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3 years ago

Three numbers are in the ratio 2 : 3 : 4. The sum of their cubes is 33957. Find the largest number

1 answer:

lina2011 [118]3 years ago

4 0

We take each number as x = 2x 3x 4x
(2x)³+(3x)³+(4x)³=33957
8x³+27x³+64x³=33957
99x³=33957
x³=33957÷99
=∛343
x=7
2x=2×7=14
3x=3×7=21
4x=4×7=28
=the three numbers are 14,21,28

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In order to solve the following system of equations by addition, which of the

Pavlova-9 [17]

Answer:

Multiply the top equation by -3 and the bottom equation by 2

Step-by-step explanation:

Given system of equations:

$\begin{cases}4x-2y=7\\3x-3y=15 \end{cases}$

To solve the given system of equations by addition, make one of the variables in both equations sum to zero. To do this, the chosen variable must have the same coefficient, but it should be negative in one equation and positive in the other, so that when the two equations are added together, the variable is eliminated.

To eliminate the variable y:

Multiply the top equation by -3 to make the coefficient of the y variable 6:

$\implies -3(4x-2y=7) \implies -12x+6y=-21$

Multiply the bottom equation by 2 to make the coefficient of the y variable -6:

$\implies 2(3x-3y=15) \implies 6x-6y=30$

Add the two equations together to eliminate y:

$\begin{array}{l r r}& -12x+6y= &-21\\+ & 6x-6y= & 30\\\cline{1-3}& -6x\phantom{))))))} = & 9\end{array}$

Solve for x:

$\implies -6x=9$

$\implies x=-\dfrac{9}{6}=-\dfrac{3}{2}$

Substitute the found value of x into one of the equations and solve for y:

$\implies 3\left(-\dfrac{3}{2}\right)-3y=15$

$\implies -\dfrac{9}{2}-3y=15$

$\implies -3y=\dfrac{39}{2}$

$\implies y=-\dfrac{39}{2 \cdot 3}$

$\implies y=-\dfrac{13}{2}$

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2 years ago

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I don’t get this one please HELPPP MEE

iren2701 [21]

Answer:

135

Step-by-step explanation:

The given expression is

$\frac{2 {x}^{2} }{x} +x(100 - 15x)$

From the question, x=5

So,by substitution,we obtain

$=\frac{2({5}^{2})}{5} +5(100 - 15(5))$

$=\frac{2(25)}{5} +5(100 - 75))$

$=2(5)+5(25)$

$= 10+125$

$= 135$

Hence the answer is 135

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3 years ago

Which data set is represented by the modified box plot?

IgorLugansk [536]

Answer:A

Step-by-step explanation: A has everthing correct the median is between the numbers 92 98 making it 95 these are the numbers is order 79,86,88,88,92,98,100,106,115,136

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3 years ago

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Simplify using the laws of exponents (4^3)^-2 × (2^3)^4 ×(8/15)^-2

katrin2010 [14]

Answer:

$\dfrac{225}{64}$