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
Aleonysh [2.5K]
2 years ago
5

Scott bought a pen and received change of $4.75 in 25 coins, all dimes and quarters. How many of each kind did he receive?

Mathematics
1 answer:
dangina [55]2 years ago
7 0

Answer:

He received 10 dimes and 15 quarters.

Step-by-step explanation:

Dimes = $0.10

Quarters = $0.25

Variable x = dimes

Variable y = quarters

Create a pair of linear equations:

0.10x + 0.25y = 4.75

x + y = 25

Isolate any variable, using an equation of your choice:

x + y = 25

x = 25 - y

Plug in this new value of x into the other equation:

0.10(25 - y) + 0.25y = 4.75

Use the distributive property:

2.5 - 0.10y + 0.25y = 4.75

Combine like terms:

2.5 + 0.15y = 4.75

Isolate variable y:

0.15y = 2.25

y = 15

Plug in the value of y into any equation:

x + y = 25

x + 15 = 25

Isolate variable x:

x = 10

You might be interested in
Which expression is equivalent to 64y18 – 1000z6?
natta225 [31]

Answer:

(4y^{6})^{3}-(10z^{2})^{3}

Step-by-step explanation:

we have

64y^{18}-1000z^{6}

we know that

64=4^{3}

y^{18}=(y^{6})^{3}

1000=10^{3}

z^{6}=(z^{2})^{3}

Substitute the values in the expression

(4^{3})((y^{6})^{3})-(10^{3})((z^{2})^{3})

(4y^{6})^{3}-(10z^{2})^{3}

3 0
3 years ago
Read 2 more answers
Match the quadratic equation 
marta [7]
The last choice is the correct one
4 0
3 years ago
PLEASE HELP QUICK i dont need work to be shown
andre [41]

Answer:

Step-by-step explanation:

7 0
3 years ago
PLEASE HELP I WILL GIVE BRAINLIEST!! What is the area of the figure? Enter your answer in the box. in² A square with a length of
m_a_m_a [10]

Answer:

Step-by-step explanation:

10 by 2

7 0
3 years ago
A model of the is 2.9 ft tall and 1.2 ft wide. The Eiffel Tower is actually 410 ft wide. What is the actual height of the Eiffel
AVprozaik [17]
By setting up proportions and cross multiplying, the height would be 990.8. 
5 0
3 years ago
Other questions:
  • What are the steps for substitution(word problems)? Please and thanks!
    15·1 answer
  • When 15 minus 3 is multiplied by a number the product is 2.
    9·1 answer
  • Select the equation that is true for all values of x?
    5·1 answer
  • 29) PLEASE HELP WITH QUESTION.<br><br> MARKING BRAINLIEST + POINTS GIVEN.
    14·1 answer
  • I need help on this question
    15·2 answers
  • Kevin claims he can draw a trapezoid with three right angles. Is this possible? Explain
    14·2 answers
  • Help pls 20 points <br><br><br> What is the value of x?<br> Enter your answer in the box.
    11·1 answer
  • Enter five million, twenty thousand, twenty six in expanded form
    6·1 answer
  • Holy god<br> just please help me will give brainliest no links
    14·1 answer
  • Misaki’s fish tank is half full of water because she is cleaning it. The tank is a right rectangular prism with a length of 8 in
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!