2)

A stack of $20, $50, and $100 bills was retrieved as part of a police investigation. There were 42 42 more $50 bills than $1

Misha Larkins [42]

Answer:

The number of $100 bills was 27.

The number of $50 bills was 69.

The number of $20 bills was 189.

Step-by-step explanation:

Let x be the number of $20 bills, y the number of $50 bills, and z the number of $100 bills.

Since there are three unknown values, we need three equations to solve the problem, all of them can be extracted from the question itself, two as the ratios between different bills and the last one as the sum of the total value of the money :

$y=z+42\\x=7*z\\20x+50y+100z = 9,930$

Substituting the first equations into the last, it is possible to find the value for z:

$20(7z)+50(z+42)+100z = 9,930\\z=\frac{9,930-2100}{290} \\z=27$

Knowing that there were 27 $100 bills, we can go back to the first two equations to find x and y:

$y=z+42=27+42\\y= 69\\x=7*z=7*27\\x= 189$

The number of $100 bills was 27.

The number of $50 bills was 69.

The number of $20 bills was 189.

6 0

3 years ago

tell how you know that a system of two linear equations has more than one solution. how many solutions will such a system have?

riadik2000 [5.3K]

For a <span>system of two linear equations to have more than one solution, the lines representing the equations must coincide, i.e. must be the same or a multiple of each other. In that case, the system will have infinitely many solutions.
</span>

5 0

3 years ago

Given that line segment DE is a midsegment of triangle ABC, and given that AE = 4 cm, find AC and EC. *

hram777 [196]

Do you have a picture of this problem? I don’t have enough information to solve it.

7 0

3 years ago

Read 2 more answers

Please help this is geometry and I am not quite sure how to solve this one

Lyrx [107]

Answer:

x = 1

y = 1.7

z = 60⁰

work:

z = 60 because the three angles add to 180⁰ and 180⁰ - 90⁰ - 30⁰ = 60⁰

in a 30-60-90 triangle, the hypotenuse is twice the length of the shorter leg, so x = 1.

the longer leg is the short leg * Sq rt of 3

Sq rt of 3 to the nearest tenth is 1.7, so 1.7 * 1 is still 1.7, so y = 1.7.

8 0

3 years ago

Every US. Citizen has a 9 digit social security number. The first 3 digits are a geographic code, the next two digits are determ

Ilia_Sergeevich [38]

Probability of success =

   (number of possibilities that would be considered successful)
divided by
   (total number of different possible outcomes) .

Total number of different possible outcomes =

   total number of different possible values of the last 2 digits

   = the quantity of numbers from 00 to 99

   = 100 of them .

The number of possibilities that will match your age = only 1 .

Probability that the last 2 digits match your age = 1/100 = 0.01 = 1 % .

6 0

3 years ago