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
Orlov [11]
3 years ago
11

The ratio of boys to girls in a group is 7:1. If there are 66 more boys than girls, work out how many girls there are

Mathematics
1 answer:
IRISSAK [1]3 years ago
3 0

Answer:11

Step-by-step explanation:

Boys : girls=7:1

Sum of ratio=7+1=8

Let number of girls be y

Then number of boys=y+66

Total number of pupils=y+y+66

Total number of pupils=2y+66

girls only=(girl ratio)/(sum of ratio) x (total number of pupils)

y=1/8 x (2y+66)

Cross multiply

y x 8=2y + 66

8y=2y + 66

Collect like terms

8y-2y=66

6y=66

Divide both sides by 6

6y/6=66/6

y=11

There are 11 girls

You might be interested in
Someone help me with this geometry homework !!!!!! 10 points!
Reil [10]

Answer:  3a = (0, 1)       3b = (2, 1)      3c = (2.5, 1)      3d = (1.6, 1)

               4a = (2, 3.5)             4b = (2, 3)           4c = (2, 5.375)

<u>Step-by-step explanation:</u>

The length of AB is 6 and is horizontal (affects the x-coordinate)

3a)\quad 6\bigg(\dfrac{1}{2}\bigg)\quad =3\qquad \qquad A(-2, 1) +(3, 0)= C(1,1)\\\\\\3b)\quad 6\bigg(\dfrac{2}{3}\bigg)\quad =4\qquad \qquad A(-2, 1) +(4,0)= C(2,1)\\\\\\3c)\quad 6\bigg(\dfrac{3}{4}\bigg)\quad =\dfrac{9}{2}\qquad \qquad A(-2, 1) +(4.5,0)= C(2.5,1)

3d)\quad 6\bigg(\dfrac{3}{5}\bigg)\quad =\dfrac{18}{5}\qquad \qquad A(-2, 1) +(3.6,0)= C(1.6,1)

***********************************************************************************

The length of AB is 5 and is vertical (affects the y-coordinate)

4a)\quad 5\bigg(\dfrac{1}{2}\bigg)\quad =\dfrac{5}{2}\qquad \qquad A(2, 1) +(0,2.5)= C(2,3.5)\\\\\\4b)\quad 5\bigg(\dfrac{2}{5}\bigg)\quad =2\qquad \qquad A(2, 1) +(0,2)= C(2,3)\\\\\\4c)\quad 5\bigg(\dfrac{7}{8}\bigg)\quad =\dfrac{35}{8}\qquad \qquad A(2, 1) +(0,4.375)= C(2,5.375)

4 0
3 years ago
What is nth for 4, 8, 16, 32?
daser333 [38]

Answer: nth=4x

Step-by-step explanation: 4,8,16,32

So when x=1 nth=4

Then 4x should be the answer we need to find any term

7 0
3 years ago
The volume of a right cylinder is V = πr2h. If we have an oblique cylinder, like in the figure, what is the volume of a cross-se
olchik [2.2K]
Since you did not attach any picture we cannot say for sure what is the correct answer, but we can discuss the options in order to find the most probable correct answer.

First of all, according to the Cavalieri's principle, an oblique cylinder has the same volume as a right cylinder with the same base surface area and same height.
A cross-section of an oblique cylinder will be a small right cylinder with the same base surface area and a height as small as possible.

I guess the oblique cylinder has height h and it is divided into many (probably 10) cross-sections.

Option A: <span>πr2h
This is exactly the volume of the right cylinder, therefore, unless you are given a cross-section of height h (which would be too easy), this won't be the correct answer.

Option B: </span><span>4πr2h
This is 4 times the right cylinder. Again, here the height of the cross-section should</span> be 4h, but it doesn't sound like a possible data (too easy again).

Option C: <span>1 10 πr2h
Here comes a n issue with the notation: I think the right number you meant to write is (1/10)</span>·πr2h and not 110·<span>πr2h.
If I am right, this means that your oblique cylinder of height h is divided into 10 cross-sections, and therefore the volume of each of these cross-sections will be a tenth of the volume of the oblique cylinder, which means </span>1/10·<span>πr2h.

Option D: </span><span>1 2 πr2h
Here, we have the same notation issue as before. I think you meant (1/2)</span>·<span>πr2h.
Here, your oblique cylinder height h should be divided into only 2 cross-sections. Now, we said the cross-section's height should be the smallest as possible, so an oblique cylinder divided only into two pieces doesn't sound good.

Therefore, the most probable correct answer will be C) </span>(1/10)·<span>πr2h</span>
8 0
3 years ago
Read 2 more answers
* please explain work / show it thxsss!!**
serious [3.7K]

Answer:

All you need to do is to calculate the perimeter of the circle since you already had the diameter

Base on the picture, the perimeter should be:

C = d * π = 64 * 3.14 = 200.96 (m)

8 0
3 years ago
Please help ASAP! Willing to give brainliest if correct!
Vsevolod [243]

An equal mass of silver will displace a different volume of fluid than that displaced by gold.

<h2>Archimedes principle</h2>

According to the Archimedes principle, when an object is partially or completely immersed in water, the object will experience a force that displaces its own weight of fluid.

Therefore, when the jeweler deceptively replaced “an equal weight” (or equal mass) of gold with silver, we can know that by observing the volume of water displaced in each case. An equal mass of silver will displace a different volume of fluid than that displaced by gold.

Learn more about Archimedes principle: brainly.com/question/13106989

6 0
3 years ago
Other questions:
  • HELP PLEASE FAST
    6·1 answer
  • Which square root is NOT a whole number? <br><br> 121<br><br> 144<br><br> 169<br><br> 184
    12·2 answers
  • Need help with can someone help pls​
    11·2 answers
  • PLEASE help me solve this question! No nonsense answers please!
    8·1 answer
  • It takes 14 electricians 18 days to wire a new housing subdivision. How many days would it take 24 electricians to do the same j
    15·2 answers
  • The heat evolved in calories per gram of a cement mixture is approximately normally distributed. The mean is thought to be 100,
    12·1 answer
  • Evaluate the function f(x) = 2x3 - 6x + 1 for f(-2).
    12·1 answer
  • Please help asap!<br>hhhhhhhhhh​
    6·1 answer
  • Jose works at a computer store. He makes 11.25 per hour plus $30 for every computer he sells. In one week he sold 11 computers a
    8·1 answer
  • Can someone help me asap
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!