Answer:
The dimensions of the yard are W=20ft and L=40ft.
Step-by-step explanation:
Let be:
W: width of the yard.
L:length.
Now, we can write the equation of that relates length and width:
(Equation #1)
The area of the yard can be expressed as (using equation #1 into #2):
(Equation #2)
Since the Area of the yard is 
, then equation #2 turns into:
Now, we rearrange this equation:
We can divide the equation by 5 :
We need to find the solution for this quadratic. Let's find the factors of 160 that multiplied yields -160 and added yields -12. Let's choose -20 and 8, since 
and 
. The equation factorised looks like this:
Therefore the possible solutions are W=20 and W=-8. We discard W=-8 since width must be a positive number. To find the length, we substitute the value of W in equation #1:
Therefore, the dimensions of the yard are W=20ft and L=40ft.
3x-5+x+1=180
4x-4=180
4x=176
X=44
Plug in 44 for X
3(44)-5
132-5
Answer
127
Answer:
A)30705
Step-by-step explanation:
3* 10^4 + 7 x 10^2 + 5 x 10^0
Evaluate the exponent
3⋅10^4+7⋅10^2+5⋅10^0
3⋅10000+7⋅10^2+5⋅10^0
Multiply the numbers
3⋅10000+7⋅10^2+5⋅10^0
30000+7⋅10^2+5⋅10^0
Evaluate the exponent
30000+7⋅10^2+5⋅10^0
30000+7⋅100+5⋅10^0
Multiply the numbers
30000+7⋅100+5⋅10^0
30000+700+5⋅10^0
Evaluate the exponent
30000+700+5⋅10^0
30000+700+5⋅1
Multiply the numbers
30000+700+5⋅1
30000+700+5
Add the numbers
30000+700+5
30705
Answer:
6/9
Step-by-step explanation:
2/6 x 2 = 0.6... and the 6 keeps repeating. There is one repeating number, so your answer is 6/9.
<span><span><span>−t</span>4</span>=<span><span>(<span>−3</span>)</span><span>(3.141593)</span></span></span>Step 1: Simplify both sides of the equation.<span><span><span><span>−1</span>4</span>t</span>=<span>−9.424778</span></span>Step 2: Multiply both sides by 4/(-1).<span><span><span>(<span>4<span>−1</span></span>)</span>*<span>(<span><span><span>−1</span>4</span>t</span>)</span></span>=<span><span>(<span>4<span>−1</span></span>)</span>*<span>(<span>−9.424778</span>)</span></span></span><span>t=37.699112</span>
