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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.)

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Find the perimeter of the polygon with the given vertices. C(4, -1), D(4,−5), E(2,−3)
Aleksandr [31]

Answer:

8 units

Step-by-step explanation:

find the distance of the lines through coordinates given

distance formula: \sqrt{(x_{1}-x_{2})+(y_{1} -y_{2} )  }

i) CD=\sqrt{(4-4)^2 +(-1+5)^2}

  CD=\sqrt{0+4^2}

  CD=4 units

ii) DE=\sqrt{(4-2)^{2}+(-5+3)^2 }

 DE=\sqrt{(2)^2+(-2)^2}

 DE=\sqrt{8}

 DE= 2 units

iii) ED=\sqrt{(2-4)^2+(-3+1)^2}

   ED=\sqrt{(-2)^2+(-2)^2}

   ED=\sqrt{8}

   ED= 2 units

perimeter of polygon= 2 units+ 2 units+ 4 units

                                  =8 units

4 0
3 years ago
What does 108 × 1/3 equal?​
Alisiya [41]

Answer:

It would be 36

Explanation:

<em>First:</em>

<em>Convert any mixed numbers to fractions.</em>

<em>Then your initial equation becomes:</em>

<em>108/1 ×1/3</em>

<em> </em>

<em>Applying the fractions formula for multiplication,</em>

<em>=108×1/1×3 = 108/3</em>

<em> </em>

<em>Simplifying 108/3, the answer is</em>

<em>=36</em>

hope it helped. :)

5 0
3 years ago
Multiple Choice
inessss [21]
Answer:
B
Step-by-step explication:
(1/4)/(3/8)=(2/3)
5 0
3 years ago
Which is which
kenny6666 [7]

Answer and Explanation:

To find : Which number is in standard notation or scientific notation?

Solution :

Scientific notation is a special ways of writing the standard form of number.

Scientific notation make a big number into smaller way bye writing it into 10 to the power or using E.

Standard notation is like 12,47950585,89000.

Scientific notation is like 1.43\times 10^3 , 1.43E10

So, Now we examine the numbers,

A) 5.9E10 is the Scientific notation.

B) 0.0000734 is the Standard notation.

C) 2.66\times 10^{-3} is the Scientific notation.

D) 641,000,000,000 is the Standard notation.

5 0
3 years ago
Read 2 more answers
Vina has $4.70 in quarters, dimes and nickels in her purse. She has nine more dimes than quarters and four more nickels than qua
Aneli [31]

Step-by-step explanation:

Vina has $4.70 in quarters, dimes and nickels in her purse. She has nine more dimes than quarters and four more nickels than quarters. How many of each coin are in her purse?

nickels

dimes

quarters

4 0
3 years ago
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