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photoshop1234 [79]
4 years ago
8

Please do 24 1/2 - 19 5/8

Mathematics
1 answer:
Luda [366]4 years ago
7 0
In order to subtract mixed numbers, the easiest way to do it is to make them into improper fractions.

In order to do that, multiply the whole number by the denominator and add it to the numerator.

That would make 24 \frac{1}{2} into \frac{49}{2}.

Also, it'd make 19 \frac{5}{8} into \frac{157}{8}.

Now that they're both improper fractions, you need to make them have a common denominator in order to actually subtract them. You can do that by multiplying the numerator and denominator of \frac{49}{2} by 4, to make it stay the same fraction, but have the same denominator as \frac{157}{8}.

\frac{49}{2} = \frac{196}{8}

Now we can subtract them!

\frac{196}{8} - \frac{157}{8} = \frac{39}{8}
When subtracting fractions, only subtract the numerators. You don't subtract the denominators.

The final answer is \frac{39}{8}
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Complete the square:

x^2-8x+a^2\implies a=\dfrac{8x}{2x}=4\implies x^2-8x+4^2\\\\\\y^2-6y+b^2\implies b=\dfrac{6y}{2y}=3\implies y^2-6y+3^2

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Helping others makes a person good ​
oksano4ka [1.4K]

Answer:

9 cm.

Step-by-step explanation:

Let the height of the pyramid be h cm, then the height of the cuboid is (15 - h) cm.

Volume of the pyramid:

= 1/3 * h * s^2      where s is the length of a side of the square base.

= hs^2/3 cm^3

Volume of the cuboid:

= s^2(15 - h).

So we have:

hs^2/ 3 = 300.......................(1)

s^2(15 - h) = 600..................(2)

From  equation (1) :

h s^2 = 900

s^2 = 900/h

Now substitute for s^2 in  equation (2) :

(900/h)(15 - h) = 600

Multiply through by h:

900(15 - h) = 600h

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Answer:

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Step-by-step explanation:

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If the given ordered pair equal then find value of x and y<br>(3x+5)=(x+2)<br>and (4y+7)= (y+3)<br>​
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Answer:

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