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djyliett [7]
3 years ago
5

A line seg. has endpoints at (4,-6) and (0,2). What is the slope of the given line segment?

Mathematics
2 answers:
Setler79 [48]3 years ago
8 0
Slope = y sub 2 - y sub 1 / x sub 2 - x sub 1
M = 2+6/0-4
M = -2
padilas [110]3 years ago
3 0
The slope is (-10,2). Hope this helps!
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A 5-gallon jug of cleaning solution contains 6% bleach. How much pure water should be added to it to dilute to 4% bleach?
mihalych1998 [28]
Let's bear in mind that 5 gallons with a solution of 6% bleach, contains some water plus some bleach, how much bleach?  well, is just 6% of 5 gallons or namely (6/100) * 5 gallons, or 0.30 gallons.

if we use "x" gallons of water, well pure water has no bleach, so is 0% bleach, and it has a (0/100) * x or 0x gallons of bleach.

the mixture will be say "y" gallons, and is 4% bleach, so (4/100) * y is 0.04y gallons in the mixture of bleach.

\bf \begin{array}{lcccl}
&\stackrel{gallons}{quantity}&\stackrel{\textit{\% of bleach}}{amount}&\stackrel{\textit{gallons of bleach}}{amount}\\
&------&------&------\\
\textit{pure water}&x&0.00&0x\\
\textit{6\% solution}&5&0.06&0.3\\
-----&------&------&------\\
mixture&y&0.04&0.04y
\end{array}
\\\\\\
\begin{cases}
x+5=\boxed{y}\\
0x+0.3=0.04y\\
---------\\
0.3=0.04\left( \boxed{x+5} \right)
\end{cases}
\\\\\\
0.3=0.04x+0.2\implies 0.1=0.04x\implies \cfrac{0.1}{0.04}=x\implies 2.5=x
3 0
3 years ago
How many gallons of paint will you need in order to paint a wall that is 42 feet wide and 27 feet high if one gallon will cover
GREYUIT [131]

Answer:

42 x27  //// 1134 is the area

Step-by-step explanation:

1134/ 200= 5.67

You have to round up because you can’t get .67 of a paint bucket So you would have to round it out. <em>About 6 buckets.</em>

6 0
2 years ago
There are around 6,678,000 households with pet rabbits in the United States. There are about 126.2 million households in the U.S
Ksju [112]

Answer:

C

Step-by-step explanation:

Divide the household with pet rabbits by the total number of household in the U.S. to get the proportion of U.S. households with pet rabbits. Then, convert the proportion to a percentage.

6,678,000/126,200,000 ≈ 0.05 = 5%

8 0
3 years ago
Read 2 more answers
A random sample of 70 printers discovered that 25 of them were being used in small businesses. find the 95% limit for the popula
kvasek [131]

Answer:

The sample proportion of printers used in small business is:

\hat{p}=\frac{25}{70}=0.3571

The 95% confidence interval for the population proportion of printers that are used in small businesses is:

\hat{p} \pm z_{\frac{0.05}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n} }

Where:

z_{\frac{0.05}{2}}=1.96 is the critical value at 0.05 significance level

\therefore 0.3571 \pm 1.96 \sqrt{\frac{0.3571(1-0.3571)}{70} }

         0.3571 \pm 0.1122

         \left ( 0.3571 - 0.1122, 0.3571 + 0.1122 \right)

         \left(0.245,0.469 \right)

Therefore, the 95% confidence interval for the population proportion of printers that are used in small businesses is (0.245 , 0.469)



7 0
3 years ago
A. What is the monthly payment for a<br>$3,200 five-year loan with an APR of 3%.​
madreJ [45]

Answer:

$57.50

Step-by-step explanation:

we know that

The monthly loan payment formula is equal to

M=\frac{P(\frac{r}{12})(1+\frac{r}{12})^{12t}}{(1+\frac{r}{12})^{12t}-1}

where

M ----> is the monthly payment

P ---> the amount borrowed

r ---> interest rate as decimal

t ---> length of the loan in years

we have

t=5\ years\\ P=\$3,200\\ r=3\%=3/100=0.03

substitute in the formula

M=\frac{3,200(\frac{0.03}{12})(1+\frac{0.03}{12})^{12(5)}}{(1+\frac{0.03}{12})^{12(5)}-1}

M=\frac{3,200(0.0025)(1.0025)^{60}}{(1.0025)^{60}-1}

M=\$57.50

4 0
2 years ago
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