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The accompanying diagram shows the graph of which inequality?
-3+
1.
y 2.
y> X + 1
3.
y s X + 1
4.
y = x + 1
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How do I solve this?

The inequality that represents p, the number of people the theater can seat is p ≤ 25

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

A movie theater can seat a maximum of 25 people

This means that

Maximum =  25 people

In other words, the movie theatre can allow 25 or less people to attend a movie

In inequality, 25 or less means less than or equal to 25

When represented as an inequality expression, we have

≤ 25

Using the variable p, we have

p ≤ 25

Hence, the inequality is p ≤ 25

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Now we know PR∥QX , according to construction with transversal line TX.

∠PTS=∠QXS (Alternate angle)

In △PTS and △QSX

∠PTS=∠QXS (Alternate angle)

∠PST=∠QSX(vertically opposite angles)

PS=SQ(S is mid point of PQ)

△PTS≅△QSX(AAS rule)

So, TP=QX(CPCT)

As we know, TP=TR (T is midpoint)

Hence, TR=QX

Now, in quadrilateral TSQR

TS∥QR

Hence proved.

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A graph which represents the solution to the given inequality (-0.25 ≥ -0.5n) is: graph .

An inequality is to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Translating the word problem into an inequality, we have:

-0.25 ≥ -0.5 × n

Next, we would find the solution to this given inequality in order to determine its graph:

-0.25 ≥ -0.5n

Dividing both sides by -0.5, we have:

n ≥ -0.25/-0.5

n ≥ 0.5

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Answer:

hi

Step-by-step explanation:

no

Answer:

c. 60

Step-by-step explanation:

The remote angles theorem states that when one extends one of the sides of a triangle, the angle between one of the existing sides and the extension is equal to the sum of the two non-adjacent angles in the triangle. One can apply this theorem here by stating the following,

101 = 41 + x

Use inverse operations to solve for parameter (x),

101 = 41 + x

-41    -41

60 = x

Answer:

20.943951023932 m^3

Step-by-step explanation:

v=1/3pi(r)^2h

v=1/3pi(2)^2(5)

v=20.943951023932 m^3

Answer:

62.8

Step-by-step explanation:

2 × 2 × 3.14 × 5 = 62.8

Answer:

11+3z

Step-by-step explanation:

You would combine the like terms, 9+4-2 is 11 and 6z-3z=3z

Answer:

Explanation:

9 − 3z + 4 + 6z − 2

-3z + 6z + 9 + 4 - 2

3z + 9 + 4 - 2

The 1/2 of one third is equal to 1/6, or one-sixth.

What is number system?

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.

1/2 of 2/3 can be simplified as:

1/2 * 2/3 = 2/6 = 1/3

So, 1/2 of 2/3 is equal to 1/3.

1/2 of one third would be:

1/2 * 1/3 = 1/6

Therefore, 1/2 of one third is equal to 1/6, or one-sixth.

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Domain is the x value which is the left to right values.

The line starts at 0 and ends at 100

The domain would be 0 <= x <= 100

The ability of the twins to divide the oddly shaped plot into two Identical plots along the grid lines depends on the presence of a line of symmetry.

To determine whether the set of twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need to consider the characteristics of the plot and the conditions required for the division.

For the division to be possible, the plot needs to have a line of symmetry that can be used to create two identical halves. A line of symmetry divides an object into two equal and mirrored parts.

If the plot of land has a line of symmetry, the twins can divide it by drawing a line along the symmetry axis. This line should cut the plot into two equal halves, ensuring that both plots are identical.

However, if the plot does not have a line of symmetry, it may not be possible to divide it into two identical plots along the grid lines. In this case, the twins would need to consider alternative methods of division or compromise on the goal of having two identical plots.

To determine if the plot has a line of symmetry, the twins can examine its shape and characteristics. They can look for any symmetrical patterns, such as equal sides or mirrored shapes, that indicate the presence of a line of symmetry.

If the plot does not have an obvious line of symmetry, the twins might need to explore other options, such as dividing the plot into two equal areas based on other criteria, such as the length or width of each half.

the ability of the twins to divide the oddly shaped plot into two identical plots along the grid lines depends on the presence of a line of symmetry. If such a line exists, they can divide the plot by drawing a line along the symmetry axis. However, if the plot lacks symmetry, they may need to consider alternative methods of division or adjust their expectations.

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Note the full question may be :

To determine whether the twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need more specific information about the shape and dimensions of the plot. the shape of the plot (rectangular, triangular, irregular), the lengths of its sides, any existing grid lines or divisions within the plot.

Answer: yes she is the best, she slays!!

The value of the expression 2x/3 ÷ 3x/2 when x ≠ 0 is 4/9.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

2x/3 ÷ 3x/2 when x ≠ 0.

This can be written as,

= (2x/3) x (2/3x)

= 2/3 x 2/3

= 4/9

Thus,

The value of the expression is 4/9.

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Answer:

1st part:

0.65= 13/2

0.425=4251000

9.35=9 7/20

2nd part:

19/25= 0.76

311/500=0.622

5/8=0.625

14 3/5=14.6.

Step-by-step explanation:

hope this helped good luck!<3

The 5 ft by 8 ft dimensions of the car and the (width) 2 ft by (height) 3 ft dimensions of the chair, indicates that the vehicle can haul both chairs in one trip.

The dimensions of rectangularly shaped solid are the height, the width and the length of the solid.

The possible dimensions of the vehicle and the chair obtained from a similar online question are;

Length of the vehicle = 8 feet

Width of the vehicle = 5 feet

The height of one chair = 3 feet

The width of one chair = 2 feet

Therefore;

The width of the vehicle of 5 feet indicates that the vehicle can contain the two chairs placed side by side with their widths of 2 feet each, to get;

Width of  the two chairs = 2 feet + 2 feet = 4 feet < 5 feet

The two chairs placed horizontally, such that we get;

The total length of the horizontally placed chairs = 3 feet + 3 feet = 6 feet

The combined height of the two chaires, of 6 feet is less than the length of the car which is 8 feet, therefore;

The car can haul both chairs placed horizontally in a single trip.

The vehicle could therefore be used to haul both chairs in a single trip.

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F(5)= 3.(5)+2=15+2=17

Another example: F(0)=3.(0)+2=0+2=2

You just replace the value in the two sides.

Answer:

x=3/2

x=-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

The next number is 110

It looks like the integral is

\(\displaystyle \iint_D x^2 (y-x) \,\mathrm dx\,\mathrm dy\)

where D is the set

D = {(x, y) : 0 ≤ x ≤ 1 and x ² ≤ y ≤ √x}

So we have

\(\displaystyle \iint_D x^2(y-x)\,\mathrm dx\,\mathrm dy = \int_0^1 \int_{x^2}^{\sqrt x} x^2(y-x)\,\mathrm dy\,\mathrm dx \\\\ = \int_0^1 \left(\frac{x^2y^2}2-x^3y\right)\bigg|_{y=x^2}^{y=\sqrt x} \\\\ = \int_0^1 \left(\frac{x^3}2-x^{7/2}+x^5-\frac{x^6}2\right)\,\mathrm dx \\\\ = \left(\frac{x^4}8 - \frac{2x^{9/2}}9 + \frac{x^6}6 - \frac{x^7}{14}\right)\bigg|_{x=0}^{x=1} = \frac18-\frac29+\frac16-\frac1{14} = \boxed{-\frac{1}{504}}\)

Answer:

The area of the trapezoid is 54

Answer:

Step-by-step explanation:

(0,0)

:I

We know that two vertical angles are equal.

\(108° \: = \: (12x \: + \: 24)°\)

\( - 12x \: = \: 24 \: - \: 108\)

\( - 12x \: = \: -84\)

\( \boxed{ \bold{x \: = \: 7°}}\)

We know that a complete angle measures 360°.

\(108° \: + \: 108° \: + \: z \: + \: z \: = \: 360°\)

\(216 \: + \: 2z \: = \: 360\)

\(2z \: = \: 360 \: - \: 216\)

\(2z \: = \: 144\)

\( \boxed{ \bold{z \: = \: 72°}}\)

Answer:

You didn't put the numbers that are x in the equation

Step-by-step explanation:

Answer:

d. 3.5 km = 1,000 m / km = 3,500 m

Answer:

don't know which question?

Step-by-step explanation:

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a) Using the standard divisors according to Jefferson's apportionment method, the number of salespeople assigned to work each shift is as follows:

Shift                              Morning     Midday     Afternoon     Evening   Total

Number of

salespeople assigned  1               3                  5                 7                16

b) The modified or adjusted divisor used represents the average number of customers for each shift divided by the standard divisor.

The standard divisor shows the ratio of the total population to the number of seats.

The standard divisor gives an insight about the number of people each seat represents.

Standard divisor = Total number of customers / Total number of salespeople

The total number of customers = 1,425

The number of salespeople = 16

a) Standard divisor = 1,425 ÷ 16

= 89.0625

Shift                              Morning     Midday     Afternoon     Evening   Total

Average number of

customers                     125            280             460             560       1,425

Standard divisor      89.0625     89.0625      89.0625      89.0625

b) Modified divisor     1.4035        3.1438          5.165           6.288

Number of

salespeople assigned  1               3                  5                 7                16

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Answer:

The answer is 5x

Step-by-step explanation:

a. The monthly contribution from a friend's company is $120 minus 0.5, or $60.

b. The total monthly contribution to the fund is $180.

The computation of FV in Excel is shown in the attachment below:

Using the current number as a starting point, subtract the prior value to determine the growth rate. To calculate the growth rate in percentage terms, divide the difference by the previous amount and multiply the result by 100. Growth Rate equals (Ending Value - Beginning Value) - 1. The year-over-year (YoY) growth rate of a business, for instance, would be 20% if its revenue increased from $100 million in 2020 to $120 million in 2021.

GDP, turnover, wages, etc., all have growth rates that reflect how much they have changed over time (month, quarter, year). Percentages are a pretty common way to communicate it.

20 years is the age.

20 times 12 periods equals 240.

3% growth rate

The computation of FV in Excel is shown in the attachment below:

So, FV= $7,223,115.77

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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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