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
Irina18 [472]
3 years ago
7

A varsity boy's basketball team has ratio of seniors to juniors that is 7:4. The varsity girl's basketball team has a ratio of s

eniors to juniors that is 3 to 2. If each team has 12 juniors, which team has more seniors?
Mathematics
1 answer:
valentina_108 [34]3 years ago
4 0

Answer:

Girl's basketball team has more seniors

Step-by-step explanation:

A varsity boy's basketball team has ratio of seniors to juniors that is 7:4.

Let there are 7x seniors and 4x juniors in boy's basketball team.

ATQ,

7x+4x = 12

11x = 12

x = 12/11

Seniors = 7\times \dfrac{12}{11}=7.63

The varsity girl's basketball team has a ratio of seniors to juniors that is 3 to 2.

Let there are 7x seniors and 4x juniors in girl's basketball team.

3x+2x = 12

5x = 12

x = 12/5

Seniors = 7\times \dfrac{12}{5}=16.8

As we can see that girl's basketball team has more seniors as compared to the boy's team.

You might be interested in
The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 m
jeka94

9514 1404 393

Answer:

  8000π mm^3/s ≈ 25,133 mm^3/s

Step-by-step explanation:

The rate of change of volume is found by differentiating the volume formula with respect to time.

  V = 4/3πr^3

  V' = 4πr^2·r'

For the given numbers, this is ...

  V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s

_____

<em>Additional comment</em>

By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.

4 0
3 years ago
How to simplify the complex number (9 - 2i) - (-2 + 6i) ?
matrenka [14]
(9 - 2i) - (-2 + 6i) \\ \\ 9 - 2i + 2 - 6i \\ \\ (9+2) + (-2i - 6i) \\ \\ 11 - 8i \\ \\ Answer: \fbox {11 - 8i}
3 0
3 years ago
3. Solve 2log4y - log4 (5y - 12) = 1/2<br>​
Ilia_Sergeevich [38]

Answer:

y =  4  or y = 6

Step-by-step explanation:

2log4y - log4 (5y - 12) = 1/2

​2log_4(y) - log_4(5y-12) = log_4(2)           apply law of logarithms

log_4(y^2) + log_4(1/(5y-12)) = log_4(/2)    apply law of logarithms

log_4(y^2/(5y-12)) = log_4(2)                     remove logarithm

y^2/(5y-12) = 2                                            cross multiply

y^2 = 10y-24                                                  rearrange and factor

y^2 - 10y + 24 = 0

(y-4)(y-6) = 0

y= 4 or y=6

4 0
3 years ago
PLS PLS HELP FIND THE VOLUME!!! PLS PLS I GIVE U ALL MY POINTS
ICE Princess25 [194]

Answer:

1232

Step-by-step explanation:

Step 1: 8x14 to find the base

Step 2: Base times Height

Good Luck! And have a great day!

5 0
3 years ago
Read 2 more answers
Add and/or Subtract the following, Simplify Completely
Margaret [11]
First, we need to equalize the denominator. If the denominator multiplies by (x+1), so does the numerator. If the denominator multiplies by (x-1), so does the numerator.
Look into my attachment at the second row.

Second, because the first fraction and the second fraction have the same denominator, you can join them into one fraction.
Look into my attachment at the third row.

Third, simplify the numerator.
Look into my attachment at the fourth to the fifth row

Fourth, simplify the denominator.
Look into my attachment at the sixth to the seventh row.

3 0
3 years ago
Other questions:
  • A dean polled the sophomore class about their intended majors, then created this graph based on the data.
    9·1 answer
  • What is the next fraction of 1/3, 2/9, 4/27, 8/81
    10·2 answers
  • Carl is boarding a plane. He has 2 checked bags of equal weight and a backpack that weighs 4 kg. The total weight of Carl's bagg
    13·1 answer
  • Whats 0 divide 0 i really want to know
    15·1 answer
  • 1. Evaluate the expression without using a calculator.
    7·1 answer
  • Find the x-coordinates of the points where the graph crosses the x-axis.<br> y = (x - 3)(x + 8)
    7·1 answer
  • The town of Madison has a population of 25000. The population is increasing by a factor of 1.12 each year.
    10·1 answer
  • Which expressions are equivalent to 10 + 4I<br>​
    9·1 answer
  • In the following equation, "a" and "b" are both integers.
    9·1 answer
  • A busload of campers stopped at a dairy stand for ice cream. They ordered 74 cones, some soft serve at 1.50 each and the rest ha
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!