There are 20 teachers and 705 students in Corey's school.
What is the ratio of teachers to students?

A. 725:20
B. 705:20
C. 20:725
D. 20:795

Answer:

7pi/6

Step-by-step explanation:

Using the formula for arc length in radians, we get:

Answer:

this one

Step-by-step explanation:

it is a bracket used in maths

Answer:

They are kind of like outer brackets, so if you have some expression like this:

5 + (4 × 6 + (7 - 8)),

it's better to write it like this:

5 + [4 × 6 + (7 - 8)],

so you can read it more easily.

The value of the expression (82/n – 26) at n = 2 will be 15. Then the correct options are B, D, E, and G.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Tawny wrote an expression to represent “the quotient of 82 and a number, decreased by 26.”

She then evaluated the expression when n = 2.

Then the expression will be

⇒ 82 / n – 26

If the value of n is 2, then the value of the expression will be

⇒ 82 / 2 – 26

⇒ 41 – 26

⇒ 15

Then the correct options are B, D, E, and G.

More about the division link is given below.

https://brainly.com/question/369266

#SPJ1

Answer:

c

Step-by-step explanation:

left is in brackets and opposite sign so left is plus right is minus

Answer:D

Step-by-step explanation:

this expression gives the original price reduce by 15%. The second term adds the tax to the price after the sale has been applied

Step-by-step explanation:

x = 2. 2(x) = 2(2). 2x= 4. Multiplication Property of Equality (if you have two equals sides and then multiply them by the same quantity both sides will remain equal)

5=3a therefore 3a = 5. Symmetric Property if a=b then b=a

T = 4 => 5T = 20 (Multiplication Property of Equality) => 5T + 7 = 27 (Addition Property of Equality. basically if two sides are equal and you add the same quantity they will remain equal)

Last one is transitive property which states. if a=b and b=c then a=c so in this case a would be 9, b would be 4x and c would be m

The Keith will spend $16 to rent 1 movie and 2 video games from the store.

Let's assume the rental fee for each movie is "m" and the rental fee for each game is "g".

From the given information, we can form the following system of equations:

3m + 2g = 25 (Calvin's rental)

2m + g = 14.75 (Samantha's rental)

We can solve for "m" and "g" by using elimination or substitution method. Here, we will use substitution method.

From the second equation, we can solve for "g" in terms of "m":

g = 14.75 - 2m

Substituting this into the first equation, we get:

3m + 2(14.75 - 2m) = 25

Simplifying this, we get:

3m + 29.5 - 4m = 25

-m + 29.5 = 25

-m = -4.5

m = 4.5

Now that we know the rental fee for each movie is $4.50, we can find the rental fee for each game by substituting "m" into either of the original equations:

2(4.5) + g = 14.75

g = 14.75 - 9 = 5.75

So the rental fee for each game is $5.75.

To find how much Keith will spend to rent 1 movie and 2 video games, we can simply add up the rental fees:

1(4.5) + 2(5.75) = 16

Therefore, Keith will spend $16 to rent 1 movie and 2 video games from the store.

To know more about Equation visit:

brainly.com/question/28243079

#SPJ1

Answer:

[tex]\fbox {b) 50}[/tex]

Step-by-step explanation:

The sum of the exterior angles of any polygon (including a pentagon) is equal to 360 degrees.

Then :

⇒ x + 2x + x + 30 + x - 10 + x + 40 = 360

⇒ 6x + 60 = 360

⇒ 6x = 300

⇒ x = 50

Answer:

[tex]\huge\boxed{\sf x = 50}[/tex]

Step-by-step explanation:

x + 2x + x + 30 + x - 10 + x + 40 = 360

6x + 60 = 360

Subtract 60 to both sides

6x = 360 - 60

6x = 300

Divide 6 to both sides

x = 300/6

x = 50

[tex]\rule[225]{225}{2}[/tex]

Answer:

so we need to subtract the situps from the jumping jack so

3/5-1/2

first we need to simplify to the same bottom number

6/10=3/5

5/10=1/2

6/10-5/10=1/10

so 1/10 of 60 is

1/10*60=6

Hope This Helps!!!

Answer:

Step-by-step explanation:

Answer:

(1,0)

Step-by-step explanation:

y>-3x +3

y≥ 2x-2

If we plot these two inequalities, we can see where the lines intersect,  See attached graph.

They intersect at (1,0)

We can also do this mathematically:

  y>-3x +3

- (y≥ 2x-2)

0 [tex]\geq[/tex] -5x + 5

5x [tex]\geq[/tex] 5

x [tex]\geq[/tex] 1

If x = 1:

y≥ 2x-2

y≥ 2(1)-2

y≥ 0

(x,y) = (1,0)

Answer:

T=5

Step-by-step explanation:

Answer:

mAngle1 = 33°

Step-by-step explanation:

The three angles in a triangle add up to 180°.

31° + 116° + x = 180°

147° + x = 180°

Subtract 147° from both sides.

x = 33°

The measure of Angle1 is 33°

Answer:

y=−1/2x−1

Step-by-step explanation:

I put it in slope intercept form as I assume that is what the question is asking.

Answer:

1 : 4

Step-by-step explanation:

3.5 : 14 ( divide both parts by 3.5 )

= 1 : 4

The function S to represent the sequence of transformations applied to the point (x, y) is  (-y, -x - 6)

Transformation is a technique used to change the position of an object on an xy-plane.

Given the coordinate (x, y)

Rotation of the coordinate by 180° clockwise about the origin will given;

(x, y) - > (-x, -y)

If the result is translated 6 units to the left, then;

(-x, -y) -> (-x-6, -y)

If it is then reflected across the line y = x, we will switch the coordinates to have:

(-x-6, -y) -> (-y, -x - 6)

The function S to represent the sequence of transformations applied to the point (x, y) is  (-y, -x - 6)

Learn more on transformation here: https://brainly.com/question/1548871

#SPJ1

Answer:

1/2

Step-by-step explanation:

since every time you divide by 2, the common ratio is 1/2

The reflection of any point across the x-axis:

  ⇒ means that x-coordinate remains the same

     ⇒ but the y-coordinate is multiplied by '-1'

In this case:

 ⇒ (50,25) becomes (50,-25)

Answer: (50,-25)

Hope that helps!

#LearnwithBrainly

Answer:

(50, -25)

Step-by-step explanation:

When we reflect a point across the x-axis, only the sign of the y-value the changes. In this case, the y-value is 25, so after the reflection it becomes -25. The x-value stays the same. So your resulting point is (50, -25)

Answer:

pm = 4

M is the mid point of PQ which means that pm = mq

so MQ = 4

PQ = PM + MQ

= 4 + 4

= 8

Answer:

y = 2x - 1

Step-by-step explanation:

gradient is defined as rise over run.

we need coordinates that are both whole numbers. from looking at the graph, I have (0, -1) and (1, 1)

for the run, 1 - 0 = 1

for the rise, 1 - -1 = 2

2 / 1 = 2

it crosses the y-axis at -1

therefore in the form y = mx + b, the equation is y = 2x - 1

Answer:

f(x)=(x+4)(x+2)

Step-by-step explanation:

Factor  x^2−6x+8  using the AC method.

Answer:

25 minutes

150 gallons

Step-by-step explanation:

Definition of variables

Let t = time in minutes

Let V = volume in gallons

Create two equations with the given information:

Pool A

⇒ V = 300 - 6t

Pool B

⇒ V = 400 - 10t

To find after how many minutes the two pools will have the same amount of water, substitute the equation for pool A into the equation for pool B and solve for t:

⇒ 300 - 6t = 400 - 10t

⇒ 300 - 6t + 10t = 400 - 10t + 10t

⇒ 300 + 4t = 400

⇒ 300 + 4t - 300 = 400 - 300

⇒ 4t = 100

⇒ 4t ÷ 4 = 100 ÷ 4

⇒ t = 25

Therefore, the two pools will have the same amount of water after 25 minutes.

To find how much water will be in the pools at that time, substitute the found value of t into one of the equations and solve for V:

⇒ V = 400 - 10t

⇒ V = 400 - 10(25)

⇒ V = 400 - 250

⇒ V = 150

Therefore, the amount of water in the pools at the time when they have the same amount of water is 150 gallons.

If time be x and volume be y

The equations are

Equate and solve

Now

The equation of the line of best fit is y = -0.03x + 69.94

The column headers are given as:

Year    Time(s)

To enter the data values in a graphing calculator, we use the following representations:

x ⇒ Year

y ⇒ Time (s)

Using the above representations, we have the following calculation summary from a graphing calculator:

The equation of the line of best fit is:

y = bx + a

Where

b = SP/SSX = -514.6/17242.92 = -0.02984 ≈ -0.03

a = MY - bMX = 11.7 - (-0.03*1951.59) = 69.94497 ≈ 69.94

So, we have:

y = -0.03x + 69.94

A linear equation is represented as:

y = Slope * x + y intercept

So, we have:

Slope = -0.03

y intercept = 69.94

The y-intercept implies that the initial time is 69.94 seconds, while the slope implies that the time decreases by 0.03 seconds each year

Read more about line of best fit at:

https://brainly.com/question/1518824

#SPJ1

Answer:

[tex]x = \frac{y - 5}{3}[/tex]

Step-by-step explanation:

Hello!

To solve for x, we have to first isolate the variable.

The value of x is [tex]\frac{y - 5}{3}[/tex].

The loss on the sale of equipment of $25 will appear in cash flow for operating activities section.

The cash flow statement is a financial statement that gives aggregate data regarding the cash inflows that a company receives.

The loss on sales of equipment will be:

Cost of equipment = $500

Less accumulated depreciation = $375

Less sale of equipment = $25

Here, the loss on the sale of equipment of $25 will appear in cash flow for operating activities section.

Learn more about cash flow on:

brainly.com/question/24179665

#SPJ1

Answer:

a = 46. Look down to find out more↓:

Step-by-step explanation:

a = kb²

4 = k(3)²

4 = k9

k = 4/9

a = 4/9(9²)

a = 4/9 (81)

a = 324/9

a = 36

Answer:

15.1 gallons are needed to shut off the alarm.