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9514 1404 393
Answer:
5 miles
Step-by-step explanation:
Time/speed/distance problems can be worked a number of ways. Here, we want to know the distance walked. We know the total time and the total distance and the two different speeds. So, we can use a variable to represent the value we want to know: w = distance walked (in miles).
The total time is 9:00 -6:50 = 2:10 = 2 1/6 hours = 13/6 hours.
The total time is the sum of times for the two parts of the trip: walking and riding.
walking time = walking distance/walking speed
= w/3
riding time = riding distance/riding speed
= (20-w)/30
The total time is that given above:
w/3 +(20-w)/30 = 13/6
10w +(20 -w) = 65 . . . . . . . . multiply by 30
9w = 45 . . . . . . . . . . . . subtract 20, collect terms
w = 5 . . . . . . . . . . . divide by 9
The girl walked 5 miles.
What number can you divide both the divisor and denominator by?
i see that 12 and 126 are divisible by 1, 2, 3, and 6
we're going to choose the biggest number we can divide by (which is 6)
12/6=2 / 126/6=21
the answer would be 2/21 because there is no other number (other than 1) that you could divide these both into
To solve each of the problems, I first looked for the equation that had the same slope value and then plugged in the 'x' coordinate to see if it gave me the correct 'y' coordinate.
1.)
D.) y = 5x + 4
14 = 5(2) + 4
14 = 10 + 4
14 = 13
2.)
C.) y = 1/5x - 19
-16 = 1/5 (15) - 19
-16 = (3) - 19
-16 = -16
3.) First, get 'y' by itself by subtracting 4x from both sides and dividing the whole equation by -12. To find perpendicular lines, the slope must be the opposite reciprocal of the first slope (in this case, flip the fraction to get the three on top). Add the opposite sign to the slope as your final step.
4x - 12y = 2
-4x -4x
-12y = -4x + 2
-12y / -12 = -4x / -12+ 2 / -12
y = 1/3x - 1/6
C.) y = -3x + 29
-1 = -3(10) + 29
-1 = (-30) + 29
- 1 = -1
Answer:
Step-by-step explanation:
Adding and subtracting expressions:
a) M + (5x² -2xy) = 6x² +9xy - y²
M = 6x² + 9xy - y² - (5x² - 2xy)
Remove the parenthesis by mulplying each term of 5x² - 2xy by (-1) as (-1) is outside the parenthesis
= 6x² + 9xy - y² - 5x² + 2xy
Combine ( add or subtract) like terms.
= 6x² - 5x² + 9xy + 2xy - y²
= x² + 11xy - y²
Hint: Like terms have same variable with same power.
Here, like terms are (i) 6x² and (-5x²) (ii) 9xy and 2xy
b) (3xy - 4y²) - N = x² - 7xy + 8y²
3xy - 4y² = (x² - 7xy + 8y²) + N
3xy - 4y² - (x² - 7xy + 8y²) = N
3xy - 4y² - x² + 7xy - 8y² = N
3xy + 7xy -4y² - 8y² -x² = N
10xy -12y² - x² = N
Answer: N = 10xy - 12y² -x²
