Answer: If the wall is 300 meters long, the dimensions of the fence with the maximum area will be 300 × 150 = 45000 m²
Step-by-step explanation:
try combinations in a chart
190 × (600-190)/2 = 38950 = 190 × 205 increasing area
200 × (600-200)/2 = 40000 = 200 × 200
220 × (600-220)/2 = 41800 == 220 × 190
240 × (600-240)/2 = 43200 == 240 × 180
260 × (600-260)/2 = 44200 == 260 × 170
280 × (600-280)/2 = 44800 . == 280 × 160
<u>300 × (600-300)/2 = 45000 == 300 × 150</u> Maximum Area
310 × (600-310)/2 = 44950 . == 310 × 145 decreasing area
320 × (600-320)/2 = 44800 . == 320 × 140
6 hours
Working;
If 12 cookies take 30 minutes,
Then one cookie takes
![\frac{30}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B30%7D%7B12%7D%20)
144 cookies would take <span>
![\frac{30}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B30%7D%7B12%7D%20)
* 144
=360 minutes or 6 hours</span>
Answer: Last option
(42÷2) +5
Step-by-step explanation:
We know that Mr. Roberts drove 42 miles on Monday.
On Tuesday Mr. Roberts drove half of what he drove on Monday plus 5 miles.
If we want to know how many miles Mr. Roberts drove on Tuesday then we should divide 42÷2 to find half of 42.
![\frac{42}{2} = 21](https://tex.z-dn.net/?f=%5Cfrac%7B42%7D%7B2%7D%20%3D%2021)
Then we know that in addition to the 21 miles he drove 5 more miles. Then we add 21 +5 = 26 miles.
So the expression that gives us the number of miles that Mr. Roberts drove on Tuesday is:
(42÷2) +5
<span>The <u>correct answers</u> are:
x=-3 and x=-8.
Explanation<span>:
We can first write this in standard form, ax</span></span>²<span><span>+bx+c=0. To do this, we will add 11x to both sides:
x</span></span>²<span><span>+24+11x=-11x+11x
x</span></span>²<span><span>+11x+24=0.
Now we can factor this. Look for factors of c, 24, that sum to b, 11. Factors of 24 are:
1 and 24 (sum 25)
2 and 12 (sum 14)
3 and 8 (sum 11)
4 and 6 (sum 10).
The factors we need are 3 and 8, since they sum to 11. This gives us factored form:
(x+3)(x+8)=0.
Using the zero product property, we know that in order to have a product of 0, one or both of the factors must be 0. This means we have:
x+3=0 or x+8=0.
Solving the first equation:
x+3-3=0-3
x=-3.
Solving the second equation:
x+8-8=0-8
x=-8.</span></span>