Answer:
-1/3
Step-by-step explanation:
The product of 10 and a number is 3 less than the number.
Ok, lets call this number x.
10x = x-3 is how to algebraically write this out.
now, lets subtract x from both sides
9x = -3
Divide by 9
x = -1/3
Answer:
the answer is 97 student tickets and 15 adult tickets
Step-by-step explanation:
Answer:
x = variable
3 = coefficient
1 = constant
3x^2-4x+1 = algebraic expression
2 = degree
Step-by-step explanation:
variables are typically the letters in equations (usually x and y)
coefficients are the numbers attached to the variables
constants don't have any variables attached
algebraic expressions are the full expression
degrees are the small numbers in the top right corners on either constants, variables or coefficients
Hope this helps!
Answer:
0.500 hour
Step-by-step explanation:
Givens
<em><u>Distance</u></em>
- Total Distance on the highway = 3hr * 60 miles / hr = 180 miles
- Distance in the city = 20 miles
- Total Distance = 180 + 20 = 200 miles
<em><u>Time</u></em>
- Time on the highway = 3 hours
- Time in the city = x
Formula
d /t = r
Solution
- Average rate = 57.14
- Total Distance / Total Time = average rate
- 200 / (3 + x) = 57.14 Multiply both sides by 3 + x
- 200 = 57.14 * (3 + x) Remove the brackets
- 200 = 57.14*3 + 57.14x Multiply the factors on the right
- 200 = 171.42 + 57.14x Subtract 171.42 from both sides.
- 200 - 171.42 = 171.42 - 171.42 + 57.14x So the subtraction
- 28.58 = 57.14x Divide by 57.14
- 28.57/57.14 = x
- x = 0.500 hour Answer
R = speed in still water
r + c = speed with current
r - c = speed against current
3.5(r + c) = 70
r + c = 20
c = 20 - r
4(r + c) = distance from pier to pier
5(r - c) = distance from pier to pier
4(r + c) = 5(r - c)
4(r + 20 - r) = 5(r - 20 + r)
80 = 10r - 100
180 = 10r
18 = r
The speed in still water is 18 km/hour
