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kenny6666 [7]
3 years ago
9

What is the equation of the line described below written in slope-intercept form? the line passing through point (-1, 5) and par

allel to the line whose equation is x + y = 10
Mathematics
1 answer:
sergey [27]3 years ago
4 0
Given the line is parallel to x + y = 10, the two lines have the same slope. The slope of x + y = 10 is -1. The line should pass through point (-1, 5). Using the point-slope formula for a line: (y-y1) = m(x-x1) (y-5) = -(x+1) x+y = 4
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A chemist wants to make 100 liters of a 44% acid solution. She has solutions that are 20% acid and 60% acid.
alexgriva [62]

the first solution is 20% acid, and say we'll be using "x" liters, so how many liters of just acid are in it?  well 20% of "x" or namely 0.2x.  Likewise for the 60% acid solution, if we had "y" liters of it, the amount of only acid in it is 0.6y.

\begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{liters of }}{amount}\\ \cline{2-4}&\\ \textit{1st solution}&x&0.20&0.2x\\ \textit{2nd solution}&y&0.60&0.6y\\ \cline{2-4}&\\ mixture&100&0.44&44 \end{array}~\hfill \begin{cases} x+y=100\\\\ 0.2x+0.6y=44 \end{cases}

x+y=100\implies y=100-x~\hfill \stackrel{\textit{substituting on the 2nd equation}}{0.2x+0.6(100-x)=44} \\\\\\ 0.2x+60-0.6x=44\implies -0.4x+60=44\implies -0.4x=-16 \\\\\\ x=\cfrac{-16}{-0.4}\implies \boxed{x=40}~\hfill \boxed{\stackrel{100-40}{y=60}}

7 0
2 years ago
The average American consumes 8.8 liters of alcohol per year. Does the average college student consume less alcohol per year? St
lianna [129]

Answer:

Null hypothesis: u = 8.8 liters

Alternative hypothesis: u < 8.8 liters

Step-by-step explanation:

The null hypothesis is always opposite to Tue alternative hypothesis and is the default hypothesis.

In this case study, the null hypothesis is that the average American consumes 8.8 liters of alcohol per year: u = 8.8

The alternative hypothesis is that does the average American consumes less than 8.8 liters of alcohol per year: u < 8.8 liters

5 0
3 years ago
How can you solve for x?
Ierofanga [76]

Answer:

        x = 55°

Step-by-step explanation:

From given figure  we have

Two lines parallel

As we know simple straight line maintain an  angle of 180°

Third line bisecting the two parallel lines at different position

But hold same same angle form both because lines are parallel.

To find angle   = 180 - 125 = 55

3 0
2 years ago
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___a value used to represent a true measurement that is not exact when an exact answer is not possible
Whitepunk [10]

Answer:

An estimate

Step-by-step explanation:

4 0
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Find the sum: (6a + 6) + (3x - 2) + (2a + 4)
Cerrena [4.2K]

Answer:

8a + 3x + 8

All you have to do is add numbers around to make the process easier.

7 0
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