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
Vesnalui [34]
3 years ago
9

Sierra has a total of 61 dimes and quarters in her piggybank. She has 3 more quarters than dimes. The coins have a total value $

10.90. How many dimes and how many quarters does she have? [hint: use the decimal values of the c coins to write an equation.]
Mathematics
1 answer:
cluponka [151]3 years ago
7 0
Since you have two unknowns, you must formulate 2 equations in order to solve the system. Let x be the numbers of dimes and y be the number of quarters. The equations are:

x + y = 61
y = x + 3

Since a dime is 1/10 of a dollar and a quarter is 1/4 of a dollar,
(1/10)x + (1/4)y = 10.90

We made 3 equations. The system is overspecified. Let's just use the first two equations and apply it to the third for verification.

x + (x + 3) = 61
Solving for x,
x = 29
y = 29 + 3 = 32

Verifying,
(1/10)(29) + (1/4)(32) = 10.90

Hence, there are 29 dimes and 32 quarters.
You might be interested in
Find two whole numbers with a sum of 15 and a product of 54
likoan [24]
A+b=15----(1)
a*b=54----(2)

(1) a=15-b ----(3)

put(3) in(2)

(15-b)*b=54
15b-b^2=54
b^2-15b+54=0
(b-9)(b-6)=0
so b=9 or b=6

if b=9 then a=15-9=6
if b=6 then a=15-6=9

answer two numbers are 6 and 9
3 0
3 years ago
Carl is raising money for his football team. He is selling chocolate bars for $1.50 each and cookies for $2. He sold all 20 of h
stich3 [128]

Answer:

Carl has to sell at least 8 cookies.

c\geq 7.5

Step-by-step explanation:

Carl gets \$1.50 by selling 1 chocolate bar.

Earning from chocolate bars:

Total\ chocolate\ bar=20\\\\Earning\ from\ one\ chocolate\ bar=\$1.50\\\\Total\ earning\ from\ chocolate\ bar=Total\ chocolate\ bar\times cost\ of\ 1\ chocolate\ bar=20\times 1.5=\$30

Earning From cookies:

Let\ total\ number\ of\ cookies=c\\\\Cost\ of\ 1\ cookie=\$2\\\\Earning\ from\ cookies=2\times c=2c

Total\ earning=Earning\ from\ cookies+Earning\ from\ cookies+Earning\ from\ chocolate\ bars\\\\Total\ earning=30+2c

Carl wants to raise at least \$55

Total\ earning\geq 55\\\\2c+30\geq 55\\\\2c\geq 55-30\\\\2c\geq 15\\\\c\geq7.5

7 0
3 years ago
What is the simplest form of the number 27 2/3
Rashid [163]
The simplest for this answer is 27.66666666..... or 83/3. Hope it help!
8 0
2 years ago
Read 2 more answers
How to get 3.15 ratio
REY [17]

Answer:

Step 1) Convert the 3.15 percent to a decimal number.

To convert 3.15 percent to a decimal number, you divide 3.15 by 100. In other words, the quotient you get when you divide 3.15% by 100 is the decimal number.

3.15 ÷ 100 = 0.0315

Step 2) Convert the decimal number to a fraction.

To convert the decimal number to a fraction, we make the decimal number the numerator, and 1 the denominator.

0.0315  =  

   

0.0315

   

1

Step 3) Remove the decimal point in the numerator.

To remove the decimal point in the numerator, multiply both the numerator and denominator by 10000.

   

0.0315 × 10000

   

1 × 10000

 =  

   

315

   

10000

Step 4) Simplify the fraction.

The greatest common factor of 315 and 10000 is 5. Therefore, to simplify the fraction, divide the numerator and denominator by 5.

   

315 ÷ 5

   

10000 ÷ 5

 =  

   

63

   

2000

Step 5) Convert the fraction to a ratio.

To convert the fraction to a ratio, replace the fraction divider line with a colon.

   

63

   

2000

 =  63:2000

That was the final step. Below is the answer to 3.15 percent as a ratio.

3.15% = 63:2000

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Need Help With Math Problem
ioda
It’s b i’ve had this before
7 0
2 years ago
Other questions:
  • PLEASE HELP!!! solve for X
    5·1 answer
  • What polynomial has roots of −5, −4, and 1
    15·1 answer
  • tyler read 15 pages of a book. Ann read 9 pages of the same book. Did Tyler read 4 more pages than Ann? Explain
    5·1 answer
  • Simply the given expression. Type your answer in the blank. -10k+15+17k
    7·1 answer
  • Steve wants to know what the average ACT scores of students graduated from his high school is. He randomly selected 25 students
    5·1 answer
  • Solve the following equation for x using inverse operations 7x-15=1
    12·2 answers
  • Henry is making hot chocolate. He used the amount of milk shown in the measuring cup. Use the figures to answer4-6
    8·1 answer
  • If the paperboy is paid $4.55 an hour and he works 3 2/3 hours a day
    6·1 answer
  • What are the zeros of the function?
    10·1 answer
  • 7x - 4 ≤ 6<br><br> solving inequalities
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!