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3 years ago

Determine the value for which the rational expression 5x/6x

Mathematics

2 answers:

KiRa [710]3 years ago

8 0

Step-by-step explanation:

5x/6x
(5/6)×(x/x)

Here, x cancels each others

5/6
0.833

Lana71 [14]3 years ago

4 0

Answer:

(5x/6x)

(5/6) × (x/x)

5/6 = 0.833.

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For a field trip 29 students rode in cars and the rest filled eight buses. how many students were in each bus if 237 students we

Inessa [10]

So if 29 students rode in cars, we can subtract 29 from 237 because we don't need to know about the people in the cars, which means that 208 students rode on buses. If there were 8 buses, the we need to divide 208 by 8 which makes 26 students per bus.

I hope this helps!

4 0

3 years ago

Suppose the coefficient matrix of a linear system of four equations in four variables has a pivot in each column. Explain why th

Veseljchak [2.6K]

If the coefficient matrix has a pivot in each column, it means that it is shaped like this:

$A=\left[\begin{array}{cccc}a_{1,1}&a_{1,2}&a_{1,3}&a_{1,4}\\0&a_{2,2}&a_{2,3}&a_{2,4}\\0&0&a_{3,3}&a_{3,4}\\0&0&0&a_{4,4}\end{array}\right]$

So, the correspondant system

$Ax = b$

will look like this:

$\left[\begin{array}{cccc}a_{1,1}&a_{1,2}&a_{1,3}&a_{1,4}\\0&a_{2,2}&a_{2,3}&a_{2,4}\\0&0&a_{3,3}&a_{3,4}\\0&0&0&a_{4,4}\end{array}\right]\cdot \left[\begin{array}{c}x_1\\x_2\\x_3\\x_4\end{array}\right] = \left[\begin{array}{c}b_1\\b_2\\b_3\\b_4\end{array}\right]$

This turn into the following system of equations:

$\begin{cases}a_{1,1}x_1+a_{1,2}x_2+a_{1,3}x_3+a_{1,4}x_4=b_1\\a_{2,2}x_2+a_{2,3}x_3+a_{2,4}x_4=b_2\\a_{3,3}x_3+a_{3,4}x_4=b_3\\a_{4,4}x_4=b_4\end{cases}$

The last equation is solvable for $x_4$ : we easily have

$x_4=\dfrac{b_4}{a_{4,4}}$

Once the value for $x_4$ is known, we can solve the third equation for $x_3$ :

$x_3 = \dfrac{b_3-a_{3,4}x_4}{a_{3,3}}$

(recall that $x_4$ is now known)

The pattern should be clear: you can use the last equation to solve for $x_4$ . Once it is known, the third equation involves the only variable $x_3$ . Once

4 0

3 years ago

For trapezoid JKLM, A and B are midpoints of the legs. Find AB.

romanna [79]

Answer:

Step-by-step explanation:

The length of the median of a trapezoid equals one-half the sum of the lengths of the bases.

$\begin{array}{rcl}AB & = & \frac{1}{2}(JK + LM)\\\\& = & \frac{1}{2}(19 + 39)\\\\& = & \frac{1}{2}\times 58\\\\& = & \mathbf{29}\\\end{array}$

8 0

4 years ago

If Mrs. Kliesch’s advanced class is 40% boys, and there are 12 boys, how many students are in her class?

den301095 [7]

Answer:

30 students

Step-by-step explanation:

40% boys and 12 boys so 60% is girls

40/100=12/x

x=30

30-12 is 18

so 30 students, 12 boys, and 18 girls.

3 0

3 years ago

GIVING OUT BRAINLIEST ANSWER!!! HELP ME OUT PLEASEEE

Goshia [24]

Answer:

Step-by-step explanation:

Hope It Helps

BRAINLIEST PLEASE

7 0

3 years ago