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yaroslaw [1]
3 years ago
9

The cash drawer of the market contains $227. There are six more $5 bills than $10 bills. The number of $1 bills is two more than

24 times the number of $10 bills. How many bills of each kind are there?
Mathematics
1 answer:
k0ka [10]3 years ago
4 0

Answer:

There are 122 one dollar bills, 11 five dollar bills and 5 ten dollar bills.

Step-by-step explanation:

There are bills of one dollar, five dollars and ten dollars on the cash drawer, therefore the sum of all of them multiplied by their respective values must be equal to the total amount of money on the drawer. We will call the number of one dollar bills, five dollar bills and ten dollar bills, respectively "x","y" and "z", therefore we can create the following expression:

x + 5*y + 10*z = 227

We know that there are six more 5 dollar bills than 10 dollar bills and that the number of 1 dollar bills is two more than 24 times the number of 10 dollar bills, therefore:

y = z + 6\\x = 2 + 24*z

Applying these values on the first equation, we have:

2 + 24*z + 5*(z + 6) + 10*z = 227\\2 + 24*z + 5*z + 30 + 10*z = 227\\39*z + 32 = 227\\39*z = 227 - 32\\39*z = 195\\z = \frac{195}{39}\\z = 5

Applying z to the formulas of y and x, we have:

y = 5 + 6 = 11\\x = 2 + 24*5 = 122

There are 122 one dollar bills, 11 five dollar bills and 5 ten dollar bills.

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6

What do AIA, SAG, AFP and AMA all stand for? Select four options.

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6 0
2 years ago
For each value of y , determine whether it is a solution to -21=6y-9 . A -5, B 3 , C -2, D 9
Nezavi [6.7K]

Option C

For each value of y, -2 is a solution of -21 = 6y - 9

<u>Solution:</u>

Given, equation is – 21 = 6y – 9  

We have to find that whether given set of options can satisfy the above equation or not

Now, let us check one by one option

<em><u>Option A) </u></em>

Given option is -5

Let us substitute -5 in given equation

- 21 = 6(-5) – 9

- 21 = -30 – 9  

- 21 = - 39  

L.H.S ≠ R.H.S ⇒ not a solution

<em><u>Option B)</u></em>

Given option is 3

- 21 = 6(3) – 9  

- 21 = 18 – 9  

- 21 = 9  

L.H.S ≠ R.H.S ⇒ not a solution

<em><u>Option C)</u></em>

Given option is -2

- 21 = 6(-2) – 9  

- 21 = - 12 – 9  

- 21 = - 21  

L.H.S = R.H.S ⇒ yes a solution

<em><u>Option D)</u></em>

- 21 = 6(9) – 9

- 21 = 54 – 9  

- 21 = 45  

L.H.S ≠ R.H.S ⇒ not a solution

Hence, the solution for the given equation is – 2, so option c is correct

6 0
3 years ago
F(x)=-x^3-x^2+1 what is f(-1)
xxMikexx [17]
-1^3 - -1^2 +1= -1. ...........
8 0
3 years ago
Estimate : 1) 48% of 8 2) 3% of 119 3) 26% of 32 4) 76% of 280
zaharov [31]
1) 48% of 8=3.84 
2) 3% of 119=3.57
3) 26% of 32=8.32
4) <span>76% of 280=212.8

Hope this helps ya!</span>
7 0
3 years ago
The cost of hiring a taxi consists of a fixed cost of $3 plus $0.5 per kilometer distance travelled. Write an expression in term
irinina [24]

Answer:

The required expression is:

  • y = 0.5x + 3

Please check the attached graph too.

Step-by-step explanation:

The slope-intercept form of the linear or line function

y = mx+b

where

  • m is the rate of change or slope
  • b is the y-intercept

In our case,

The cost of hiring a taxi consists of a fixed cost of $3. It means the fixed cost of $3 is the initial condition.

Thus, the y-intercept b = 3

It is stated that the cost of per kilometer distance = $0.5

Thus, the rate of change or slope m = 0.5

As y represents the cost and x represents the number of kilometers.

so substituting m = 0.5 and b = 3 in the slope-intercept form of the linear or line function

y = mx+b

y = 0.5x + 3

Thus, the required expression is:

  • y = 0.5x + 3

Please check the attached graph too.

5 0
3 years ago
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