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]
3 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]3 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
Evaluate the expression when d=-3 |d|
nirvana33 [79]
Alright. Start by plugging in -3 for d. There are absolute value signs on the outside, so it negates the negative and makes it just 3. I hope this helps you. 

From, 
Am3865211
8 0
2 years ago
Which of the following points IS a solution to the system: y > - 3x + 4 / y > 2x / - y < 7 Selected answer is not corre
Lady bird [3.3K]

Answer:

Solution : Third Option

Step-by-step explanation:

The first step here is to make all the signs uniform. As you can see the third inequality has a less than sign, which we can change to a greater than sign by dividing negative one on either side, making the inequality y > - 7.

\begin{bmatrix}y>-3x+4\\ y>2x\\ y>-7\end{bmatrix}

Now take a look at the third option. Of course the y - coordinate, 3, is greater than - 7, so it meets the third requirement ( y > - 7 ). At the same time 3 > 1( 2 ) > 2, and hence it meets the second requirement as well. 3 > - 3( 1 ) + 4 > - 3 + 4 > 1, meeting the first requirement.

Therefore, the third option is a solution to the system.

6 0
2 years ago
At the fast food restaurant, an order of fries costs $1.13 and a drink costs $0.95. How much would it cost to get 3 orders of fr
Studentka2010 [4]

Answer:

Step-by-step explanation:

6 0
2 years ago
Solve the system of equations y= x+2. Y=x^2+5x+6
Serggg [28]
This is already solved.
8 0
3 years ago
Read 2 more answers
-2x^4 +50x^2+0x-3/x-5
Gemiola [76]
1) "x2" was replaced by "x^2". 1 more similar replacement(s).
Raising zero to a power is not allowed
3 0
3 years ago
Other questions:
  • What is 10,504,006 in word form and in exapnded form
    15·2 answers
  • Help please !!!!!!!!
    6·1 answer
  • HELP PLEASE!!!!
    7·2 answers
  • Find the value: (5.2 x 10^-1)(3.0 x 10^1) *
    12·2 answers
  • I dont quite understand how to do this​
    5·1 answer
  • A bottle containing 64 fluid ounces of juice costs $3.84. What is the unit rate?
    8·2 answers
  • Write the word sentence as an inequality. Then solve the inequality.
    13·1 answer
  • How many tiles with dimensions 14 cm and 9 cm will be needed to fit in a rectangular
    5·1 answer
  • At the end of a construction​ project, the project manager is totaling up the cost of building materials used on the job. He arr
    14·1 answer
  • 8) What is 7.1 x 10-3 in standard form? A) 0.0071 B) 0.071 C) 710 x D) 7,100
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!