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
andreyandreev [35.5K]
3 years ago
6

Ratio of the number of students in art class to the number of students in gym class was 2:7, however art class is small, and gym

class is large, students changed for the second semester. Now the students in art class to the number students in gym class is 5:4. If 75 students are in art class in second semester, how many were in art class and gym class first semester?
Mathematics
1 answer:
xenn [34]3 years ago
7 0
Semester 1:

let the number of students in the art class be 2a, and the number of the students in the gym class be 7a. (check: the ratio is 2a:7a = 2:7)

so the total number of students is 9a.


semester 2:

the 9a students are go to the art class and gym class at a a ratio of 5: 4, 

so 5a students go to the art class, and 4a students go to the gym class.



<span>75 students are in art class in second semester means that 5a=75, 

so a=75/5=15.


In the 1st semester the number of students was: 

art class: 2a=2*15=30

gym class: 7a=7*15=105
</span>
You might be interested in
Place these numbers on the number line. 1/4, 2/3, 3/4, 6/8
Lelu [443]
The best way to put them into a number line is to make sure that they've all got the same denominator, which in this case, will be 24, as this is the lowest common multiple of 3,4 and 8. You will then need to multiply these fractions accordingly. The first one (1/4) will need to be multiplied by 6 to get a denominator of 24, so this will then give you a result of 6/24. The second one (2/3), will need to be multiplied by 8, which will then give you a result of 16/24. The third one (3/4)will also need to be multiplied by 6, giving you 18/24. The final one (6/8) will need to be multiplied by 3, giving you 18/24. You will then need to put these in order, which will be- 1/4, 2/3, 3/4, and 6/8. The alternative method is to turn these into decimals- 1/4 is equivalent to 25%, which is equal to 0.25. 2/3 is equivalent to 66.66%, which is equivalent to 0.66. 3/4 is equivalent to 75%, which is equal to 0.75. 6/8 is also equivalent to 75%, which is equal to 0.75, you can then easily line them up this way. Hope this has been able to help you
4 0
3 years ago
4. Stella is running in the 90 meter dash at her school track meet. If her speed is
ludmilkaskok [199]
It would take her about 15 seconds
3 0
3 years ago
△HES ≅ △PBN, HE = 3.9 cm, SB = 0.9 cm, and NS = 4.5 cm<br><br> What is the length of ES ?
Natali5045456 [20]
 ns +sb = 5.4 cm

sb = en so en can be plugged in for sb

therefor es = 5.4
3 0
3 years ago
Find the measure of each interior angle. Round to the nearest hundredth.
Butoxors [25]

Answer:

x = 76.80°

4x - 142 = 165.18°

x/5 = 15.36°

5x/9 + 60 = 102.66°

Step-by-step explanation:

Total angle in a quadrilateral is 360

x + 4x - 142 + x/5 + (5/9)x + 60 = 360

259x/45 + - 82 = 360

259x/45 = 442

x = 76.7953668

x = 76.80°

4x - 142 = 165.18°

x/5 = 15.36°

5x/9 + 60 = 102.66°

8 0
3 years ago
Which set of coefficients of the terms in the expansion of the binomial (x+y)^3 is correct ?
BigorU [14]
We are technically FOILing this out... with a power of 3.

(x+y)(x+y)(x+y)

So we can first factor out the first two "x+y"s.

( x^{2} +2xy + y^{2} ), multiplied by the last "x+y".

x^{3} +3 x^{2} y +3x y^{2} + y^{3}

Coefficients are the number that comes in front of a variable. 

In this case, 1 comes in front of x^{3}, 3 comes in front of x^{2} y, 3 comes in front of x y^{2}, and 1 comes in front of y^{3}.

Thus: 1, 3, 3, 1.
         Answer Choice A
4 0
3 years ago
Read 2 more answers
Other questions:
  • In a quadrilateral ABCD, the diagonals bisect each other at point T. Based on the given information which statement is presented
    9·1 answer
  • Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest w
    12·2 answers
  • Can somebody just finish this probability maze for me?
    13·1 answer
  • A model rocket is shot straight up from the ground. The height, h (in meters) after t seconds is approximated by: h(t) = 15 + 23
    9·1 answer
  • Write y=x - 5 in standard form
    13·1 answer
  • Abcd is not drawn to scale. based on the diagonal measures given abcd
    9·1 answer
  • What is the name of the place value of 9 in 199
    7·2 answers
  • 3(-5)(-1)(-2) evaluate please thank you :D
    14·2 answers
  • Who can help me ASAP
    7·1 answer
  • What are the solutions to 2(x+1^2)=18
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!