(9+w)w=252 or w(w+9)=252.
The quadratic equation applies: w²+9w-252=0=(w+21)(w-12), so w=12, because a negative zero is meaningless.
So the dimensions are width=12 in and length=21 in.
Answer:
200 ft.
2 jumps
Step-by-step explanation:
The slide is placed at coordinates (-2,0) and the fountain is placed at coordinates (-2,-2).
(A) Therefore, using the distance between two known points formula, the distance from the slide to the fountain is given by
units.
Now, given that each unit on the grid represents 100 ft.
So, the distance from slide to the fountain is (100 × 2) = 200 ft. (Answer)
(B) Now, if each jump = 100 ft, then the slide is 2 jumps apart from the fountain. (Answer)
We know the distance between two known points on the coordinate plane (
) and (
) is given by the following formula
Distance = 
It takes 107.692 minutes approximately to fill the pond
<em><u>Solution:</u></em>
Given that inlet pipe can fill an artificial pond in 70 min
So the inlet pipe can fill
of the pond in 1 min
An outlet pipe can empty the same pond in 200 min
So the outlet pipe can empty
of pond in 1 min
Here negative sign denotes "empties the pond"
To find: With both pipe open, time taken to fill the pond
Let "x" be the time taken by pipes to fill the pond
With both pipes are left on, so together their rate is:

On solving,

Thus it takes 107.692 minutes approximately to fill the pond
Answer:
11 1/2 teaspoons
Step-by-step explanation:
1 2/4 basil= 1.5 tsp If you multiply this by two to double the recipe you will have 3 teaspoons of basil.
1/4*2= 2/4 pepper
4*2=8 parsley
After you double everything you need to add them together:
3+2/4+8
Which brings you to the final answer of 11 2/4 teaspoons or if you simplify it.... 11 1/2 teaspoons
Answer:
Option A is correct (-5/4)
Step-by-step explanation:
-6 ÷ 24/5
= -6 × 5/24
= -5/4