1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marusya05 [52]
3 years ago
11

An arts academy requires there to be 5 teachers for every 75 students and 3 tutors for every 30 students. How many students does

the academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has 110 students​?
Mathematics
2 answers:
Tanya [424]3 years ago
7 0

Answer:

15=teach 10=tutor

Step-by-step explanation:

5/75 = 15

3/30=10

masha68 [24]3 years ago
5 0

Answer:

it would be 3 tutors and 15 students for each teacher

Step-by-step explanation:

3×30=90 so 30 can go into 110 3 times witch will be 90. next 75÷5=15

You might be interested in
A quadtratic equation that has x intercepts of -8,0 and 2,0 and has a vertical stretch of 3
Paladinen [302]

Answer:

f(x) = 3(x + 8)(x - 2)

Step-by-step explanation:

The intercept form of a quadratic function is y = a(x - r)(x - s), where r and s are the x-intercepts and a is the vertical stretch/compression factor.

If the intercepts are at (-8, 0) and (2, 0), and the vertical stretch is 3, just substitute these values into the intercept form formula, and you're done!

Please mark as Brainliest! :)

7 0
3 years ago
Devon worked for Mr.greene on four days last week.He was paid a total of $120 for the four days of work. If he worked 2 hours ea
sammy [17]
It'll be 60 if you divided there is your actually answer
8 0
3 years ago
NO LINKS!!! Part 2: Find the Lateral Area, Total Surface Area, and Volume. Round your answer to two decimal places.​
slava [35]

Answer:

<h3><u>Question 7</u></h3>

<u>Lateral Surface Area</u>

The bases of a triangular prism are the triangles.

Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the triangles (bases).

\implies \sf L.A.=2(10 \times 6)+(3 \times 6)=138\:\:m^2

<u>Total Surface Area</u>

Area of the isosceles triangle:

\implies \sf A=\dfrac{1}{2}\times base \times height=\dfrac{1}{2}\cdot3 \cdot \sqrt{10^2-1.5^2}=\dfrac{3\sqrt{391}}{4}\:m^2

Total surface area:

\implies \sf T.A.=2\:bases+L.A.=2\left(\dfrac{3\sqrt{391}}{4}\right)+138=167.66\:\:m^2\:(2\:d.p.)

<u>Volume</u>

\sf \implies Vol.=area\:of\:base \times height=\left(\dfrac{3\sqrt{391}}{4}\right) \times 6=88.98\:\:m^3\:(2\:d.p.)

<h3><u>Question 8</u></h3>

<u>Lateral Surface Area</u>

The bases of a hexagonal prism are the pentagons.

Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the pentagons (bases).

\implies \sf L.A.=5(5 \times 6)=150\:\:cm^2

<u>Total Surface Area</u>

Area of a pentagon:

\sf A=\dfrac{1}{4}\sqrt{5(5+2\sqrt{5})}a^2

where a is the side length.

Therefore:

\implies \sf A=\dfrac{1}{4}\sqrt{5(5+2\sqrt{5})}\cdot 5^2=43.01\:\:cm^2\:(2\:d.p.)

Total surface area:

\sf \implies T.A.=2\:bases+L.A.=2(43.01)+150=236.02\:\:cm^2\:(2\:d.p.)

<u>Volume</u>

\sf \implies Vol.=area\:of\:base \times height=43.011193... \times 6=258.07\:\:cm^3\:(2\:d.p.)

8 0
2 years ago
The area of a rectangle is greater than 60 ft. The width of the rectangle is 2x - 3 ft and the
34kurt

Answer:

Inequaliy: 2x-3(12)>60

X>48

Step-by-step explanation:

Since area of a rectangle is W(L)=A

The inequality given right here including length And width and area Plugged in would be

2x-3(12)>60.  (It’s >60 because the area stated in the problem said to be greater then 60 so we put a Greater then sign)

Combine like terms and solve

2x-36>60

Add 36 on both sides

2x>96

Divide 2 on both sides to isolate variable

x>48

Check:

2(50)-36>60 ( I used 50 because it’s greater then 48 and it’s a easy number to work with for just a check)

solve:

100-36>60

64>60✔️

7 0
3 years ago
Chris found out that animators earn an average salary of $46,885 for 12 months. How much does an animator earns per month? Set u
Reptile [31]

Answer:

345:675=243$

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • How to round 295,245 to the nearest integer?
    5·1 answer
  • What is the length of AC ?<br><br><br><br><br><br> Enter your answer in the box.<br><br><br> =units
    11·1 answer
  • Guys please help me <br><br> this is a system of equation word problem
    7·1 answer
  • Find the value of x.
    8·1 answer
  • Which of the following equals the difference between the total surface area and base area of any three-dimensional figure?
    10·2 answers
  • A pair of shoes was priced $35, but were on sale for $25 . What is the percent of discount?
    15·2 answers
  • Write the equation of a line with a slope of zero that contains the point (4,2).
    15·1 answer
  • 7x ^ 3 - 4x ^ 2 - x + 4 is a polynomial. a Write the coefficient of x ^ 2 . What is the degree of the polynomial ?
    8·2 answers
  • What is the point on the unit circle for the angle below?
    5·1 answer
  • Suppose Mei has read 7 books. Write and solve a division equation to find the number of points she has earned.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!