Dustin has only nickels and quarters in his piggy bank. He has 49 coins total for a combined value of $8.85. How many of each does he have . SHow your work


Answer 1
Answer: x-\ nickels\ny-\ quarters\n\n0,05x+0,25y=8,85\nx+y=49\ \ \ \ x=49-y\n\n\0,05(49-y)+0,25y=8,85\n2,45-0,05y+0,25y=8,85\n0,2y+2,45=8,85\ \ \ | subtract\ 2,45\n0,2y=6,4\ \ \ | divide\ by\ 0,2\ny=32\n\nx=49-32=17\n\nHe\ had\ 17\ nickels\ and\ 32\ quarters.

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If a salesman sold 6358 books. each book cost $8.00. how much money did he make ?

Write a function, f(x) , to represent how much money Alex collected from selling tickets



normally the ammmount you earn is calculated by (how many you sold) times (how much 1 costs)

so lets say each ticket costs c
he sold x tickets

f(x)=cx where c=cost per ticket and x=number of tickets sold

How to solve 2x-5+3a-5x+10a for combining like terms


2x -5x
3a + 10a
And -5
Combine and you get:

-3x + 13a - 5

What is the inquality



Step-by-step explanation:

Equations and inequalities are both mathematical sentences formed by relating two expressions to each other. In an equation, the two expressions are deemed equal which is shown by the symbol =. ... An equation or an inequality that contains at least one variable is called an open sentence.

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value. a ≠ b says that a is not equal to b. a < b says that a is less than b. a > b says that a is greater than b. (those two are known as strict inequality)

Difference in size,degree,circumstances etc lack of equality.

What is the common factors of 96 and 144


Factors of 144:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Factors of 96:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

The common factors of both numbers:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48

GCF = 48

You flip 3 coins. What is the probability that you get exactly 2 heads?


the probability of one head must be 3/8. I believe there is a 50% chance of getting a toss of more then 1 head in 3 tosses.

To increase an amount by 22%, multiply by?


Multiply by .22 then add that answer to what you multiplied. For example, you need to increase 100 by 22%. 100 × .22 = 22. 100 + 22 = 122

Final answer:

To increase a given amount by 22%, you should multiply the original amount by 1.22. This conversion results from adding the 22% increase to the 100% of the original amount, thus totaling 122%, or 1.22 when expressed in decimal form.


To increase an amount by 22%, you should multiply the original amount by 1.22. This is because the original amount is considered 100%, or 1 when we talk in decimal terms. To find a 22% increase, you add this percentage to the 100% of the original, making a total of 122%, which translates to multiplying by 1.22 in decimal.

For instance, if you have a value of 50 and you want to increase it by 22%, you multiply 50 by 1.22 (50*1.22 = 61). Therefore, a 22% increase of 50 is 61.

Learn more about Percentage Increase here: