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Natalija [7]
3 years ago
14

The sum of 3/4 and 18/19 is closest to 0, 1, 2

Mathematics
2 answers:
QveST [7]3 years ago
6 0

Answer: 2

Explanation:

In order to sum two rational numbers, we should find their lowest common denominator. In this case, the two fractions are

\frac{3}{4}

\frac{18}{19}

so, their lowest common denominator is 4\cdot 19=76. So, the sum of the two numbers becomes

\frac{3}{4}+\frac{18}{19}=\frac{3 \cdot 19+18\cdot 4}{76}=\frac{57+72}{76}=\frac{129}{76}=1.697..

So, this number is closer to 2.


professor190 [17]3 years ago
5 0

Answer:

1.69 it is closest to 2.

Step-by-step explanation:

Given : \frac{3}{4} and  \frac{18}{19}

To find  : Sum

Solution We have given that  \frac{3}{4} and  \frac{18}{19}

\frac{3}{4} +  \frac{18}{19}

Least common multiple of 4 and 19 is 76

So, \frac{3*19}{4 *19} +  \frac{18 *4}{19*4}

\frac{57}{76} +  \frac{72}{76}

Now , the denominator is equal then combine the fraction

\frac{57 + 72}{76}

\frac{129}{76}

Sum  = 1.69

Therefore, 1.69 it is closest to 2.

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Suppose that y = k * (x - 1/3) ^ 2 is a parabola in the xy -plane that passes through the point (2/3, 1) :Find k and the length
Dennis_Churaev [7]

Answer:

k = 9

length of chord = 2/3

Step-by-step explanation:

Equation of parabola:   y=k (x-\frac13)^2

<u />

<u>Part 1</u>

If the curve passes through point (\frac23 ,1), this means that when x=\dfrac23, y = 1

Substitute these values into the equation and solve for k:

\implies 1=k \left(\dfrac23-\dfrac13\right)^2

\implies 1=k \left(\dfrac13 \right)^2

Apply the exponent rule \left(\dfrac{a}{b} \right)^c=\dfrac{a^c}{b^c} :

\implies 1=k \left(\dfrac{1^2}{3^2} \right)

\implies 1=\dfrac{1}{9}k

\implies k=9

<u>Part 2</u>

  • The chord of a parabola is a line segment whose endpoints are points on the parabola.  

We are told that one end of the chord is at (\frac23 ,1) and that the chord is horizontal.  Therefore, the y-coordinate of the other end of the chord will also be 1.  Substitute y = 1  into the equation for the parabola and solve for x:

\implies 1=9 \left(x-\dfrac13 \right)^2

\implies \dfrac19 = \left(x-\dfrac13 \right)^2

\implies \sqrt{\dfrac19}  = x-\dfrac13

\implies \pm \dfrac13  = x-\dfrac13

\implies x=\dfrac23, x=0

Therefore, the endpoints of the horizontal chord are: (0, 1) and (2/3, 1)

To calculate the length of the chord, find the difference between the x-coordinates:  

\implies \dfrac23-0=\dfrac23

**Please see attached diagram for drawn graph. Chord is in red**

6 0
2 years ago
Question in attachment​
valkas [14]

Answer:

Hey Dude....

Step-by-step explanation:

This is ur answer.....

<h3><em>(a) Six</em></h3><h3><em>(a) Six(b) 120</em></h3><h3><em>(a) Six(b) 120(c) 720</em></h3>

Hope it helps!

Brainliest pls!

Follow me! :)

7 0
2 years ago
I really need someone to answer this, QUICK!
Elodia [21]

Answer:

A. LCM=72   B. GCF=7    C. 7(5+9)

Step-by-step explanation:

A. 8/2=4/2=2  9/3=3   Use the denominators to find the LCM. In this case, the LCM is 72.

B.  35/5=7   63/3=21/3=7    The GCF for these numbers is 7 because it is the only factor that they have in common.

C.   7 x 14=88     Since 5 and 9 don't have common factors, they work perfectly for this problem.

6 0
3 years ago
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4 years ago
Round to the nearest hundredth 5/8
Solnce55 [7]
Eighths and their multiples are common fractions which I recommend memorizing, but to actually solve this, you use the literal meaning of a fraction and divide 5 by 8. See the long-division below (it was surprisingly difficult to type, so I hope it helps!).

To round 0.625 to the nearest hundredth, we go to the second decimal place, which is 5, so we round up to 0.63.

3 0
3 years ago
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