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3 years ago

Help me and i will give you brainliest and i will give you 100 points.

Mathematics

1 answer:

beks73 [17]3 years ago

3 0

Answer:

$18.64

Step-by-step explanation:

<u>Total amount to be paid is the sum of 4 bills:</u>

21.47 + 14.43 + 13.27 + 25.37 = $74.54

<u>Divide the total by the number of people:</u>

74.54/4 = 18.635 = $18.64 rounded to the nearest cent

If the total to be paid equally, then each person has to pay $18.64

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Step-by-step explanation:

For it to bisect the segment, we need to find the midpoint.

The midpoint is $\left(\frac{1+9}{2}, \frac{-8+2}{2} \right)=(5, -3)$

Now, for it to be perpendicular, we need to use the fact that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the given segment is $\frac{-8-2}{1-9}=\frac{5}{4}$ , so the slope of the perpendicular bisector is $-\frac{4}{5}$

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2 years ago

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3 years ago

Part of the proceeds from a garage sale was $455 worth of $5 bills and $20 bills. If there were 6 more $5 bills than 20$ bills f

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Answer:

$\large \boxed{\text{17 \$20 bills and 23 \$5 bills}}$

Step-by-step explanation:

Let x = the number of $20 bills.

Then x + 6 = the number of $5 bills and

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$\begin{array}{rcl}20x + 5(x + 6) & = & 455\\20x + 5x + 30 & = & 455\\25x + 30 & = & 455\\25x & = & 425\\x & = &\dfrac{425}{25}\\\\x & = &\mathbf{17}\\\end{array}$

x = 17 = number of $20 bills

x + 6 = 17 + 6 = 23 = number of $5 bills

$\text{There were }\large \boxed{\textbf{17 \$20 bills and 23 \$5 bills}}$

Check:

$\begin{array}{rcl}20\times17+ 5(17 + 6) & = & 455\\340 + 5\times23& = & 455\\340 + 115 & = & 455\\455 & = & 455\\\end{array}$

OK.

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