There are 72 students for every 6 teachers on the field trip. What is the unit rate, in students per 1 teacher

As per the drawing scale, the actual length is 16m.

What is a drawing scale?

Given scale is,

19:8

Therefore,

To determine the, actual length,

[tex]\frac{19}{8} =\frac{38}{actual\ length}[/tex]

⇒ actual length = [tex]\frac{38}{19}*8[/tex] = 16m.

Hence, as per the drawing scale the actual length is 16m

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Answer:

298781

Step-by-step explanation:

Answer:

∠ 2 = 60°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 remote interior angles.

123° is an exterior angle of the triangle , then

∠ 2 + 63° = 123° ( subtract 63° from both sides )

∠ 2 = 60°

Answer:

60

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180° so we can write the following equation to find the value of missing angle:

∠2 + 63 + 57 = 180 add like terms

∠2 + 120 = 180 subtract 120 from both sides

∠2 = 60

It is "false" that a cylinder is a polyhedron where two faces are parallel and congruent and the remaining faces are parallelograms. Its is a prism.

A polyhedron of two polygonal faces in parallel planes & parallelograms on the other faces is called prism.

Some features regarding the prism are-

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Jupiter is 5,751.51 times more massive than Mercury.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The mass of the planet Jupiter is given below.

1,898,000,000,000,000,000,000,000,000 kg.

The scientific notation is:- 2 x 10²⁷ kg.

The mass of the planet Mercury is given below.

330,000,000,000,000,000,000,000 kg.

The scientific notation is:- 3.30 x 10²³ kg.

Divide the mass of the planet Jupiter by the mass of the planet Mercury. Then we have

Jupiter / Mercury =  2 x 10²⁷  / 3.30 x 10²³

Jupiter / Mercury = 5,751.51

Your question was incomplete, but the complete question was given below.

The most massive planet in the solar system, Jupiter, has a mass of about 1,898,000,000,000,000,000,000,000,000 kg.

The least massive planet is Mercury, which has a mass of about 330,000,000,000,000,000,000,000 kg.

Use your estimates to find out how many times more massive Jupiter is than Mercury. Express your answer in standard form (without using a power of 10).

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Answer:

y = 7/2x - 5/2 ; gradient is 7/2

y = 5/3x - 4/3 ; gradient is 5/3

y = -2/3x - 10/3; gradient is -2/3

Step-by-step explanation:

2y = 7x-5

5x - 3y=4

10 - 2x+3y = 0

NOTE: The gradient is the slope

By taking a quotient between the total area and the number of children, we conclude that each one will get 9 ⁴/₅ acres.

Here we know that a farmer has a total of 49 acres, and he wants to divide it evenly among his 5 children.

So we just need to take the quotient between 49 and 5, this is:

49/5

First, we can rewrite:

49 = 45 + 4

Replacing that in the quotient we get:

49/5 = (45 + 4)/5 = 45/5 + 4/5

The first term is equal to 9, then we can rewrite:

49/5 = (45 + 4)/5 = 45/5 + 4/5 = 9 + 4/5

From this quotient, we conclude that each one of the 5 children gets an area of 9 + 4/5 acres. Written as a mixed number this would be:

A = 9 ⁴/₅ acres.

So the correct option is the first one.

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To isolate a single variable when rearranging equations, move all other variables to the other side of the equation.

According to the statement

We have to find that the rearrangement of the variables.

So, For this purpose, we know that the

A variable is a symbol and placeholder for any mathematical object.

From the given information:

To isolate a single variable when rearranging equations.

Then for this:

To isolate a single variable when rearranging equations,

Then move all other variables to the other side of the equation by using the opposite function on them and remembering to perform that operation on both sides of the equation. Make sure the rearrangement has the target variable in the numerator, not the denominator.

So, To isolate a single variable when rearranging equations, move all other variables to the other side of the equation.

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When the numbers 1-7 is put in the seven circles so that the numbers in each group of three circles connected with a straight line add up to 12 then the number 4 is kept at the center

Let say A , B , C , D , E  , F  & G are 7 numbers  from 1 to 7

& D is in center

So, A & G , B & F , C & E are opposite

A + D + G  = B + D + F  = C + D  + E

=> A + G = B + F = C + E

Adding all numbers

A + B + C + D + E + F + G  + 2D

( A + B + C + D + E + F + G = 28  ( 1 to 7 sum)

= 28 + 2D

28 + 2D  is Divisible by  3 numbers

Hence

D = 1   ,  4   ,   7  

Case 1  

D = 1

28 + 2D = 30    Sum of Each   = 10   ,  D = 1

=> A + G = B + F = C + E  = 9

2 + 7 = 3 + 6  = 4 + 5

Sum is not equal to 12. So this case is invalid

Case 2  

D = 4

28 + 2D = 36    Sum of Each   = 12   ,  D = 4

=> A + G = B + F = C + E  = 98

only possible solution

1+ 7 = 2 + 6  = 3 + 5

Case 3

D = 7

28 + 2D = 42    Sum of Each   = 14   ,  D = 7

=> A + G = B + F = C + E  = 97

1 + 6 = 2 + 5  = 3 + 4

Sum is not equal to 12, so case is invalid

Hence the solution will have 4 in the center.

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After solving the expressions we get the value for each of it as:

a. 1/108

b. 7/18

Given:

a. 12x⁰(x⁻⁴)

Apply the multiplication property of exponents.

when variables multiply, the powers are added.

12x⁰⁻⁴

12x⁻⁴

substitute the value of x = 6 in the above term.

12(6)⁻⁴

12 × 1/6⁴

12 × 1/1296

1/108

b. 14(x⁻²)

The algebraic technique for resolving simultaneous linear equations is called the substitution method. The value of a variable from one equation is substituted in the second equation in this procedure, as the name implies.

directly substitute the value of the x in the expression.

14(6)⁻²

14 × 1/6²

14 × 1/36

7/18

hence after evaluating expressions we get the values as 1/108 and 7/18.

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1. The meters of fencing that he installed on each day will be 6.54 meters.

2. The amount of money that Jenny will make will be $127.05.

1. Number to be installed = 42.6m

It should be noted that the person already installed on Monday and Tuesday. Therefore, the amount to install from Wednesday to Friday will be illustrated as:

= (42.6) - (13.45 + 9.5) / 3

= 42.6 - 22.95 / 3

= 6.54 meters per day.

2. The amount of money that Jenny will make will be:

= (9.15 × 9) + (7.45 × 6)

= 82.35 + 44.7

= $127.05

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Answer:Q

Step-by-step explanation:1+2-3+4=1

10 mph more unusual.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a larger range, a low standard deviation suggests that the values tend to be near to the mean (also known as the anticipated value) of the collection.

The lower case Greek letter (sigma), for the population standard deviation, or the Latin symbol s, for the sample standard deviation, are most frequently used in mathematical literature and equations to indicate standard deviation. Standard deviation may be written as SD.

EXPLANATION : The speed recordings follow an approximately normal distribution the mean of

100 readings was 2384 mph. with a standard deviation of 3.56mph

The speed limit read 20 mph

We have to find the number of standard deviations from the mean that the car going

under the speed hmit would be

Let the car going under the speed 20mph bey standard deviations away from mean

That is.

20 — 23.84 +y(3.56)

20—2384 —1.078651685

So the car going under the speed limit would be less than or equal to 107865 standard

A car traveling 34 mph

The number of standard deviations from the mean that the car is going at 34mph is given by

That is the car going at 34mph is 2.8539 standard deviations above the mean

A car traveling at 10mph

The number of standard deviations from the mean that the car going at 10mph is given by.

y= 2.8539

That is. the car going at 10mph is 3.8876 standard deviations

We know from the empirical nile that 99.7% of the observations he with in ±3 standard

deviations from the mean for a normally distributed data

But the speed of 10mph is not within these limits, where as 34 mph is within these limits

So the car is  travelling t 10mph is more unusual

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Answer:

14. 41

15. 4

Step-by-step explanation:

I used Substitution.

2(14)+13 = 41

3(2) - 2 = 4

Answer: EF = 29 units and KM = 22 units

Step-by-step explanation: For the first one, we just add EF and FG, x+14 and 14, and make it equal to EG, 2x+13. We then get x+28 = 2x+13, x = 15. EF = x + 14 and then sub in 15 for x to get 29.

For KM, same deal as the first one. KL and LM, 6 and 2x, equals to KM, 3x-2. 2x+6 = 3x - 2. x = 8. KM = 3x - 2. sub in 8 for x and then we get 22.

Answer:

-2x + y = -6

Answer: 57.75 m or about 57.8m

Step-by-step explanation:

Answer:

≈649 kg/m[tex]^{3}[/tex]

Step-by-step explanation:

Density is equal to mass/volume

25 / 0.385 ≈ 649 kg/m[tex]^{3}[/tex]

Answer:

A. the number of bacteria colonies doubling every 80 minutes.

Step-by-step explanation:

A. 2 cells = 80 mins

B. 4 cells = 80 mins

how to check;

multiply both sides by 2 in equation A

2 × 2 = 80 × 2

4 cells = 160 mins

change the mins into hours

4 cells = 160 ÷ 60

4 cells.= 2 hrs 40 mins

coagulate results

equation A. is 4 cells = 2hrs 40 mins

equation B. is 4 cells = 4 hrs

therefore equation A. is faster

please if found helpful rate brainliest

[tex]2xy \sqrt[3]{3y {}^{ \: 2} } [/tex]

The circle is shaded and on number 5 with the arrow is pointing in the left direction. This shows that the required solution is x ≤5

Inequality are expressions that are not separated by an equal sign. Number lines on the other hand is a picture of a graduated straight line that serves as visual representation of the real numbers.

Every point of a number line is assumed to correspond to a real number, and every real number to a point.

From the given number line, you can see that  the circle is shaded and on number 5 with the arrow is pointing in the left direction. This shows that the required solution is x ≤5

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Answer:

D is the answer

Step-by-step explanation:

please make my answer as brainelist

The value of the expression given as −26.6/−1 is 26.6

The expression is given as

−26.6

-----------

−1

Rewrite the above expression properly as follows

So, we have

−26.6/−1 or −26.6 ÷ −1

This is so because the expression is a quotient expression

So, we have

−26.6/−1

Express −26.6 as -13.3 - 13.3

So, we have the following equation

−26.6/−1 = (−13.3  −13.3)/−1

Expand the expression

So, we have

−26.6/−1 = (−13.3)/−1 + (−13.3)/−1

Evaluate the quotients in the above equation

So, we have

−26.6/−1 = 13.3 + 13.3

Evaluate the quotients in the above equation

So, we have

−26.6/−1 = 26.6

Hence, the value of the expression given as −26.6/−1 is 26.6

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Answer:

Step-by-step explanation: its 32

Answer:

Step-by-step explanation:

A + B + C = 180

A = 47

B = 62

C = ???

We don't know what "C" is??

So..

A + B + C = 180

C = 180 - A - B

C = 180 - 47 - 62

Subtract those numbers and you should get 71

Soo..

C = 71

we can also add up

47 + 62 + 71 = 180

so if you get 180 when you add them up then that's your correct answer!!

YOUR WELCOME FOR THE HELP!!!!!1

Answer: Can you give choices that in the problem

Step-by-step explanation:

[tex]\bold{n\equiv 91a+40b\ mod \ 130}[/tex]

Given that a is the remainder when n is divided by 10. Then, [tex]n\equiv a\ mod 10[/tex]

Also b is the remainder when n is divided by 13 i.e., [tex]n\equiv b\ mod 13[/tex]

Then by Division algorithm, there are integers k and m such that n = a + 10k and n = b + 13m

These two equations are equivalent to

13n = 13a +130k and 10n = 10b + 130m

Adding these two equations, 23n = 13a + 10b + 130(k + m)

⇒ [tex]23n\equiv 13a+10b\ mod\ 130[/tex]

gcd (23,130) = 1

So 23 has an inverse modulo 130.

Therefore, [tex]n\equiv 23^{-1} (13a+10b) \ mod\ 130[/tex]

Applying Euclidean algorithm for 130 and 23,

130 = 23 x 5 + 15

23 = 1 x 15 +8

15 = 1 x 8 +7

8 = 1 x 7 + 1

Therefore, 1 = 8 - 7 = 8 - (15 -8 ) = 2 x 8 - 15 = 2( 23 - 15 ) - 15

                    = 2 x 23 -3 x 15 = 2(23) -3(130-5x23) =17(23) -3(130)

So inverse of 23 = 17

So, [tex]n\equiv 17 (13a+10b) \ mod\ 130\equiv 221a +170b \ mod \ 130 \equiv \bold{91a+40b \ mod\ 130}[/tex]

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Answer: 180 tickets for $40

Step-by-step explanation:

    To answer this question, we need to find a pattern;

15 / 3 = 5

60 / 15 = 4

-> If you divide, we find a pattern of the quotient with 5... 4... so we can assume the next is 3

    Using this pattern;

60 * 3 = 180 tickets for $40

The standard form the Complex number having real part "a" and imaginary part"b" is a+ib.

Complex number:

Basically, a Complex number is made up of two numbers: a real number and an imaginary number. A+iB, where an is a real number and ib is an imaginary number, is a Complex number. A and B are real numbers.

As a result, a Complex number is just a straightforward way to describe the addition of two integers, a real number and an imaginary number. It is divided into two parts: a pure actual component and a pure fictitious part.

Therefore,The standard form the complex number having real part "a" and imaginary part"b" is a+ib.

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Answer:It’s a+bi

Step-by-step explanation:

Step-by-step explanation:

Therefore, the distance between E ( 3 , 7 ) E(3,7) E(3,7) and F ( 6 , 5 ) F(6,5) F(6,5) is approximately 3.61 \textbf{3.61} 3.61 units.

The simple interest rate will be 19.2% per year.

We need to find the simple interest which is I = P * R * T

where,

I is the interest,

P is the principal,

R is the interest rate and

T is the time period.

Here, I = the amount you payed - the amount that you owed

= $1800 - $1300 = $500

Now, I = 500

T = 2 years

P = 1300

According to the formula,

500 = 1300 * R * 2

⇒ 500 = 2600* R

∴R = 500/2600 = 0.1923

Multiplying it by 100, we get 19.23%.

Rounding off 1 decimal place, we get 19.2%.

Therefore, you will pay simple interest rate of 19.2% per year.

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The pedestrian route that runs diagonally across the park is 5√10 miles.

It states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

We have,

A rectangle:

Length = 15 miles

Wide = 5 miles

Diagonal length can be considered as the hypotenuse.

Applying the Pythagorean theorem.

Diagonal side² = length² + wide²

Diagonal side² = 15² + 5²

Diagonal side² = 225 + 25 = 250

Diagonal side = √250 = 5√10 miles.

Thus the pedestrian route that runs diagonally across the park is 5√10 miles.

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