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MAXImum [283]
3 years ago
8

Matthew needs a new aquarium for his fish. The pet store has a fish tank in the shape of a rectangular prism that measures 5 fee

t long by 2 feet wide by 4 feet high. Matthew needs a fish tank that has a volume of at least 35 cubic feet. Will this fish tank be big enough?
Mathematics
1 answer:
SashulF [63]3 years ago
6 0

Answer: Yes.

Step-by-step explanation:

5 • 2 • 4 = 40

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Simplify the ratio 19:114
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\frac{19}{114}=\frac{19}{19 \cdot 6}=\frac{1}{6}
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A slide has a diagonal of 10 feet and covers a distance of 8 feet across the ground. How many feet high is the slide at its high
Tasya [4]

So, this creates a triangle once again. If we imagine a slide, the slide itself would be the hypotenuse of the triangle, then if there's a ladder leading up to the slide, that would be the vertical length we're looking for. The feet across the ground would be the distance from the bottom of the slide to the bottom of the ladder.

We can use the Pythagorean theorem to find the missing side length, as this would create a right triangle. | 8^2 + b^2 = 10^2 | 64 + b^2 = 100 | b^2 = 36 | b = 6 feet | The slide is 6 feet high at its highest point.

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3 years ago
All 231 students in math club went on a field trip some rode in vans that held 7 people and some rode on buses that held 25 peop
MariettaO [177]

Answer:

8 vans

7 buses

Step-by-step explanation:

Let there be "b" buses

and "v" vans

Since 7 people is the capacity of vans, the total capacity is

7v

Also, since 25 people is the capacity of 1 bus, the total capacity is

25b

In total 231 people, so we can write our first equation as:

7v + 25b = 231

Now, we know there are 15 vehicles (bus + vans) in total, so we can write our 2nd equation as:

v + b = 15

Now, we solve for v and b. Let's solve the 2nd equation for v and substitute that into 1st and solve for b first:

v + b = 15

v = 15 - b

Now,

7v + 25b = 231\\7(15-b) + 25b = 231\\105-7b+25b=231\\18b=126\\b=7

Hence, there are 7 buses

Since 15 vehicles in total, the number of vans is:

15 - 7 = 8 vans

So,

8 vans

7 buses

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