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egoroff_w [7]
3 years ago
7

Estimate the weight of water in pounds in a fish tank with width 14 ft, length 32 ft, and height 24 ft. The density of water is

about 8.33 pounds per gallon. One gallon of water is approximately 0.134 cubic feet. Round to the nearest tenth.
Mathematics
1 answer:
In-s [12.5K]3 years ago
7 0
Find the volume of the tank by using the equation V = l x w x h

Volume =  14 x 32 x 24 = 10,752 cubic feet

now calculate the number of gallons by dividing total cubic feet by 0.134:

10,752 / 0.134 = 80,238.81 gallons

now multiply the number of gallons by the weight per gallon:

80,238.81 x 8.33 = 668,389.287 pounds

rounded to nearest tenth = 668,389.3 pounds total
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HELP!!!!
ss7ja [257]
<h3>3 Answers: Choice D, Choice E, Choice F</h3>

============================================================

Explanation:

The inequality 6x - 10y ≥ 9 solves to y ≤ (3/5)x - 9/10 when you isolate y.

Graph the line y = (3/5)x - 9/10 and make this a solid line. The boundary line is solid due to the "or equal to" as part of the inequality sign. We shade below the boundary line because of the "less than" after we isolated for y.

Now graph all of the points given as I've done so in the diagram below. The points in the blue shaded region, or on the boundary line, are part of the solution set. Those points are D, E and F.

We can verify this algebraically. For instance, if we weren't sure point E was  a solution or not, we would plug the coordinates into the inequality to get...

6x - 10y ≥ 9

6(5) - 10(2) ≥ 9 .... plug in (x,y) = (5,2)

30 - 20 ≥ 9

10 ≥ 9 ... this is a true statement

Since we end up with a true statement, this verifies point E is one of the solutions. I'll let you check points D and F.

-----------

I'll show an example of something that doesn't work. Let's pick on point A.

We'll plug in (x,y) = (-1,1)

6x - 10y ≥ 9

6(-1) - 10(1) ≥ 9

-6 - 10 ≥ 9

-16 ≥ 9

The last inequality is false because -16 is smaller than 9. So this shows point A is not a solution. Choices B and C are non-solutions for similar reasons.

3 0
3 years ago
PLS HELP MEEEI NEED ANSWERS ASAP ASAP
Brums [2.3K]

Answer:

Associative.

Step-by-step explanation:

In addition and multiplication, it does not matter which two numbers you put together first. On the left aide 6 is associated with 3. On the right side 3 is grouped with 7.  It doesn't matter where 3 goes. You still get the same answer.

(6 + 3) + 7 = 6 + (3 + 7)

   9    +  7   =  6  + 10

        16  =  16

6 0
3 years ago
5. Kalen is trying to find the average of three measurements. The measurements are 13.8, 15.64, and 22.51. He adds the
Marrrta [24]

Answer:

if rounding by tenths 17.3 i’d rounding by hundredths 17.31 and thousandths 17.316

Step-by-step explanation:

most teachers say but off is thousandths be careful look what it’s asking for exactly

7 0
3 years ago
What is the value of x in equation 0.2(x+1)+ 0.5x = - 0.3(x-4)
Greeley [361]

Answer: x=1

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Given an equilateral triangle that has an area of 1959 cm2. What is the length of its sides?
Nina [5.8K]
Equilateral
equi means equal
lateral means sides

all sides are equal
triangle has 3 sides

perimiter=side1+side2+side3
side1=side2=side3


area=1/2 times base times height
base=side
draw a line down the middle of te tiangle so you get 2 right triangles side by side
1/2base is one leg
base is hypotonuse
height is unknown
equilateral means that it is a 30-60-90 triangle with  hypotonuse equal to 2x, height=x√3, bottom is x
1/2 times base times height=1959
1/2 times x times x√3=1959
multiply both sides by 2
(x^2)√3=3918
divide both sides by √3
x^2=3918/√3
square root both sides
x=47.5611
side=hypotonuse=2x
2x=2*47.5611
side=95.12222


legnth of each side is 2\sqrt{ \frac{3918}{ \sqrt{3} } }cm or about 95.12222 cm
7 0
3 years ago
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