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
nlexa [21]
3 years ago
9

A group of 86 people consist of men women and children. There are twice as many women then there are men. There are 6 more child

ren than there are women. How many men women and children in group
Mathematics
1 answer:
weqwewe [10]3 years ago
8 0

Answer: 16 men

32 women

38 children

Step-by-step explanation:

Let x represent the number of men in the group.

Let y represent the number if women in the group.

Let z represent the number of children in the group.

A group of 86 people consist of men women and children. This means that

x + y + z = 86 - - - - - - - - - - - - 1

There are twice as many women than there are men. It means that

x = y/2

There are 6 more children than there are women. This means that

z = y + 6

Substituting x = y/2 and z = y + 6 into equation 1, it becomes

y/2 + y + y + 6 = 86

multiplying through by 2, it becomes

y + 2y + 2y + 12 = 172

5y = 172 - 12 = 160

y = 160/5 = 32

x = y/2 = 32/2

x = 16

z = y + 6 = 32 + 6

z = 38

You might be interested in
Hurry pls Its timed
suter [353]

Answer:

y = 9

Step-by-step explanation:

We notice that both points have a y-coordinate of 9. Since they are the same, the equation must be y = 9 because the function can't "dip" or "rise", otherwise it would be a piecewise function and not a linear function. The equation y = 9 basically means that no matter what x is, y will always be 9.

7 0
3 years ago
Read 2 more answers
Please answer ASAP! All help is deeply appreciated! Stay safe!
NNADVOKAT [17]

Answer:

C. 150

Step-by-step explanation:

60+150+120+270=600

600/4=150

5 0
3 years ago
Examine A ABC below.
Roman55 [17]

Answer:

  • DE║AC

Step-by-step explanation:

<u>Given relationships:</u>

DE = 2 AC

  • Incorrect. Should be DE = 1/2 AC

DE║AC

  • Correct

m∠BCA = 2(m∠BED)

  • Incorrect. Should be m∠BCA = m∠BED

DE = AC

  • Incorrect. Should be DE = 1/2 AC
8 0
3 years ago
Please help me. I need help please.
Mice21 [21]

Answer:

The correct options are;

EFGH has 4 congruent sides

Diagonal FH bisects angles EFG and EHG

Angle FEH is congruent to angle FGH

Step-by-step explanation:

1) Given that for a reflection, we have;

The distance of the reflected preimage from the line of reflection = The distance of the reflected image from the line of reflection

Therefore;

The distance of the point E from the line HF = The distance of the point G from the line HF

Also the reflection of an preimage (x, y) about the x-axis, gives an image (x, -y)

We can show that from the length of a line given by the equationl = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}, that the length EH ≅ GH and EF ≅ GF

Therefore since we are given that EH = EF, we have;

EH = GH = GF = EF by the definition of congruency, which gives 4 congruent sides

2) Given that EH = GH = GF = EF and HF = FH by reflective property, we have;

ΔEHF ≅ ΔGHF

∴ ∠GHF ≅ ∠EHF by Congruent Parts of Congruent Triangles are Congruent

Similarly, ∠GFH ≅ ∠EFH

Therefore, ∠GFH = ∠EFH and ∠GHF = ∠EHF

Therefore, diagonal FH bisects angles EFG and EHG

3) Given that ΔEHF ≅ ΔGHF, we have;

Angle FEH is congruent to angle FGH, by Congruent Parts of Congruent Triangles are Congruent

7 0
3 years ago
Please Find the surface area of the sphere. Round your answer to the nearest hundredth.
Lorico [155]
The first thing I did was to be a part of the world and the other is a great way to get the best out of the way and I have to say that I am not a fan of the most important things to do in the future and the other is a great way to get the best out of the way and I have to say that I am
7 0
3 years ago
Other questions:
  • I need help is it A B C or D
    14·1 answer
  • What is -1 + (4 + 9) = (-1 + 4) + 9 property?
    10·2 answers
  • A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 32
    5·2 answers
  • Choose the correct simplification of the expression −6x2(4x − 7x2 − 2)
    11·2 answers
  • The amount you pay for a car is not usually the "sticker price", which may be the starting price . The price of a car was reduce
    13·1 answer
  • When Lucas first opened his bank account, he deposited x amount of
    5·1 answer
  • PLS HELP I NEED AN ANSWER ASAP
    5·2 answers
  • The diagram below shows 4-sided shape categories that flow from one to another.
    8·1 answer
  • Please help me I have no idea what I am doing so could u please help me with this it’s from Khan academy
    9·2 answers
  • X -6,-3,0,3,6 y 0 1 2 3 4 which equation contains the coordinate parts given in the table
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!