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GREYUIT [131]
3 years ago
11

James has a total of 66 dollars in his piggy bank. He only has one dollar bills and two dollar bills in his piggy bank. If there

are a total of 49 bills in James's piggy bank, how many one dollar bills does he have?
Mathematics
1 answer:
gavmur [86]3 years ago
5 0

Answer:

32 one-dollar bills.

Step-by-step explanation:

Let <em>x </em>represent one-dollar bills and <em>y </em>represent two-dollar bills.

He has a total of 49 bills. Therefore:

x+y=49

The total amount of money James has is 66. <em>x</em> is worth one dollar, while <em>y</em> is worth two dollars. Therefore:

1x+2y=66\\x+2y=66

We have a system of equations. Solve by substitution:

x+2y=66\\x+y=49\\x=49-y\\(49-y)+2y=66\\y=17\\x=49-17=32

Therefore, James has 32 one-dollar bills and 17 two-dollar bills.

Checking:

32(1)+17(2)\stackrel{?}{=}66\\32(1)+17(2)\stackrel{\checkmark}{=}66\\\\32+17\stackrel{?}{=}49\\49\stackrel{\checkmark}{=}49

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Answer:

A histogram

Step-by-step explanation:

This type of graph is used with quantitative data. Ranges of values, called classes, are listed at the bottom, and the classes with greater frequencies have taller bars.

5 0
3 years ago
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What is 20% of 55? (show work)
SCORPION-xisa [38]
I know that 20% is out of 100.If I changed this problem to be a fraction problem,I would change that percent to 20/100.55 would be the denominater of the other fraction.Right now we're trying to find the numerator for the denominator of 55 to make this a complete fraction.Secondly,I would try to find a common denominator to get my answer.I'm going to make the common denominator......5500.As my teacher always said what you do to the bottom you do to the top and it goes the other way around too.So, i will times 20*55 to get my numerator.This equals 1100.Now I would divide this fraction by 100 to get my finished answer.The answer is 11 is 20% of 50.
4 0
3 years ago
Write two numbers which his greatest common divisor is 210 and to be between 10000 and 11000
torisob [31]

Answer:

  10080, 10290

Step-by-step explanation:

The multipliers of 210 required will be mutually prime integers that satisfy ...

  10000 ≤ 210n ≤ 11000

  47.61 ≤ n ≤ 52.38

That is, you want a pair of integers, each between 48 and 52, that have no common factors. Possibilities include ...

  (48, 49), (49, 50), (49, 51), (49, 52), (50, 51), (51, 52)

For the above numbers, we have chosen ...

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3 0
3 years ago
When a number is subtracted from 24 and the difference is divided by that number, the result is 3. what is the value of the numb
Amiraneli [1.4K]

Answer: C

Step-by-step explanation:

Considering the number to be = x

Interpreting the question

( 24 - x )/x =  3

By multiplying through by x , or cross multiply using a layman language,

     24 - x = 3x, since 3 is an integer

solving for x

   3x + x = 24

        4x = 24

         x  = 6

Therefore, the option is C

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3 years ago
Which number line represents the solution set for the inequality 3(8 – 4x) &lt; 6(x – 5)?
fiasKO [112]

The number will represent a number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.

<h3>Inequality expression</h3>

Inequality are expressions not separated by an equal sign. Given the inequality expression:

3(8 – 4x) < 6(x – 5)

Expand

24 - 12x < 6x - 30

Collect the like terms

-12x-6x < -30 - 24

-18x <-54

x > 3

Hence the number will represent a number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.

Learn more on number line here; brainly.com/question/12399107

#SPJ1

8 0
2 years ago
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