Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.

Answers

Answer 1

Answer:

a : b = 4 : 3

Step-by-step explanation:

(mark as brainlist answer)

According to the given condition is the question :

Two numbers a and b are such that the sum of 5% of a and 4% of b is two-third of the sum of 6% of a and 8% of b

⇒ (5% of a) + (4% of b) = (2/3) × [(6% of a) + (8% of b)

⇒ 0.05a + 0.04b = 2/3 × (0.06a + 0.08b)

⇒ 0.15a + 0.12b = 0.12a + 0.16b

⇒ 0.03a = 0.04b

⇒ a/b = 4/3

⇒ a : b = 4 : 3


Related Questions

Do you guys know this?

Answers

Answer:

3

Step-by-step explanation:

You solve the inner first, then move to the outer.

Let's look at g(3) first. It is stated in the problem that g(3) = 2.

We then use this value for f(x). It is stated in the problem that f(2) = 3.

The answer is 3.

which expression is equivalent to (-60) divided by 5?

Answers

Answer:

Step-by-step explanation:

No choices are listed.

But -60 divided by 5 is -12

What is the slope between the points (5,-4) and (-3,4)
-1
4
0
1

Answers

Answer:

The answer is -1.

Step-by-step explanation:

You have to apply gradient formula :

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

So you will have to substitute the coordinates into the equation. Let (x1,y1) be (-3,4) and (x2,y2) be (5,-4) :

[tex] m = \frac{ - 4 - 4}{5 - ( - 3)} [/tex]

[tex]m = \frac{ - 8}{8} [/tex]

[tex]m = - 1[/tex]

Bill earned $10.00 per hour he worked 40 hours at regular rate , 8hours at a time and a half and 8hours double time compute the total wage

Answers

Answer:

Total wage= $680

Step-by-step explanation:

Giving the following information:

Regular wage= $10

One and a half= $15

Double= $20

To calculate the total wage, we need to use the following formula:

Total wage= x*10 + y*15 + z*20

x= normal hours

y=one and a half hours

z= double hours

Total wage= 40*10 + 8*15 + 8*20

Total wage= $680

Answer:680

Step-by-step explanation:

Find the lcm of 300,400 and 500

Answers

1. Decompose all numbers into prime factors
300 2 150 2 75 3 25 5 5 5 1 400 2 200 2 100 2 50 2 25 5 5 5 1 500 2 250 2 125 5 25 5 5 5 1
2. Write all numbers as the product of its prime factors
Prime factors of 300 = 22 . 3 . 52
Prime factors of 400 = 24 . 52
Prime factors of 500 = 22 . 53
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2 , 5
Common prime factors with the greatest exponent: 24, 53
Uncommon prime factors: 3
Uncommon prime factors with the greatest exponent: 31
4. Calculate the Least Common Multiple or LCM
Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.
LCM = 24. 53. 31 = 6000

y+x2÷2 when x=4 and y=−3.

Answers

Answer:

The answer is 1.

Step-by-step explanation:

Plug in the values to make the equation -3+4*2/2

According to the order of operations, you should multiply what you can first.

so 4*2 = 8

Then 8 divided by 2 = 8/2=4

Then -3+4=1

Answer:

5

Step-by-step explanation:

y + x²÷2 when x=4 and y=-3

-3 + 4² ÷ 2

-3 + 16 ÷ 2

-3 + 8

5

I hoped this helped :)

you purcharse 3 items for 4.23 about how much did you spend ?

Answers

Answer:

$12.69

Step-by-step explanation:

3 times 4.23=12.96

Answer:

$12.69

Step-by-step explanation:

you would multiply 4.23 by 3

hope this helps

Calculating income with Commission

A salesperson earns $600 per month plus a commission of 20% of sales. Find the minimum amount of sales need to receive a total income of at least $1500 per month.

Answers

Answer:

$4500

Step-by-step explanation:

Step one:

given data

monthly earning= $600

commission =20%= 0.2

let the number of sales be x

and the total earnings be y

Hence the expression for the earnings is given as

y=0.2x+600

Step two:

Required:

the value of x. when y=$1500

1500=0.2x+600

1500-600=0.2x

900=0.2x

divide both sides by 0.2

x=900/0.2

x=4500

The minimum amount of sales need is $4500

Before the election, you want to determine the number of possible president/vice-president combinations for the honor society you belong to. If both positions are chosen from ten people, how many combinations are possible?

Answers

90. For the first position,you can have one of 10 ppl in president/vice president. Then the remaining 9 ppl can be put in the remaining position. 10 * 9 = 90. If you need more explantion check these keywords. Factorial, permutations, combinations.

Thanks for the help ;)

Answers

Answer:

A.

Step-by-step explanation:

Answer: 75 per month

Step-by-step explanation:

In 2008, the price of gasoline was $2.79 per gallon. In 2009, the price of gasoline was
$3.79 per gallon. What is the percent of increased in the price of gasoline, rounded to
the nearest whole percent? Type in your number with NO decimals and a % after the number.

Answers

Answer:

36%

Step-by-step explanation:

line up $ and % data like this:

$2.79 represents 100%

$3.79 represents  X%

cross multiply

X*2.79 = 3.79*100

divide both sides by 2.79

X= 3.79*100 / 2.79 ≈ 136%

so it increased 36%

The sum of two positive numbers is 37, and their difference is 7. If x and y represent the unknown numbers, which two
equations belong to the system of equations that represents this situation?

Answers

Answer:

C & D. check the image just in case the order changes

Step-by-step explanation:

A system of equations is x + y =37 and x - y = 7 the positive numbers are 22 and 15.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The sum of the two positive numbers is 37, and their difference is 7.

Let x and y be the numbers:

x > 0 and y > 0

x + y =37

x - y = 7

The above two equations represent the situation where the sum of two positive numbers is 37, and their difference is 7.

After solving the above equation by elimination method:

2x = 44

x = 22

22 - y = 7

y = 22 - 7

y = 15

Thus, a system of equations is x + y =37 and x - y = 7 the positive numbers are 22 and 15.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ5

What is the value of x 3x 2x 55

Answers

Answer:

25

Step-by-step explanation:

3x+2x+55=180

5x+55=180

5x=180-55

5x=125

X=125/5

X=25

So the value of X is 25

Carlos found 6 pounds of gold coins! He divided the coins into pound bags. How many bags of coins does he have?​

Answers

Answer:

6

Step-by-step explanation:

6/1=6

A country clerk has given amount of money to budget for cultural events
Based on the scattplot , what does the point (0.18) represent
A.the total amount of the budget given to the country
B.the total amount of the budget spent after 18 months
C.the average amount spent out of the udget each month
D.the predicted amount of time after which the entire budget will. e spent​

Answers

Answer:

A. the total amount of the budget given to the country

Step-by-step explanation:

In order to know the answer, you have to check what the y-axis represents. In the graph above, it represents the "Budget Remaining," which is expressed in thousands of dollars. On the other hand, the x-axis represents the "Time," which is expressed in months.

Point (0,18) shows the total amount of the budget for the Cultural Events in the country. It starts at 18,000 dollars and decreases as months pass by. This is shown by the graph's "negative slope." This means that as the number of months increases, the amount of money decreases.

a = 1/3, b = 9, c = 5, and d = 10.

12a + c - b

Answers

Answer:

The equation equals 0

Step-by-step explanation:

12 ( 1/3 ) + 5 - 9

4 + 5 - 9

9 - 9

= 0

what is the sum of 1 and another 1

Answers

Answer:

1+1=2

Step-by-step explanation:

Answer:2jk

itts3

Step-by-step explanation:

1+1=3

Can someone help me with these three math problems pleaseeeeeeeeeee

Answers

1. 75
2. 63
3. i have no clue

all triangles should add up to 180, so if you add the numbers up that you have you take ur answer and subtract 180 to get what the missing angle equals! sorry hope that helps a little lol

Answer:

75 should be the answer

Suppose your normal body temperature is 98 3/5 degrees Fahrenheit. If your body temperature goes up 3 1/5 degrees on Monday and then down 2 1/5 degrees on Tuesday, what is your temperature on Tuesday?

Answers

Answer:

can you help me if I help you plz

Use the distributive property to identify the equivalent expression.

8x + 10

Answers

Answer:

36

Step-by-step explanation:

8squared+10=18

18x2=36

Answer:

ummmmmmmmmmmmmmmmmmmmmmmm

Just the image below.

Answers

Answer:

1) 2x^3-2x^2+4x+20

Step-by-step explanation:

line up the equations, having each variable aligned with the similar variable, and distribute the minus sign across the parenthesis

7x^3              + 4x + 13

-(5x^3 + 2x^2          - 7)

---------------------------------

2x^3 - 2x^2 +4x +20

What is the value of x ?

Answers

Answer:

5 units

Step-by-step explanation:

BD is geometric mean ⇒ BD² = AD × DC

4x² = 10²  and x > 0

x² = 25  

x = 5 units

William has 90 to spend on juice boxes for a preschool picnic. Each juice box cost 2.51 what is the maximum number her can buy

Answers

Answer:

35 x 2.51 = 87.85

36 x 2.51 = 90.36

If he cannot spend more than 90 than the maximum amount he can afford is 35.

Step-by-step explanation:

Answer: 35.8565737052

help brainliest will be given 8 only

Answers

a. 37 vehicles

b. 26 vehicles

c. 10 vehicles

d. About 27%

Answer:

a)37

b)10

c)0 beacuse if there 11 then they would be speeding and also if it wrond try 10

d)28.571428571429%Step-by-step explanation:

Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution. What is the probability that a randomly selected book has less than 168 pages if the mean is 192 pages and the standard deviation is 24 pages? Use the empirical rule. Enter your answer as a percent rounded to two decimal places if necessary.

Answers

Answer:

The answer is "Thus a chosen random book has a 15.87% chance of fewer than 170 pages".

Step-by-step explanation:

[tex]Mean = 190\\\\\text{Standard devaition} \ \sigma= 20\\\\\to P(\bar{x}<70)\\\\Z = \frac{(170-190)}{20}[/tex]

   [tex]= \frac{-20}{20} \\\\=-1[/tex]

It found a p-value from its empirical rule:

[tex]\to P(\bar{x}<170) = 0.1587[/tex]

Help! pictures are attached

Answers

15,89,30,28,27,10,19,18,19

(Car repair) The bill including parts and labor for the repair of your car is shown. From what is given, can you determine how many hours were spent on labor ? Explain.

Answers

Answer:

2.25 hours or 2 hours and 15 minutes

Step-by-step explanation:

Using the information from the bill shown in the question we can determine the number of hours spent by first subtracting the amount of money spent on parts from the overall total, which would leave us with the total amount spent on labor. Now we would simply divide this by $44 which is how much each hour of labor costs. Finally, this would leave us with the total number of hours of labor that the mechanic put into the car repair.

$384 - $285 = $99

$99 / 44 = 2.25 hours or 2 hours and 15 minutes  (0.25 * 60 minutes)

Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$60.00
5%
?
The sales tax is $

Answers

the sales tax is $3
divide 5 by 100 = 0.05
multiply 0.05 by 60.00 and you get 3

Answer:

$3

Step-by-step explanation

do 5% of 60 which would equal $3

$9000 was borrowed from two sources, one that charges 20% simple interest and the other that charges 5% simple interest. If the total interest at the end of 1 year was $1500, how much money was borrowed from each source?

Answers

Answer:

The amount borrowed at 20% simple interest was $7,000, while the amount borrowed at 5% simple interest was $2,000.

Step-by-step explanation:

Let x represents the amount borrowed at 20% simple interest.

Let y represents the amount borrowed at 5% simple interest.

Therefore, the amount borrowed at 5% simple interest will be:

y = 9000 - x ........................... (1)

As a result, we will have:

20%x =  interest at the end of 1 year from the amount borrowed at 20% simple interest

5% * (9000 - x) = 450 - 5%x = interest at the end of 1 year from the amount borrowed at 5% simple interest

Since the total interest at the end of 1 year was $1500, we have:

20%x + 450 - 5%x = 1500

We can now solve for x as follows:

20%x - 5%x = 1500 - 450

15%x = 1050

x = 1050 / 15%

x = 7000

Substituting x = 7000 into equation (1), we have:

y = 9000 - 7000

y = 2000

Therefore, the amount borrowed at 20% simple interest was $7,000, while the amount borrowed at 5% simple interest was $2,000.

8. Rectangles AFGE and A B C D are similar; FG = 4 centimeters, EG = 6 centimeters
centimeters.
AC
15 cm
4 cm
G
6 cm
E
D
What is the length of BC in centimeters?

Answers

Answer:

14

Step-by-step explanation:

i got it right and you can tell that they are almost the same size.

Other Questions
expressions equivalent 10(2 + 3)-8.3 hurry extra points! Why did the cotton gin lead to more slavery?O A. The work of picking cotton got harder.O B. Raising cotton became more expensive.O C. Growing cotton became more profitable, and slaves were neededto grow the cotton.O D. Cotton plantations started losing money.HURRY PLEASEEE!!! A rectangle with a length of x+5 has a perimeter of 4x+ 14. What is the width of the rectangle? Help!! I got this wrong last time lol Samson purchased some equipment for $86,749 on March 15, 2017. He decided he did not need the equipment and sold it on March 10, 2018 for $82,000. The equipment was subject to depreciation of $16,851 for 2017 and 2018. What gain or loss will Samson recognize on the sale of the equipment?A. $4,749 ordinary loss.B. $12,102 ordinary gain.C. $12,102 capital gain.D. $4,749 capital loss. Fosse qual fosse o seu formato, em pelo menos um aspecto as revoltas de colonos eram incrivelmente semelhantes: nenhuma delas confrontou a Coroa portuguesa. Ao contrrio, a linguagem dos rebeldes expressa estrita lealdade ao soberano, reafirmava a fora simblica da figura do rei sempre pronto a ouvir as aflies de seus sditos e maldizia a lentido das comunicaes entre metrpole e colnia.a) A quais revoltas o texto se refere?b) Quais so as diferenas entre elas e as Conjuraes Mineira e Baiana? What type of electromagnetic wave spans longer than a mountain range? Pablo owns a record store. His total costs are $1.2 million per year, his variable costs are $750,000, and his fixed costs are $450,000 per year. Last year, Pablo sold 1,200 records. If Pablo sells 1,250 records this year (50 more than last year) and his average total cost increases to $1.28 million, we know that the: ________a. average variable cost of selling records has decreased. b. marginal cost of those 50 records is $80,000. c. average fixed cost of selling records is unchanged. d. marginal cost of those 50 records is $1.28 million. e. average total cost of selling 1.250 records is $1,000. put in all the words that go to the song fishy on me I will give 10 points A household refrigerator consumes electrical energy at the rate of 200 W. lf electricity costs 5 k per kWh, calculate the cost of operating the appliance for 30 days ax + bx = 0Solve equation for x 7. Given f(x) = 3x - 1, find f(2).4215 who was involved in the pueblo revolt? As you read the story summary below, try to identify the authors purpose for writing the story.On an intolerably hot August day, an artist draws a sketch from imagination. The picture shows a criminal who has just been sentenced in court and appears devastated by the verdict. Later, the artist goes for a walk in the unrelenting heat and wanders into the workshop of a stonemason. To his dismay, the stonemason looks exactly like the criminal in his sketch. Even more shocking, the model headstone that the stonemason has been carving bears the name of the artist and the current days date. Shaken by the coincidences, the men agree that the artist should stay put until midnight to avoid any possible accidents outside. The story ends with the two men sitting in silence as the stonemason sharpens his tools in August heat that is enough to send a man mad.Which of the following describes the authors most likely purpose?A. to warn that men should not handle sharp tools in extreme conditionsB. to convince the reader that August heat can drive people insaneC. to explore the concept of fate while creating a mood of horrorD. to explore a situation in which an artist has been driven mad by heat 2. Soive: (14x - 8) - 2(3x - 6)a. 8x + 4b. 20x + 419x + 14d. 8x - 20 12.) At a bowling alley, there is a $5.00 fee for renting shoes. It costs $1.25 for each game bowled. If you have $10 have many games can you bowl? A.7 games B.4 games C.2 games D.5 games Which represents the inverse of the function f(x) = 4x?h(x) = x + 4h(x) = x 4h(x) = three-quartersxh(x) = one-quarterx Assume that the wavelengths of photosynthetically active radiations (PAR) are uniformly distributed at integer nanometers in the red spectrum from 675 to 695 nm. What is the mean, ?, and variance, ?2, of the wavelength distribution for this radiation? Round your answers to one decimal place.mean, ? =variance, ?2 = The store bought a table for $200, and sold it for $350. What percentage was the markup? % Each axis on a graph should be:labeledequalnumberedvertical