Please help me it due today at 7:10pm please help me

Tim is thinking of two numbers. The quotient of the two numbers is 9. The difference of the two numbers is 48. The sum of the tw

Paladinen [302]

Let the two numbers be x and y, then
x - y = 48 . . . (1)
x + y = 60 . . . (2)

(1) - (2) => -2y = -12 => y = -12/-2 = 6
From (1), x - 6 = 48 => x = 48 + 6 = 54

Therefore, the two numbers are 54 and 6.

8 0

3 years ago

Find the equation of the line that is perpendicular to y = 2x + 8

Natasha2012 [34]

Answer:

$\boxed {\boxed {\sf B. \ y= - \frac{1}{2} x-4}}$

Step-by-step explanation:

We are given the line y=2x+8. It is in slope-intercept form or y= mx+b, where m is the slope and b is the y-intercept.

The slope of the line is 2.

We want to find the equation that is perpendicular. Perpendicular lines have negative reciprocal slopes.

1. Negate

Negate the slope, or switch the sign
(+) 2 --> -2

2. Reciprocal

Flip the numerator and denominator of the slope.

-2/1 --> -1/2

The perpendicular slope is -1/2, so the correct equation must be B.

6 0

3 years ago

Henry can write 5 pages of his novel in 3 hours. At this rate, how many pages can Henry write in 8 hours

Ludmilka [50]

Answer:

13 novels

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The data given below contain the state cigarette taxâ€‹ (in $) for all 20 regions of a country.

g100num [7]

Answer:

(a) $\bar x= 1.583$ -- Population Mean

(b) $s = 1.032$ --- Population standard deviation

(c) See Explanation

Step-by-step explanation:

Given:

Cigarette tax for 20 regions

Solving (a): The population mean

This is calculated as:

$\bar x = \frac{\sum x}{n}$

$\sum x = 1.36 + 1.70 + 2.50 + 0.45 + 1.18 + 0.64 + 3.46 + 0.57 + 2.00 + 0.80 + 1.60 +0.98 + 0.36 + 2.24 + 4.35 + 0.62 + 2.70 + 1.78 + 1.53 + 0.84$

$\sum x = 31.66$

$n = 20$

So, we have:

$\bar x= \frac{31.66}{20}$

$\bar x= 1.583$

Solving (b): The population standard deviation

This is calculated as:

$s = \sqrt{\frac{\sum( x - \bar x)^2}{n}$

$\sum (x -\bar x)^2 = (1.36 - 1.583)^2 + (1.70 - 1.583)^2+ (2.50 - 1.583)^2+ (0.45 - 1.583)^2+ (1.18 - 1.583)^2+ (0.64 - 1.583)^2+ (3.46 - 1.583)^2+ (0.57 - 1.583)^2+ (2.00 - 1.583)^2+ (0.80 - 1.583)^2+ (1.60 - 1.583)^2+(0.98 - 1.583)^2+ (0.36 - 1.583)^2+ (2.24 - 1.583)^2+ (4.35 - 1.583)^2+ (0.62 - 1.583)^2+ (2.70 - 1.583)^2+ (1.78 - 1.583)^2+ (1.53 - 1.583)^2+ (0.84- 1.583)^2$