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3 years ago

Which fraction represent the given fraction rewritten with their LCD?

1 answer:

7 0

Please, use ( ) around fractional coefficients:

1/3x-9y, 6/5x-15y should (probably) be written as (1/3) - 9y and (6/5)x - 15 y.

The LCD here is 3(5) = 15.

Mult. 1/3x-9y and 6/5x-15y by 15, and then divide the result by 15:

15 [ (1/3)x - 9y and (6/5)x - 15 y ]
---------------------------------------------
15

This simplifies to:

5x - 135y and 18x - 225y
------------ --------------
15 15

These fractions are equivalent to the original ones, but now the common denominator, 15, is evident.

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In a flight of 600 km, the speed of the aircraft was slowed down due to bad weather. The average speed of the trip was decreased

UkoKoshka [18]

The average speed would be 600 km/hr.

Step-by-step explanation:

Let the original speed be 'x'

Let the decreased speed be 'x-200'

Distance = 600 km

Time increased by 30 minutes

According to question, it becomes,

$\dfrac{600}{x-200}-\dfrac{600}{x}=\dfrac{30}{60}\\\\\dfrac{x-(x-200)}{x^2-200x}=\dfrac{1}{2\times 600}\\\\\dfrac{200}{x^2-200x}=\dfrac{1}{1200}\\\\240000=x^2-200x\\\\x^2-200x-240000=0\\\\x=600,-400$

So, The average speed would be 600 km/hr.

5 0

3 years ago

A swimming pool of 25m long and 20m wide is filled with water to a depth of 5m. what is the volume of water when it is 3/4 full?

Gwar [14]

Answer:

$1875m^{3}$

Step-by-step explanation:

To find $\frac{3}{4}$ of the volume, we first must know the total volume.

The formula to find volume:

$volume = length * width * depth$

We know the length is 25m, we know the width is 20m and we know the depth is 5m.

So, we can substitute them into the equation:

$volume=25*20*5=2500m^{3}$

Now we know the total volume, we can find out the volume when it is $\frac{3}{4}$ full:

$\frac{3}{4} * 2500 = 1875m^3$

Therefore, our final answer is $1875m^{3}$ .

6 0

2 years ago

Mother bought 3 cans of sardines at ₱17.80 each, 5 cans of milk at ₱38.85 each, 3kg sugar at ₱60.50 each, and 2 cans of corn bee

neonofarm [45]

Step-by-step explanation:

Total amount is:

3*17.80 + 5*38.85 + 3*60.50 + 2*78.85 = 586.85

If the numbers are correct ₱500 won't be enough as the total amount exceeds it.

6 0

3 years ago

Read 2 more answers

For the triangles to be congruent by HL, what must be the value of x?

lilavasa [31]

Answer:

x = 8

Step-by-step explanation:

For the triangles to be congruent, then the legs

ED = AB, that is

4x + 2 = 34 ( subtract 2 from both sides )

4x = 32 ( divide both sides by 4 )

x = 8

6 0

4 years ago

(4,7), (x,19); slope = 3 the pair points lies on the same line with the given slope. Find x

Andrew [12]

So we are given two points, say P1(4,7), P2(x,19).

Slope is given by
m=3=(y2-y1)/(x2-x1)=(19-7)/(x-4)
solve for x
3=(19-7)/(x-4)
cross multiply
3(x-4)=12
3x-12=12
3x=12+12=24
x=8

3 0

4 years ago