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3 years ago

7) Ten times the sum of -150 and a number yields -110.

Mathematics

2 answers:

Sliva [168]3 years ago

6 0

Answer:

the answer to that is 10(N+14)=9N

jonny [76]3 years ago

3 0

Let the number = x

Set up an equation:

10(-150 + x ) = -110

Simplify:

-1500 + 10x = -110

Add 1500 to both sides

10x = 1390

Divide both sides by 10

X = 139

The number is 139

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Rufina [12.5K]

We use 2 different rules here:

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3 0

3 years ago

The approximate molar concentration of several chemicals are given. Find the pH of each use the calculator and round to the near

mojhsa [17]

Answer:

$pH = 13$ --- Oven Cleaner

$pH = 6.2$ --- Water

$pH =7.4$ --- Blood

$pH = 2.2$ --- Vinegar

Step-by-step explanation:

The given molar concentration are:[Missing from the question]

Oven Cleaner: [h+] = $10^{-13}$

Water: [h+] = $0.0000007$

Blood: [h+] = $0.00000004$

Vinegar: [h+] = $0.0063$

Required

Determine the pH

pH is calculated using:

$pH = -\log(h+)$

So, we have:

Oven Cleaner:

$pH = -\log(10^{-13})$

Using a calculator, we have:

$pH = 13$

Water:

$pH = -\log(0.0000007)$

Using a calculator, we have:

$pH = -1*-6.2$

$pH = 6.2$

Blood:

$pH = -\log(0.00000004)$

Using a calculator, we have:

$pH = -1 * -7.4$

$pH =7.4$

Vinegar:

$pH = -\log(0.0063 )$

Using a calculator, we have:

$pH = -1 * -2.2$

$pH = 2.2$

4 0

3 years ago

Which equation represents a line which is perpendicular to the line y = -x + 8?

natima [27]

Two lines are perpendicular between each other if their slopes fulfills the following property

$m_1m_2=-1$

where m1 and m2 represents the slopes of line 1 an 2, respectively.

To find the slope of a line we can write it in the form slope-intercept form

$y=mx+b$

Our original line is

$y=-\frac{1}{8}x+8$

Then its slope is

$m_1=-\frac{1}{8}$

Now we have to find the slope of the second line. Using the first property,

$\begin{gathered} m_1m_2=-1_{} \\ -\frac{1}{8}m_2=-1_{} \\ m_2=(-1)(-8) \\ m_2=8 \end{gathered}$

Then the second line has to have a slope of 8.

The options given to us are:

$\begin{gathered} x+8y=8 \\ x-8y=-56 \\ 8x+y=5 \\ y-8x=4 \end{gathered}$

Then we have to determine which of these options have a slope of 8. To do that we write them in the slope-intercept form:

$\begin{gathered} x+8y=8\rightarrow y=-\frac{1}{8}x+1 \\ x-8y=-56\rightarrow y=\frac{1}{8}x+7 \\ 8x+y=5\rightarrow y=-8x+5 \\ y-8x=4\rightarrow y=8x+4 \end{gathered}$

Once we have the options in the right form, we note that the only one of them that has a slope of 8 is the last one.

Then the line perpendicular to the original one is

$y-8x=4$

8 0

1 year ago

7) Ten times the sum of -150 and a number yields -110.​

7) Ten times the sum of -150 and a number yields -110.