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, which is exactly half the total amount, meaning that the fraction corresponding to his earnings is 1/2.

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

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

Both fractions are equal, so:

[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

evaluate the expression when b= 2 and c = 12



Answers

9 is your answer.

6+3 is 9. You added these two because a=3.

Solve x² + 5x + 6 = 0​

Answers

Answer:

x=-2,-3

Step-by-step explanation:

x^2+5x+6=0

(x+2)(x+3)=0

x+2=0

x=-2

x+3=0

x=-3

CE and FH are parallel lines.

Which angles are supplementary angles?

Answers

Answer:

<CDG and <CDB are supplementary angles.

Answer:

hff

Step-by-step explanation:

< CDG and <CDB are supplementary angles.

msm555 is correct

hope it is helpful to you ☺️☺️☺️

What is the average rate of change for f(x) = 2x - 4 over the interval 2 Sxs 6?
A)
8
B)
10
C)
15
D)
18

Answers

Answer:

8 i think i hope it helps

good night

If you spin this spinner 30 times, how many times would you expect to get not get yellow?

Answers

It would be a 1/5 chance so maybe 10

A rectangle is 32 meters long and 4 meters wide. Which equation represents the area (A) of the rectangle?

A= 32 x 4
32= A x 4
32= (4x A) x 4
A=( 2x4) + (2x32)

Answers

I think the answer is A. Because, 32 * 4, you would have to find the answer (A) so 32 * 4 = A.

The bar graph shows the number of check-ins at a motel each day for one week. What percent of the check-ins occurred on Friday or Saturday? Round your answer to the nearest hundredth of a percent.

Answers

26/64 is correct

have a great day

The diameter of a semicircle is 4 kilometers what is the semicircle's radius

Answers

Answer:

To find the radius, just take half of the diameter. The answer is 2.

Step-by-step explanation:

Semicircle Area and Perimeter

Area (A)

6.2832in²

A = πr²/2 = 2 * π [in²] ≈ 6.2832 [in²]

Perimeter (L)

10.2832 in

L = πr + d = 2 * π + 4 [inch] ≈ 10.2832 [inch]

Hope this helped!!!

The radius of the semicircle is 2 kilometers.

What is a diameter?

A straight line that runs through the sideways of a body or figure, particularly a circle or sphere, is called as a diameter of a circle or sphere.

Given:

The diameter of a semicircle is 4 kilometers.

Then the radius of the semicircle,

= diameter / 2

= 4/2

= 2 kilometers.

Therefore, the radius is 2 kilometers.

To learn more about the diameter;

https://brainly.com/question/5501950

#SPJ2

You were born, your mother deposited 2000 in an account that pays 5% simple interest. How much would the balance be in your account when you enter college 18 years after?

A. 18000
B. 1800
C. 3800
D. 20000

Answers

Answer:

C

Step-by-step explanation:

the formula for simple interest is given as A=P(1+rt), where A is the final balance, P is the initial principal balance (the amount of money that you start out with), r is the annual interest rate, and t is the time

we know that the mom deposited 2000 into an account when the person was born. This is our initial principal balance (the amount of money started out with)

substitute that value into the formula to get:

A=2000(1+rt)

we also know the rate, which is 5% and the time, which is 18

5%=0.05 (we need it as a decimal)

so substituting the values into the equation:

A=2000(1+0.05*18)

A=2000(1+0.9)

A=2000(1.9)

A=3,800

therefore the answer is C

Hope this helps!

6^2x+2.6^3x=1 solve x=

Answers

Answer:

Step-by-step explanation:

if it is  [tex]6^{2}x+ 2.6^{3}[/tex]x = 1  

36x+17.576x = 1

53.576x = 1

x = 1 / 53.576

x = 1 /  [tex]\frac{6697}{125}[/tex]

x = [tex]\frac{125}{6697}[/tex]

or is it

6[tex]x^{2}[/tex] + 2.6[tex]x^{3}[/tex]=1      ?

Answer:

This is what I got.

Step-by-step explanation:

Which is the graph of f(x) = 100(0.7)?

Answers

Answer:

f(x) = y = 70

Step-by-step explanationsince

since 100 · 0.7 = 70

      f(x) = y = 70

Answer:

Graph A. On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).

Step-by-step explanation:

Edge

Indicate the effect each separate transaction has on investing cash flows. (Amounts to be deducted should be indicated with a minus sign.) Sold a truck costing $45,500, with $24,200 of accumulated depreciation, for $10,200 cash. The sale results in a $11,100 loss. Sold a machine costing $12,800, with $9,100 of accumulated depreciation, for $7,200 cash. The sale results in a $3,500 gain. Purchased stock investments for $17,100 cash. The purchaser believes the stock is worth at least $32,200.

Answers

$4,000 just because

Answer:

the answer is 4000$ i hope that helps

Padma's three fastest times in the 50-meter backstroke event were 49.06 seconds, 49.55 seconds, and 48.97 seconds. What is the difference, in seconds, between her two fastest times?​

Answers

Answer:

0.51 seconds

Step-by-step explanation:

49.55 - 49.06 = 0.51 seconds

Jackson's puppy gains 104 pounds in 52 weeks. At that rate, how many pounds would his puppy gain in 40 weeks?

Answers

Answer:

80

Step-by-step explanation:

104:52 = 2:1 = 2 pounds per (1) week

40 × 2 = 80

What is the average rate of change for the function f(x) = 3x2 – 5 on the interval –3 < x < -1​

Answers

Answer:

Algebra Examples

Popular Problems Algebra Graph f(x)=3x^2-5

f

(

x

)

=

3

x

2

5

Find the properties of the given parabola.

Tap for more steps...

Direction: Opens Up

Vertex:  

(

0

,

5

)

Focus:  

(

0

,

59

12

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

61

12

Select a few  

x

values, and plug them into the equation to find the corresponding  

y

values. The  

x

values should be selected around the vertex.

Tap for more steps...

x

y

2

7

1

2

0

5

1

2

2

7

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex:  

(

0

,

5

)

Focus:  

(

0

,

59

12

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

61

12

x

y

2

7

1

2

0

5

1

2

2

7

image of graph

Step-by-step explanation:

Eric is a car salesman. He earns a weekly salary of $175 plus 4% commission on sales. This week he sold a car for $35,450.

A) How much commission did he earn this week?

B) What did he earn in TOTAL this week?

Answers

Answer:

Be quiet you nerd

Step-by-step explanation:

Help please.................

Answers

Answer:

X > 2

Step-by-step explanation:

Help
This is trigonometry

take it seriously, karma exists
I can help you too
I just wanna know if the result is 10.0 rounded to the nearest tenth
I used Sin
Please correct me

Answers

Answer:

Yes, your solution is correct

Step-by-step explanation:

sine = opposite leg / hypotenusesin 51° = √61 / WYWY = √61 / sin 51°WY = 10.0499134825 ≈ 10.0

A Solve each problem.
1. Henry flies his plane at 240 mph for 3 hours. How far does he travel?​

Answers

Distance = speed x time

Distance = 240 x 3 = 720 miles

Answer:

henry doesn't travel but plane travel

Step-by-step explanation:

240m×3hour240m×60×60sec2592000m/s

If m\angle A=(6x+10)^{\circ}∠A=(6x+10) ∘ and m\angle B=(4x+30)^{\circ}∠B=(4x+30) ∘ , then find the measure of \angle B∠B.​

Answers

A=6 × + 10=88555%__/455

what do entertainment, utilities, and reserves have in common?

Answers

Answer:

these are some factors need to have a business

hope this helps

have a good day :)

Step-by-step explanation:

Hey yall!! How do I do this ???

Answers

put the y= equation into a calculator and then click graph and then after you see the graph , click 2nd and then graph to get the coordinates

Answer:

Step-by-step explanation:

just pick three values (numbers)  into the function and calculate the other unknown

You can pick an X or you can pick a Y, then solve for Y or X respectively.

Record these x,y pairs in the table

once you have at least two points you can graph the function

           y = mx + b     y-intercept form of the line function

                                  m = slope    b is the value of y when x = 0

   y = -5x/2 -5      let x = 0      solve for y

   y = -5(0)/2 -5

   y =    0 - 5

   y = -5

  y = -5x/2 -5                          solve for x            

  y + 5 = -5x/2 - 5 + 5             add 5 to both sides

  y + 5 = - 5x/2

 (y +5 )(-2/5)  = (-5x/2) (-2/5)

 (y +5 )(-2/5)  = x       let y = 0    

(0) +5)(-2/5)  = x

      5(-2/5)  = x

           -2   =  x

I'll let you have the third variable to pick  and solve for the dependent variable.  The dependent variable is just wha it sounds like, it is dependent on which ever independent (the value you randomly pick) variable.

Pick either x or y then solve for y or x

  y = -5x/2 -5              solve for y

  x = (-2/5) (y +5)        solve for x

21. Find the value of x.

22. Find the value of x.

Answers

Answer:

62° & 54°

Step-by-step explanation:

Answer 21 :-

We know that the measure of a straight line is 180° .

x + 118° = 180° x = 180° - 118° x = 62°

Answer 22:-

2x + 1 + 71 = 180 2x = 180 - 72 2x = 108 x = 54°

Answer:

62° & 54°

Step-by-step explanation:

Answer 21 :-

We know that the measure of a straight line is 180° .

x + 118° = 180°

=> x = 180° - 118°

=> x = 62°

Answer 22:-

2x + 1 + 71 = 180

=> 2x = 180 - 72  

=> 2x = 108

=> x = 54°

190% of what number is 76
Plz hurry I really want to get this done

Answers

Answer:

190 is 76% of 250

Step-by-step explanation:

We have, 76% × x = 190

Multiplying both sides by 100 and dividing both sides by 76,

we have x = 190 × 100/76

x = 250

If you are using a calculator, simply enter 190×100÷76, which will give you the answer.

can u solve it please.​

Answers

Answer:

No I'm doing this for a quest

Step-by-step explanation:

Hope you find the answer though

find the next number 2,5,12,25,54 ​

Answers

Answer:

Step-by-step explanation:

The next number is 110

2. One pound of pineapples costs $4.80. Jessica bought
3/4 pounds. How much did Jessica spend on pineapples?

Answers

Answer:

$3.60

Step-by-step explanation:

Jessica spent $3.60 on 3/4 pounds of pineapple.

Help me with questions 14 and 15! I will give brainliest!!

Answers

Answer:

14=9-11

15= 82.2%

Step-by-step explanation:

23/28=0.8214

Which of the following rational functions is graphed below?

Answers

Answer:

[tex]A = \frac{1}{(x-1)(x+1)}[/tex]

Step-by-step explanation:

Looking at the dashed lines in the graphic, these functions have two discontinuities, at x = -1 and at x = 1.

A discontinuity in a rational function is a point in which the denominator of the function is 0.

For these options, the denomiator is 0 at both x = -1 and x = 1 for only option A, so the answer is:

[tex]A = \frac{1}{(x-1)(x+1)}[/tex]

7 and - 1 1/2 on the number line?

Answers

Your answer would be B
You can ignore the fraction and do
7-1
Which gives you 6.

Then add the fraction, and your final answer is

6 1/2
Other Questions
Use the information and table to answer the following questions.A sociologist was interested in determining if there was a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred. A random sample of 93 adults revealed the following data. Use a Chi-Square independence test to determine if age and type of movie preferred are independent at the 5% level of significance. 18-23 years old 24-29 years old 30-35 years old TotalsDrama 8 15 11 34Science Fiction 12 10 8 30Comedy 9 8 12 29Totals 29 33 31 931. State the Null HypothesisA) Age and type of movie preferred are not independent.B) Age and type of movie preferred are independentC) Age and type of movie preferred are not the sameD) Age and type of movie preferred are related.E) Cannot be determined.2. State the alternative hypothesis.A). Age and type of movie preferred are dependent.B) Age and type of movie preferred are independent.C) Age and type of movie preferred are not relatedD) Age and type of movie preferred are superior.E) Cannot be determined. Mary made 12 bracelets. 9 of those bracelets are the color blue.What percent of bracelets are blue? Why does a lot of rain form over West Ferris? WSecond wave environmentalism was primarily characterized byits commitment to the Paris Climate Agreementthe "ecology monks" who organized grassroots effortsits singular focus on the importance of hydropowerwidespread grassroots involvement and activism If a fair die is rolled 6 times, what is the probability, to the nearest thousandth, ofgetting exactly 2 threes? I know this is in german but i really really need help... Please help!Try to show your work. How many significant figures are in 609.80 The volume of a cylinder is 325 pi cubic centimeters and its radius is 5 centimeters.What is the height of the cylinder?__cm We have a population of 200 people with a growth rate of 2%. Which equation do we use to calculate how long it will take for the population to double to 400 people? 70/.2 200/,2 200x2 400/2 70/2 70/.02 200/.02 200x.02 200/2 ___ who abuse drugs have suffered neglect or traumatic experiences during childgoodA. FewB. ManyC. All 1: Scriei i egalai ecuaiile reaciilor chimice de schimb prezentate mai jos: a) carbonat de sodiu + clorur de calciu = b) carbonat de potasiu + azotat de calciu = c) sulfat de sodiu + clorur de bariu = d) clorur de aluminiu + hidroxid de sodiu = e) sulfat de magneziu + clorur de bariu = 2: Determinai compoziia procentual a substanei sulfat de aluminiu; calculai numrul de ioni Al 3+ existeni n 3,5 Kmoli sulfat de aluminiu. 3: Acidul fluorhidric nu se poate pstra n vase de sticl (SiO 2 ),deoarece reacioneaz cu acesta: 2 SiO 2 + 4HF = SiF 4 + 2H 2 O tiind c sticla are un coninut de 75,3% SiO 2, calculai numrul de moli, respectiv numrul de molecule de HF ce reacioneaz cu 500 g sticl. 4: Determinai masa de Al, respectiv de K din 500g alaun KAl(SO 4 ) 2 x 12H 2 O 5: Calculai cantitatea de azotat de calciu care reacioneaz cu 500g soluie carbonat de potasiu de puritate 80%. 6: Calculai masa de H 3 PO 4 care conine 1,05 x 10 20 atomi oxigen. x2 + 4Select all that apply Someone please help me Ill give out brainliest please dont answer if you dont know Which cell structure are needed to make proteins CAN ANYONE HELP FIGURE OUT THESE QUESTIONS FOR ME PLEASE Summarize the different concepts of a species HI I NEED HELP THANK YOU - NOT BITLY PLS Name two three-dimensional figures that produce a square when sliced horizontally by a plane. Which structure contains cells that attach to the molecules we breathe in?noseretinaolfactory bulbsinus cavityExplain