One-sixth of a certain number is four more
than one-twelfth the number. Find the number. a. 6 b. 18 C. 36 d. 48

Answers

Answer 1

let number be x

1/6x - 1/12x= 4

1/12x=4

cross multiply

x= 12 x 4

x= 48

Answer 2

If one-sixth of a certain number is four more than one-twelfth the number, the required number will be 48.

Let the unknown number be 'a'

One-sixth of the number is expressed as 1/6 a ..... 1

One-twelfth the number is also expressed as 1/12 a

Four more than one-twelfth the number will be written as:

1/12 a + 4 .... 2

Equating 1 and 2 will give:

1/6 a = 1/12 a + 4

a/6 = a/12 + 4

Collect the like terms

[tex]\frac{a}{6} - \frac{a}{12} = 4[/tex]

Find the LCM

[tex]\frac{2a-a}{12} = 4\\\frac{a}{12} = 4[/tex]

Cross multiply

a = 12×4

a = 48

This shows that the required number is 48

Learn more on equations here: https://brainly.com/question/14034270


Related Questions

Given: x + 3.8 > -10.02.



Choose the solution set.

Answers

Answer:

x > -13.82

Step-by-step explanation:

The first step in finding the solution set is to subtract 3.8 from both sides of the given inequality:

x > -10.02 - 3.8. or

x > -13.82

You and your friends go to the state fair. It costs $6 to get into the fair
and $2 each time you go on a ride. Consider the relationship between
number of rides and total cost.

Model the equation to show the linear relationship.

Answers

Answer:

[tex]let \: number \: of \: rides \: be \: \: n \\ let \: cost \: be \: \: c \\ n \: \alpha \: c \\ n = kc \\ k \: is \: a \: costant \: of \: proportionality \\ when \: n = 1. \: \: c = 2 \\ 1 = (k \times 2) \\ k = \frac{1}{2} \\ therefore : \\ n = 0.5c[/tex]

Answer:

[tex]\huge\boxed{\sf x = 6 + 2y}[/tex]

Step-by-step explanation:

Let the total cost be x and number of rides be y

It costs $2 on each ride. So, the rides' cost will be:

=> Number of rides * One rides' cost

=> y * 2

=> 2 y

So, The total cost will be:

Total cost = Entrance cost + Rides' cost

Total cost = $6 + $2(Number of rides)

x = 6 + 2y

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

5x=0

X=0 only one solution

Answer:

5x=0

x= 0 anly solution. helpful answer

can some one explain please​

Answers

what kind of question is this lol ? i don’t even understand it

Pls solve this ill give you brainiest

Answers

Answer:

-2

Step-by-step explanation:

by testing

I need help for this question

Answers

9514 1404 393

Answer:

  a) Cat

  b) 8

  c) 6

Step-by-step explanation:

a) Each line contains one large square, at least. The smallest additional area is on the Cat line. Apparently, the fewest people preferred cats.

__

b) The smaller symbols appear to represent 1/4, 1/2, and 3/4 of the larger square. On that basis, we can add all of the symbols to discover there are a total of 10 of them:

  1 1/4 +1 3/4 +2 1/2 +1 1/2 + 3 = 8 + (1/4 +3/4) +(1/2 +1/2) = 8 +1 +1 = 10

Since 10 symbols represent 80 people, each large square symbol must represent 8 people.

__

c) The number preferring dogs is (1 3/4)(8) = 14. The number preferring giraffes is (2 1/2)(8) = 20. Then 20 -14 = 6 more people preferred giraffes.

Answer:

cat,8,6

Step-by-step explanation:

i think im not sure

please help me answer this

Answers

Answer:

24,000 milliliters

Step-by-step explanation:

Because

1 liter = 1000 milliliters

so 24 liters would be 24,000 Milliliters

What is the approximate area of a circle with a radius of 15 ft? Use your calculator button for it Enter your answer in the box. Round to four decimal places ft2​

Answers

Answer:

706.8583

Step-by-step explanation:

[tex]Area = \pi r^2[/tex]

[tex]Area = \pi 15^2[/tex]

[tex]Area = \pi 225[/tex]

[tex]Area = 3.14159265*225[/tex]

[tex]Area = 706.85834625[/tex]

Round it and you get 706.8583

I need help plzzzzzzzzzzz

Answers

Answer:

D. infinite

Step-by-step explanation:

The answer is infinite

Please help!!! How do I do this? What is X and how do I find it?

Answers

Answer:

[tex]x = 6 \sqrt{3} [/tex]

Step-by-step explanation:

[tex]x = \sqrt{ {12 }^{2} - {6}^{2} } = 6 \sqrt{3} [/tex]

Bob has a coin cup with four $1 tokens and two $5 tokens in it. He also has two $10 tokens and one $25 token in his pocket.
He randomly draws a token froin the cup, and then randomly draws a token from his pocket. What is the probability that he
will draw $30 in tokens?
OB.
. В

Answers

We want to find the probability that Bob will randomly draw $30 in tokens. We will find that the probability is P = 1/6 = 0.167

Finding the probability.

The only case where he draws $30 randomly is when:

He takes one $5 token from the coin cupHe takes the $25 token from his pocket.

Then we need to find the probabilities for these two events.

For the first one, the probability will be equal to the quotient between the number of $5 tokens and the total number of tokens in the cup. There are 6 tokens in the cup and 2 of these are $5 tokens, then the probability is:

p = 2/6 = 1/3

For the second event the probability is computed in the same way, he has two tokens in his pocket and one of them is a $25 token, then the probability is:

q = 1/2

The joint probability, the probability that both of these events happen at the same time, is given by the product of the individual probabilities, so we get:

P = p*q = (1/3)*(1/2) = 1/6 = 0.167

So the probability that he draws $30 in tokens is P = 1/6 = 0.167.

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

Answer:

4/9

Step-by-step explanation:

HELP ILL GIVE BRAINLIEST

Answers

Answer:

Option 'a' is the correct answer.

what is 17^2-4(-3)(20) in quadratic formula ​

Answers

Answer: No solution

Step-by-step explanation: by solving the rational equation by combining expressions and isolating the variable = no solution

Help meee please I need help

Answers

Answer:

A

Step-by-step explanation:

[tex]d^2+16^2=25^2\\d^2+256=625\\d^2=368\\d=19.2[/tex]

Answer:

The answer is D. 47 meters.

Evaluate plzzz help am giving brainliest

Answers

Answer:

-4a/-8 +-12a

Step-by-step explanation:

I'm assuming its just asking you to put it down and now solve it so, I plugged in the top to the bottom, and multiplied it all; getting ^, if its asking for a more simplified answer it would be a/2 + 12a ... I think


please help me guysss


Answers

u could ask your teacher for help but i really dk

Can someone please explain this question to me?
The image is attached.

Answers

Answer:

13

Step-by-step explanation:

Given the expression;

2 1/3 : 4 1/3 = 7 : x

Wea re to look for x;

Convert to improper fractions;

7/3 : 13/3 = 7:x

7/3 * 3/13 = 7/x

7/13 = 7/x

Cross multiply

7x = 13 * 7

7x = 91

x = 91/7

x = 13

Hence the unknown value is 13

what is the missing exponent?

17 / 17^4 = 17^8​

Answers

Answer:

The missing exponent is 12.

Step-by-step explanation:

Whenever you divide same-base exponents, you keep the base numbers the same and subtract the exponents.

The only number subtracted by 4 that would give you 8 is 12.

Or, if the numbers are larger, it is must easier to add the exponent in the answer to the number in the equation.

For example,

[tex]17^4+17^8=17^1^2[/tex]

Therefore, the missing exponent is 12.

Because:  [tex]17^1^2/17^4=17^8[/tex]

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

angle measures to the.

Step-by-step explanation:

I don't know if it is a choice but if you not do measure and multiply If my answer is wrong. Hope not.

Emma has a gift box in the shape of a cube. Each side of the box measures 9 centimeters. What is the volume of the gift box?

Answers

Answer:

729

Step-by-step explanation:

Each side of the cube measures 9cm

The volume of a cube is V^3

Therefore the volume can be calculated as follows

= 9^3

= 729

Hence the volume is 729

can anyone do all my work for me before Wednesday i​

Answers

Answer:

sure I can help with that.....

Wheres your work then?

The side lengths of a triangle are 5, 12, and 13, is this a right triangle?

Answers

Answer:

D.

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Choose D.......

Completing the
Rewrite the equation by completing the square.
x^2-14x+33=0

Answers

Answer:

11,3

Step-by-step explanation:

Answer:

It is -7 and 16

Step-by-step explanation:

Khan

A fruit salad recipe calls for 3/4 pound of apples and 2/5 pound of dates. What is the least common denominator of the fractions?

Answers

Given:

A fruit salad recipe calls for [tex]\dfrac{3}{4}[/tex] pound of apples and [tex]\dfrac{2}{5}[/tex] pound of dates.

To find:

The least common denominator of the fractions.

Solution:

The given fractions are:

[tex]\dfrac{3}{4}[/tex] and [tex]\dfrac{2}{5}[/tex]

The denominators of these fractions are 4 and 5 respectively.

Factor form of 4 is 2×2.

5 is a prime number, so factor form of 5 is 5×1.

Now, the least common denominator of the fractions is:

[tex]LCD=2\times 2\times 5[/tex]

[tex]LCD=20[/tex]

Therefore, the least common denominator of the fractions is 20.

Tell me if its a function or not plz help its due today am giving brainliest ppppppppppllllllzzzzzz

Answers

Answer:

#5 is a function, #6 is not a function

Step-by-step explanation:

PLEASE HELP!!
please show how you know!

Answers

Answer:

Second and last options are correct answers.

Step-by-step explanation:

Correct options are:

[tex] \huge \frac{(8^3)^2}{8^{-5}}= \purple {\bold {\frac{8^6}{8^{-5}}}} [/tex]

[tex]\huge \frac{(8^3)^2}{8^{-5}}= \frac{8^6}{8^{-5}}=\red{\bold {8^{11}}} [/tex]

A business owner wants to have the front window of her store painted and is considering two
artists for the job. Tiana has quoted a flat rate of $292 for the job. Denise's quote is $39 per
hour, plus $19 to cover the cost of materials. Depending on how long it takes Denise to paint
the window, these two could end up charging the same amount. How long would Denise have
to take? How much would it cost?

Answers

denise would have to take seven hours to charge the same amount of money as tiana. furthermore, it would cost the same amount as that is what the prompt is asking for.

to get the answer:
i subtracted $19 from $292 to eliminate the
fee element because if you were to divide
$292 by $39 without the step, the hours would be incorrect and the price would be greater.

after subtracting i got $273

from there i divided $273 by $39 and got 7 (the amount of hours it would take)

Ashley and her 2 sisters are planning to buy a treadmill online. The total cost of the treadmill is $400. In addition, there is a shipping and handling fee that is 5% of the cost of the treadmill. Finally, there is a 7% sales tax added to the cost of the purchase (treadmill cost + shipping and handling).

If they decide to split the bill evenly, then how much will each sister have to pay?

Answers

Answer:

Step-by-step explanation:

200 because 4 dived by 2=2. kay?

Marge purchased x bicycle helmets and y tire pumps. Each helmet cost $12.00 and each pump cost $8.00. She purchased a total of 18 items and spent $176.00. How many helmets did Marge buy?

Answers

X=8 helmets
Y=10 pumps

Answer:

8 x 12 = 96    10 x 8 = 80   96 + 80 = 176 so the answer is 8 helmets and 10 pumps

Step-by-step explanation:

PLEASE QUICK I ONLY HAVE 11 MINS I NEED THIS ONE QUICK!

WILL GIVE BRAINLY

Answers

Answer:

the answer is 7 feet

2πr/2π=14π/2π

r=7 feet

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