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
geniusboy [140]
3 years ago
8

Lily receives more daily allowance than her brother. The difference in their pocket money is $8 and 2/3 of lily's allowance is $

2 more than what her brother gets. Find her brother's daily allowance
Mathematics
1 answer:
tiny-mole [99]3 years ago
6 0

Answer:

Daily allowance of Lily's brother is approximately <u>$10</u>.

Step-by-step explanation:

Let L represents Lily's daily allowance and let B represents her brother's daily allowance, we can therefore obtain the following from the question:

L - B = $8 ........................ (1)  => Indicating the difference in their pocket money

(2/3)L = B + $2 ..................... (2) => Indicating Lily's allowance is $2 more than what her brother gets

From equation (1), we find L as follows:

L = $8 + B ...................................... (3)

Substituting L from equation (3) into equation (2) and solve for B as follows:

(2/3)($8 + B) = B + $2

0.67($8 + B) = B + $2

$5.36 + 0.67B = B + $2

$5.36 - $2 = B - 0.67B

$3.36 = 0.33B

B = $3.36 / 0.33

B = 10.18, or $10 approximately.

Therefore, daily allowance of Lily's brother is approximately <u>$10</u>.

<u>Confirmation Note:</u>

Note that this is not part of the answer to the question. It is just meant to assist you in having a deeper understanding of the question and the answer.

The above answer can be confirmed as follows:

Substituting B = $10 into equation (3), we have:

L = $8 + $10 = $18

This implies that Lily's daily allowance is $18.

Substituting for L = $18 and B = $10 into equation (1), we have:

$18 - $10 = $8 => this confirms that the difference in their pocket money is $8.

Also, substituting for L = $18 and B = $10 into equation (2), we have:

(2/3)18 = 10 + $2 => 12 = 12 => since 12 minus 10 is equal to $2, this confirms that 2/3 of lily's allowance is $2 more than what her brother gets.

You might be interested in
Given the equation 2 square root x-5=2 solve for x and identify if it is an extraneous solution
umka2103 [35]
<span>2√(x-5) = 2
</span><span>√(x-5) = 1
</span>x-5 = 1
x=6(I don't know what extraneous solution means though)
7 0
2 years ago
Read 2 more answers
Rewrite the function by completing the square. h(x)= x^{2} +3 x -18 left parenthesis, x, right parenthesis, equals, x, squared,
ludmilkaskok [199]

Answer:

  h(x) = (x +1.5)^2 -20.25

Step-by-step explanation:

We assume you want to rearrange h(x)= x^2 +3x -18.

Recognize the coefficient of x is 3. Add and subtract the square of half that. (3/2)^2 = 9/4 = 2.25

  h(x) = (x^2 +3x +2.25) -18 -2.25

Now, write the expression in parentheses as a square, simplify the constant.

  h(x) = (x +1.5)^2 -20.25 . . . . . . . . vertex form

4 0
2 years ago
Simplify. <br> PLEASE HELP ITS DUE IN 5 MINUTES <br> (top number is a 6)
kodGreya [7K]

Answer:

\frac{24}{11}+\frac{6\sqrt{5} }{11}

Step-by-step explanation:

Multiply the fraction by the conjugate and solve (would explain more but you're on a time crunch)

5 0
2 years ago
A geodesic dome has a radius of 27 feet. Which value is closest to the volume of the dome? Use 3.14 for π.
pantera1 [17]
We know, Volume of a Sphere = 4/3 πr³
v = 4/3 * 3.14 * 27³
v = 4/3 * 3.14 * 19,683
v = 82406.16 feet³

In short, Your Answer would be Option B

Hope this helps!

7 0
2 years ago
Read 2 more answers
How to write two hundred thirty-eight thousand, five hundred thirty-three using suymbols please help
garri49 [273]
By symbol you mean number form? 238,533.
5 0
3 years ago
Other questions:
  • An apartment rents for $800 a month the monthly rent is expected to increase $15 each year what will the rent at the end of the
    8·1 answer
  • Sum of ten and the quotient of a number x and 6
    10·2 answers
  • What's the answer to 15p+7=q for p
    13·1 answer
  • Five-sixths of b is added to 7
    5·2 answers
  • Find the points which defined the reflection of the figure giving by A(2,2) B (3,7) C (5,5) reflected across the X-axis
    6·1 answer
  • Draw pictures to show a third of a whole and a fourth of a whole
    14·2 answers
  • The area of a polygon is the number of square units contained in its interior true or false
    10·1 answer
  • Select all the expressions that are equivalent to 4x + 2​
    15·1 answer
  • Pls somone help plssssss
    9·2 answers
  • Question 1<br> What is the solution of n² - 49 = 0?<br> 0 +7<br> 07<br> -7<br> O no solution
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!