're finding the z-score),
- \( \mu = 122 \) (the mean systolic blood pressure reading),
- \( \sigma = 15 \) (the standard deviation of the systolic blood pressure readings).
Now we can plug these values into the formula:
[ z = \fraction{(77 - 122)}{15} \]
[ z = \fraction{-45}{15} \]

[ z = -3 \]
So, the z-score corresponding to the blood pressure reading of 77 is -3. This means that a reading of 77 is 3 standard deviations below the mean systolic blood pressure reading for customers at the gym franchise.

Which function is graphed here?

Answers

Answer:

B

Step-by-step explanation:

B is the function graphed

Do perpendicular lines always have a slope that are negative reciprocals. Explain your answer

Answers

Answer:

Yes. parallel lines are known to have the same slope, but perpendicular lines will always have negative-reciprocal slopes.

This holds true for all lines that are not vertical or horizontal

This holds true for all lines that are not vertical or horizontal. A horizontal line has a slope of 0, and a vertical line has an undefined slope. These lines are perpendicular, but the rule of negative reciprocals does not apply because you cannot divide by zero.

Let’s prove that the product of the slopes of two perpendicular lines is -1.

Let’s consider two lines, Line 1 and Line 2, that are perpendicular to each other.

Line 1: Let’s say the slope of Line 1 is m1.

Line 2: Now, let’s consider Line 2 which is perpendicular to Line 1. Let’s say the slope of Line 2 is m2.

Since Line 1 and Line 2 are perpendicular, the angle between them is 90 degrees. Now, the tangent of the angle between two lines is equal to the absolute difference of their slopes divided by 1 plus the product of their slopes.

tan(90) = |m1 - m2| / (1 + m1*m2)

But we know that tan(90) is undefined, which implies that the denominator of the right side of the equation must be zero.

So, 1 + m1*m2 = 0, which implies that m1*m2 = -1.

Therefore, we have proved that the product of the slopes of two perpendicular lines is -1.

what kinds of arcs does the circle have

Answers

Answer:

You can divide a circle into smaller portions. A part of a circle is called an arc and an arc is named according to its angle. Arcs are divided into minor arcs (0° < v < 180°), major arcs (180° < v < 360°) and semicircles (v = 180°). When diameters intersect at the central of the circle they form central angles.

Step-by-step explanation:

Answer:

You can divide a circle into smaller portions. A part of a circle is called an arc and an arc is named according to its angle. Arcs are divided into minor arcs (0° < v < 180°), major arcs (180° < v < 360°) and semicircles (v = 180°). When diameters intersect at the central of the circle they form central angles.Arc Of A Circle. The arc of a circle is a portion of the circumference of a circle. Measure an arc by two methods: 1) the measure of the central angle or 2) the length of the arc itself.

Step-by-step explanation:

(happy to help)

The radius of a circle is 3 kilometers. What is the circle's circumference?
r=3 km
Use 3.14 for ​. helpp please!!!!

Answers

Answer:

18.84 km

Step-by-step explanation:

The formula for the circumference is 2πr. 6.28*3=18.84

Please mark as Brainliest! :)

Have a nice day.

Final answer:

The circumference of the circle is approximately 18.84 kilometers.

Explanation:

The circumference of a circle is calculated using the formula C = 2πr, where r is the radius of the circle.

In this case, the radius of the circle is given as 3 kilometers.

So, the circumference of the circle is C = 2π(3) = 6π kilometers.

To find a numerical approximation for π, we can use the value 3.14.

Therefore, the circumference of the circle is approximately C = 6(3.14) = 18.84 kilometers. This calculation demonstrates a practical method to assess the distance around a circle based on its radius, providing a tangible measurement for the circle's outer boundary in a real-world context.

Which measurement is shorter?

6 kilometers or 5,500 meters?

Answers

the answer is 6 kilometers because 1kilometer=1000 meters

The answer is 5500 meters.

i.e. 5500 meters is shorter than 6 km.

What is measurement?

Measurement is the quantification of attributes of an object or event, which can be used to compare with other objects or events. In other words, measurement is a process of determining how large or small a physical quantity is as compared to a basic reference quantity of the same kind.

Here, we have,

6 kilometers=6000m.

because, 1 kilometer=1000 meters

6000>5500

Hence,  5500 meters is shorter than 6 km.

To learn more on measurement click:

brainly.com/question/13450942

#SPJ2

Hi! 6=3+b? please help me

Answers

Answer:

b = 3

Step-by-step explanation:

All you need to do is subtract 3 from both sides, like so:

6 = 3 + b

-3  -3

________

3 = b

Answer:

B = 3

Step-by-step explanation:

6  =  3 + b, subtract the 3 from 6

6 - 3 = b

3 = b

factor: -12n - 20
a.4(3n+5)
b. -4(3n + 5)
c. -4(3n - 5)
d. 4(3b-5)

Answers

Answer: B.  −4(3n+5)

Step-by-step explanation:

Factor out the common term 4.

−4(3n+5)

PLEASE HELPPPPPPPP ME

Answers

Answer:

12.87

Step-by-step explanation:

If the angle of depression is 25, then the angle of elevation is also 25.

You need to use tangent for this problem. (opposite and adjacent sides)

Use tan(25)= 6/x

Divide 6 by tan(25) = 12.87

the largest possible sum of 4 unequal numbers, none greater than 100, is A. 380 B. 388 C. 390 D. 394

Answers

Answer:

390

Step-by-step explanation:

99+98+97+96=390

Answer:

394

Step-by-step explanation:

The largest number is 100 since it says none greater than 100.  We can have 100

The next number is 99 since it is not equal to 100 and is the next largest number

The next number is 98 since it is not equal to 100 or 99 and is the next largest number

The last number is 97 since it is not equal to 100 or 99 or 98 and is the next largest number

The sum of the 4 numbers is

100+99+98+97 =394

Create the inequality that describes the scenario.

Answers

Answer:

y<.73x+2

Step-by-step explanation:

Final answer:

To create an inequality that describes a scenario, you need to identify the relationship between two metric measurements. You can represent this inequality using appropriate symbols and sketch a graph to visualize the scenario.

Explanation:

To create an inequality that describes the scenario, you need to identify the relationship between two metric measurements.

For example, let's say we have two cars and we want to describe the age of one car relative to the other.

If Car A is at most 5 years old, we can represent this inequality as age of Car A ≤ 5.

To sketch the graph, you would plot the age of Car A on the x-axis and shade the area that represents Car A being at most 5 years old.

What is the mean absolute deviation of Robin's
scores?
Robin's
Scores
99
108
102 107 119
MAD-8
8 + 1 + 5 + 0 + 12
Distance
from the 81 50 12
Mean

Answers

Answer:

5.2

Step-by-step explanation:

Answer:

5.2

Step-by-step explanation:

just did it

Use the graph to complete the statement
The triangle at the top of the graph is a reflection of the
triangle at the bottom
Over what line is the triangle reflected?
The triangle is reflected over line

Answers

here is the graph for anyone needing it and the answer is C

please help!!!!!! A rectangle and a parallelogram have the same base and the same height. How does the area of the parallelogram compare to the area of the rectangle? Explain.

Answers

Answer:

Equal Areas

Step-by-step explanation:

Area of a Rectangle =Base X Height

Area of a Parallelogram =Base X Height

If the rectangle and a parallelogram have the same base and the same height, then their areas are equal.

Take for an example,

A rectangle with a base of 5 cm and a height of 6cm

Area of the Rectangle =5*6=30 Square Centimeters.

For a parallelogram with same base and height

Area of the parallelogram =5*6=30 Square Centimeters,

Final answer:

A rectangle and a parallelogram with the same base and height have equal areas as both can be calculated using the formula Base x Height = Area, disregarding the shape's orientation.

Explanation:

A rectangle and a parallelogram with the same base and height will have the same area. This is because the area of both shapes can be calculated by multiplying their base by their height. For the rectangle, this is straightforward as the height is perpendicular to the base. In the case of a parallelogram, the height is also considered perpendicular to the base, but it might be oriented at an angle relative to the base's length. Despite these differences in shape orientation, the calculation Base x Height = Area still applies, resulting in equal areas if the base and height measurements are the same.

A room contains 2 parrots, 2 dogs, 1 cat, and 3 turtles. One animal is chosen at random. What is the probability that the animal chosen is a bird?
30 %
25 %
20%
40%

Answers

Answer:

25%

Step-by-step explanation:

There are 2 parrots out of 8 animals. Probability is 2/8 or 1/4 or 25%

How do lichens weather rock?

Answers

Answer:

Biological weathering is the actual molecular breakdown of minerals. There are things called lichens (combinations of fungi and algae) which live on rocks. Lichens slowly eat away at the surface of rocks. The amount of biological activity that breaks down minerals depends on how much life is in that area

Step-by-step explanation:

Mr.fox purchased 3,648 candies and divided them Into treat bags of 14 pieces, how many treat bags was he apple to make

Answers

Answer:

260

Step-by-step explanation:

divide 3,648 by 14

this equals 260.57

Because he is putting the same amount of candy in each bag, you would round down. He is not going to put a fraction of candy in a bag so he would be able to make 260 bags with some candy left over.

Therefore, Mr. Fox was able to make 260 treat bags with 14 pieces of candy in each.

To solve the problem, we need to determine how many treat bags of 14 pieces each can be made from 3,648 candies. This is a simple division problem where the total number of candies is divided by the number of candies per treat bag.

Here is the step-by-step solution:

1. Start with the total number of candies Mr. Fox has, which is 3,648.

2. Determine the number of candies per treat bag, which is given as 14.

3. Divide the total number of candies by the number of candies per treat bag to find out how many treat bags can be made.

4. Perform the division: [tex]\( \frac{3,648}{14} = 260 \)[/tex].

Mr. Fox was able to make 260 treat bags.

In a room of 500 high school students, 80% reported planning to attend college. How many of the students are planning to attend college?

Answers

Answer:

500 x 0.8 = 400 would be your answer

Step-by-step explanation:

I see this website is called brainly am i allowed to be here if i don't have a brain?????

Answers

Answer:

no you are definetly not allowed

Step-by-step explanation:

because if you dont have a brain you are certainly not educated

Answer:

What type of question is that?

Brainly is a platform where students and other educators gain knowledge while distributing old knowledge to people who need it. If you don't have a brain then I don't know what to tell you but get some help.

what is the area of the triangle in units

Answers

the area is 14 units squared.

7x4 = 28
28 divided by 2 = 14

Answer:

14

Step-by-step explanation:

4 times 7 (28) divided by 2 (14)

The area of a triangle is base times height times 1/2

The two box-and-whisker plots below represent the distribution of shoe sizes for a group of 40 two-year-old boys and a group of 80 three-year-old boys.



What is the difference of the interquartile ranges of the box-and-whisker plots?

0
0.5
1
1.5

Answers

Answer: Choice B)  0.5

=============================================================

Explanation:

For now, focus solely on the orange boxplot. The first quartile Q1 is the left edge of the box, which is at 3.5; while the value of Q3 is 7.5 (right edge of the box). The interquarile range (IQR) is ...

IQR = Q3 - Q1

IQR = 7.5 - 3.5

IQR = 4

This is basically the width of the box. Ignore the whiskers when it comes to the IQR.

Let A = 4 as we'll use it later.

---------------------------------

Find the IQR for the blue box plot

Q1 = 6 = left edge of the blue box

Q3 = 9.5 = right edge of the blue box

IQR = Q3 - Q1

IQR = 9.5 - 6

IQR = 3.5

Let B = 3.5 as we'll use it later

---------------------------------

Subtract the values of A and B to find the difference of the IQR values

A - B = 4 - 3.5 = 0.5

What is the mean absolute deviation of the data set? 8, 5, 12, 4, 5, 8, 7
a.1
b.2
c.5
d.7

Answers

Answer:

The MAD is: 2

Step-by-step explanation:

First, you add all the terms together. So we get 49.

Then, we divide 49 by the amount of terms. There are 7 terms, so we do 49/7.

We get 7. Now we have to find out the distance between each point and the mean, which is seven.

8-7= 17-5= 212-7=57-4=37-5=28-7=17-7=0

Now, we add all the distances together. We get 14.

Now, we divide 14 by the amount of terms, which is 7. 14/7 is 2.

The answer is b.

The correct option is b. The mean absolute deviation of the data set is 2.

To find the mean absolute deviation (MAD) of the data set [tex]\(\{8, 5, 12, 4, 5, 8, 7\}\)[/tex], follow these steps:

1. Calculate the mean (average) of the data set.

[tex]\text{Mean} = \frac{\sum \text{data points}}{\text{number of data points}} \\\\\text{Mean} = \frac{8 + 5 + 12 + 4 + 5 + 8 + 7}{7} = \frac{49}{7} = 7[/tex]

2. Find the absolute deviations from the mean for each data point.

[tex]|8 - 7| &= 1 \\|5 - 7| &= 2 \\|12 - 7| &= 5 \\|4 - 7| &= 3 \\|5 - 7| &= 2 \\|8 - 7| &= 1 \\|7 - 7| &= 0 \\[/tex]

3. Calculate the mean of these absolute deviations.

[tex]\text{Mean Absolute Deviation} = \frac{\sum \text{absolute deviations}}{\text{number of data points}} \\\\\text{Mean Absolute Deviation} = \frac{1 + 2 + 5 + 3 + 2 + 1 + 0}{7} = \frac{14}{7} = 2[/tex]

So, the mean absolute deviation of the data set is: b. 2

Help looks like i forgot to read a ruler

Answers

Answer:

12 1/2

Step-by-step explanation:


Simplify.

(4x3y−6)(2xy6)
A) 8x3
B) 8x3y−1
C) 8x4
D) 8x4y−1

Answers

Answer:

C

Step-by-step explanation:

In Antarctica, the air temperature is -5 degrees F. The temperature of the nearby water is 33 degrees F. How much colder is the air than the water?\

Answers

it’s 38 degrees colder i think

Answer:

The air is 38 degrees colder.

Step-by-step explanation:

To solve for this we must understand "key words" to understand which operation we are doing. The words in this are "how much colder" this signifies we must do subtraction.

33 - (-5) = 38.

The air is 38 degrees colder.

X =
3) Solve by completing the square.
(3 poir
x2 + 4x - 59 = 0

Answers

Answer:

9.83

Step-by-step explanation:

x2 + 4x- 59 = 0 +59

x2 + 4x = 59

6x=59

6x/6 = 59/6

x=9.83

What is the value of x? A) 6 B) 8 C) 10 D) 12

Pls help ?

Answers

I don’t know the answer, sorry. I made this post on accident.

Female Height: Mean-63.6 Standard Deviation- 2.5

How tall is Carrie if 2.5% of women are shorter than her?

Answers

Answer:

???

Step-by-step explanation:

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