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
Sergio [31]
4 years ago
9

Alexandra has some dimes and some quarters. She has no more than 21 coins worth a minimum of $3.75 combined. If Alexandra has 4

dimes, determine the minimum number of quarters that she could have. If there are no possible solutions, submit an empty answer.
Mathematics
1 answer:
olga55 [171]4 years ago
4 0

Answer:

A minimum of 10 dimes and 11 quarters is what Alexandra will have

Step-by-step explanation:

Let

d = number of dimes

q = number of quarters

Since she has 21 coins altogether,

d + q = 21------------------------equation 1    

  •  If these coins are worth $3.75 then

0.10 x d + 0.25 x q = 3.75

  • which is 0.10d +.25q =3.75 --------------------------equation 2

where $.10 is the value of one dime and $.25 is the value of one quarter

make d the subject of formula from equation 1 d = 21 -q----------equation 3

 insert it in equation 2

0.10d +0.25q =3.75

0.10(21-q) + 0.25q = 3.75

0.1(21)-0.1q+0.25q=3.75

2.1 +0.15q = 3.75

0.15q  = 3.75-2.1 = 1.65

q = 1.65/0.15 =165/15 =11

  • since we have the value of q insert in equation 3

d = 21 - q

d = 21-11

d = 10

Alexandra has 10 dimes and 11 quarters.

from my calculation i can see that the a minimum of 10 dimes and 11 quarters is what Alexandra will have

You might be interested in
Which is the better buy?<br> 12 bars of soap for $10.00 or 5 bars of soap for $4.00
likoan [24]
5 Bars of soap for $4.00 Why? Because you if you buy two it cost $8.00 or buy three pack and you'll get 15 for $12.00
3 0
3 years ago
Read 2 more answers
Evaluate the function <br><br> f(x) = 3x^2 + 4x + 19<br><br> Find f(-7)
yanalaym [24]

Answer:

Step-by-step explanation:

3

x

2

+

4

x

+

19

−

f

(

x

)

=

0

3 0
1 year ago
Find y.
Elena L [17]

Answer:

Step-by-step explanation:

sin A = \frac{opposite side}{Hypotenuse}

Sin 29 = \frac{y}{500}

0.4848 * 500 = y

y = 242.4 ft

4 0
3 years ago
Read 2 more answers
Two teachers compared the mean absolute deviation of the scores from the semester exam they gave to their students. Mrs. Alvarez
Monica [59]

Answer:

C. Mrs. Alvarez's scores were less spread out than Mr. Crawford's scores.

Step-by-step explanation:

Mean Absolute Deviation is one of the Statistical measures which we can you to determine the variation that exist amongst a given set of data

Mean Absolute Deviation can be defined as how far or the distance between one set of data to another set of data.

The smaller the Mean Standard Deviation, the lower the degree of variation in the set of data. The data is less spread out

The larger the Mean Standard Deviation, the higher the degree of variation in the set of data. The data is Largely spread out

We are told in the question that:

Mrs. Alvarez's scores had a lower mean absolute deviation than Mr. Crawford's scores. Our conclusion would be that Mrs. Alvarez's scores were less spread out than Mr. Crawford's scores.

Option 2 is correct.

3 0
4 years ago
The proportionality constant (y to x) is
NeTakaya

Answer:

the constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
Other questions:
  • Find the surface point of the rectangular prism
    7·1 answer
  • When it comes to finding the common denominator, do I add or subtract it to the denominator ​
    7·2 answers
  • Write an inequality and show on a number line all numbers:from (–3) to 2 exclusive.
    6·1 answer
  • In a certain game a player can solve east or hard puzzles. A player earns 30 points for solving an easy puzzle and 60 points for
    6·1 answer
  • (Algebra II) 11. d. &amp; e.
    8·1 answer
  • Help please please please please
    6·2 answers
  • If ‘p’ and ‘q’ are co-interior angles, write the relation <br><br> between them​
    8·1 answer
  • Just wondering does anyway else do vava? 8th grade
    14·2 answers
  • Solve for X please and thank u
    14·1 answer
  • HELP ASAP!!! WILL MARK BRAINLIEST!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!