Answer:
3 miles per hour
Step-by-step explanation:
We need to subtract the two numbers to find the difference in speeds
4/5 - 3/4
We need to get a common denominator of 20
4/5 *4/4 - 3/4 *5/5
16/20 - 15/20
1/20
The car going 4/5 miles per minute is going 1/20 miles per minute faster than the car going 3/4 miles per minute.
The question asks for miles per hour, not miles per minute. We know that there are 60 minutes per hour.
1/20 miles per minute * 60 minutes / hour
60/20 miles/hour
3 miles/ hour
The car going 4/5 miles per minute is going 3 miles per hour faster than the car going 3/4 miles per minute.
Since we have that the slope is m = 7/9 and the y-intercept is b = 12, we can write the equation of the line in slope-intercept form:

to find three coordinate points, we can use arbitrary values on x to get the y-coordinate. To make things easier, let's use x = 9, 18 and 27:

therefore, the line with slope m = 7/9 and y-intercept 12 passes through the three points (9,19), (18,26) and (27,33)
Answer:
Gerri spends 1/7 (A).
Step-by-step explanation:
If Gerri spends 1/21 of her money on pencils and 2/21 of her money on paper, adding these two fractions together will give us the total fraction of her money that she spent. Since 1/21 and 2/21 have the same denominator, we can add the numerators to get 3/21. However, fractions must always be in simplest form, meaning if the numerator (top number) and denominator (bottom number) can both be divided evenly by the same factor, then the fraction can be simplied to lower numbers. In this case the number 3 and the number 21 can both be divided evenly by 3: (3÷3)/21÷3) = 1/7.
If the part inside the square root is negative, there are imaginary roots. Otherwise they are real.