Answer:
The area covered by the planters is 113.6 square inches.
Step-by-step explanation:
Assuming that the dimmensions of the greenhouse are 4 1/4 by 1 2/3 inches. We first need to convert them from mixed fractions to normal fractions, we do that by summing the integer part to the fraction one. We have:
length = 4 + 1/4 = 16/4 + 1/4 = 17/4 inches
width = 1 + 2/3 = 3/3 + 2/3 = 5/3 inches
The area of the greenhouse is given by:
area = length*width
area = (17/4)*(5/3) = 85/12 = 7.1 square inches
Since there is an array of 4x4 there is a total of 16 greenhouses and it's total area is 16*7.1 = 113.6 square inches
Common Factors of 32 and 36
factors of 32 = 1, 2, 4, 8, 16 and 32
factors of 36 = 1, 2, 3, 4, 6, 9, 18, 36
<span>So the common </span>factors of 32 and 36 are 1, 2 and 4.
The greatest common factor is 4
<span>
<span>1st</span></span><span> formula 2n + 3m = 280
</span><span><span>
</span><span>2nd</span></span><span> formula 2n + 5m = 320
</span><span><span>
</span><span>rearrange 1st</span> formula to equal n:</span>
<span><span>2n = -3m + 280
</span>
</span><span>n = -3/2
m + 140
</span><span><span>
</span><span>rearrange 2nd</span> formula to equal n:</span>
<span><span>2n = -5m + 320
</span>
</span><span>n = -5/2m + 160
</span><span><span>
so now you have
</span>-3/2m + 140 = -5/2m + 160 </span>
<span><span>Rearrange to become:
</span>
</span><span><span>-3/2m + 5/2m = 160 - 140
</span>
</span><span>m = 20
</span><span>
</span>
<span>Now place 20 into the very 1st</span><span><span> equation in place
of the letter m
</span>
</span><span><span>2n + 3(20) = 280
</span>
</span><span><span>2n + 60 = 280
</span>
</span><span><span>2n = 220
</span>
</span><span>n = 110
</span><span><span>
</span>so it costs $110 per night, $20 per meal</span>
Answer:
Yes
Step-by-step explanation:
To see if (2,0) works as a solution to the systems of equations, we plug in the values of x and y and simplify. If the results are equal, then (2,0) is a solution.
3x + y = 6:
- (2,0) is a solution to this equation.
3x - y = 6:
-
- (2,0) is a solution to this equation.
Therefore, the answer is yes, it does work as a solution.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
the answer is d.
Step-by-step explanation:
Just plug each value in the <em>x </em>column into the dependent variable equation and see if the dependent variable value is true.
