Three students, Matthew, Thompson and Amos shared #15000 in the ratio of 5:2:x respectively. If Matthew's share is 7500, calculate the value of x. ​

Answers

Answer 1

Answer:

The value of x is 3.

Step-by-step explanation:

Matthew earned 7500 of 15000, that is, 1/2.

Rate of 5:2:x, with number 5 corresponding to Matthew, mean that his fraction of the earnings is given by:

[tex]\frac{5}{5 + 2 + x} = \frac{5}{7 + x}[/tex]

Since he earned 1/2 of the total:

We have that 5/(7+x) = 1/2. So we use this to find x.

[tex]\frac{5}{7 + x} = \frac{1}{2}[/tex]

Applying cross multiplication:

[tex]7 + x = 10[/tex]

[tex]x = 10 - 7[/tex]

[tex]x = 3[/tex]

The value of x is 3.


Related Questions

work out the value of (6-2.5)( 8+4)​

Answers

Answer:

42

Step-by-step explanation:

Uh, I'm guessing what is being asked here is to solve, so, time to distribute.

(6 - 2.5)(8 + 4)

48 + 24 - 20 - 10

42

Miguel is staining a wooden box. To determine how much stain he needs, he'll need to find the surface area of the box. True False

Answers

Answer:

True

Step-by-step explanation:

Miguel is staining a wooden box. he needs to find the surface area of the box

We have given that,

Miguel is staining a wooden box.

To determine how much stain he needs, he'll need to find the surface area of the box.

We have to determine statement is true or false.

What is the surface area of the box?

To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Therefore he needs to find the surface area of the box

and it is a true statement.

To learn more about the box visit:

https://brainly.com/question/26161002

#SPJ2

sharon runs 7/10 mile mile in 6 minutes. How many miles does she run in one minute? In one hour?

Answers

Answer:

7/60 miles in one minute

7 miles in one hour

Step-by-step explanation:

7/10 = 6 minutes

/6        /6

7/10  / 6 =    7/10 * 1/6 =  7/60

B. 7/10 = 6 minutes

     *10         *10

7/10 *  10 =   70/10  = 7 miles

7 miles = 60 minuites

HELP ME PLEASEEEEEEEEE

Answers

Answer:

is it 56 units²? if not sorry

What is the total surface area of the square pyramid whose net is shown?

Answers

Answer:

1,600 sq. inches

Step-by-step explanation:

Area of a triangle:

bh/2

= (20 x 30)/2

= 600/2

= 300

Area of square:

s^2

= 20^2

= 400

Four triangles:

300 x 4

= 1200

Total:

1200 + 400

= 1600

please ..........help me ​

Answers

Answer:

First statement: 10 road workers take 5 days to complete a work, working 2 hours a day.

Let us calculate how many days 2 workers will need, if they were to work at the same pace (i.e. each working 2 hours a day). The workforce is now decreased to 2 divided by 10 = 1/5 (i.e. one-fifth).

Therefore proportionately, the time will increase to 5 days divided by 1/5, (i.e. 5 / (1/5) = 25 days.

We now know that 2 workers will need 25 days to finish the work, if they work for 2 hors a day.

Now the question is what will happen if the two people work 5 hours per day, instead of 2 hours per day?

The labor they put in has increased to 5 divided by 2 = 2.5 (i.e. 2 and half times).

Consequently, the time needed to finish the work will decrease to 25 divided by 2.5 (i.e. ( 25 / 2.5 ) = 10. days.

The answer : 10 Days.

If you got your 60% discount and opened up the card for an additional 20%, what is the actual % discount you would receive?
Please do not answer with link

Answers

Answer:

80 I guess.................

Peter loves to play soccer. He practices 30 minutes on the first day, 36 minutes on the second day, 43.2 minutes on the
third day. He keeps up this pattern for the entire month of October. How much time, in total, will he have practiced after 31
days? Round to the nearest thousandth.

Answers

Answer:

I don't have the ability to actually find the answer right now,

Step-by-step explanation:

but the numbers are increasing by 1/5 per number, so do with that what you will

plsss heelp meeee i have been stuck on this for days

Answers

Answer: Step-by-step explanation:

-z<-7

z>7

7.1

8

12

-12, -8, -7.1
The numbers that are further away of -7 have a smaller value bc their negative :) if this is right mark and brainliest

A certain disease has an incidence rate of 0.6%. If the false negative rate is 8% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease.

Answers

Answer:

0.1562 = 15.62% probability that a person who tests positive actually has the disease.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Tests positive

Event B: Has the disease.

Probability of a positive test:

100 - 8 = 92% of 0.6%(person has the disease).

3% of 100 - 0.6% = 99.40%(person does not have the disease). So

[tex]P(A) = 0.92*0.006 + 0.03*0.994 = 0.03534[/tex]

Probability of testing positive and having the disease:

92% of 0.6%. So

[tex]P(A \cap B) = 0.92*0.006 = 0.00552[/tex]

Probability that a person who tests positive actually has the disease.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.00552}{0.03534} = 0.1562[/tex]

0.1562 = 15.62% probability that a person who tests positive actually has the disease.

1 x2 + 7x + 12 = ________________________

2 x2 - 3x - 10 = _________________________

3 x2 - 25 = _________________________

4 x2 - 100 = ________________________

5 4x2 - 9 = _________________________

6 16x2 - 121 = _________________________

7 x2 + 6x - 24 = _________________________

8 x2 - y2 = _________________________

9 81 - x2 = _________________________

10 36x2 - 100y2 = _________________________

Factor each expression

Answers

Answer:

1. 9x +12

2.  -x = -10

3. x+25/2

4. 2 (x - 50)

5. 8x - 9

6. 32x - 21

7. 8x - 24

8. 2 (x - y)

9. x - 81/2

10. 72x - 200y

Step-by-step explanation:

hope this helps!! :)

20 POINTS!!!!!The monthly salary of an employee with 33 hours of training can be written as

Answers

Answer:
B

Explanation:

Function f is an exponential function that is negative on the interval (-∞, 1) and positive on the interval (1, ∞). Which could be the graph of function f?

Answers

Answer:

The correct answer is this graph

Step-by-step explanation:

I just took the test #plato

Answer:  the answer is C, but make sure the C has the the line crossing on 0 and -1

Step-by-step explanation:

Took Test om Plato.

What is the probability of choosing a 6 of clubs that's also a red card from a deck of cards? Type your answer as a fraction.

Answers

Answer: [tex]\dfrac{1}{52}[/tex]

Step-by-step explanation:

Given

We need to choose 6 of clubs that's also a red

A deck contains 13 cards of clubs, and 6 of clubs is the only red card i.e. favorable outcome is 1 out of 52 cards

Probability is the ratio of favorable to the total outcomes

[tex]\Rightarrow P=\dfrac{1}{52}[/tex]

lol, A triangle has sides of length 25, 16, and 7. Is this a right triangle? Justify your answer using mathematics.

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

The given side lengths do not form a triangle of any kind.

  [tex]7+16\ngtr 25[/tex]

What is the C term in this problem: x^2+3x+2

Answers

Answer:

2

Step-by-step explanation:

Cuz the form is Ax^2 + bx + c

A = 1 (imaginary)

B = 3

C = 2 (same as y-intercept)

What is the interest rate on a savings account of $10,000 that earns $2,000 after 4 years?

Answers

Answer:

5%

Step-by-step explanation:

2000/4=500 per year in interest

500/10000=.05 or 5%

For the right triangle above, which is closest to the value of x?
A .12
B. 18.8
C. 09
D. 20

Answers

The correct answer is c

what is -2-5(-2-7i) simplify with full working?

Answers

Please give thanks and brainliest if correct!

Evaluate the radical expression. Express your answer as an integer, simplified fraction, or a decimal rounded to two decimal places. If the expression does not represent a real number, indicate "Not a Real Number" ​

Answers

Answer:

undefined

Step-by-step explanation:

the expression is undefined in the set of real numbers

( HOPE THIS HELPED)

Angle ABC and angle CBD are complimentary .CBD has an angle of 38 degrees What is the value of x?

Answers

Answer:

what school you do i think im on that

on thatStep-by-step explanation:

Answer:

142

Step-by-step explanation:

Complimentary means 180 degrees, so you have to subtract 38 from 180:

180

-38

142

Please help

Complete the square
to find the vertex
of this parabola.
y2-8x+2y+17=0
([?], [ ]

Answers

Answer:

the answer is 2,-1 please mark me brainless thank you

Answer:

The answer would be (2,-1)

Step-by-step explanation:

Fill in 2 and then -1

if the circle is 2 inches what will the circumference be round to the nearest 10th​

Answers

6.283 this would be the circumference the nearest tenth would be 6.28

NO LINKS OR ELSE YOU'LL BE REPORTED! Please give me the correct answer.Only answer if you're very good at math.

Answers

The last one……!.!.!.!!.

Can someone please help me I will mark u brilliant

Answers

Answer:

d

Step-by-step explanation:

Ssomeone help me in this one now please ​

Answers

Answer:

700 runners

Step-by-step explanation:

1. What angles are
congruent to angle 5?

Answers

Answer:

All angles that are either exterior angles, interior angles, alternate angles or corresponding angles are all congruent. The picture above shows two parallel lines with a transversal. The angle 6 is 65°. Is there any other angle that also measures 65° hope this helps you

Step-by-step explanation:

Plz help me well mark brainliest if correct!

Answers

Answer:

Two weeks later

Step-by-step explanation:

There are 14 days in two weeks, and there are 14-day intervals between dates.

Answer:

2 weeks later

Step-by-step explanation:

Two weeks is equivalent to 14 days

2. Ask. Which of the following statements should occur?
A. x = 6:
B. x <3:
C. x> 0:
D. x ^ 2 x:
F. Leave the question unanswered

Answers

F is the answer
Step by step exploration

A bag contains 9 red, 7 blue, and 4 yellow marbles. If a marble is chosen at random from the bag, what is the probability that it is NOT yellow? (in fraction form) A) 1 5 B) 1 3 C) 3 5 Eliminate D) 4 5

Answers

Answer:

D

Step-by-step explanation:

if you add all the numbers together you get a total of 20. if you add the non yellow marbles together you get 16. so the fraction is 16/20. then you shorten the fractions by dividing the numbers. both are divisible by 4, so the final answer is 4/5.

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