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Gekata [30.6K]
3 years ago
12

The local zoo is filling two water tanks for the elephant exhibit. One water tank contains 30 gal of water and is filled at a co

nstant rate of 7 gal/h. The second water tank contains 18 gal of water and is filled at a constant rate of 4 gal/h. Let x = the number of hours the tanks are filling and let y = the number of gallons in the tank. Write and solve a system of equation to determine when the two tanks will have the same amount of water. Explain
This question was at my math test. Can someone explain to me how to do this kind of question step by step?

FYI, the answer is They will never have the same amount of water because the solution to the system is (–4,2). It is not possible to have time be –4 hours.
Mathematics
1 answer:
kakasveta [241]3 years ago
3 0
You first have to set up the two equations. Y is equal to the total number of gallons in a tank and x is equal to the number of hours the tanks are filling.

Since the two equations both equal y I can make them equal each other. I then solved for x as you see and got -4.

Once I found my x value I now needed to find my y. You only needed to chose one equation to solve for y, so I decided to do the first one. I plugged in -4 where my x value currently was and solved for y. I got 2.


If you have any questions please comment!! Hope this helps!!
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The volume of the cone shown below is 108pie cm^3. What is the value of H?
saw5 [17]

Answer:

h = 4cm

Step-by-step explanation:

Diameter = 18cm

Radius = Diameter/2 = 18/2 = 9cm

V = 1/3*pi*r^2*h

We know that the volume is 108pi cm^3. We can just plug in 108pi cm^3 for V and we also know that our Radius (r) is 2.

So,

108 pi = 1/3*pi*9^2*h

108 pi = (81pi*h)/3

multiply 3 from both side

108pi*3 = (81pi*h)/3 *3

324pi = 81pi*h

Now divide the 81pi from both side

324pi/81pi = (81pi*h)/81pi

4 = h

So the height is 4cm

3 0
2 years ago
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Laptops that sell for $660 are on sale with a percent discount of 7%. Find the sale price. Round your answer to the nearest cent
ivann1987 [24]

Answer:

$613.80

Step-by-step explanation:

7% of 660 = 0.07 × 660 = 46.2

660 - 46.2 = 613.80

6 0
2 years ago
This week, Sarah spent a total of 120 minutes studying. This total was 20 more
MrMuchimi

Answer:

She spent 25 minutes studying last week

Step-by-step explanation:

L = last week

120 = 4L + 20

Subtract 20 from either side

100 = 4L

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4 0
2 years ago
The side of one square is equal to 3m and its diagonal is equal to the side of a second square. Find the diagonal of the second
navik [9.2K]

Answer:

6m

Step-by-step explanation:

the side of first square = 3 m

area of first square = 3^2= 9 m^2

let the side of second square = x m

since diagonal of first square = x m as per the question

in a square each angle is 90 degree

therefore by applying pythagorus theorem ,

diagonal ^2 = side^2 + side ^2

diagonal^2 = 3^2+3^2=9+9

DIAGONAL= square root of 18

diagonal= 3\sqrt{2} m = side of second square

therefore in second square ,

one angle is 90  degree , therefore by applying pythagorue theorem

diaqonal^2 = side ^2 + side ^2 = (3\sqrt{2})^2 + ( 3\sqrt{2})^2

diagonal ^2 = 18 + 18

diagonal = square root of 36

therefore diagonal of second square is 6m

hope it helps you... please mark me as the brainliest..

8 0
3 years ago
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Find the missing exponent. 2^{3}\cdot 2^{?}=2^{10}2
guapka [62]

Answer:

7

Step-by-step explanation:

2^3 • 2^7 = 2^10

When multiplying exponents, the exponents add up together. In other words, just subtract 10-3 = 7 that would be your missing exponent!

Hope this helps, good luck!

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2 years ago
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