MATHEMATICS HIGH SCHOOL

There is a pile of rocks. When 4.6 tons are removed, theremaining amount of rocks is 4.9 tons more than the amount
of removed rocks. How many tons of rock was there
originally?
___tons

Answers

Answer 1

Answer:

Answer:

9.5

Step-by-step explanation:

4.6+4.9= 9.5

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The volume of a triangular prism with base dimensions of 4 cm height and 10 cm base and a prism height of 15 cm is??

Answers

I think you can do this way:
Volume = B*h where B is the area of the base.
B= 4 * 10 = 40
V= 40 * 15
V= 600 cm^3

So,

Your question has already provided the necessary information for us to be able to compute the volume. To find the volume of the triangular prism, you just need to multiply the area of the base (a triangle) by the height (15).

We already know how to find the area of a triangle.

$(1)/(2) (10)(4)$

5(4)

20 cm²

Now, multiply that by the height of the prism.

20 * 15 = 300 cm³

The volume of the triangular prism is 300 cm³.

What is the answer to 3 × 1 × 5/3

Answers

(3)(1)(5)/3 = (3)(5)/3
= 15/3
= 5

Therefore, the answer is five! I hope this helps!

ok the answer to 3*1*5/3 is 5

If 3 cats catch 3 rats in 3 minutes, how many cats will catch 100 rats in 100 minutes?

Answers

3 cats can catch 3 rats in 3 minutes ==> 1 rat per minute.

It takes 3 cats to catch 1 rat per minute.

100 rats in 100 minutes ==> 1 rat per minute

The same 3 cats can do it, if they don't wear out and take naps.

2. Justify each step of the proof.Conjecture: If 2(x2 + 5) = 60, then x is 5 or –5.

1. 2(x2 + 5) = 60                 1.

2. 2x2 + 10 = 60                  2.

3. 2x2 = 50                          3.

4. x2 = 25                            4.

5. x = ±5                              5.

Answers

Hello,

2(x²+5)=60
<==>x²+5=30 (divided teh 2 members by the positive 5 :keep the equality)
<==>x²-25=0 (substract 25 from 2 members)
<==>(x-5)(x+5)=0 (remarquable product a²-b²=(a+b)(a-b))
<==> x= 5 or x=-5 (a product if null if one at least of its factor is null)

It takes a snail 500 hours to travel 15 miles. At this rate, how manyhours will it take the snail to travel 6 miles?
(1) 0.18 (3) 150
(2) 5.56 (4) 200

Answers

Answer:

Option (4) 200 hours.

Step-by-step explanation:

Time taken by a snail in travelling 15 miles = 500 hours

Therefore, time taken by the snail in travelling 1 mile = $(500)/(15)$

Time taken by the snail to travel 6 miles = $(500)/(15)* 6$

= 199.98 ≈ 200 hours

It will take the snail 200 hours to travel 6 miles.

(4) 200

If you do:
15/500=0.03 m/h you find the miles travelled in 1 hour;
now you have 6 miles so you need to do:
6/0.03=200 hours

For the first 4 years of a pig's life, the weight w (in kilograms) of the pig approximately fits the formula w(t) = 2 +14t, where t is the age of the pig in years.Which of the following is the most accurate interpretation of the slope of the line represented by this formula?.A. The slope is 14. This means that the pig gains a total of 14 kilograms in the first 4 years of its life.
B. The slope is 2. This means that the pig gains on average 2 kilograms per year for the first 4 years of its life.
C. The slope is 14. This means that the pig gains on average 14 kilograms per year for the first 4 years of its life.
D. The slope is 2. This means that the pig gains a total of 2 kilograms in the first 4 years of its life.