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2 years ago

Simplify 7x+42/x^2+13x+42

Mathematics

1 answer:

o-na [289]2 years ago

5 0

2(10x^3+21x^2+21
x^2

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A raindrops has a mass of 0.50g. how many moles of water does a raindrop contain

alina1380 [7]

So, here you have to look at the periodic table and see what the molar mass of each molecule composing the water compound $H_2 O$
its two hydrogen atom plus an oxygen molecule, making it about 18g per mol.

That said, looking at the mass, we have to ask ourselves, if a mol of water contains 18g of mass, how many moles do we have in 0.5g of water?
We just do a cross multiplication:
$\frac{(0.5)}{18} =0.027 mol$

7 0

3 years ago

Write the equation in slope-intercept form that contains the following two points.

viva [34]

Answer:

y = -3/2 x +5

Step-by-step explanation:

slope = (y2-y1)/(x2-x1)

m= (8--1)/(-2-4)

m= (8+1)/(-2-4)

m= (9/-6)

m=-3/2

point slope form

y-y1=m(x-x1)

y--1 = -3/2(x-4)

distribute

y+1 = -3/2x +3/2 *4

y+1 = -3/2x + 6

subtract 1 from each side

y = -3/2 x +6-1

y = -3/2 x +5

this is in slope intercept form (y=mx+b)

6 0

3 years ago

3. Are these ratios equivalent? 35:28 and 10:8 *

attashe74 [19]

Reduce each ratio to its minimum expression to find if they are equal.

35:28

$\begin{gathered} \frac{35}{28}=\frac{7\cdot5}{7\cdot4} \\ =\frac{5}{4} \end{gathered}$

10:8

$\begin{gathered} \frac{10}{8}=\frac{2\cdot5}{2\cdot4} \\ =\frac{5}{4} \end{gathered}$

Since both ratios reduce to 5:4, they are equivalent.

Another way to check a:b is equivalent to c:d, is that a*d = b*c

In this case, this will be true if 35 times 8 is equal to 10 times 28:

$\begin{gathered} 35\cdot8=280 \\ 10\cdot28=280 \end{gathered}$

Since both products are equal, then the ratios are equivalent.

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8 months ago

Which situation could be solved using this expression? 2k – 3 A. Tamara made three times as many free throws as Marla. Marla mad

ddd [48]

The correct answer is B.

3 0

3 years ago

Read 2 more answers

Which ordered pair is a solution of the equation ?

Gekata [30.6K]

Answer:

C. Both of the above answers

Step-by-step explanation:

13 = -6(-2) + 1

13 = 12 + 1

13 = 13

7 = -6(-1) + 1

7 = 6 + 1

7 = 7

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2 years ago