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
laiz [17]
3 years ago
13

The cash drawer in a market stall contains $227 in bills. There are six more $5 bills than the number of $10 bills. The number o

f $1 bills is two more than 24 times the number of $10 bills. How many bills of each kind are there?
Mathematics
1 answer:
Katarina [22]3 years ago
4 0
X = number of $10 bills 

<span>X + 6 = number of $5 bills </span>

<span>24X + 2 = number of $1 bills </span>

<span>10X + 5(X + 6) + 1(24X + 2) = 227 hope it helps!!!!!!!

</span>
You might be interested in
.What is four fiths as a decimal?
jok3333 [9.3K]

Step-by-step explanation:

4/5 divide

0.8 is the ans

3 0
3 years ago
Read 2 more answers
Determine all prime numbers a, b and c for which the expression a ^ 2 + b ^ 2 + c ^ 2 - 1 is a perfect square .
kogti [31]

Answer:

The family of all prime numbers such that a^{2} + b^{2} + c^{2} -1 is a perfect square is represented by the following solution:

a is an arbitrary prime number. (1)

b = \sqrt{1 + 2\cdot a \cdot c} (2)

c is another arbitrary prime number. (3)

Step-by-step explanation:

From Algebra we know that a second order polynomial is a perfect square if and only if (x+y)^{2} = x^{2} + 2\cdot x\cdot y  + y^{2}. From statement, we must fulfill the following identity:

a^{2} + b^{2} + c^{2} - 1 = x^{2} + 2\cdot x\cdot y + y^{2}

By Associative and Commutative properties, we can reorganize the expression as follows:

a^{2} + (b^{2}-1) + c^{2} = x^{2} + 2\cdot x \cdot y + y^{2} (1)

Then, we have the following system of equations:

x = a (2)

(b^{2}-1) = 2\cdot x\cdot y (3)

y = c (4)

By (2) and (4) in (3), we have the following expression:

(b^{2} - 1) = 2\cdot a \cdot c

b^{2} = 1 + 2\cdot a \cdot c

b = \sqrt{1 + 2\cdot a\cdot c}

From Number Theory, we remember that a number is prime if and only if is divisible both by 1 and by itself. Then, a, b, c > 1. If a, b and c are prime numbers, then  2\cdot a\cdot c must be an even composite number, which means that a and c can be either both odd numbers or a even number and a odd number. In the family of prime numbers, the only even number is 2.

In addition, b must be a natural number, which means that:

1 + 2\cdot a\cdot c \ge 4

2\cdot a \cdot c \ge 3

a\cdot c \ge \frac{3}{2}

But the lowest possible product made by two prime numbers is 2^{2} = 4. Hence, a\cdot c \ge 4.

The family of all prime numbers such that a^{2} + b^{2} + c^{2} -1 is a perfect square is represented by the following solution:

a is an arbitrary prime number. (1)

b = \sqrt{1 + 2\cdot a \cdot c} (2)

c is another arbitrary prime number. (3)

Example: a = 2, c = 2

b = \sqrt{1 + 2\cdot (2)\cdot (2)}

b = 3

4 0
3 years ago
Can someone please help me on this
Naddik [55]
12345678911111111111
7 0
3 years ago
Taylor kept track of the number of hours that he spent at the media center each week for several weeks. He spent 8, 2, 5, 10, an
Bas_tet [7]
What is the question?
7 0
3 years ago
Read 2 more answers
The earth is approximately 92,900,000 miles from the sun. If 1 mile = 1.61 x 103 m, what is the distance to the sun in meters?
Dmitriy789 [7]

Answer:

here you go

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Write an expression for the words - Divide 10 by 4 and then subtract 6.2
    7·2 answers
  • The regular price of a watch is 28.25 during a sale the watch was marked 12% off what was the price of the watch during the sale
    8·1 answer
  • Select the factors that can be divided out to simplify the multiplication problem: 4/26 x 13/20. Select all that apply. A. 2 B.
    14·2 answers
  • michelle lives with 2 brothers, 3 sisters, her mother, and her father. including Mitchell, 3/4 of her family likes to go swimmin
    9·2 answers
  • Sale! 25% OFF
    13·2 answers
  • Just need a correct answer.
    14·2 answers
  • If I have 25 marbles and I have to divide them for 25 people how much will that be
    6·2 answers
  • Write the equation of a line in the given form.
    5·1 answer
  • If it is 5 degrees outside, and the temperature will drop 12
    11·1 answer
  • Please help me with my math please.?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!