An arts academy requires there to be 6 teachers for every 108 students and 3 tutors for every 36 students. students How many students does the academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has 84 students?

Answers

Answer 1
18 students = 1 teacher

13 students = 1 tutor

The academy needs 7 tutors for 84 students.

Related Questions

Which of these is a good conductor?
wood
silver
paper
air

Answers

Silver is an excellent conductor for heat.
the answer is silver

Hi there I'm douing my homeworks and need to find Common Mistakes of these words if someone can help me I'll be happy thank you. :)

1. Rigid Transformation
2. Translation
3. Rotation
4. Reflection

Answers

The answer is 4) Reflection

What’s does 120$ plus 40% mean

Answers

Answer:

ur suppose to find how much it is after the discount so for example in question 1 the discount is 40% so subtract that from 100% to get 60% then multiply this 60% by the origanial vaule which is 120 so for the answer for question 1 would be 72. Also when multiplying 60% u dont multiply by 60 u multiply it by 0.6

Hope this help and sry for the bad grammar

\frac { 3 ^ { p + 1 } - 3 ^ { p } } { 2 \times 3 ^ { p } } = 1​

Answers

Answer:

Given equation:

[tex](3^{p+1} - 3^p) /(2 *3^p) = 1[/tex]

Solving for p:

[tex]3^{p+1} - 3^p = 2 *3^p[/tex][tex]3*3^p - 3^p = 2 *3^p[/tex][tex]2 *3^p =2 *3^p[/tex]

p - any real number

We can state the initial expression is correct for any value of p.

Answer:

True for all p

Step-by-step explanation:

Given equation:

  [tex]\dfrac{3^{p+1}-3^{p}}{2 \times 3^{p}}=1[/tex]

Multiply both sides by [tex]2 \times 3^p[/tex]:

[tex]\implies 3^{p+1}-3^p=2 \times 3^p[/tex]

Add [tex]3^p[/tex] to both sides:

[tex]\implies 3^{p+1}-3^p+3^p=2 \times 3^p+3^p[/tex]

[tex]\implies 3^{p+1}=3 \times 3^p[/tex]

Rewrite 3 as 3¹:

[tex]\implies 3^{p+1}=3^1 \times 3^p[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}[/tex]

[tex]\implies 3^{p+1}=3^{1+p}[/tex]

[tex]\implies 3^{p+1}=3^{p+1}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x):[/tex]

[tex]\implies p+1=p+1[/tex]

Subtract 1 from both sides:

[tex]\implies p+1-1=p+1-1[/tex]

[tex]\implies p=p[/tex]

Therefore as both sides are equal, true for all p.

Twice the difference of a number squared and 7

Answers

Answer: 2(x^2-7)

Step-by-step explanation:

Rylee is paid $32 for 8 hours of work. What is her hourly rate?

Answers

Answer:

$4 per hour

Step-by-step explanation:

$32 per 8 hours of work

We can just divide 32 by 8

32 / 8 = 4

So her hourly rate would be $4 per hour

we can check this

by $4 * 8 (hours) = $32 per 8 hours of work

Her hourly rate is $4 per hour

Her hourly rate is 4 hours

guys pls help me!!!!!!

Answers

Answer:

[tex]x = 67[/tex]

Step-by-step explanation:

[tex]x = 67[/tex]

[tex]Alternate \:Intrerior \: Angles[/tex]

katie can mow at a constant speed rate of 4/5 lawns per hour

Answers

Answer:

y=4/5x+B

what is the whole question?

math can you please help me?​

Answers

Answer:

The answer will be -5

You are welcome:)

Step-by-step explanation:

Please help ! Geometry

Answers

The measurement of angle b is 128°

Justin needs 9 pieces of rope that are
1 1/2 feet long each. He says he can cut the 9 pieces from a 12 3/4 foot long rope. Is Justin correct? Write an equation with a complex fraction to support your answer.​

Answers

Answer:

no.

Step-by-step explanation:

half of 9 ft is 4.5 ft, 9 + 4 and 1/2 is 13 1/2

Use the graph to estimate the value of y when x=2.5

Answers

Answer:

I'm guessing: The value of y is 6.5

Step-by-step explanation:

Mark 2.5 on the x-axis between 2 and 3, then draw a line to meet the graph.

Or use the table , y=3x-1

y=3(2.5)-1

y=7.5-1

y=6.5

please mark BRAINLIEST...

help what is the answer to this'

Answers

Answer:

Your answer is  x [tex]\geq[/tex] 77

Step-by-step explanation:

[tex]\frac{x}{7} \geq 8+3[/tex]

[tex]\frac{x}{7} \geq 11[/tex]

[tex]\frac{x}{7 } * 7 \geq 11*7[/tex]

[tex]x \geq 77[/tex]

Hope this helps!

a wheel has diameter 84cm.During a journey the wheel make 800 complete revolutions. how many meter does it travel?

Answers

Answer:

2110.08 meters

Step-by-step explanation:

find the circumference of the wheel

Divide 84 by 2 to find the radius.

84/2=42

C=2πr

C=2(3.14)(42)

C=263.76 cm

263.76*800=211008cm

Divide by 100 to convert to meters

211008/100=2110.08

2110.08 Meters

Hope this helps!

how can 1/5 + (-4/5) be modeled on a number line ? complete the sentance. then move 4/5 in the ? direction

Answers

Answer:

negative direction

Step-by-step explanation:

A negative and a positive make a negative:

1/5 + (-4/5) = 1/5 - 4/5

Hope this helps!

Which statement represents the biconditional statement of the conditional statements?
If an angle measures 90º, then the angle is right.
If an angle is right, then the angle measures 90º

1) An angle measures 90º if and only if the angle is right.
2) An angle does not measure 90º if and only if the angle is right.
3) An angle does not measure 90º if and only if the angle is not right.
4) An angle measures 90º if and only if the angle is not right.

Answers

Answer:

1

Step-by-step explanation:

It is the only one that makes sense!

(Apologies since this super late; I hope future students will find this helpful)

Answer:

An angle measures 90º if and only if the angle is right.

Step-by-step explanation:

See the image below :)

Given g(x)=x2-3x+8 evaluate
A) g(4). B) g(-5)

Answers

Answer:

g(4) = 12

g(-5) = 48

Step-by-step explanation:

I will assume that you meant g(x)=x^2 - 3x + 8,

A)  To find g(4), substitute 4 for each instance of 'x' in this function:

g(4) = (4)^2 - 3(4) + 8, or

g(4) = 16 - 12 + 8, or

g(4) = 12

Similarly, g(-5) = (-5)^2 - 3(-5) + 8 = 25 + 15 + 8 = 48

g(-5) = 48

Answer:

A) 12

B) 18

Step-by-step explanation:

A) 4^2 - 3(4) + 8

16 - 12 + 8 = 12

B) -5^2 - 3(-5) + 8

25 + 15 + 8 = 48

chứng minh: x(4+1/3*x+48)=1440

Answers

Step-by-step explanation:

1

3 x2+52x=1440

Step 2: Subtract 1440 from both sides.

1

3 x2+52x−1440=1440−1440

1

3 x2+52x−1440=0

For this equation: a=0.3333333333333333, b=52, c=-1440

0.333333x2+52x+−1440=0

Step 3: Use quadratic formula with a=0.3333333333333333, b=52, c=-1440.

x=

−b±√b2−4ac

2a

x=

−(52)±√(52)2−4(0.333333)(−1440)

2(0.333333)

x=

−52±√4624

0.6666666666666666

x=24,−180

Answer:

x=24,−180

12. The function t = 19m + 65 represents the temperature t (in degrees Fahrenheit)
of an oven after preheating for m minutes.

Answers

The temperature in Fahrenheit after preheating for 2 minutes is 103⁰F

The question looks incomplete but we can as well find the temperature in Fahrenheit after preheating for 2 minutes

Give the function t = 19m + 65 that represents the temperature t (in degrees Fahrenheit) of an oven after preheating for m minutes.

If t = 2,

t = 19(2) + 65

t = 38 + 65

t = 103⁰F

Hence the temperature in Fahrenheit after preheating for 2 minutes is 103⁰F

Learn more here:https://brainly.com/question/16510024

How would I solve this? I believe it's two step, am I correct?

Answers

Answer:

[tex]b=0.8[/tex]

Step-by-step explanation:

1) Subtract 2.7 from both sides.

[tex]-5.3-2.7=-\frac{b}{0.1}[/tex]

2) Simplify -5.3 - 2.7 to 8.

[tex]-8=-\frac{b}{0.1}[/tex]

3) Multiply both sides by 0.1.

[tex]-8[/tex] × [tex]0.1=-b[/tex]

4) Simplify - 8 × 0.1 to - 0.8.

[tex]-0.8=-b[/tex]

5) Multiply both sides by -1.

[tex]0.8=b[/tex]

6) Switch sides.

[tex]b=0.8[/tex]

Answer:

b=0.8

Step-by-step explanation:

[tex]\frac{b}{0.1} = 8\\b= (0.1)(8)\\b=0.8[/tex]

The sum of twice a number and 6

Answers

Answer:

The answer to your question is 4

The sum of twice a number and 6 is 4.

5x= 20 word problem

Answers

[tex]{{ \large{ \blue{ \rm{{↬}}}}}} \large \rm \: \: 5x \: = \: 20[/tex]

[tex]{{ \large{ \blue{ \rm{{↬}}}}}} \large \rm \: \: x \: = \: \cancel\frac{20}{5} \\ [/tex]

[tex]{{ \large{ \blue{ \rm{{↬}}}}}} \large \rm \: \: x \: = \: 4[/tex]

[tex] \mapsto \rm \: 5x = 20[/tex]

[tex] \mapsto \rm \: x = \cancel\frac{20}{5} \\ [/tex]

[tex] \red \mapsto \ \boxed{ \rm \red { = 4}}[/tex]

how much did it cost to transport the following:a) 1000 bags of maize each weighing 100 kg to a distance of 70 km if transportation costs $100 per 100 kg​

Answers

Answer:

100000 $

Step-by-step explanation:

Multiply:

1000*10

100000 $

Helpppppp!!! I don’t understand this!

Answers

Answer:

from a to t

Step-by-step explanation:

a=64°

b=116°

c=116°

d=64°

e=108°

f=72°

g=108°

h=72°

i=108°

j=108°

k=72°

m=105°

n=79°

q=116°

s=75°

t=119°s

Given PQ = 24
PS = 19
PR = 42
TQ = 10
m<PQR = 106°
m<QSR = 49°
m<PRS = 35°


find m<QRS, m<PQS, m<RPS and m<PSQ​

Answers

The shape PQRS is a parallelogram

The measure of angle QRS is 70 degreesThe measure of angle PQS is 53 degreesThe measure of angle RPS is 35 degreesThe measure of angle PSQ is 53 degrees

The given parameters are:

[tex]\mathbf{\angle PQR = 106}[/tex]

[tex]\mathbf{\angle QSR = 49}[/tex]

[tex]\mathbf{\angle PRS = 35}[/tex]

(a) Find QRS

This is calculated as:

[tex]\mathbf{\angle QRS = 2 \times \angle PRS }[/tex]

So, we have:

[tex]\mathbf{\angle QRS = 2 \times 35}[/tex]

[tex]\mathbf{\angle QRS = 70}[/tex]

Hence, the measure of angle QRS is 70 degrees

(b) Find PQS

This is calculated as:

[tex]\mathbf{\angle PQS = \frac 12 \times \angle PQR }[/tex]

So, we have:

[tex]\mathbf{\angle PQS = \frac 12 \times 106}[/tex]

[tex]\mathbf{\angle PQS = 53}[/tex]

Hence, the measure of angle PQS is 53 degrees

(c) Find RPS

This is calculated as:

[tex]\mathbf{\angle RPS = \angle PRQ }[/tex]

Where:

[tex]\mathbf{\angle PRQ = \angle PRS = 35}[/tex]

So, we have:

[tex]\mathbf{\angle RPS = 35}[/tex]

Hence, the measure of angle RPS is 35 degrees

(d) Find PSQ

This is calculated as:

[tex]\mathbf{\angle PSQ =\frac 12 \times \angle PQR }[/tex]

Where:

[tex]\mathbf{\angle PSQ =\frac 12 \times \angle 106}[/tex]

So, we have:

[tex]\mathbf{\angle PSQ =53}[/tex]

Hence, the measure of angle PSQ is 53 degrees

Read more about angles in a parallelogram at:

https://brainly.com/question/12186483

What are the differences and similarities between the the graphs and equations of circles and ellipses?

Answers

Space Environment

A circle is a closed curved shape that is flat. That is, it exists in two dimensions or on a plane. In a circle, all points on the circle are equally far from the center of the circle. An ellipse is also a closed curved shape that is flat.


How can you use a property to write a simplified equivalent
expression?

Answers

Answer:

For example, apply the distributive property to the expression 3 (2 + ) to produce the equivalent expression 6 + 3; apply the distributive property to the expression 24 + 18 to produce the equivalent expression 6 (4 + 3); apply properties of operations to + + to produce the equivalent expression 3.

Step-by-step explanation: hope this helps

A delivery company charges a flat rate of $3 for a large envelope plus an additional $0.25 per ounce for every ounce over a pound the package weighs. The postage for the package is $5.50. How much does the package weigh? (Hint: remember the first pound is included in the S3.)​

Answers

Answer:

1 pound 10 ounces

Step-by-step explanation:

5.50-3.00=2.50

2.50/0.25=10

Write the equation of the line through
(4, 4) and (2, 2) in point-slope form.

Answers

Answer:

y-4=1x-4

Step-by-step explanation:

put in format : y2-y1=m(x2-x1)

y-4 = 1(x-4)

distribute

y-4=1x-4

solve 4n - 8 = 14n + 12
please help <3 ( will give brainliest )

Answers

Basically...

4n - 8 = 14n + 12

Simply collect like terms,

4n-14n=12+8

-10n=20

Divide both sides by -10

n= -2

Please mark BRAINLIEST.

Step-by-step explanation:

[tex]4n - 8 = 14n - 4n \ \\ - 8 - 4 = 14n - 4n \\ - 20 = 10n \\ - \frac{20}{10} = n \\ n = - 2[/tex]

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