Step-by-step explanation:
x = downstream speed in mph
4 hours × (x-10) + 3 hours × x = 58 miles
4x - 40 + 3x = 58
7x = 98
x = 14 mph downstream speed
and as extra :
therefore his upstream speed was 14 - 10 = 4 mph
Answer:
slope: -2, y- intercept: 7
Step-by-step explanation:
put in the form y = mx + b, where m = slope and b = y-intercept
2x + y = 7
subtract 2x from both sides
y = -2x + 7
m = -2, b = 7
The grocer prepared total 110 samples.
<em><u>Explanation</u></em>
Suppose, the total number of samples the grocer prepared is ![x](https://tex.z-dn.net/?f=x)
By lunchtime, the grocer has given out 5 fewer than half the total number of samples. So, the number of samples given out by lunchtime ![= \frac{1}{2}x -5](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B1%7D%7B2%7Dx%20-5)
Now, it is given that she gives out 50 samples before lunch. That means...
![\frac{1}{2}x -5 =50\\ \\ \frac{1}{2}x=5+50\\ \\ \frac{1}{2}x=55\\ \\ x=55*2=110](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dx%20-5%20%3D50%5C%5C%20%5C%5C%20%5Cfrac%7B1%7D%7B2%7Dx%3D5%2B50%5C%5C%20%5C%5C%20%5Cfrac%7B1%7D%7B2%7Dx%3D55%5C%5C%20%5C%5C%20x%3D55%2A2%3D110)
So, the total number of samples the grocer prepared is 110.
Answer:
32inches
Step-by-step explanation:
Initial width = 3inches
Initial length = 5inches
Final width = 2× 3inches = 6inches
Final length = 2× 5inches = 10inches
Perimeter = 2×( finallength + finalwidth) = 2×(10inches + 6inches) = 2×(16inches) = 32inches