the inequality in the number-line is:
x ≤ -1.5
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Which inequality is represented?</h3>
We know that we have a closed circle at -1.5, this means that the value is a solution of the inequality.
Then we have a line that goes to the left of that circle, so the inequality will have solutions that are less than or equal to -1.5
Then the inequality is:
x ≤ -1.5
If you want to learn more about inequalities:
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Answer:
![a)220.5\ ft^3\\\\b)\$2,425.5](https://tex.z-dn.net/?f=a%29220.5%5C%20ft%5E3%5C%5C%5C%5Cb%29%5C%242%2C425.5)
Step-by-step explanation:
a) The volume of a rectangular prism can be calculated by multiplying its dimensions.
In this case, you know the rectangular solid has 21 feet long, 14 feet wide, and 9 inches deep.
Since
, then its depth in feet is:
![depth=\frac{(9\ in)(1\ ft)}{12\ in}=\frac{3}{4}\ ft](https://tex.z-dn.net/?f=depth%3D%5Cfrac%7B%289%5C%20in%29%281%5C%20ft%29%7D%7B12%5C%20in%7D%3D%5Cfrac%7B3%7D%7B4%7D%5C%20ft)
Therefore, its volume is:
![V=(21\ ft)(14\ ft)(\frac{3}{4}\ ft)\\\\V=220.5\ ft^3](https://tex.z-dn.net/?f=V%3D%2821%5C%20ft%29%2814%5C%20ft%29%28%5Cfrac%7B3%7D%7B4%7D%5C%20ft%29%5C%5C%5C%5CV%3D220.5%5C%20ft%5E3)
b) Knowing that each cubic foot of mulch costs $11, you can calculate the total cost of the mulch the contractor needs to buy, multiplying the volume by the $11.
Then, you get:
![Total\ cost=(220.5)(\$11)=\$2,425.5](https://tex.z-dn.net/?f=Total%5C%20cost%3D%28220.5%29%28%5C%2411%29%3D%5C%242%2C425.5)
There are 28 alternative schools in the county.
46 + 10 = 56 (twice the number of alternative schools)
56 / 2 = 28 alternative schools
Answer:
cost of knife = £5.52
Step-by-step explanation:
Assume:
Cost of Knife = a
Cost of Spoon = b
a = 3b ----------------------(1)
12a + 9b = £82.80 -------(2)
Substitute equation (1) in equation (2)
12 * (3b) + 9b = £82.80
36b + 9b = £82.80
45b = £82.80
b = £1.84
Therefore, cost of knife = a = 3 * £1.84 = £5.52