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
patriot [66]
3 years ago
7

In a beauty contest,half th number of the experts voted for Mr A and two thirds voted for Mr B.10 voted for both and 6 did not v

ote for either.How many experts were there in all?​

Mathematics
1 answer:
kakasveta [241]3 years ago
7 0

Answer

24 experts

Step-by-step explanation:

As shown in the diagram,we let

U=[Total number of experts who voted]

\implies n(U)=x

This implies that the number of experts who voted for Mr A in terms of x is

\frac{1}{2}x

And in terms of x, the number of experts who voted for Mr B is

\frac{2}{3}x

From the diagram, we can write the below equation,

x= \frac{1}{2}x - 10 + 10 +  \frac{2}{3}x - 10 + 6

x -  \frac{1}{2}x -  \frac{2}{3}x = 4

We multiply through by the L.C.M (is that 6) to get,

6x - 3x - 2x = 24

x = 24

You might be interested in
Explain how finding 7x20 is similar to similar to finding 7x2000.then find each product
notka56 [123]
They are both similar because you just have to multiply 7 x 2 and then add the zeros. 7 x 20 is 140 and 7 x2000 is 14000
7 0
4 years ago
Read 2 more answers
Hardest math question ever
ohaa [14]
<h2>Part a)</h2>

You can name planes by one letter or using three points belonging to it that are <u>not</u> on the same line.

Another name for plane X could be:

  • Plane ABF, Plane BCF or Plane ACF. You may also get different names by reordering the three letters.

<h2>Part b)</h2>

Coplanar means 'on the same plane'.

The points on the same plane as point A are:

  • B, C and F.

<h2>Part c)</h2>

Collinear means 'on the same line'.

Other points on the same line as point C are:

  • A or B.

<h2>Part d)</h2>

The line that intersects ED is:

  • AC, it can be also named AB or BC.

5 0
1 year ago
Please help me.........
marishachu [46]

Answer:

126 square feet

Step-by-step explanation:

The formula for the area of a triangle is ...

A = (1/2)bh . . . . . where b is the base length and h is the height

Here, you have a triangular face that has a base of 6 ft and a height of 14 ft. Its area is ...

A = (1/2)(6 ft)(14 ft) = 42 ft^2

The lateral area of the pyramid consists of 3 such triangles, so the lateral area is ...

LA = 3·(42 ft^2) = 126 ft^2

6 0
3 years ago
Finsh the lyric: Time to go the distance
igomit [66]
I believe I can fly, I believe I can’t touch the sky.
8 0
3 years ago
Read 2 more answers
15x – 4y = 18<br> As a fraction?
Margaret [11]

Answer:

2(9+2y)/15 Hope this helped!!

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • If this table reflects the supply of and demand for tickets to a particular World Cup soccer game, what is the stadium capacity?
    8·1 answer
  • Alex has 48 stickers this is 6 times more stickers than Max has. how many stickers does Max have?
    5·1 answer
  • I need help with this math. Thanks in advance
    5·1 answer
  • Find the equation of the line parallel to y=4x-10 containing (5,-6)
    10·1 answer
  • What is the length of the third side of a right triangle if it is known that the two of the sides have lengths 5 and 13. How man
    6·2 answers
  • How to expand the following problem
    8·1 answer
  • The base angle theorem is written as a conjecture,"if two sides of a triangle are congruent, then the angles opposite of them ar
    15·1 answer
  • Please help! it’s due really soon :/
    8·2 answers
  • I need help quick!!!!!!!!!!!!!!!!!
    11·1 answer
  • Add 1.5×107 to 2.7×109.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!