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
Vlad1618 [11]
3 years ago
15

A father decided to give twenty five percent of his monthly income to his three children as their monthly allowance. The eldest

child got forty five percent of the allowance and the youngest got twenty percent. How much did the youngest child receive if the second child got three thousand five hundred dollars?
Mathematics
1 answer:
Helen [10]3 years ago
3 0

Answer:

The youngest child will receive $2000

Step-by-step explanation:

A father decided to give 25% of his monthly income to his three children as their monthly allowance.

The eldest child got 45% of the allowance and the youngest got 20%. This means that the second child got:

100 - (45 + 20) = 100 - 65 = 35%

The second child received $3500.

Let the 25% of his monthly income be x.

Hence:

35% of x = 3500

=> \frac{35}{100} * x = 3500

x = \frac{3500 * 100}{35}

x = $10000

The amount the man shared among his children is $10000.

Hence, the youngest child (20%) will receive:

20% of $10000

\frac{20}{100} * 10000

= $2000

The youngest child will receive $2000.

You might be interested in
A fishing tackle box is13 inches long, 6 inches wide, and 2.5 inches high. What is the volume of the tackle box?
V125BC [204]
13 times 6 times 2.5 equals 195 square inches
7 0
3 years ago
Read 2 more answers
In a coastal town, the humidity, measured in grams of water per kilogram of air, increases by 43% for every 1 degree celsius inc
larisa86 [58]

Answer:

In order to increase humidity by 49.17 grams per kilogram, the increase in temperature will be 18 degree Celsius approx.

Step-by-step explanation:

Initial humidity = 5.75 g/kg

Final humidity= 49.17 g/kg

Percentage increase in humidity= (49.17-5.75)/5.75 *100= 755.13

Increase in temperature= 755.13/43 = 17.56

Increase in temperature = 18 degree Celsius approx.

4 0
3 years ago
Read 2 more answers
Oranges sell 8 for $1.84. Find the unit rate.
sweet-ann [11.9K]

Step-by-step explanation:

oranges sell 8 for 1.84$

so,

1 unit orange =\tt{\dfrac{1.84}{8}=0.23\$ } ⠀

3 0
3 years ago
What is the equation of a circle with center (-4,7) and a radius 6
s2008m [1.1K]

Answer:

( x +4)^2 + ( y-7)^2 = 36

Step-by-step explanation:

We can write the equation of a circle as

( x-h)^2 + ( y-k)^2 = r^2

where ( h,k) is the center and r is the radius

( x- -4)^2 + ( y-7)^2 = 6^2

( x +4)^2 + ( y-7)^2 = 36

7 0
3 years ago
Read 2 more answers
The general form of the equation of a circle is x2+y2−4x−8y−5=0.
valentina_108 [34]

Answer:

centre = (2, 4)

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² - 4x - 8y - 5 = 0

Rearrange the x/y terms together and add 5 to both sides

x² - 4x + y² - 8y = 5

Use the method of completing the square on both the x/y terms

add ( half the coefficient of the x/y terms )² to both sides

x² + 2(- 2)x + 4 + y² + 2(- 4)y + 16 = 5 + 4 + 16

(x - 2)² + (y - 4)² = 25 ← in standard form

with centre (2, 4) and r = \sqrt{25} = 5

4 0
3 years ago
Other questions:
  • Can someone help me plz
    12·1 answer
  • Ked
    14·1 answer
  • What is the missing angle measure of 112 68 50
    9·2 answers
  • A truck travels beneath an airplane that is moving 160 km/h at an angle of 54.0 ◦ to the ground. How fast must the truck travel
    9·1 answer
  • What are the dimensions of the matrix?
    11·2 answers
  • Vito buys a twin mattress that is 39 inches wide and 75 inches long. He wants to buy a quilt to cover the top of the mattress. W
    7·2 answers
  • hello could you please help me with this math problem with full explanation which I am unable to solve? Thanks.
    6·1 answer
  • Need some help please
    15·2 answers
  • Plz help
    11·1 answer
  • 2 24-5what is 24 - 2x wanted to 24 - 5 exponent ​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!