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
cluponka [151]
2 years ago
6

The ratio of shares owned by Michael and Noor is in the ratio 4:7 Michael gives Noor 3 of his shares then the ratio will be 7:15

. How many shares do they each have initially?​
Mathematics
1 answer:
allsm [11]2 years ago
8 0

Answer:

Michael 24

Noor 42

Step-by-step explanation:

Ratio is 4:7

The initial quatity is 4x and 7x

After giving 3 shares the quatities are

4x - 3 and 7x + 3

Set equal to the new ratio

(4x - 3) / (7x + 3) = 7 / 15

Cross multiply

15(4x - 3) = 7(7x + 3)

Distribute

60x - 45 = 49x + 21

Add 45 to both sides

60x = 49x + 66

Subtract 49x from both sides

11x = 66

Divide both sides by 11

x = 6

Therefor

4x = 4*6 = 24 <–––– Michael's initial quantity

7x = 7*6 = 42 <–––– Noor's initial quantity

You might be interested in
Segments CD, AE, and BF are medians of triangle ABC.
EleoNora [17]

Option C: x = 5.5 is the value of x

Explanation:

Given that CD, AE, an BF are the medians of the triangle ABC

Also, given that AM = 4x - 5 and ME=x+3

We need to determine the value of x.

Since, we know that the centroid divides the median in the ratio 2 : 1

Hence, we have,

AM=2\times ME

Substituting the values, we get,

4x-5=2(x+3)

Simplifying, we get,

4x-5=2x+6

Subtracting both sides of the equation by 2x, we have,

2x-5=6

Adding both sides of the equation by 5, we have,

2x=11

Dividing both sides of the equation by 2, we get,

x=5.5

Therefore, the value of x is 5.5

Hence, Option C is the correct answer.

7 0
3 years ago
To save money, a local charity organization wants to target its mailing requests for donations to individuals who are most suppo
Naya [18.7K]

Answer:

(0.55525, 1.24475)

Step-by-step explanation:

Given that to save money, a local charity organization wants to target its mailing requests for donations to individuals who are most supportive of its cause.

                     Men    women

Sample size      5        5

Mean rate        6.2     5.3

Mean diffference = 6.2-5.3=0.9

Std error for difference = 0.25 (given)

Since we have two groups and also sample sizes are very small we can use t significant value for finding out confidence interval

df = 5+5-2 =8

t critical value for 80% two tailed = 1.397

Conf interval 80%

=(0.9-1.397*0.25, 0.9+1.397*0.25)\\= (0.55525, 1.24475)

4 0
3 years ago
What is the greatest number that can be divided evenly into 78 and 104 without leaving a remainder?
irga5000 [103]

Answer:

26 can be divides evenly into 78 and 104 without leaving a remainder

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Please help me it’s math iready for a 7th grader
Artemon [7]

Answer:

m - 7.50 = 12.50

and

m = 7.50 + 12.50

Step-by-step explanation:

The best answers would be:

m - 7.50 = 12.50

and

m = 7.50 + 12.50

First of all, let's figure out what the question is asking us:

The question is asking us to find the amount of money on the gift card

It tells us to use "m" for "the amount of money on the gift card"

Now that we know the following, we can put together the equation

m = the amount of money on the gift card

$7.50 = cost of the book

$12.50 = amount remaining

Since he receives the gift card and then buys a book that costs $7.50, we are going to "have to subtract $7.50 from m". And we know that $12.50 is remaining, so we "make the equation equal to 12.50".

So, let's set up the equation:

m - 7.50 = 12.50

Now that we know the equation, we can solve for "m"

m - 7.50 = 12.50

Step 1: Add 7.50 to both sides.

m − 7.50 7.50 = 12.50 + 7.50

Step 2: Simplify

Answer: m = 20

Another way you can set up this equation is:

m = 7.50 + 12.50

Because we want to find "m", we set it equal to the equation. Since Salim bought a book for $7.50 and had $12.50 remaining, we want to find how much he had on the gift card that made him have $12.50 remaining when he bought the book. So, we have to add 7.50 and 12.50, to find how much is on the gift card.

So, the equation "m = 7.50 + 12.50", makes sense when solving for "m"

Hint: Once you have realized that the equation has Like Terms on the same side you must Combine the Like Terms by either adding them together or subtracting them.

Now that we know the equation, let's solve it

m = 7.50 + 12.50

Step 1: Combine like terms

m = (7.50 + 12.50)

m = 20

Since both equations equal $20 and both make sense, we can conclude that these are the best options.

5 0
2 years ago
DO you mind yo help me please I really need it!
Nastasia [14]
5 times 2 times 8 would equal 80
Answer :80
6 0
3 years ago
Read 2 more answers
Other questions:
  • Hello, I need help with this question, please and thank you.
    8·1 answer
  • A coin is tossed 6 times. Find the probability P(of exactly 4 occurrences of heads).
    12·1 answer
  • SOMEBODY HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    11·2 answers
  • Which axiom is used to prove that the product of two rational numbers is rational
    14·1 answer
  • EXPERTS/ACE/GENIUSES PLZ HELP
    8·1 answer
  • Plzzzz help! i will give brainliest 100 points! Let f(x) = 8x3 + 16x2 − 15 and g(x) = 2x + 1. Find f of x over g of x. A. 4 time
    14·1 answer
  • (2) Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (-2, 2) and point (4, 4) rounde
    14·1 answer
  • (1/5 x 5)^5 help please
    13·1 answer
  • If j = h and k = m, then which expression represents the value of g?
    12·1 answer
  • John spent 30 minutes developing an estimate for a job. The job itself took 2 hours, 45 minutes to
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!