Leeza can put 33 or less gallons of water in aquarium.
Step-by-step explanation:
Given,
Capacity of aquarium = 55 gallons of water
Water already in aquarium = 22 gallons
Let,
x be the number of gallons that can be added in aquarium.
As aquarium can hold 55 gallons of water, therefore, we cannot add more than 55 gallons of water.
![x+22\leq 55](https://tex.z-dn.net/?f=x%2B22%5Cleq%2055)
Subtracting 22 from both sides
![x+22-22\leq 55-22\\x\leq 33](https://tex.z-dn.net/?f=x%2B22-22%5Cleq%2055-22%5C%5Cx%5Cleq%2033)
Leeza can put 33 or less gallons of water in aquarium.
Keywords: inequality, subtraction
Learn more about inequalities at:
#LearnwithBrainly
Answer:
1/2
Step-by-step explanation:
There are 4 nickels, 2 dimes, and 6 quarters. That means a total of 12 coins, half of which are quarters.
(realistically, if she wanted to, she could probably get a quarter every time if she felt for the size)
Answer:
make sure that sentence that comes before the colon is a complete, sentence
Step-by-step explanation:
One way to test whether you have used a colon correctly is to delete the information after the colon.
The lateral area would be 298.7 cm².
The lateral area is the area of all of the lateral faces of the pyramid. There are 8 triangles making up the lateral faces. Each has a base of 6.6. The formula for the area of a triangle is
A=1/2bh,
so we still need the height of the triangle.
The height of each lateral triangle is the slant height of the pyramid. The slant height of the pyramid forms a right triangle with the height of the pyramid and the "radius" as it were of the pyramid. Thus we use the Pythagorean theorem:
8²+8²=h²
64+64=h²
128=h²
√128=√(h²)
8√2 = h
Substituting this into our area formula we have:
A=1/2(6.6)(8√2)
We will go ahead and multiply this by 8, since there are 8 lateral faces:
LA=8(1/2)(6.6)(8√2)
LA = 298.7
Answer:
x = 4 or x = (-3)/2
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 - 5 x - 12 = 0
x = (5 ± sqrt((-5)^2 - 4×2 (-12)))/(2×2) = (5 ± sqrt(25 + 96))/4 = (5 ± sqrt(121))/4:
x = (5 + sqrt(121))/4 or x = (5 - sqrt(121))/4
sqrt(121) = sqrt(11^2) = 11:
x = (5 + 11)/4 or x = (5 - 11)/4
(5 + 11)/4 = 16/4 = 4:
x = 4 or x = (5 - 11)/4
(5 - 11)/4 = -6/4 = -3/2:
Answer: x = 4 or x = (-3)/2