An arts academy requires there to be 3 teachers for every 54 students and 6 tutors for
every 60 students. How many students does the academy have per teacher? Per tutor? How many
tutors does the academy need if it has 130 students?

Answers

Answer 1

Answer: The academy has 18 students per teacher. The academy has 10 students per tutor. The academy needs 13 tutors for 130 students.

Step-by-step explanation:

54/3=18

60/6=10

130/10=13

Answer 2

Answer:

The academy has  19 students per teacher.

The academy has  12 students per tutor.

The academy needs  12 tutors.

Step-by-step explanation:


Related Questions

3. You sell storm windows and doors. You receive a straight

commission of 8% of the selling price of each storm window

and 12% of the selling price of each door. What total

commission will you receive for selling $5,400 in storm

windows and $28,790 in doors?

Answers

Answer:

[tex]\$3886.8[/tex]

Step-by-step explanation:

Commission received on selling each storm window [tex]=8\%[/tex] of the selling price of each storm window

Commission received on selling each door [tex]=12\%[/tex] of the selling price of each door

Amount earned on selling storm windows = $5,400

Amount earned on selling doors = $28,790

Commission received on selling storm windows [tex]=\frac{8}{100}(5,400)=\$432[/tex]

Commission received on selling doors [tex]=\frac{12}{100}(28,790)=\$3454.8[/tex]

Therefore,

Total  commission received [tex]=432+3454.8=\$3886.8[/tex]

-3≤2x-3≤3 solve the inequality and graph

Answers

Answer:

Solve for the inequality 0≤x≤3

Step-by-step explanation:

find the greatest common factor of the terms: 35a⁴b⁸, 49a²b⁵, 14ab⁴?​

Answers

Answer:

7ab^4

Step-by-step explanation:

all of the coefficients have 7 as a GCF. for a and b you can only pull out as much as the lowest term.

that should be correct and hope this helps!

Whats the value of x? 2−(3x−4)=2x−9

Answers

Answer:

x=3

Step-by-step explanation:

Use pemdas!

First use distributive property to get rid of the parenthesis, by multiplying 2 by 3x and -4. Then combine like terms and use inverse operations to simplify each side until you get it down to just x! Hope this helped! :)

You can eat no more than 40 slices of pizza each week. If you have
pizza every day, what is the maximum number of slices (s) you can
eat each day? Round your answer to the nearest tenths place.
i have to create a linear equation and solve it

Answers

Answer: 5.7 slices

Step-by-step explanation:

7x=40. x represents number of slices per day, 7 is because you eat pizza every day and there's 7 days in a week.

Divide both sides by 7:

7x/7 = 40/7

x= 5.7

3. If Duane packs his lunch, it costs about $10.50 for 5 days. If he buys lunch at work, it
costs about $3.50 each day. How much does he save each week by packing a lunch?
(HINT: first find how much it costs to buy lunch for 5 days)

Answers

Answer:

he saves 7 dollars

Step-by-step explanation:

it would cost 17.50 to buy his lunch at work every day

Line Z Y also contains points E and G. A line is drawn from point E to point F, and then to point X. Another line is drawn from F to G to form triangle E F G.
Which statements regarding the diagram are true? Check all that apply.

∠XFG is an interior angle of ΔEFG.
∠EFG is an interior angle of ΔEFG.
∠FEZ is an exterior angle of ΔEFG.
∠YGE is an exterior angle of ΔEFG.
∠EGF and ∠FGY are supplementary angles.
∠FEG and ∠FGE are supplementary angles.

Answers

Answer:

B) ∠EFG is an interior angle of ΔEFG.

C) ∠FEZ is an exterior angle of ΔEFG.

E) ∠EGF and ∠FGY are supplementary angles.

Step-by-step explanation:

EDG 2020

Answer:

B) ∠EFG is an interior angle of ΔEFG.

C) ∠FEZ is an exterior angle of ΔEFG.

E) ∠EGF and ∠FGY are supplementary angles.

Step-by-step explanation:

person above me is correct!

You run 35 yards and score a touchdown. How many feet is that?

Answers

Answer:

105

Step-by-step explanation:

theres 3 feet in a yard

explain how this vertical number line can be used to show that 35,124 rounds 35,000 when rounding to the nearest thousand.

Answers

Answer:

35,124 rounds to 35,000 because 35,124 is less than the midpoint 35,500 so it is closer to 35,000.

Step-by-step explanation:

There ya go, hope this helps! Have a great day :)

if there is 32 pumpkin's and 5 need to be divided then what do u have​

Answers

Answer:

32 divided by 5 is 6.4

Step-by-step explanation:

hope this helps!

The answer to this question is 6.4.

a
b
75°
115°
e
75°
Which lines are parallel? Justify your answer.
Lines a and b are parallel because their alternate
exterior angles are congruent.
Lines a and b are parallel because their same side
exterior angles are supplementary.
O Lines e and fare parallel because their alternate
exterior angles are congruent.
O Lines e and fare parallel because their same side
exterior angles are congruent.

Answers

Answer:

C

Step-by-step explanation:

The lines that are parallel in the image given are: Lines e and f are parallel because their alternate exterior angles are congruent.

What are Alternate Exterior Angles?

When a transversal intersects two parallel lines, the alternate exterior angles that are formed are congruent to each other.

Conversely, if the alternate exterior angles formed are congruent, then both lines that are cut by a transversal are parallel.

Therefore, the lines that are parallel in the image given are: Lines e and f are parallel because their alternate exterior angles are congruent.

Learn more about alternate exterior angles on:

https://brainly.com/question/26111088

Find the measure of the missing angle.
Plzz

Answers

Answer:

a = 38 degrees

Step-by-step explanation:

ok that line is equal to 180 degrees

180 of the line subtract 52 degrees and 90 degrees equal the missing angle

52 + 90 = 142

180 - 142 = 38

a = 38

Can someone please help me asap I’ll mark brainlist

Answers

Answer:

y = 54.5x

Step-by-step explanation:

i divided y by x and 54.5 was the answer for all of them

the answer is d which is 54.5 because when you divide y by x, you get 54.5 every time
hope this helped !

each term of a sequence is 2 more than the previous term. if the third term is 8 find the first five terms of the sequence

Answers

Step-by-step explanation:

T3=8

8=a+2d

where a is first term ,d is common ratio

8=a+2(2)

8=a+4

a=8-4

a=4

first term T1 is 4

T2=a+d

T2=4+2

T2=6

T4=a+3d

T4=4+3(2)

T4=4+6

T4=10

T5=a+4d

T5=2+4(2)

T5=4+8

T5=12

4,6,8,10,12

Find value of -2/3y-3/4=5

Answers

Answer:

-8.625

Step-by-step explanation:

-8 5/8

HELPP PLS I BEG PLSSSS I BEG AHHH

Answers

Answer:

1. correct (3+2) x 5 is 5 squared

2. 125     5 cubed is 125

3. 50       10 squared and divided by 2 is 50

Step-by-step explanation:

1. is correct

2. 5x5x5

   =25x5

    =125

3. 10x10=100

    100/2

     =50

Hope this helps :)

Answer:

(3+2)*5 ---------> 5 squared

5 cubed --------> 125

10 squared divided by 2 ---------> 50

Step-by-step explanation:

First of all, you don't need to beg. It's all right. You got this!

This question is asking us to simplify what is on the left and match it to the right.

(3+2)*5

5*5= 25

5 squared is 5*5 which is equal to 25

5 cubed is 5*5*5 which is equal to 125

10 squared divided by 2

10*10= 100

100/2= 50

Hope this helps!

Find the sum of 4x^(2)+x-4) and (2x^(2)-6x+2)3/5 - ( -1/2)

Answers

Answer:

4x^(2)+x-4 = 0

(2x^(2)-6x+2)3/5 - ( -1/2) = 9

Step-by-step explanation:

Peter's Lawn Mowing Service charges $10 per job and $0.20 per square yard.
Peter earns $25 for a job.

Answers

75 square yards

25-10=15 to get rid of the initial charge, then divide by 0.20 to find out how many square yards. I almost didn't see the question because you didn't really put it in here right

Answer:

10+0.20y=10.2

Step-by-step explanation:

two sides of the triangle are 24 ft and 73 ft. Which of the following could by a side of the triangle A. 49 B. 22 C. 97 D.56


I really need help ​

Answers

Answer:

D.56

Step-by-step explanation:

The third side of the triangle is

73-24 < x< 73+24  by the Triangle Inequality Theorem

49 < x< 97

The only number between 49 and 97 is 56

Kenneth is 10 years older than Andrew. Billy is 2 times as old as Andrew. Cameron is 8 years younger than Andrew. The combined age of the four is 77. How old is each boy?​

Answers

Answer:

[tex]a=15\\b=30\\c=7\\k=25[/tex]

Step-by-step explanation:

[tex]77=a+k+b+c[/tex]

[tex]b=2a[/tex]

[tex]c=a-8[/tex]

[tex]k=10+a[/tex]

[tex]77= a+2a+(a-8)+(a+10)[/tex]

[tex]77=3a+(2a+2)\\77-2=3a+2a\\75=5a\\[/tex]

What is 7 divided by 5

Answers

Answer:

1.4

Step-by-step explanation:

7÷5

5×1=5

7-5=2

bring down the zero and you get 20

5×4=20

7÷5=1.4

Jason bought 10 of the 30 raffle tickets for a drawing. What is the probability that Jason will win all 3 of the prizes if once a raffle ticket wins a prize it is thrown away? StartFraction 6 over 203 EndFraction StartFraction 1 over 27 EndFraction StartFraction 3 over 29 EndFraction StartFraction 1 over 9 EndFraction

Answers

Given:

Total of raffle tickets = 30

Number of tickets Jason bought = 10

Number of prizes = 3

To find:

The probability that Jason will win all 3 of the prizes if once a raffle ticket wins a prize it is thrown away.

Solution:

Total of raffle tickets = 30

Number of prizes = 3

So, number of total outcomes is

[tex]n(S)=^{30}C_3[/tex]

Number of tickets Jason bought = 10

So, number of favorable outcomes is

[tex]n(A)=^{10}C_3[/tex]

Now,

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]\text{Probability}=\dfrac{n(A)}{n(S)}[/tex]

[tex]\text{Probability}=\dfrac{^{10}C_3}{^{30}C_3}[/tex]

[tex]\text{Probability}=\dfrac{\dfrac{10!}{(10-3)!3!}}{\dfrac{30!}{(30-3)!3!}}[/tex]

[tex]\text{Probability}=\dfrac{10\times 9\times 8\times 7!}{7!3!}\times\dfrac{27!3!}{30\times 29\times 28\times 27!}[/tex]

[tex]\text{Probability}=\dfrac{10\times 9\times 8}{30\times 29\times 28}[/tex]

[tex]\text{Probability}=\dfrac{6}{203}[/tex]

Therefore, the correct option is A.

Answer:

The correct answer is A. 6/203

HELP PLEASE ANSWER ALL THREE OF THEM IM TIMED AND IM SUPPOSE TO DO THEM NOW

Answers

Answer:

35.72 is the answer to the problem

As a farmer, Felipe keeps a close eye on the weather. After a few stressful weeks with no rain, Felipe was relieved when it started raining one morning. It rained steadily all day, and Felipe periodically checked to see how much rain had fallen. There is a proportional relationship between the amount of time (in hours) it had been raining, x, and the amount of rain (in inches) that had fallen, y. The equation that models this relationship is y=0.25x. At this rate, how long did it take until 2 inches of rain have fallen? Write your answer as a whole number or decimal.

Answers

Answer:

The time it took until 2 inches of rain fell is 8 hours

Step-by-step explanation:

You know that the proportional relationship between the amount of time (in hours) it had been raining, x, and the amount of rain (in inches) it had fallen, y, is y = 0.25*x

To find the time that passed until 2 inches of rain fell, you must replace the amount of rain (in inches) that had fallen "and" by that value. In this way the following expression is obtained:

2= 0.25*x

Solving:

[tex]\frac{2}{0.25}=x[/tex]

8 = x

So, remembering that the amount of time it had been raining, x, is expressed in hours, the time it took until 2 inches of rain fell is 8 hours.

Answer:

2 inches

Step-by-step explanation:

Im on IXL, and i have the exact same question but the name is emmett instead of felipe, the answer is 2 trust me

I need help with 15.

Answers

Answer:

x = 7

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ÷)

please help
thank you again

Answers

Answer:

True

Step-by-step explanation:

So, again, from the most right column, we can add 5, -6, and -2 to get -3. We now know that every row or column must be equal to -3.

The question is asking if the number square below is -3. We found out from above that is -3 so it's true.

Somebody please help!

Answers

Answer:

17

Step-by-step explanation:

Plug 4 in, instead of x: 3(4) + 53(4) = 3 × 4 = 12Plug 12 in: 12 + 512 + 5 = 17

I hope this helps!

PLEASE HELP it’s so hard

Answers

Answer:

1. #1 is in (0,4), #2 is in (5,4), #3(4,8)

2. 4ft

3. 5ft

4. 6.4ft

5. 3.5ft \

Step-by-step explanation:

Please help! I’m not sure how what this is called please help! Will mark right answer as brainliest

Answers

Answer:

[tex]\frac{7}{3}[/tex]  or  2 [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

entered it into my calculator

geometry, NEED URGENT

Answers

Answer:

12.5

Step-by-step explanation:

6+4 to get 10, the full length of the first side

Divide 10 by 4 to get 2.5 (the scale)

Multiply 5 by 2.5 to get 12.5 in.

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