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
BARSIC [14]
3 years ago
10

For every girl taking classes at the martial arts school, there are 3 boys who are taking classes at the school. if there are 23

6 students taking classes, write and solve a proportion to predict the number of boys taking classes at the school.
Mathematics
2 answers:
just olya [345]3 years ago
6 0
G = number of girls taking the martial arts classes
and
B = number of boys taking the martial arts classes

We know that for every girl, there are 3 boys.  Therefore, the proportion of girls to boys is:
\frac{G}{B} = \frac{1}{3}

When you simplify this ratio by cross-multiplying you get: 
3G = B
When you think about this, it makes sense because you know that there are 3 times as many boys as there are girls.  Therefore you would need to multiply the number of girls by 3 to equal the number of boys in the class.

We know that there are 236 total people in the class, Therefore we know that:
G + B = 236

You can replace the B in the equation above with your simplified ratio to solve, since both contain the variable B:

G + B = 236
is the same as
G + 3G = 236 ->
4G = 236 ->
G = 59

So there are 59 girls in the class, but you need to figure out the number of boys, not girls.  Therefore, subtract 59 from 236 to get to the final answer:

G + B = 236
59 + B = 236
59 + B - 59 = 236 - 59
B = 177

mel-nik [20]3 years ago
4 0

b=177

Step-by-step explanation:

3/4*x/236

708 divide by 4x

x=177



You might be interested in
In a particular class, there are 3 freshmen, 5 sophomores, 11 juniors, and 2 seniors. If the instructor randomly chooses a stude
Monica [59]
Freshmen/total
3/21= 1/7

1/7

Hope this helps!
7 0
3 years ago
Read 2 more answers
I need help!!!
Nataly_w [17]

Answer:

y = 3

Step-by-step explanation:

8(y + 2) = 40 \\ y + 2 =  \frac{40}{8}  \\ y + 2 = 5 \\ y = 5 - 2 \\ y = 3

6 0
3 years ago
Read 2 more answers
Find the length of the third side. If necessary, round to the nearest tenth.<br> 6<br> 14
Romashka-Z-Leto [24]

Answer:

≈ 12.6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the third side, then

x² + 6² = 14²

x² + 36 = 196 ( subtract 36 from both sides )

x² = 160 ( take the square root of both sides )

x = \sqrt{160} ≈ 12.6 ( to the nearest tenth )

8 0
3 years ago
Which one is bigger 95.580 or 95.58
mezya [45]
They're both equal. The zero in 95.580 doesn't matter in this comparison.
5 0
3 years ago
Read 2 more answers
a triangle pyramid with an equilateral base has a side length of 10 centimeters and a surface area of 214.5 square meters. find
sweet [91]
Area of the base = 1/2 * 10 *  5sqrt3 =  25 sqrt3

Total surface area = 25 sqrt3 + 3 *  1/2 * 10 * slant height = 214.5

25 sqrt3 + 15h = 214.5
15h = 214.5 - 25 sqrt3

h =   (214.5 - 25sqrt3() / 15

=  11.41 cm to nearest hundredth
6 0
3 years ago
Other questions:
  • Finding the x and y intercepts x+3y=6
    15·1 answer
  • What is 12.346 as a fraction? <br> Please help
    14·2 answers
  • A 7 foot long board is propped against the wall of a house. The board forms a 60 angle with the ground. How far is the base of t
    11·2 answers
  • Help please, hurry​
    8·1 answer
  • A scientist is working with 4 meters of gold wire. How long is the wire in millimeters?
    15·1 answer
  • Give a power series representation for the function f(x) x^3/(1 + 9x^2)
    6·1 answer
  • I need to know the anwser
    11·1 answer
  • In the diagram shown, line mm is parallel to line nn. Cruz says that ∠4∠4 and ∠6∠6 are congruent angles. Is he correct? Why or w
    13·2 answers
  • 1+1+2+2+3+3+4+4+5+5+6+6+7+7+8+8+9+9+0+0
    10·2 answers
  • What is the solution for this system x+y=6 2x+4y=20
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!