.4! CAN SOMEONE PLEASE HELP ME

Gwen has $20, $10, and $5 bills in her purse worth a total of $220. She has 15 bills in all. There are 3 more $20 bills than the

klio [65]

Answer:

x = 8 ( 20$ bills)

y = 5 ( 10 $ bills)

z = 2 ( 5 $ bills)

Step-by-step explanation:

Let call x, y, and z the number of bill of 20, 10, and 5 $ respectively

then according to problem statement, we can write

20*x + 10*y + 5*z = 220 (1)

We also know the total number of bills (15), then

x + y + z = 15 (2)

And that quantity of 20 $ bill is equal to

x = 3 + y (3)

Now we got a three equation system we have to solve for x, y, and z for which we can use any valid procedure.

As x = 3 + y by substitution in equation (2) and (1)

( 3 + y ) + y + z = 15 ⇒ 3 + 2*y + z = 15 ⇒ 2*y + z = 12

20* ( 3 + y ) + 10*y + 5*z = 220 ⇒ 60 + 20*y + 10*y + 5*z = 220

30*y + 5*z = 160 (a)

Now we have only 2 equations

2*y + z = 12 ⇒ z = 12 - 2*y

30*y + 5*z = 160 30*y + 5* ( 12 - 2*y) = 160

30*y + 60 - 10*y = 160

20*y = 100

y = 100/20 y = 5 Then by substitution in (a)

30*y + 5*z = 160

30*5 + 5*z = 160

150 + 5*z = 160 ⇒ 5*z = 10 z = 10/5 z = 2

And x

x + y + z = 15

x + 5 + 2 = 15

x = 8

4 0

3 years ago

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PLS HELP!!! Angle 3 and Angle 8 are congruent<br> True or false

hammer [34]

Answer:

false

Step-by-step explanation:

4 0

3 years ago

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Techside Real Estate, Inc. is a research firm that tracks the cost of apartment rentals in Southwest Virginia. In mid-2002, the

maks197457 [2]

Answer:

1) we will fail to reject the null hypothesis and conclude that the population mean apartment rental rate does not exceed the level reported in 2002

2) P - value = 0.116435

Step-by-step explanation:

We are given;

Population mean; μ = $895

Sample mean; x' = $915

Population standard deviation; σ = $225

Sample standard deviation; s = $227.50

Sample size; n = 180

Let's state the hypothesis;

Null hypothesis;H0: μ ≤ $895

Alternative hypothesis;Ha: μ > $895

Now, the z-score formula is;

z = (x' - μ)/(σ/√n)

Thus, we are making use of the population standard deviation

z = (915 - 895)/(225/√180)

z = 20/16.7705

z = 1.193

From online p-value from z-score calculator attached, with α = 0.10, one tail, we have;

The P-Value is 0.116435

This is more than the significance level of 0.1, thus we will fail to reject the null hypothesis and conclude that the population mean apartment rental rate does not exceed the level reported in 2002

3 0

3 years ago

List three different combinations of coins, each with a value of 30% of a dollar

ipn [44]

Answer:

Step-by-step explanation:

30% of a dollar...

0.30(1) = 0.30.....so 30% of a dollar is 30 cents

1 quarter and 1 nickel = 0.30

3 dimes = 0.30

2 dimes and 2 nickels = 0.30

6 nickels = 0.30

3 nickels, 1 dime, 5 pennies = 0.30

10 pennies, 2 nickels, a dime = 0.30

30 pennies = 0.30

take ur pick :)

5 0

3 years ago

Pls help I’ll give extra pints

Sonja [21]

Answer:

pls help with what brainlics

4 0

3 years ago

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