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
For what values of x does 25^x = 5^x^2-3?
weeeeeb [17]
Attached solution with detailed work.

6 0
2 years ago
Read 2 more answers
URGENT will give brilliant mark For the reaction 2Na + Cl2 ------ 2NaCl, how many grams of sodium chloride can be produced from
SVETLANKA909090 [29]

Answer:

825 g

Step-by-step explanation:

Here's my work:

500g Cl2 l   1mol Cl2  l  2 mol NaCl   l  58.5 g NaCl

                l   71 g Cl2    l  1 mol Cl2      l    1 mol NaCl  

= 823.94  - the rounding can be a little off

The first thing you have to do is convert the 500 g of Cl2 into moles.  So you get the mass of Cl which is 35.5, but Cl is diatomic by itself so you multiply 35.5 x 2 and get 71.   now on the third column you are comparing the mol ratios of the equation.  The equation is 2Na + Cl2 ---> 2NaCl, so you see that there is no coefficient in front of Cl2 so that means there is 1 mol, and then you see that in the product there is a  coefficient of 2 in front of NaCl so that means there is 2 moles.  Then finally you have to convert the moles backs into grams where you just add the masses of Na and Cl .  You multiply across the top  and then divide that number by the bottom row.

6 0
2 years ago
A + B = 40 B + C = 50 C + A = 30 Give a whole number value for A, B and C to make the above true. A = _____ B = _____ C = _____
Anestetic [448]

Answer:

a=10 b=30 c=20

Step-by-step explanation:

10+30=40 30+20=50 20+10=30

4 0
2 years ago
5/6 x 12 in simplest form?
Jlenok [28]

Answer:

10

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What are the potential solutions to the equation 2ln(x+3)=0
skad [1K]
2\ln(x+3)=0\implies \ln(x+3)^2=0\implies e^{\ln(x+3)^2}=e^0\implies (x+3)^2=1

Expanding the left side gives

x^2+6x+9=1\implies x^2+6x+8=0\implies (x+4)(x+2)=0

which gives two solutions, x=-4 and x=-2. But if x=-4, then \ln(x+3)=\ln(-1), but this number isn't real, so x=-4 is an extraneous solution. Meanwhile if x=-2, you get \ln(-2+3)=\ln1=0, so this solution is correct.

"Potential solutions" might refer to both possibilities, but there is only one actual (real) solution.
4 0
3 years ago
Read 2 more answers
Other questions:
  • A fair dice is rolled. Work out the probability of getting a factor of 12.
    15·2 answers
  • Solve the linear equation.
    15·2 answers
  • Find the y-intercept of the parabola y=x^2-4x+1/2
    8·1 answer
  • Find all solutions<br> 2cos(theta)+1=0<br> write in radians in terms of pi.
    12·1 answer
  • Find the mean, median, mode, and range of these numbers 75,95,90,95,60,95,75,95,90<br> Plzzzzzz
    11·2 answers
  • (REPOST)
    13·2 answers
  • Please help me
    15·2 answers
  • For each part, write the equation that represents the line in slope-intercept form (y = mx + b) and standard form (ax + by = c w
    6·2 answers
  • Put your he following numbers in order from least to greatest. -3.2, 1, 2.5, -1/2, -2.9
    14·2 answers
  • Abraham ha $16 to spend on five pencils. After buying them, he has $6.25 left. How much was each pencil?​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!