Solve for the value of x.

Answer:

Point A

Step-by-step explanation:

Answer:

point A

Step-by-step explanation:

The point A is opposite with the point R and the x-axis is between them.

Answer:

7<x<31

Step-by-step explanation:

The third side of any triangle must be more than the difference between the other two sides.

x>19-12

x>7 (or) 7<x

The third side of any triangle must be less than the sum of the other two sides.

x<19+12

x<31 (or) 31>x

Put them together.

7<x<31 (or) 31>x>7

7<x<31 are the possible values of x.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given that  side lengths of a triangle are 12, 19, and x units.

We need to find the value of x.

We know that the third side of any triangle must be more than the difference between the other two sides.

x is greater than difference of nineteen and twelve

x>19-12

x>7 (or) 7<x

The third side of any triangle must be less than the sum of the other two sides.

x<19+12

x<31 (or) 31>x

From this we get the interval as

7<x<31 (or) 31>x>7

Hence, 7<x<31 are the possible values of x.

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Answer:

1.

Step-by-step explanation:

The equation 8 - 9 + 8 / 4 is given.

When solving equations with multiple signs in them, we need to follow PEMDAS.

Which is an acronym for a series of equations you need to follow in order.

Parenthesis

Exponent

Multiply

Divide

Addition

Subtraction.

So look at the equation, 8 / 4 would be first since it is dividing.

8 / 4

2

8 - 9 + 2

Now when it comes down to the last two of PEMDAS (Addition and Subtraction), we can just solve left to right.

Therefore,

8 - 9

-1

-1 + 2

1

Answer:$2.81

Step-by-step explanation:

1.25 is 100% of the price

125% + 100% = 225%

x = price by august

x = 225% (1.25)

225% = 2.25

2.25(1.25) = 2.8125 ≈ $2.81

Another way to see it:

=

225(1.25) / 100 = 2.8125

This question is incomplete, the complete question is;

he Eco Pulse survey from the marketing communications firm Shelton Group asked individuals to indicate things they do that make them feel guilty (Los Angeles Times, August 15, 2012).

Based on the survey results, there is a 0.39 probability that a randomly selected person will feel guilty about wasting food and a 0.27 probability that a randomly selected person will feel guilty about leaving lights on when not in a room.

Moreover, there is a 0.12 probability that a randomly selected person will feel guilty for both of these reasons.

Required:

a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?

b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?

Answer:

a)

the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both is 0.54

b)

the probability that a randomly selected person will not feel guilty for either of these reasons is 0.46

Step-by-step explanation:

Given the data in the question;

lets A represent person feels guilty about wasting food and B represent leaving the light on when not in room;

probability; feel  guilty about wasting food P(A) = 0.39

probability; feel guilty about leaving light on P(B) = 0.27

probability; feel guilty for both P(A ∩ B ) = 0.12

a)

probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both

p( A ∪ B ) = P(A) + P(B) - P(A ∩ B )

we substitute

p( A ∪ B ) = 0.39 + 0.27 - 0.12

p( A ∪ B ) = 0.54

Therefore, the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both is 0.54

b)

probability that a randomly selected person will not feel guilty for either of these reasons;

p( A ∪ B )' = 1 - p( A ∪ B )

p( A ∪ B )' = 1 - 0.54

p( A ∪ B )' = 0.46

Therefore, the probability that a randomly selected person will not feel guilty for either of these reasons is 0.46

Answer:

The cost of labor per hour is $105.

The expression is 4x + 77 = 497

Step-by-step explanation:

The expression is 4x + 77 = 497, where 4x represents the cost of labor per hour, 77 is the cost of the parts, and 497 is the total.

4x + 77 = 497

4x + 77 - 77 = 497 -77

4x = 420

4x/4=420/4

x = 105

Answer:

39 glasses

Step-by-step explanation:

use proportion:

g = # glasses punch

4/6 = g/26

cross-multiply

4g = 26(6)

4g = 156

g = 39

Answer:

50

Step-by-step explanation:

30 + 100 = 130

130 + 50 = 180

all triangles are 180 degrees, so add it up and subtract.

Answer:

50 degrees will be your answer

Step-by-step explanation:

180-(30+100)=50

180 degrees is the whole angle of a triangle. so we subtract the two sides.

Answer:

− √ ( 9 + y ) 2 > 1

Explanation:

− √ ( 9 + y ) 2 , where  y < − 10

Simplify the expression,

− √ ( 9 + y ) 2 = − ( 9 + y ) = − 9 − y

When  y < − 10 , − y > 10

Subtract  9  from both sides,

− 9 − y > 1  Hence,

− √ ( 9 + y ) 2 > 1

The value of the expression -√(9 + y)² is -9 which is more than -10. So, it is incorrect.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ -√(9 + y)²

Simplify the expression, then we have

-√(9 + y)² = 0

(9 + y) = 0

9 + y = 0

y = - 9

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Answer:

B. 5(2x+5)

Step-by-step explanation:

Factor 5 out of 10x+25. and you get 5(2x+5)

Answer:

B. 5(2x + 5

Step-by-step explanation:

If you have any questions feel free to ask in the comments

Answer:

5 Percent

Step-by-step explanation:

Last week his total sales amounted to $27,650.00, and he received $1,382.50 in commission. His rate of commission is 5 percent.

Answer:

4.21875

Step-by-step explanation:

2.25*1.875 =4.21875

The area of the rectangle is 135/32 or 4 whole number 7/32 whose side measures are 2 whole 1/4 and 1 whole 7/8.

It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

We have side measures of the rectangle:

[tex]\rm a = 2\frac{1}{4} \\\\\rm b = 1\frac{7}{8}[/tex]

The area of the rectangle A is given by:

[tex]\rm A = (2\frac{1}{4} )\times(1\frac{7}{8} )[/tex]

[tex]\rm A = (\frac{9}{4} )\times(\frac{15}{8} )[/tex]

[tex]\rm A = \frac{135}{32}[/tex]  or

[tex]\rm A =4 \frac{7}{32}[/tex]

Thus, the area of the rectangle is 135/32 or 4 whole number 7/32 whose side measures are 2 whole 1/4 and 1 whole 7/8.

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Answer:

12.5

Step-by-step explanation:

0.5x25=12.5. FILLER

Answer:

The median is 6.5

Step-by-step explanation:

To find the median, first organize the numbers from least to greatest:

1, 4, 6, 6, 7, 8, 9, 10

The median is always the number in the middle, but since there are eight numbers here, there will be two numbers in the middle: 6 and 7.

To solve for this, we have to find the average of the numbers.

Add the two numbers together and then divide by 2 (we divide by 2 because we are averaging two numbers).

(6 + 7)/2

13/2

6.5

Answer:

7.8 mi is the answer.

Step-by-step explanation:

a = 6 mi

b = 5 mi

c = ?

According to the Pythagorean theorem,

a² + b² = c²

6² + 5² = c²

36 + 25 = c²

c² = 61

c = 7.810

Round to the nearest tenth,

c = 7.8 mi

Answer:

C-48

Step-by-step explanation:

Around 48 individuals would be required to say that contribution be raised  

Bit by bit clarification:  

Here, we will utilize an instance of a delegate testing to decide the real.  

Out of the 100 chose individuals, 6 said the levy ought to be raised;  

This addresses a level of 6/100 = 6%  

So out of the 800, the normal number of individuals that would request a levy raising will be;  

6/100 * 800 = 48

Answer:

6 inches

Step-by-step explanation:

area = l x w

area = 60

6 x 10 = 60

lenght: 10

width: 6

The width is 6 inches.

Answer:

answer is A

Step-by-step explanation:

slope goes up positive 4 and it crosses the y intercept at 3 so yeg there ya go ig

Answer:

I don't know how to do it the subject

Answer:

B. 6.2

Step-by-step explanation:

The calculation is done by hand and verified by a TI-84 calculator.

Answer:

Both students scored in the top 10% of their classes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Top 10% = Above the 100 - 10 = 90th percentile.

The 90th percentile of scores is X when Z has a pvalue of 0.9, that is, Z = 1.28.

So, the student who had a z-score above 1.28 scored in the 90th percentile of their class.

In student A's class the mean was 78 and the standard deviation of 5. He scored 87.

We have that [tex]\mu = 78, \sigma = 5, X = 87[/tex]

Then

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{87 - 78}{5}[/tex]

[tex]Z = 1.8[/tex]

1.8 > 1.28, so student A scored in the top 10% of his/her class.

Student B's class the mean was 76 with a standard deviation of 4. Scored 87.

We have that [tex]\mu = 76, \sigma = 4, X = 87[/tex]

Then

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{87 - 76}{4}[/tex]

[tex]Z = 2.75[/tex]

2.75 > 1.28, so student B also scored in the top 10% of his/her class.

Both students scored in the top 10% of their classes.

Step-by-step explanation:

[tex]4x + 2 = 90 \\4x = 88 \\ x = 22[/tex]

Answer:

55

Step-by-step explanation:

Remark

This is a really good question to know the answer to. <PRQ = 1/2 POQ (the central angle. )

The central angle for this question is 110o. So any angle that has its vertex on the circumference is 1/2 110 = 55. The central angle and the angle on the circumference must be related as they are as this question is. (Both are on the same side of PQ which is not drawn but you can draw it).

Answer:

4050 cubic feet.

Step-by-step explanation:

Let's first find the volume of the green cube. It is the edge length cubed, or 15^3 which equals 3375.

Now, let's find the volume of the brown pyramid on the cube. To find the volume, multiply the  base of the pyramid by the height, then divide by 3.

Using the edge length of 15, we can find that the square is 15^2 which equals 225.

Multiply 225 by the height 9,

225*9=2025

Then divide by 3.

2025/3=675.

Knowing the volume of the green cube, 3375, and the volume of the brown pyramid, 675, we can find that the volume of the entire figure is

3375 +675=4050 cubic feet.

Answer:

JONATHAN WILL NEED 14 PAGES.

Explanation:

33 + 67 = 100

100 - 12 = 88

88 ÷ 6 = 14.6666667

14.6666667 ⇒ 14

(Round 14.6666667 down to 14 because Johnathan does not have .6666667 of a page.)

Answer:

(a)

[tex]f(x) = \left \{ {{5x;\ 0<x\le 5} \atop {5x-5; x > 5}} \right.[/tex]

(b) Rate = 5

(c) Rate = 5

Step-by-step explanation:

Given

The attached graph

Solving (a): The piece-wise function

For the first line

Calculate the slope of the first line

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (5,25)[/tex]

So, the slope is:

[tex]m = \frac{25 - 0}{5 - 0}[/tex]

[tex]m = \frac{25}{5}[/tex]

[tex]m = 5[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

Where: [tex]m = 5[/tex] and [tex](x_1,y_1) = (0,0)[/tex]

[tex]y = 5(x - 0) + 0[/tex]

[tex]y = 5(x) + 0[/tex]

[tex]y = 5x[/tex]

So, the function of the first line is:

[tex]f(x) = 5x;\ 0 < x \le 5[/tex]

For the second line

Calculate the slope of the second line

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (5,20)[/tex]

[tex](x_2,y_2) = (9,40)[/tex]

So, the slope is:

[tex]m = \frac{40 - 20}{9 - 5}[/tex]

[tex]m = \frac{20}{4}[/tex]

[tex]m = 5[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

Where: [tex]m = 5[/tex] and [tex](x_1,y_1) = (5,20)[/tex]

[tex]y = 5(x - 5) + 20[/tex]

[tex]y = 5x - 25 + 20[/tex]

[tex]y = 5x -5[/tex]

So, the function of the second line is:

[tex]f(x) = 5x -5;\ x>5[/tex]

Hence, the piece-wise function is:

[tex]f(x) = \left \{ {{5x;\ 0<x\le 5} \atop {5x-5; x > 5}} \right.[/tex]

Solving (b): The rate at which customers that buy up to 5lb buy.

[tex]x = 5[/tex]

This question implies that, we determine the rate at which this customer buys.

For [tex]x = 5[/tex]

[tex]f(x) = 5x;\ 0 < x \le 5[/tex]

The slope of the above function is 5.

So, this customer buys at the rate of $5 per lb

Solving (b): The rate at which customers that buy more than 5lb buy the extra pounds above 5lb.

For [tex]x > 5[/tex]

[tex]f(x) = 5x -5;\ x>5[/tex]

Assume x = 6

[tex]f(6) = 5 * 6 - 5[/tex]

[tex]f(6) = 30 - 5[/tex]

[tex]f(6) = 25[/tex]

Express as 20 + 5

[tex]f(6) = 20 + 5 * 1[/tex]

Assume x = 7

[tex]f(7) = 5 * 7 - 5[/tex]

[tex]f(7) = 35 - 5[/tex]

[tex]f(7) = 30[/tex]

[tex]f(7) = 20 + 10[/tex]

Express 10 as 5 * 2

[tex]f(7) = 20 + 5 * 2[/tex]

So, we have:

[tex]f(6) = 20 + 5 * 1[/tex]

[tex]f(7) = 20 + 5 * 2[/tex]

This can be generalized as:

[tex]f(x) = 20 + 5(x - 5)[/tex]

For the above functions;

20 represents the amount they buy the first 5

5 represents the rate at which they buy extra pounds above 5

Hence, they buy the extra pounds at the rate of $5 per pound