answer.
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
lilavasa [31]
2 years ago
5

Sam has $1,000 to be distributed among two groups equally. Later the first part is divided among five children and second part i

s divided among two brothers. Give the expression that represents how the money distribution between two groups dispersed.
Mathematics
1 answer:
katrin2010 [14]2 years ago
4 0

Let x be the money distributed to the first group and y be the money distributed to the second group.

Then, x + y = 1000

Let c be the money distributed to one child in the first group and b be the money distributed to one brother in the second group.

Then, x = 5c and y = 2b

Hence 5c + 2b = 1000.

You might be interested in
What is 4log1/2^w(2log1/2^u-3log1/2^v written as a single logarithm?
IrinaK [193]
Given:

4log1/2^w (2log1/2^u-3log1/2^v)

Req'd:

Single logarithm = ?

Sol'n:

First remove the parenthesis,

4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)

Simplify each term,

Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:

 log 1/2 (w^4)  + 2 log 1/2 (u) - 3 log 1/2 (v) 
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)

We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):

Thus,

Log of 1/2 (w^4 u^2) - log of 1/2 (v^3) 

then use the quotient property of logarithms which is log of b (x)  - log of b (y) = log of b (x/y)

Therefore, 

log of 1/2 (w^4 u^2 / v^3)

and for the final step and answer, reorder or rearrange w^4 and u^2:

log of 1/2 (u^2 w^4 / v^3)  
8 0
1 year ago
Read 2 more answers
Which percentage of weight was lost if a patient weighed 102 kg and is currently 96 kg?
galina1969 [7]

Answer:

Step-by-step explanation:

you have to make a box like this:

║ ---------- ║------------ ║     label one side percent and the other amount

║   x%     ║    96 kg  ║

║ _    _   _║_____ _║   Now if the patient originally weighed 102 kg which

║100%    ║    120 kg ║    is 100% place the numbers in the bottom box.

║ _  _  _  ║ _   _   _ ║     and if the patient currently weighs 96 kg then let

 Percent     Amount       percentage of the weight lost be x. Now cross multiply.  You should get 100*96=120*x. Simplify that to get 9600=120x, now divide by 120 on both sides and you get 80 so x= 80. But the problem isn't done yet. Now you have to subtract 80% from 100% to find the weight lost, because 80% is the percentage of the current weight. after you have subtracted you get 20

20% of the original weight was lost.

4 0
2 years ago
Use the data in the table to complete the sentence. x y –2 7 –1 6 0 5 1 4 The function has an average rate of change of ________
lora16 [44]

Answer:  To find the average rate of change, evaluate the function at the given points.

Evaluate the difference of the function at the given points.

Divide the difference of the function at the given points with the difference of the given points.

Step-by-step explanation:

The Average of rate is -1.

Everytime it goes up by one the y goes down by 1 so it would be -1.

8 0
1 year ago
Complete the statements for the graph of f(x) = |x|. The domain of the function is . The range of the function is . The graph is
ioda

Answer:

Domain of f(x): All real numbers

Range of f(x):  f(x) \geq0 ---> [0, ∞)

The graph is over the interval (0, ∞)

Step-by-step explanation:

The function absolute value of x that is written: f(x) = | x | assigns only positive values to f(x) at any value of x.

For example, if for f(x) = | x | we make

f(-23) = | -23 | then the absolute value of x "transforms" the number -23 to +23.

Then f(-23) = | -23 | = 23

This means that f(x) will be positive for any value of x.

Therefore, we can conclude that:

Domain of f(x): All real numbers

Range of f(x):  f(x) \geq0 ---> [0, ∞)

The graph is over the interval (0, ∞)

5 0
2 years ago
Read 2 more answers
Last year your professor wanted to study the pattern in class grades. The following table contains a sample of grades collected
Maslowich

Answer:

mean = 78.4

median = 77.5

mode = 75

This is Right - skewed (positive skewness) distribution

Step-by-step explanation:

<u>Mean:-</u>

The mean (average) is found by adding all of the numbers together and dividing by the number of items and it is denoted by x⁻

                                                                                                                           mean =  \frac{64+80+75+98+75}{5}

mean (x⁻ ) = 78.4

The mean of the given data = 78.4

<u>Median:</u>

The median is found by ordering the set from lowest to highest and finding the exact middle.

64 ,75, 80, 98

The middle term of the given data set = \frac{75+80}{2} =77.5

<u>Mode :</u>

The mode is the most common repeated number in a data set.

64 ,75, 75, 80, 98

in data the most common number = 75

<u>Conclusion</u>:-

mean = 78.4

median = 77.5

mode = 75

This is Right - skewed (positive skewness) distribution

   

8 0
1 year ago
Other questions:
  • The circle below is centered at the point (-3/4) and has a radius of length 3 what is its equation??
    15·2 answers
  • Jeff is baking a cake. The recipe says that he has to mix 32 grams of vanilla powder to the flour. Jeff knows that 1 cup of that
    8·1 answer
  • Juli uses 12 ounces of cheese in her potato soup recipe. Her recipe yields 8 servings. If Juli needs enough for 20 servings, how
    14·2 answers
  • Lin made a mixture consisting of 24 ounces of instant tea and 12 ounces of green tea. Approximately how many milligrams of caffe
    7·2 answers
  • In Las Vegas, the hottest recorded temperature is 47?C, and the lowest recorded temperature is -13?C. What is the difference bet
    15·2 answers
  • Let a and b be two positive numbers. If 2a + 3b=6 then the maximum product of these a and b is:
    10·1 answer
  • If c (x) = StartFraction 5 Over x minus 2 EndFraction and d(x) = x + 3, what is the domain of (cd)(x)?
    8·2 answers
  • At a financial institution, a fraud detection system identifies suspicious transactions and sends them to a specialist for revie
    11·1 answer
  • 3/4 of a piece of metal has a mass of 15kg.what is the mass of 2/5 of the piece of metal
    6·1 answer
  • Roger has 4 gallóns of orange juice. He puts the same amount of juice each of 5 pitchers. How many gallons of orange juice are i
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!