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Liula [17]
3 years ago
5

A cistern can be completely drained by a pipe in 6 hours. It can be filled by two pipes in 4 hours and 5 hours, respectively. Ho

w many hours will the empty cistern take to fill if all the pipes are running?
If x is the time to fill it, which of the following equations could be used to solve for t?

4x + 5x - 6x = 1
15x + 12x - 10x = 60
4x + 5x = 20
Mathematics
1 answer:
boyakko [2]3 years ago
6 0
X/4 +x/5 -x/6=1
make the denominator the same: 
15x/60 +12x/60 -10x/60=1
17x=60
x=60/17=3.53 hours

the second choice is the correct answer.
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He ride a bike for 15 miles oer hour how many miles did he ride
Klio2033 [76]
Yes it’s 15, Thats cool man
7 0
3 years ago
How do you know that 21 over 30 is greater than 2 over 3
Bond [772]
The problem deals with fractions comparison, lets do it:
21/30 > 2/3
we begin solving:
21 > (2/3)*30
21 > 2*10
<span>21 > 20
</span>therefore the proposed inequality is true, <span>21/30 > 2/3

You can solve as well getting same denominator for both fractions and comparing directly, in this case we need to get 2/3 to be divided by 30:
2/3 = (10/10)(2/3) = 20/30
So we have:
</span><span>21/30 > 2/3
</span>which is equal to:
<span>21/30 > 20/30
</span>and we compare directly because both fractions are divided by the same number, and we can see that the inequality is true.
7 0
3 years ago
Alfonso drove his car at an average speed of 80km per hour for a total distance of 440km. How long did he travel to cover this d
Bas_tet [7]
5 and 1/2 hours
hope this helps
6 0
3 years ago
The distance between consecutive bases in Major League Baseball is 90 feet. Find the distance from home plate to second base.
sashaice [31]
Assuming the bases are laid out in a square, then we can use the Pythagorean Theorem to find the distance from home plate to second base.

This distance is exactly the length of the hypotenuse of the right triangle that forms when you split the square along the diagonal. Let this distance be x

Each of the legs are 90 ft, so a = 90 and b = 90. The hypotenuse is c = x for now.

a^2 + b^2 = c^2
90^2 + 90^2 = x^2
8100 + 8100 = x^2
16200 = x^2
x^2 = 16200
sqrt(x^2) = sqrt(16200) ... apply the square root to both sides
x = 127.2792206
x = 127.3 .... round to the nearest tenth (one decimal place)

The final answer is 127.3 feet
5 0
3 years ago
Find the measure of CGD.
Lostsunrise [7]

Answer:

23°

Step-by-step explanation:

For this scenario say point G is the center point,

If we look to the left, we see angle FGE has a value of 23

and in this case angle CGD is a congruent angle to FGE therefore the two angles must be the same

so therefore angle CGD should be 23 degrees

7 0
3 years ago
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