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guajiro [1.7K]
3 years ago
6

Carmen finish her English assignment in 1/4 hours then she completed her math assignment in 2/5 hours what was the total amount

of time Carmen spent doing these 2 assignment
Mathematics
2 answers:
shepuryov [24]3 years ago
7 0

Answer:

13/20

Step-by-step explanation:

To figure this out, all you need to do is to add 1/4 and 2/5 together. But to do this you first need to find a common denominator. I used 20 as the common denominator, so now the two fractions are 1/4=5/20 and 2/5=8/20. Now that we have a common denominator, all you have to do it 5/20+8/20=13/20.

Sauron [17]3 years ago
7 0
Decimal version:
1/4 = .25
2/5= .4

.25+.4 = .65

65/100 = 13/20

Fraction:
1/4 + 2/5

5/20 + 8/20 = 13/20

Answer:
13/20
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The difference between the roots of the quadratic equation x^2−14x+q=0 is 6. Find q.
pychu [463]

Answer :

The value of q for, the given quadratic equation is 40

Step-by-step explanation :

Given quadratic equation as :

x² - 14 x + q = 0

And  , Difference between the roots of equation is 6

Let A , B be the roots of the equation

So, A - B = 6

The roots of the quadratic equation  ax² + bx + c = 0 as can be find as :

x = \frac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}

x = \frac{14\pm \sqrt{(-14)^{2}-4\times 1\times q}}{2\times 1}

or, x = \frac{-14\pm \sqrt{196-4 q}}{2}

Or, x = \frac{-14\pm \sqrt{196-4 q}}{2}

So , The roots are

A = -7 + \frac{\sqrt{196-4q}}{2}

And B = -7 - \frac{\sqrt{196-4q}}{2}

∵ The difference between the roots is 6

So, A - B = 6

Or, ( -7 + \frac{\sqrt{196-4q}}{2} ) - (  -7 - \frac{\sqrt{196-4q}}{2} ) = 6

Or, ( - 7 + 7 ) + 2 ( \sqrt{196-4q} = 6

Or, 0 + 2 ( \sqrt{196-4q} = 6

∴ 196 - 4 q = 36

or, 4 q = 196 - 36

or 4 q = 160

∴ q = \frac{160}{4}

I.e q = 40

S0, The value of q = 40

Hence The value of q for, the given quadratic equation is 40 . Answer

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2 years ago
What are the steps to 68 times 49
Anastaziya [24]

so basically what you would have to do is set up your numbers. it would look something like this. 68

                                    × 49

                                 -------------

and would then multiply 9 by 8, 9 by 6. put it down below the line while making sure to carry the numbers if need be. then do the same with the 4 times 8, and 4 by 6.

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Step-by-step explanation:

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