Answer:
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
The formula of a slope:
We have the points (5, -5) and (-4, -2).
Substiute:
Put the value of the slope and the coordinates of the point (5, -5) to the equation of a line:
<em>add 5/3 to both sides</em>
Finally we have the equation of a line in the slope-intercept form:
Convert to the standard form <em>(Ax + By = C)</em>:
<em>multiply both sides by 3</em>
<em>add x to both sides</em>
Answer:
The clock face is divided into sixty equal parts, each minute. The minute hand is located on the 20 minute mark at 6:20, the hour hand located between the 30 minute mark and the 35 minute mark. When the minute hand goes all sixty minutes, the hour hand only moves five, so to figure out the location of the hour hand, we look at how much the hour has progressed, in this case 20 minutes, or one third of the hour. So the minute hand has moved one third of the way through the hour, so has the hour hand moved one third of the way through the five minutes, or, five thirds of a minute, which is one and two thirds minute, one minute forty seconds. That puts the hour hand at thirty minutes plus one minute and forty seconds—at 31min 40sec—which is 11min 40sec farther than the minute hand.
Step-by-step explanation:
P
E
M
D
A
S
okay since the first step is parenthesis, the next step would be exponents but you have none so you skip to multiplication, then you divide
divide is your answer
Answer:
Step-by-step explanation:
Let the 3-digit number is <u>abc</u> = 100a + 10b + c.
<u>We have:</u>
- 100a + 10b + c - 100c - 10b - a = 297
- b = a - 6
- a = 2c - 2
<u>Simplify the first equation:</u>
- 99a - 99c = 297
- a - c = 3
- a = c + 3
<u>Solve for c by substitution:</u>
- 2c - 2 = c + 3
- 2c - c = 3 + 2
- c = 5
<u>Find a:</u>
<u>Find b:</u>
<u>The number is:</u>
Answer:
314 million
Step-by-step explanation:
Given that :
Number of motor vehicle in the U.S for every 1000 people = 828
If the number of motor vehicle in the United States = 260 million
Then,
Let x = number of people Given number of vehicles = 260,000,000
1000 people = 828 vehicles
x = 260,000,000
828x = (260,000,000 * 1000)
828x = 260,000,000,000
x = 314009661. 835
x = 314 million (approx)
