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2 years ago

Find The Sum. 6 2/3 + 1 5/6=

Mathematics

2 answers:

patriot [66]2 years ago

5 0

6 2/3 + 1 5/6 = 8 1/2

i am a mathematics teacher. if anything to ask please pm me

Svetlanka [38]2 years ago

4 0

You first turn both fractions into improper fractions. then you get 20/3 and 11/6. afterthat multiply 20/3 by 2 because you need the same denominator as 11/6. so that will be 40/6. then add 40/6 and 11/6 = 51/6. Lastly turn 51/6 into a mixed number by dividing 51÷6= 8.5 meaning the answer would be 8 and 1/2

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stich3 [128]

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The graph would just be a vertical line as there is no slope or no change in the slope of the equation.

Step-by-step explanation:

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3 years ago

Rewrite without absolute value for the given conditions:

svlad2 [7]

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3 years ago

Solve the system, or show that it has no solution. (If there is no solution, enter NO SOLUTION. If there are an infinite number

liberstina [14]

Answer:

The system has an infinite set of solutions $(x,y) = (x, \frac{x-5}{4})$

Step-by-step explanation:

From the first equation:

$20x - 80y = 100$

$20x = 100 + 80y$

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Replacing on the second equation:

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2 years ago

How many liters of water must Sharon add to 2 liters of a sugar and water solution that is 36% sugar to create a solution that i

Dahasolnce [82]

The amount of sugar $x$ in the starting solution contributes to a 36% concentration, so we have

$\dfrac x2=0.36\implies x=0.64$

units of sugar in the solution.

Into this solution, Sharon wants to pour $y$ liters of water to obtain a smaller concentration of sugar in the overall solution:

$\dfrac{0.64}{2+y}=0.12\implies\dfrac{16}3=2+y\implies y=\dfrac{10}3\approx3.33$

So Sharon needs to add $\dfrac{10}3$ liters of water to the solution to get the desired concentration.

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3 years ago

the hoover dam is 725 feet tall. how long would it take an object to fall from the top to the base of the dam? round the answer

Alinara [238K]

Answer:

45.05 seconds

Step-by-step explanation:

Use the formula: d = v $i$ t + $\frac{1}{2}$ a $t^{2}$

d = distance v $i$ = initial velocity (m/s)

t = time (s) a = acceleration (m/ $s^{2}$ )

m is meters and s is seconds. They are units of measurement so leave them be.

Assuming the object is simply dropped, the initial velocity is 0 since the object was not moving before it was dropped.

The distance is 725 feet, which is 220.98 meters.

The acceleration is 9.81m/ $s^{2}$ since that is the acceleration of Earth's gravity, aka free fall.

Time is what we are trying to find so just leave it as the variable t.

So plug the values into the equation:

220.98m = (0)(t) + $\frac{1}{2}$ (9.81m/ $s^{2}$ )(t)

220.98m = (4.905m/ $s^{2}$ )(t)

45.0519877676s = t

t = 45.05s

Remember to pay attention to units because your answer will be wrong otherwise

7 0

1 year ago