Answer:the repair shop is 5km from her house.
Step-by-step explanation:
Let x represent the distance of the repair shop from her house.
Let y represent Emily's speed when riding.
Distance = speed × time
It took Emily 25 min to ride her bike to the repair shop. Converting 25 min to hours, it becomes 25/60 = 5/12 hours.
Distance covered,
x = y × 5/12 = 5y/12
It took her 1h 15 min to walk back home. Converting to hours, it becomes 1 + 15/60 = 1 1/4 = 5/4
If she can ride her bike 8km/h faster than she can walk, it means that her speed while walking would be y 8 8
Therefore,
Distance covered,
x= 5/4(y - 8) = (5y - 40)/4
Since the distance remains the same, then
5y/12 =(5y - 40)/4
Crossmultiplying, it becomes
5y × 4 = 12(5y - 40)
20y = 60y - 480
60y - 20y = 480
40y = 480
y = 480/40 = 12
x = 5y/12 = 5 × 12/12 = 5 km
Answer:
2
Step-by-step explanation:
The equation that expresses the relationship between the number of boxes, b and the number or cans, c would be c = 48b. This is because the number or cans shipped would be the dependent variable to the problem as it is dependent on the number or boxes that ship along with. So if one ships 2 boxes then the number of cans that would be shipped would need to match the final output of cans which is 96, and using the equation, c = 49b it does.
c = 48b
96 = 48(2)
96 = 96.
Technically the first option will also be correct but usually the variable in an algebraic expression comes after the coefficient.
Answer:
y = 2/7x + 7
Step-by-step explanation:
We start off by putting the original equation into slope-intercept form. Subtract 7x from both sides, then divide both sides by -2. Your new equation should be y = -7/2x - 8. It's important to know that when two lines are perpendicular, their slopes (m) are opposite reciprocals of each other. So -7/2 becomes 2/7. The first part of your final equation is y = 2/7x + b.
Next, we need to find the y intercept (b). You need to plug the x and y values from the given coordinate point (-7,5) into your final equation. You should end up with: 5 = 2/7(-7) + b. Then, solve for b.
5 = -14/7 + b
5 = -2 + b
7 = b
Finally, plug the b value into your final equation and you will have your answer.
