Answer:
3 hours
Step-by-step explanation:
Answer: B (3 cups)
Step-by-step explanation:
Add 2 cups + 1 cup together, and you get 3 cups. C is incorrect (in this scenario) because it doesn’t describe what measurement it’s in.
Answer:the perimeter of the rectangle =A) (−14w+14v) centimeters
Step-by-step explanation:
Step 1
The perimeter of a Rectangle is given as 2 (l+ w)
If Length = 2v+3w centimeters.
and width =5v-10wcentimeters
Then Perimeter =2 (2v+3w + 5v-10w)
Perimeter=2(7v -7w)
Perimeter= 14v - 14w or can be written as -14w +14v
Step 1: Find the slope:

This gives you
, but we need to find b.
To find b, substitute in one (x,y) pair and it doesn't matter which one. I'll go with (4,-2):
![\begin{aligned}-2&=-\dfrac{3}{2}(4)+b\\[0.5em]-2&=-6+b\\[0.5em]4&=b\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D-2%26%3D-%5Cdfrac%7B3%7D%7B2%7D%284%29%2Bb%5C%5C%5B0.5em%5D-2%26%3D-6%2Bb%5C%5C%5B0.5em%5D4%26%3Db%5Cend%7Baligned%7D)
Now take that b-value and plug in into the slope-intercept form:

It's always a good idea to toss in the other x-value from the other point, to make sure it checks out.
Answer:
34
Step-by-step explanation:
The mean is calculated as
mean = 
let x be the missing frequency, then
Total frequency × midpoint
= (16 × 2) + 7x + (20 × 12) + (10 × 17) = 32 + 7x + 240 + 170 = 442 + 7x
Total frequency = 16 + x + 20 + 10 = 46 + x, thus
= 8.5 ( cross- multiply )
442 + 7x = 8.5(46 + x)
442 + 7x = 391 + 8.5x ( subtract 8.5x from both sides )
442 - 1.5x = 391 ( subtract 442 from both sides )
- 1.5x = - 51 ( divide both sides by - 1.5 )
x = 34
The missing frequency is 34