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
RoseWind [281]
3 years ago
8

A cash box of $1 and $5 bills is worth $45. The number of $1 bills is three more than the number of $5 bills. How many of each b

ill does it contain?
PLEASE HELP ME!!!!!!!!!!!
Mathematics
1 answer:
Softa [21]3 years ago
6 0

Answer:

  • 7 $5 bills
  • 10 $1 bills

Step-by-step explanation:

If we take out the extra $3, we can group the bills into one each of $5 and $1, for a value of $6. There will be 7 such groups in the remaining $42.

That means there are 7 bills of the $5 denomination, and 3 more than that (10 bills) of the $1 denomination.

There are 7 $5 bills and 10 $1 bills.

_____

If you want to write an equation, it is usually best to let a variable stand for the most-valuable contributor. Here, we can let x represent then number of $5 bills. Then the value of the cash box is ...

  5x +(x+3) = 45

  6x = 42 . . . . . . . . subtract 3, collect terms

  x = 7 . . . . . . . . . . . there are 7 $5 bills

  x+3 = 10 . . . . . . . . there are 10 $1 bills

You may notice that this working parallels the verbal description above. (After we subtract $3, x is the number of $6 groups.)

You might be interested in
Suppose there are n independent trials of an experiment with k3 mutually exclusive​ outcomes, where pi represents the probabilit
sasho [114]

Complete question :

Suppose there are n independent trials of an experiment with k > 3 mutually exclusive​ outcomes, where Pi represents the probability of observing the ith outcome. What would be the formula of an expected count in this​ situation?

Answer: Ei = nPi

Step-by-step explanation:

Since Pi represents the probability of observing the ith outcome

The number of independent trials n = k>3 :

Expected outcome of each count will be the product of probability of the ith outcome and the number of the corresponding trial.

Hence, Expected count (Ei) = probability of ith count * n

Ei = nPi

8 0
3 years ago
1. The company has agreed on a 9- character password format, comprised of uppercase letters, lower case letters, and digits (0-9
pochemuha

Answer: a) 1977060966, b) 146581344.

Step-by-step explanation:

Since we have given that

There are 10 numbers,

There are 26 lower case letters,

There are 26 upper case letters,

Since the first 3 characters have to be digits and next 6 can be upper or lower.

So, a) repetitions are allowed:

10^3\times (26+26)^6\\\\=10^3\times 52^6\\\\=1977060966

b) repetitions are not allowed:

^{10}P_3\times ^{52}C_6\\\\=720\times 20358520\\\\=146581344

Hence, a) 1977060966, b) 146581344.

5 0
3 years ago
Which sentence best contrasts Greg’s father and Lemon Brown, in "The Treasure of Lemon Brown”? Lemon Brown has shown a deep conc
Vika [28.1K]

Answer:

the correct answer will be B i took the test and got a 100%

Step-by-step explanation:

B. Lemon Brown has lived a more exciting life of a musician, while Greg’s father lives a more stable existence as a postal worker.

6 0
3 years ago
Choose a number between 67 and 113 that is a multiple of 3, 9, and 12
Anestetic [448]
72 is multiples of 3,9, and 12
3 0
3 years ago
Help urgently please!
Nataliya [291]
1.
Slope-300.
Y int: 40,000
Y=300x+40000
2.
S: -5
Y: 250
Y=-5x+250
3.
S: 2
Y: 5
Y=2x+5
4.
S: 150
Y: 350
Y=150x+350
The last question is cut off.
5 0
3 years ago
Other questions:
  • Big Bob weighs 350 pounds. After one month of dieting, he lost 5% of his original weight. During the second month of dieting, he
    7·1 answer
  • Anybody have the answer?
    15·1 answer
  • Andrea baked h muffins.Violet baked 8 fewer muffins than Andrea.Find the average number of muffins baked by both girls,in terms
    15·1 answer
  • Pls help and show work pls
    6·1 answer
  • In simplest firm what is 5/8 + 3/10
    10·2 answers
  • Write the explicit formula for an, the nth term of the sequence 38, 48, 58
    12·1 answer
  • The graph of a quadratic function is shown on the grid. Which equation best represents the axis of symmetry?
    8·1 answer
  • 7. By selling a bicycle for * 2,850, a shopkeeper gains 14%. If the profit is reduced to 8%, then the selling price
    7·1 answer
  • HELP PLEASE!!! ALSO. PLEASE NO LINKS, JUST GIVE ME THE ANSWER
    7·1 answer
  • Calculate 28×13 and use roman numerals to write the equation and answer​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!