Chapter 9 geometry help me! (refer to the picture)

Find the greatest common divisor (GCD) of 34255 and 203515.

seropon [69]

34255 = 5 * 13 * 17 * 31
203515 = 5 * 13 * 31 * 101

So GCD(34255, 203515) = 5 * 13 * 31 = 2015

4 0

3 years ago

Suppose that in a certain county 37% of voters are registered as Democrats, 29% as Republicans, 7% as Green party, and the rest

Fantom [35]

Answer:

$0.66$

Step-by-step explanation:

GIVEN: Suppose that in a certain county $37\%$ of voters are registered as Democrats, $29\%$ as Republicans, $7\%$ as Green party, and the rest are considered Independents. You conduct a poll by calling registered voters in the county at random.

TO FIND: Probability that the first call will be to either a Democrat or a Republican.

SOLUTION:

Lets total population of county be $100x$ .

voters registered as Democrats $=37\%=\frac{37}{100}\times100x$

$=37x$

voters registered as Republicans $=29\%=\frac{29}{100}\times100x$

$=29x$

voters registered as Green party $=7\%=\frac{7}{100}\times100x$

$=7x$

Probability that first call will be to Democrats $P(A)=\frac{\text{total democrats}}{\text{total voters}}$

$=\frac{37x}{100x}=0.37$

Probability that first call will be to Republican $P(B)=\frac{\text{total republicans}}{\text{total voters}}$

$=\frac{29x}{100x}=0.29$

probability that the first call will be to either a Democrat or a Republican

$=P(A)+P(B)$

$=0.37+0.29$

$=0.66$

Hence the probability that the first call will be to either a Democrat or a Republican is $0.66$

6 0

4 years ago

Multiply the polynomials (x + 4)(x + 4)

s2008m [1.1K]

Answer:

x^2 + 8x + 16

Step-by-step explanation:

(x + 4) (x+ 4) multiply x by x and x by 4.

x^2 + 4x

Then multiply 4 by x and 4 by 4.

4x + 16

Then combine like terms.

x^2 + 4x + 4x +16

x^2 + 8x + 16

6 0

3 years ago

charles deposited $12,000 in the bank. He withdrew $5,000 from his account after one year. If he recives a total amount of $9,34

Schach [20]

Answer:

The rate of simple interest is 9%

Step-by-step explanation:

* Lets talk about the simple interest

- The simple Interest Equation (Principal + Interest) is:

A = P(1 + rt) , Where

# A = Total amount (principal + interest)

# P = Principal amount

# I = Interest amount

# r = Rate of Interest per year in decimal r = R/100

# R = Rate of Interest per year as a percent R = r * 100

# t = Time period involved in months or years

- The rule of the simple interest is I = Prt

* lets solve the problem

- Charles deposited $12,000

∴ P = $12,000

- He withdrew $5,000 from his account after one year

- He receives a total amount of $9,340 after 3 years

∴ A = $9340 and t = 3

- Lets find the inetrest after 1 year

∵ I = Prt

∵ P = 12000

∵ t = 1

∴ I = 12000(r)(1) = 12000r

- Lets subtract the money that he withdrew

∵ He withdrew $5000

∵ He deposit at first 12000

∴ He has after the withdrew 12000 - 5000 = 7000

- The new P for the next 2 years is 7000

- This amount will take the same rate r for another two years

- The total money is $9340

∵ I = A - P

∵ A = 9340

∵ P = 7000

∴ The amount of interest = 9340 - 7000 = 2340

- The amount of interest after 3 years is 2340

- Lets find the amount of interest in the two years

∴ I = 7000(r × 2) = 14000r

- The amount of interest after the 3 years is the sum of the interest in

the 1st year and the other 2 years

∴ 2340 = 14000r + 12000r

∴ 2340 = 26000r ⇒ divide both sides bu 2340

∴ r = 2340 ÷ 26000 = 0.09

∵ The rate R in percentage = r × 100

∴ R = 0.09 × 100 = 9%

∴ The rate of simple interest is 9%

8 0

3 years ago

TIME LIMITED! PLEASE HELP!

Vlad1618 [11]

Answer:

8.0x

Step-by-step explanation:

5 0

4 years ago

Chapter 9 geometry help me! (refer to the picture)​

Chapter 9 geometry help me! (refer to the picture)