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3 years ago

Which of the following data sets is represented by the histogram.

Mathematics

1 answer:

kherson [118]3 years ago

8 0

Answer:

A) (the first data set)

Step-by-step explanation:

It is the only one that has enough numbers to be represented by the histogram

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Solve the following system of equations for a and for b:

viktelen [127]

Answer:

$a=3\\b=1$

Step-by-step explanation:

$9a+3b=30\\8a+4b=28$

Let's solve the second equation for a to later on replace it in the first equation.

$8a+4b=28\\8a=28-4b\\a=\frac{28-4b}{8}$

Now plug this into the first equation.

$9a+3b=30\\9(\frac{28-4b}{8})+3b=30$

Distribute the 9

$(\frac{252-36b}{8}) +3b=30$

Break down the fraction.

$\frac{252}{8}-\frac{36b}{8}+3b=30$

Simplify.

$\frac{63}{2}-\frac{9}{2}b+3b=30$

Subtract $\frac{63}{2}$

$-\frac{9}{2}b+3b=30-\frac{63}{2}$

Combine like terms.

$\frac{-9+2*3}{2}b=\frac{30*2-63}{2}$

$\frac{-9+6}{2}b=\frac{60-63}{2}$

$\frac{-3}{2}b=\frac{-3}{2}$

Muliply by the reciprocal or inverted fraction next to b.

$(-\frac{2}{3})(-\frac{3}{2}) b=-\frac{3}{2}(-\frac{2}{3})$

$b=1$

Now plug this value into any of the equations to find the value of a.

$8a+4b=28\\8a+4(1)=28\\8a+4=28\\8a=28-4\\8a=24\\a=\frac{24}{8}\\ a=3$

5 0

4 years ago

Based on a kc value of 0.200 and the given data table, what are the equilibrium concentrations of xy, x, and y, respectively?

MariettaO [177]

There is no given data table but based on the question, the reaction is
xy <=> x + y
If we let M as the initial concentration of xy and c as the in the concentration after the dissociation, then we can use the ICE method
xy <=> x + y
I M
C -c c c
-----------------------------
E M-c c c

Solve for c using
Kc = c(c) / (M - c)
And the concentration of the xy, x, and y can then be determined

3 0

3 years ago

How much do you need to subtract from 41/6 to get 6

Svetllana [295]

Well 41 divided by 6 is 6.8333333333333 so you just need to subtract .833333333333

I hope this answered your question

3 0

3 years ago

Please help me !!!!!!!!!!!!!!!!

Nutka1998 [239]

Answer: x=-10, y=13

Step-by-step explanation:

$-3x+2y=56\\-5x-2y=24$