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2 years ago

Hich is the lowest common denominator that would be used to add these four fractions?

Mathematics

1 answer:

Rzqust [24]2 years ago

3 0

Step-by-step explanation:

To find the LCM, we must check and find the value that all four denominators can divide without a remainder.

Let's take 48

Therefore: 48/8= 6

48/16= 3

48/3= 16

48/2= 24

So, we can see that clearly 48 is our LCM

Therefore; 6(3/8)+3(5/16)+16(2/3)+24(1/2)

=18/48+15/48+32/48+24/48

=(18+15+32+24)/48

=89/48

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What is 60% of 300?

V125BC [204]

Do a proportion
60/100= x/300
60 x 300= 18,000
18,000 divided by 100= 180
Answer is 180

Or you could have done .60 x 300 and got 180.

3 0

2 years ago

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Solving for matrices

muminat

Answer:

Step-by-step explanation:

The augmented matrix for the system of three equaitons is

$\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\5&2&-2&|&11\\5&-4&4&|&-7\end{array}\right)$

Multiply the first row by 5, the second row by -3 and add these two rows:

$\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\5&-4&4&|&-7\end{array}\right)$

Subtract the third row from the second:

$\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\0&6&-6&|&18\end{array}\right)$

Divide the third row by 6:

$\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\0&1&-1&|&3\end{array}\right)$

Now multiply the third equation by 26 and add it to the second row:

$\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\0&0&-45&|&-90\end{array}\right)$

You get the system of three equations:

$\left\{\begin{array}{r}3x-4y-5z=-27\\-26y-19z=-168\\-45z=-90\end{array}\right.$

From the third equation

$z=\dfrac{90}{45}=2.$

Substitute z=2 into the second equation:

$-26y-19\cdot 2=-168\\ \\-26y-38=-168\\ \\-26y=-168+38=-130\\ \\y=\dfrac{130}{26}=5.$

Now substitute z=2 and y=5 into the first equation:

$3x-4\cdot 5-5\cdot 2=-27\\ \\3x-20-10=-27\\ \\3x-30=-27\\ \\3x=-27+30=3\\ \\x=1.$

The solution is (1,5,2)

4 0

2 years ago

Use the Distributive Property to multiply 8 and 45 in your head.

Andre45 [30]

Answer:

320+40=360

Step-by-step explanation:

8(40+5)

320+40=360

5 0

2 years ago

Read 2 more answers

Select the correct answer

jeka57 [31]

OB would be correct

6 0

2 years ago

help me (a) The total cost of rent is determined by recording x months of rent at $1400 per month, plus a $150 application fee.

xxTIMURxx [149]

Answer:

$1400x + $150

Step-by-step explanation:

Let the total cost of rent used for a month be $1400 plus a $150 application fee.

This means that;

Total cost (1 month) = $1400(1) + $150 = $1550

TO calculate the cost for x months, we will simply multiply x with the cost of rent for 1 month as shown.

The cost of rent for x month = 1400x * $150

The cost of rent for x month = $1400x + $150 (application fee are paid only once)

6 0

2 years ago