Identify the slope (m) and y-intercept (b): 3x + 2y = -4

P, Q, and R are prime numbers such that 3P + 7Q + 15R = 102. What is Q?

77julia77 [94]

Q is 3

Step-by-step explanation:

The prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, ......

They have two factors only 1 and itself
All the them are odd numbers except 2 is an even number
1 is not a prime number because has only one factor

∵ P, Q and R are three prime numbers

∵ 3P + 7Q + 15R = 102

- Factorize 102 into prime numbers

∵ 102 ÷ 2 = 51

∵ 51 ÷ 3 = 17

∴ The prime factorization of 102 is 2 × 3 × 17

∵ 2 , 3 , 17 are prime numbers

- Put them in the equation above to find which one is P and

which is Q and which is R

∵ R has the greatest coefficient, then put R = the smallest prime 2

∵ P has the smallest coefficient, then put P = the greatest prime 17

∴ Q = The last prime 3

- Let us check the value of the left hand side

∵ Left hand side = 3(17) + 7(3) + 15(2) = 51 + 21 + 30 = 102

∵ Right hand side = 102

∴ The prime numbers are P = 17 , Q = 3 , R = 2

Q is 3

Learn more:

You can learn more about the prime numbers in brainly.com/question/4550858

#LearnwithBrainly

8 0

3 years ago

A city water company charges homeowners based on how much water they use in thousands of gallons. The company progressively char

Dima020 [189]

Answer:

1700: $50
2000: $60
7000: $90

Step-by-step explanation:

You can read the answers from the graph. Find the usage on the horizontal scale, and look at the vertical scale to find the corresponding charge.

__

<h3>1700 gallons</h3>

The value 1700 is between 1000 and 2000, so will be between 1 and 2 on the horizontal scale. The graph is flat in that region. The charge is $50.

__

<h3>2000 gallons</h3>

The graph has a jump at 2 on the horizontal scale. The solid dot tells you that the charge is $60.

__

<h3>7000 gallons</h3>

At 7 on the horizontal scale, the graph is increasing from 80 to 100. At 7000 gallons, the line passes through the grid intersection indicating the charge is $90.

4 0

3 years ago

Explain to a Friend Taylor wants to buy a bicycle

dlinn [17]

Answer: No

Step-by-step explanation:

First add the 48.75 and 18.30 together.

second multiply 5.50 by 9

she would only earn 49.50 so she won’t be able to buy the bike and helmet

6 0

3 years ago

You want to be able to withdraw $25,000 each year for 20 years. Your account earns 5% interest.

Alinara [238K]

Answer:

a. $311,555.26

b. $500,000

c. $188,444.74

Step-by-step explanation:

The computation is shown below:

a. Here we have to determine the present value

Given that

PMT = $25,000

NPER = 20

RATE = 5%

FV = $0

The formula is shown below:

= -PV(RATE;NPER;PMT;FV;TYPE)

after applying the above formula, the amount that need in the beginning is $311,555.26

b. The total money should be

= $25,000 × 20 years

= $500,000

c. The amount of interest is

= $500,000 - $311,555.26

= $188,444.74

6 0

3 years ago

1/7x-5/7y-5/11x+10/17y

vitfil [10]

Is this supposed to be simplified orrr?

4 0

3 years ago