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
KatRina [158]
3 years ago
5

Lulu tells her little brother, Jack, that she is holding 20 coins, all of which are either dimes or quarters. They have a value

of $4.10. She says she will give him the coins if he can tell her how many of each she is holding. Solve this problem for Jack.
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
6 0

Answer:

Lulu has 14 quarters and 6 dimes

Step-by-step explanation:

Let x be the number of dimes and y the number of quarters. The sum of quarters and dime is 20 coins. Then:

x + y = 20

We also know that the value of each dime is $ 0.10 and the value of each quarter is $0.25. The total value of the coins is $4.10. Then, the number of dimes times 0.10 plus the number of quarters times 0.25 will be 4.10:

0.10x + 0.25y = 4.10

So, we have a system of 2 equations and 2 unknowns:

x + y = 20

0.10x + 0.25y = 4.10

Let´s solve the first equation for y:

x + y = 20

subtract x from both sides

y = 20 - x

And now let´s replace y in the second equation:

0.10x + 0.25(20 - x) = 4.10

Apply distributive property

0.10x + 5 - 0.25x = 4.10

subtract 5 from both sides of the equation

-0.15x = -0.9

Divide by -0.15 both sides of the equation

x = 6

Now let´s calculate y:

y = 20 - x

y = 20 - 6 = 14

Lulu has 14 quarters and 6 dimes

You might be interested in
Arnold deposited $732.19 in a savings account that earns 2.7% simple interest. What is Arnold's account balance after seven year
liq [111]

Answer:

Step-by-step explanation:

$870.57

use equation total = Principal(1 + rate*time)

3 0
3 years ago
Where dose this number go on the number line?
dusya [7]
It would go after four as it equates to about 4.2
6 0
3 years ago
Read 2 more answers
Consider the set whose elements are the graphs having vertex set {1, 2, 3, 4}, and consider the relation on that set, where two
Damm [24]

Answer:

7

Step-by-step explanation:

Let S be the set of all graphs having vertex set  \{1,2,3,4\}. The relation \rho is defined over S such that

the graphs G and H are equivalent provided that they have same number of edges. Then, the number of equivalence classes depends on how many edges can be there in the vertex set \{1,2,3,4\} .

The number of edges is 0 forms a disconnected graph which makes an equivalent class.

The graphs of 1 edge makes an equivalent class.

The graphs of 2 edges makes an equivalent class.

The graphs of 3 edges makes an equivalent class.

The graphs of 4 edges makes an equivalent class.

The graphs of 5 edges makes an equivalent class.

In similar way, the only graph of 6 edges is complete graph which forms another equivalent class.

Hence,the total number of equivalent classes is 7.

8 0
3 years ago
Math help please <br> Knock knock
mart [117]
3/9
24/54
35/5
35/7

Explanation:
express 1/2 with denominator 10

All you have to do is divide the 10 by two and multiply your result by the numerator.

Therefore: 10/2=5
5x1=5

numerator= 5
denominator=10
7 0
2 years ago
There are five 6-inch sticks and five 10-inch sticks. These sticks can be attached end-to-end to make longer sticks. For example
GalinKa [24]
If you divide all of them together starting inside of the parentheses you will get the wrong answer bc I’m just typing random thing
4 0
2 years ago
Other questions:
  • 4x^3 y(-2x^2 y) <br><br><br>-8x 6 y<br><br>-8x 5 y<br><br>-8x 5 y 2<br><br>2x 5 y 2
    9·1 answer
  • Ms. Chen is planning to take her camp group on a field trip to Pottery Bayou where each person will create her own piece of art
    8·1 answer
  • Find the value of x² - x+1 when x=√3 -1, in the form a+b√3 where a and b are integers​
    10·1 answer
  • Can somebody help me with this it really hard for me
    14·1 answer
  • what if 5 more students respond that they get to school by biking? would more students walk or ride to school explain
    5·1 answer
  • The radius of a circle is 9.7 m. Find the circumference to the nearest tenth?(help its urgent)
    6·1 answer
  • What is the value of a in the expression 7 to the power of d = of 3 square root of 7?
    9·1 answer
  • Aidan received 462 votes out of total of 825 votes cast. What percent of the votes did he get?
    8·2 answers
  • Write the expanded from of h(3k-12.4)
    14·1 answer
  • PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!