Write and solve a system of equations that represents each situation. Interpret the solution. Neil has a total of twelve $5 and $10 bills in his wallet. He has 5 times as many $10 bills as $5 dollar bills. How many of each does he have?

Answers

Answer 1

Answer: x - $5 bills
y - $10 bills

x + y = 12
y = 5x

x + (5x) = 12
6x = 12
x = 2

y = 5(2)
y = 10

10 $10 bills and 2 $5 bills

Answer 2

Answer: Let $5 bills be denoted by x and $10 bills be denoted by y.

$x + y = 12 \n y = 5x \n \n x + (5x) = 12 \n \n 6x = 12 \n \n => x = 2 \n \n y = 5x \n \n or, y = 5(2) \n \n => y = 10$

Thus, there are 2 5$ bills and 10 10$ bills.

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What is the answer to 5×23×2

Answers

The answer to that is 230. 5 times 2 is 10, and 10 times a number is that number witha zero behind it. Example: 10 times 34, that equals 340.

230 because 5x23=115 and x 2=230

Interquartile range definition

Answers

Answer:

"The interquartile range (IQR) is a measure of variability, based on dividing a data set into quartiles. ... The values that divide each part are called the first, second, and third quartiles; and they are denoted by Q1, Q2, and Q3, respectively."

Step-by-step explanation:

Which is a unit rate ???1 ) $4 for a bucket of popcorn

2 ) $20 for 5 sandwhiches

3 ) $30 for 2 concert tickets

4 ) $100 for 6 games

Answers

number 1 is a unit rate

Please. can u guys help me up

Answers

1lb = .0005 tons

400lb = 400*.0005t

400lbs=.2t

Help? I’m not really understanding this.

Answers

Answer:

x = 109

Step-by-step explanation:

$(x + 12) \degree + 59 \degree = 180 \degree \n (sum \: of \: exterior \: angles \: on \: same \: side \: \n of \: transversal) \n (x + 71) \degree = 180 \degree \n x + 71 = 180 \n x = 180 - 71 \n \purple{ \bold{ x = 109}}$

Explain how to use the combine place values strategy to find 223-119

Answers

Answer: 223 - 119 = 104

Step-by-step explanation:

For subtracting 223-119,we will write this as

H T O

2 2 3

- 1 1 9

Noe start from the right we can't subtract 9 from 3 so combine tens and ones places so that 23-19=04(should remember to place 0 before 4), after that we can simply solve the hundred to get the final answer.

H T O

2 2 3

- 1 1 9

1 0 4

So 104 is the answer.

So, the subtraction looks like this:

   223
-119
_______

The reason why combining place values here is necessary is that 3 is less than 9 (so I can't just substract in the one's place without going to negative numbers)

so we combine the ones and tens places and substract the whole: 23-19 is four!
   223
-119
_______
   04

and then we continue
   223
-119
_______
    204

and that's the result!

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