A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 1700 seats. The students left 1037 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?

Explanation:

Points B and D are midpoints of segments AC and CE respectively. This is because of the tickmarks indicating congruent segment pieces (AB = BC and CD = DE)

Joining the midpoints together forms a midsegment. The midsegment is half as long as the side parallel to it. This means BD is half as long as AE. Flip things around to say that AE is twice as long as BD.

The linear equation that passes through the two given points is:

y = (-1/3)*x - 2/3

A general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If a line passes through the points (x₁, y₁) and (x₂, y₂) then the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

Here we know that the line passes through (4, -2) and (-2, 0), then the slope is:

a = (0 + 2)/(-2 - 4)= 2/-6 = -1/3

y = (-1/3)*x + b

To find the value of b, we can replace the values of any of the points in the equation, if we use (-2, 0) we will get:

0 = (-1/3)*-2 + b

0 = 2/3 + b

-2/3 = b

The linear equation is y = (-1/3)*x - 2/3

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C. "He observes, 'the older, wiser, and better people...proved to be in error...' (Saki 1)" is the passage that is explaining the data (the citation) that was used.

A passage is a piece of written or spoken text that is typically a part of a larger work or composition, such as a book, article, speech, or poem. Passages can be of varying lengths, ranging from a few sentences to several pages or more, and can be written in different styles and genres. They are usually composed to convey information, express ideas or opinions, tell a story, or evoke emotions in the reader or listener. Passages can be analyzed and interpreted for their literary or rhetorical devices, such as metaphors, similes, allusions, and rhetorical appeals. In academic settings, students are often asked to read and analyze passages as a part of their coursework.

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The two ways of writing the number 6000 will be 10 x 600 and 100 x 60.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Multiplication is the process of determining the product of two or more numbers in mathematics.

Given that Hassan discovers that the result of two multiples of 10 is 6000.

The two ways can be calculated as:-

10 x 600 = 6000

100 x 60 = 6000

Hence, the two ways are 10 x 600 = 6000 and 100 x 60 = 6000.

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Banks and other financial institutions may offer cash loans for reasons like revenue generation and marketing

Banks and other financial institutions may offer cash loans to people who did not apply for them for several reasons which include

Other reasons include:

Risk management, Customer convenience, Mistakes/Errors

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Answer:

Step-by-step explanation:

The slope of a line is the change in y (the vertical axis) divided by the change in x (the horizontal axis).

Given the two points (6,7) and (16,22), we can calculate the slope as follows:

Change in y = 22 - 7 = 15

Change in x = 16 - 6 = 10

Therefore, the slope of the line passing through the two points is:

slope = change in y / change in x = 15 / 10 = 3/2

So the slope of the line is in its simplest form, 3/2.

Regenerate response

Step-by-step explanation:

22x + 2y = -14

2y = -22x - 14

y = -11x - 7

Answer: it’s C. My dear <3

Step-by-step explanation: hope this helps (btw I’m just being nice so don’t ask)

The required piecewise linear relations are f(x) = 4 if [0, 2), and f(x) = -2x + 8 if [2, 4).

A piecewise-defined function (also known as a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each of which applies to a different interval of the main function's domain (a sub-domain).

The graph is given in the question, as shown

f(x) = 2x + 4 if [-2, 0]

This the sub-function define between the interval [-2, 0].

f(x) = 4 if [0, 2)

This the sub-function define between the interval [0, 2).

f(x) = -2x + 8 if [2, 4)

This the sub-function define between the interval [2, 4).

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Answer:

It could be [tex]x=25[/tex] and [tex]q = -5[/tex] or it could be [tex]x=-25[/tex] and [tex]q = 5[/tex]. As both x and q are variables, either of these could be correct.

Answer: x+y=22; 150x+350y=4800

Step-by-step explanation:

Answer:

4745

Step-by-step explanation:

Answer: 4745

Step-by-step explanation:

3250 = 100%

Percent Increase = +46%

46% of 3250 = 1495

3250 (100%) + 1495 (46%) = 4745

The percent of the world's total production of bikes that is contributed by United States is 0.65%.

Production refers to the process of combining different inputs, both material and immaterial, to produce output. Ideally, this output will be a valuable good or service that adds to people's utility.

Data

Number of bikes produced by US = 815,000 bikes.

Number of bikes produced by the world population = 126 million bikes.

The percent of the world's total production of bikes that is contributed by U.S will be:

= (0.815/126) × 100

= 0.00646825396 * 100

= 0.65%.

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Using Chebyshev's Theorem, it is found that at least 89% of days have a high temperature between 6.6ºF and 51ºF.

When the distribution is not normal, Chebyshev's Theorem is used. It states that:

Considering k = 3, the percentage is of at least 89% and the bounds are given as follows:

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Answer:

20%

Step-by-step explanation:

1 + r = 1.2 = 1 + 0.2 = 1 + 20%

r = 20%

The percent growth is 20%.

Answer: To determine the point where Leila should stop for her break, we need to find the midpoint of the line segment connecting points P and R, since the midpoint will represent equal distances from both points.

Let the distance between points P and R be d, and let's call the point where Leila stops for her break point B.

Since the ratio of the distance travelled to the distance remaining is 3:5, we know that the distance from B to P is 3/8 of the total distance d, and the distance from B to R is 5/8 of the total distance d.

Therefore, point B is the midpoint of line segment PR, and can be found by dividing the distance between P and R by 2.

Step-by-step explanation:

Answer:

5%

Step-by-step explanation:

We can use the formula for simple interest to solve for the interest rate:

I = Prt

where:

I is the interest

P is the principal (the amount borrowed)

r is the interest rate

t is the time in years

We know the principal (P) is $8,500, the interest (I) is $1,785, and the time (t) is 42 months, or 42/12 = 3.5 years. So, we can plug in the values and solve for r:

I = Prt

$1,785 = $8,500 * r * 3.5

$1,785 / $8,500 / 3.5 = r

r = 0.05, or 5%

So, the simple interest rate on Tamaya's car loan was 5%.

Answer: 83%

Step-by-step explanation: Take 250 and divide it by 300

The statement that is true about the graphs is Graph A is a linear function because it has a constant rate of change

A graph is a pictorial representation of a function.

Given the graphs A and B, to determine which statement is true, we need to find the characteristics of each graph.

Comparing all the statements with the given characteristics of both graphs, we see that the statement that is true is Graph A is a linear function because it has a constant rate of change

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Answer:

Step-by-step explanation:

No pressure. You just need to look for the number that when added to the other given number, will give the same as the sum on the other side.

For instance, The top-left question:

4+6 = x+8  (let x be the box)

x= 4+6-8

x=2.

OR, since 4 + 6 =10,

you look for a number when added to 8, that gives 10.

That number is 2.

Hope this helps :]

Answer:

(B) "1 to 5."

Step-by-step explanation:

The ratio of single to married instructors is 1 to 5. Since 4 instructors are single out of 24 total instructors, the ratio of single instructors to married instructors is 4 to (24 - 4) = 4 to 20. Simplifying the ratio to its simplest form, we get 4:20 = 1:5, which is the answer choice (B) "1 to 5."

Answer:

J.10

Step-by-step explanation:

You just have to add the numbers:

3 + 2 + (-4) + 3 + 7 + (-1) = 10

hope u like it, bye

Answer:425

Step-by-step explanation:

993-43=950

950/2=425

Answer:

$475

Step-by-step explanation:

Let's call the cost of the dryer x. That means the cost of the washer is x + $43. The combined cost of the two is $993, so we can write the equation:

x + (x + $43) = $993

Expanding the right side:

2x + $43 = $993

Subtracting $43 from both sides:

2x = $950

Dividing both sides by 2:

x = $475

So the cost of the dryer is $475.

Hi there, here's your answer:

Given a class is divided into 2 equal groups, i.e. Group A has 1 : 2 of the students in the class and group B has 1 : 2 of the students in the class.

Also [tex]\frac{2}{3} rd[/tex] of group A have an A

While 40% of group B have an A

To find:
Fraction of the class that has A

Solution:

First, we find the % of students in group A who have an A:

Since [tex]\frac{2}{3} rd[/tex] of group A have an A,

[tex]\frac{2}{3}[/tex] × [tex]50[/tex]  (∵ 1 : 2 = 50 : 100)

[tex]= \frac{100}{3} = 33.33[/tex]   (i)

Therefore, % of students in group A who have an A = 33.33%

Now, we find the % of students in group B who have an A:

Since 40% of group B have an A:

[tex]\frac{40}{100}[/tex] × [tex]50[/tex] (∵ 1 : 2 = 50 : 100)

= 4 × 5 = 20   (ii)

Adding (i) and (ii), we get
33.33 + 20 = 53.33%

Thus, the fraction of the class that has an A = [tex]\frac{53.33}{100}[/tex]

Hope it helps! Please mark as Brainliest!

Answer:

Below

Step-by-step explanation:

Instead of x , I assume you want the angle.    

  For RIGHT triangles, remember

cos (angle ) = adjacent leg / hypotenuse

cos ( angle ) = 5 /12    

     angle = arccos( 5/12) = 65 °

You could also use pythagorean theorem to calculate the misssing side....then use cos law to calculate the angle.

On solving the provided question, we can say that The pace at which the y-values change relative to the x-values is the average rate of change for a function, average rate = m = 81-9/6 = 72/6 = 12

Mathematics is the study of quantities and their variations, equations and related structures, shapes and their locations, and the locations where they can be found. The term "function" refers to the relationship between a set of inputs, each with its own output. A function is a connection between inputs and outputs in which each input leads to a single, distinct result. Each function is assigned a domain and a codomain, also known as a scope. f is commonly used to denote functions (x). The input is an x. Based on the following factors, there are four main types of functions available: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

f(x) =

x1, x2 = 3,9

average rate = f(x2) - f(x1) / 6

average rate = m = 81-9/6 = 72/6 = 12

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Answer:

Step-by-step explanation:

m∠2 = 90° - 56° = 34°. So, m∠1 = m∠2 = 34°

here the answers

By using the substitution method, the value of x is equal to -1.94 and the value of y is 2.71.

In order to solve the given system of linear equations, we would apply the substitution method. From the information provided in the question above, we have the following system of linear equations:

y = 5x - 7      .......equation 1.

3y - 2x = -12          .......equation 2.

By using the substitution method to substitute equation 1 into equation 2, we have the following:

-3(5x - 7) - 2x = -12

-15x + 21 - 2x = -12

-17x = -12 - 21

17x = -33

x = -33/17 or -1.94

For the value of y, we have:

y = 5(-33/17) - 7

y = -165/17 - 7

y = 2.71

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