Lines a & m are parallel. Using the diagram below, what is the degree measure of angle 3?
Enter the numerical answer only. Example, if the answer is 12 degrees, only enter 12.

The option that could be the total number of teachers and students in this school is C. 496.

It should be noted that from the information given, at Jackson High School, the ratio of teachers to students is 1 to 40.

In this case, based on the information, the option that illustrates the information will be 496.

In this case, 12 + 480 = 496

It should be noted that 12/480 = 1/40. This illustrates the ratio 1:40.

Therefore, the correct option is C.

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At Jackson High School, the ratio of teachers to students is 1 to 40. Which of the following could be the total number of teachers and students in this school?

240

520

496

88

Answer:65.72

Step-by-step explanation: first you multiply 62 x 0.06 which is 3.72  and you add 3.72 to 62 which is 65.72

Answer:

3.00 kg (2 d.p.)

Step-by-step explanation:

Gravitational Potential Energy (GPE):  Energy stored in a mass due to its position.  The amount of GPE an object has depends on its mass and its    height above the ground.

[tex]\large\boxed{\textsf{GPE}=mgh}[/tex]

where:

Given:

Substitute the given values into the formula and solve for m:

[tex]\implies 44.12=m \times 9.8 \times 1.5[/tex]

[tex]\implies 44.12=14.7m[/tex]

[tex]\implies m=\dfrac{44.12}{14.7}[/tex]

[tex]\implies m=3.001360544...[/tex]

[tex]\implies m=3.00\:\:\sf kg\:(2\:d.p.)[/tex]

Therefore, the mass of the basket of fruits is 3.00 kg (2 d.p.).

Answer:: y = ([tex]\frac{1}{10}[/tex])x +39

The phone company Ringular has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 370 minutes, the monthly cost will be $76. If the customer uses 750 minutes, the monthly cost will be $114.

(370,76) and (750,114)

A) Find an equation in the form y=mx+b, where x is the number of monthly minutes used and y is the total months of the Regular plan.

slope =[tex]\frac{(114-76}{(750-370)}[/tex] = [tex]\frac{38}{380}[/tex] = [tex]\frac{1}{10}[/tex]√

y = MX + b

Solve for "b"

114 = (    [tex]\frac{1}{10}[/tex])750 + b

114 = 75 + b

b = 39

Answer:: y = ([tex]\frac{1}{10}[/tex])x +39

Customers and customers may or may not be the same thing, but they are two different things. A customer uses the products that a customer has purchased. An ultimate client could also be a consumer, but they might also have bought things for someone else to consume. A middle customer is not at all a consumer. The situation is rather convoluted because final consumers of so-called industrial goods and services are theoretically also consumers because they either consume the goods and services individually or incorporate them into other finished products. They are more frequently referred to as industrial customer or business-to-business customers instead. Similar to how few people refer to clients who purchase services as consumers

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Answer:

X=6x+30/x

Step-by-step explanation:

just simplify

Answer:

x = 3 ± √(39)

Step-by-step explanation:

x            6

-----   = -------

(x+5)      x

We can solve using cross products

x * x = 6(x+5)

x^2 = 6x+30

Subtract 6x from each side

x^2 -6x= 6x+30-6x

x^2 -6x= 30

Subtract 30 from each side

x^2 -6x -30 = 30-30

x^2 -6x -30 =0

Using the quadratic formula

x = -b ± √(b^2 -4ac)

     -------------------------

                2a

where  a=1  b = -6  and c = -30

x = -(-6) ± √((-6)^2 -4(1)(-30))

     -------------------------

                2(1)

x = 6 ± √(36 +120)

     -------------------------

                2

x = 6 ± √(156)

     -------------------------

               2

x = 6 ± √(4*39)

     -------------------------

                2

x = 6 ± 2√(39)

     -------------------------

                2

x = 3 ± √(39)

Answer:

A single tree can be made into 730 sheets of paper.

Step-by-step explanation:

Give me Brainliest if that helped! :)

Step-by-step explanation:

Please mark brainliest :)

The required measure of the angle K  is 110° and the simplified value of the x is 6.

Here,
In a parallelogram sum of the adjacent angle is 180°, So
18x + 2 + 70 = 180
18x + 72 = 180
18x = 180 - 72
18x = 108
x = 6

Now, angle k
= 18x + 2
= 18 * 6 + 2
= 110

Thus, the required measure of the angle K  is 110° and the simplified value of the x is 6.

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[tex]\displaystyle \int \frac{2x^7}{x^4 + 4} \, dx[/tex]

Let [tex]u=x^4 + 4[/tex] and [tex]du=4x^3\,dx[/tex]. Then

[tex]\displaystyle \int \frac{2x^7}{x^4 + 4} \, dx = \frac14 \int \frac{2(u-4)}u \, du \\\\ ~~~~~~~~ = \frac12 \int \left(1 - \frac4u\right) \, dx \\\\ ~~~~~~~~ = \frac12 \left(u - 4\ln|u|\right) + C \\\\ ~~~~~~~~ = \frac12 \left(x^4 +4 - 4\ln\left|x^4+4\right|\right) + C \\\\ ~~~~~~~~ = \boxed{\frac{x^4}2 - \ln\left(x^4+4\right)^2 + C}[/tex]

Answer: 3.6150416666

Step-by-step explanation: Please brainiest

Answer:

3.875 ÷ 8 = 0.484375

46.96 ÷ 15 = 3.1306666667

Hope this helps :)

A cartesian plane is a plane with two axes namely x axis and y axis.

A Cartesian plane is a graph with one x-axis and one y-axis and thus is also sometimes known as a x y graph.

These two axes are perpendicular to each other that is they form an angle of 90° with each other.

The origin (O) is in the exact center of the graph and is the point where the two axes intersect.

Numbers to the right of the zero on the x-axis are positive and the numbers to the left of zero are negative. ( as the case in number line as well)

Similarly, the number on the top of the center on y axis are positive and the numbers below are negative.

It can be used to represent any 2 D figure.

Therefore, a cartesian plane is a plane with two axes namely x axis and y axis.

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Answer:

[tex]-\dfrac{1}{2}[/tex]

Step-by-step explanation:

Slope Formula

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Where (x₁, y₁) and (x₂, y₂) are points on the line.

Given points:

Substitute the given points into the formula and solve for m:

[tex]\implies \textsf{slope}\:(m)=\dfrac{1-3}{12-8}=\dfrac{-2}{4}=-\dfrac{1}{2}[/tex]

Therefore, the slope of the line for the path of the track is -¹/₂.

Answer:

16 times

Step-by-step explanation:

The question is asking :

what number multiplied by the least amount would give me the greatest amount?? Let that number be x, so we can say:

least amount * x = greatest amount

From the plot, we can see that the least amount is 1/8 inches

The greatest amount is 2 inches now we can put it into the formula and find x:

1/8 * x = 2

x = 2/(1/8)

x = 16

Based on the expenses, and the club donations, it can be inferred that the amount that the pancake breakfast grossed was $932.

Gross income refers to the amount that a company, project, or individual makes from sales before they have to withdraw their expenses.

In this case, the gross amount that the pancake business grossed was:

Amount of proceeds = Gross amount - Expenses

Gross amount = Amount of proceeds + Expenses

Solving for the gross from the pancake business gives:

= 880 + 52

= $932

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Answer:

x=77° each

Step-by-step explanation:

180-26=154°

154÷2=77°

x=77° each

hope that helpes

The year 1 housing cost  is $15,009.00, which includes rent , pet fee, cleaning fee and fee for renters’ insurance

What is annual housing cost?

The annual housing cost for bainters comprises the annual rent, cleaning fee, pet fee as well as the renters’ insurance, hence, the sum of all the listed cost components form the annual spend on housing for any given year

Year 1:

rent=$1190*12=$14,280

cleaning fee=$75

pet fee=$450

renters’ insurance=$17*12=$204

Year 1 housing cost=$14,280+$75+$450+$204

Year 1 housing cost=$15,009.00

Year 5 housing cost=$14,280*(1+1.7%)^4+$75+$450+$204

Year 5 housing cost=$16,005.08

Year 10 housing cost=$14,280*(1+1.7%)^9+$75+$450+$204

Year 10 housing cost=$17,348.46

Year 15 housing cost=$14,280*(1+1.7%)^14+$75+$450+$204

Year 15 housing cost=$ 18,809.96

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Answer:

W2z

Step-by-step explanation:

becuase

Answer:  75

Step-By-Step Explanation. 60 / 4 = 15, it takes 15 minutes for each tent.

15 x 5 = 75

so it takes them 75 minutes to do 5 tent

tell me if i'm wrong and if so tell me what the right answer was have a nice day

The market equilibrium point will be at a price of 70 and the quantity of 80.

From the information, the supply and demand for a product are given by 2p − q = 60 and pq = 100 + 25q.

From 2p − q = 60

q = 2p - 60

Substituting this in pq = 100 + 25q.

p(2p - 60) = 100 + 25(2p - 60)

2p² - 70p = 100 + 50p - 1500

2p² - 70p - 50p - 100 + 1500 = 0

2p² - 120p + 1400 = 0

Divide through by 2

p² - 60p + 700 = 0

p² - 70p + 10p - 700 = 0

p(p - 70) + 10(p - 70) = 0

p - 70 = 0

p = 0 + 70 = 70

Since 2p − q = 60

2(70) - q = 60

140 - q = 60

q= 140 - 60 = 80

Therefore, the market equilibrium point will be at a price of 70 and the quantity of 80.

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Answer:

Step-by-step explanation:

the last option

Answer:

1 = 73°
2 = 58°
3 = 107°
4 = 49°
5 = 131°

The given set A = {10, 11, 12, 13}, has the cardinal number n(A) = 4, and it has 15 non-empty subsets.

In the question, we are given a set A = {10, 11, 12, 13}.

We are asked for the cardinal number of the set n(A).

Also, we are asked for the number of non-empty subsets of A.

The cardinal number of any set A is given as n(A), which represents the number of elements in set A.

For the given set A = {10, 11, 12, 13}, the number of elements are 4.

Thus, the cardinal number of the set A is, n(A) = 4.

The number of non-empty subsets of any set A, with cardinal number n, is given by the formula, 2ⁿ - 1.

The given set A = {10, 11, 12, 13}, has the cardinal number n(A) = 4.

Thus, the number of non-empty subsets of set A = 2⁴ - 1 = 16 - 1 = 15.

Thus, the given set A = {10, 11, 12, 13}, has the cardinal number n(A) = 4, and it has 15 non-empty subsets.

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Answer:

18 minutes

Step-by-step explanation:

1. 300 * 15 = 4500 (How many words in total)

2. 4500/250 = 18 (Number of words divided by speed of his reading)

Using the relation between velocity, distance and time, it is found that the penny has a faster unit rate per hour. It travels about 56.4 kilometers per hour faster.

Velocity is distance divided by time, that is:

v = d/t.

The rocket traveled 208 kilometers in 50 minutes = 5/6 of an hour, hence it's velocity, which is the unit rate, is given by:

v = 208/(5/6) = 208 x 6/5 = 249.6 km/hour.

The penny travels 153 kilometers in a half an hour, hence it's velocity is given by:

v = 153/0.5 = 306.

306 > 249.6, 306 - 249.6 = 56.4, hence:

The penny has a faster unit rate per hour. It travels about 56.4 kilometers per hour faster.

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The expression is simplified to 2

It is important to note that the table of exact values for trigonometric identity differ with the particular identity in study.

From the table of exact values, we have that;

sin 15 = 0. 25

sin 30 = 0. 5000

sin 45 = 0. 7071

sin 60 = 0. 8600

sin 75 = 0. 9659

sin 90 = 1

To determine the value of the expression, we have to substitute the value of sin 30 as 0. 5000

4 sin 30°

⇒ 4 × 0. 5000

multiply through

⇒ 2

The value determined is 2

Thus, the expression is simplified to 2

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The transformation required to obtain the graph of the function f(x) from the graph of the function g(x) is by stretching the function g(x) horizontally by 3.

When a function is transformed, the curve that represents the graph either "moves to the left/right/up/down," "it expands or compresses," or "it reflects." By moving, extending, compressing, or reflecting the curve rather than directly graphing the function from scratch, function transformations are particularly useful for graphing the functions.

Given:

[tex]f(x) =[/tex] [tex]cos(\frac{x}{3} )[/tex]

[tex]g(x) = cos x[/tex]

As g(x) is the parent function of f(x)

⇒ [tex]f(x) = g( \frac{x}{3})[/tex]

given function [tex]g(x) = cos x[/tex]

Substituting the value of x as [tex]\frac{x}{3}[/tex]

we get,

⇒ [tex]g(\frac{x}{3} ) = cos (\frac{x}{3} )[/tex]

Therefore, the transformation required to obtain the graph of the function f(x) from the graph of the function g(x) is by stretching the function g(x) horizontally by 3.

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Answer:

11.5 [h].

Step-by-step explanation:

1) if the unknown time is 't', then

2) it is possible to make up the equation:

[tex]\frac{900}{9} =\frac{1150}{t};[/tex]

3) if to solve this equation, then t is:

t=1150*9/900=1150/100=11.5 [hours].