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2 years ago

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Tom has a water tank that holds 5 gallons of water.Tom uses water from a full tank to fill 6 bottles that each hold 16 ounces an

d a pitcher that holds 1/2 gallon.How many ounces of water are left in the water tank?

1 answer:

Rainbow [258]2 years ago

8 0

1/2 Gallon is equal to 64 ounces
16 x 6 = 96
96 + 64 = 160
5 gallons is equal to 640
640 - 160 = 480

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Erik and Nita are playing a game with numbers. In the game, they each think of a random number from zero to 20. If the differenc

Mademuasel [1]

Let X is the random number Erik thinks of, and Y is the random number Nita thinks of.
Both X and Y are in the range from 0 to 20.
<span>X<=20
Y<=20
If the difference between their two numbers is less than 10, then Erik wins.
The difference between the two numbers can be written X-Y, or Y-X depending on which number (X or Y) is greater. But we do not know that. In order not to get negative value, we calculate absolute value of X-Y, written |X-Y| which will give positive value whether X is greater than Y or not.
If |X-Y|<10 Erik wins.
</span><span>If the difference between their two numbers is greater than 10, then Nita wins.
</span><span>If |X-Y|>10 Nita Wins

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2 years ago

Line GH contains points G(–2, 6) and H(5, –3). What is the slope of ?

alexgriva [62]

We will use the slope formula and fill it in accordingly.

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Our x2 is 5 and x1 is -2; our y2 is -3 and y1 is 6

$m=\frac{-3-6}{5-(-2)}=\frac{-9}{7}$ .

The slope of your line is -9/7

5 0

2 years ago

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A cube-shaped water tank having 6 ft side lengths is being filled with water. The bottom is solid metal but the sides of the tan

Mekhanik [1.2K]

Answer:

0.033 ft

Step-by-step explanation:

Let g = 32.2 ft/s2 and h be the maximum height that water can be filled before the sides shatter.

Pressure is distributed from 0 to maximum at the bottom like the following equation:

$P = \rho gh$

So the force generated by water pressure on the side of the tank is

$F = PA = \rho ghs/2$

where s = 6ft is the side length of the tank. This force cannot be larger than 200lb

$\rho ghs/2 \leq 200$

$62.4*32.2*h*6/2 \leq 200$

$h \leq 0.033 ft$

4 0

2 years ago

Gus has a fish tank that holds 471047104710 inches^3 3 cubed of water. He is using a cylinder shaped bucket with a radius of 555

ozzi

Answer:

Gus will need to fill up the cylindrical bucket three times to be able to use it to fill up the tank

Step-by-step explanation:

Extracting the key information from the question:-

*** A fish tank has a capacity or volume of 4710 inches^3

*** The owner of the tank uses a cylindrical shaped bucket to fill the tank

*** The radius of the bucket being used to fill the tank is 5 inches and its height is 20 inches

*** We are only required to calculate how many times Gus will need to fill the bucket in order to completely fill the fish tank.

Since the container that the owner of the fish tank is using to fill the fish tank is cylindrical, we will need the formula for calculating the volume of a cylinder in order to determine the volume of this bucket that is being used to fill the fish tank.

Volume of a cylinder = π × r^2 × h. From the question, we were informed that the radius of the cylindrical bucket is 5 inches and the height of this bucket is 20 inches.

The volume of the bucket is = 3.14 × 5^2 × 20 = 1570 inches^3

Again, we were told that the fish tank that Gus was using cylindrical bucket to fill up has a volume of 4710 inches^3. In order to determine the number of filled buckets that will be able to fill the fish tank, we will then divide the volume of the tank by the volume of the cylindrical bucket:

4710/1570 = 3 full buckets.

Therefore, Gus will need to fill the bucket three times in order to be able to fill up the fish tank.

7 0

2 years ago

Which of the following terms appear in the expansion of (x+y)^8? The letter a in each term represents a real constant.

Sedbober [7]

The given expression is

$(x+y)^8$

The exponent of x is decreasing and y in increasing .

That is ,

$a x^8 + b x^7y+ c x^6y^2 + d x^5 y ^3 + e x^4 y^4 + f x^3 y^5 + g x^2 y^6 +h x y^7 + i y^8$

Where a,b,c,d,e,f,g,h,i are th constants

So the correct options are b and d .

5 0

2 years ago

Read 2 more answers