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3 years ago

12

It takes 8 people to clear an acre of weeds in 4 hours. How many acres can 16 people clear in 4 hours? How many acres can 2 peop

le clear in 4 hours?

1 answer:

Stella [2.4K]3 years ago

5 0

It will take 2 hours for 16 people to clear an acre of weeds, and 8 hours for 2 people to clear an acre of weeds.

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Helena wrote the equation using point-slope form for the line that passes through the points (5, 1) and (3, 5). Analyze the step

viva [34]

Answer:

In step 2, she didn’t use an x and y from the same coordinate pair

Step-by-step explanation:

see the attached figure to better understand the problem

we have the points (5, 1) and (3, 5)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{5-1}{3-5}$

$m=\frac{4}{-2}$

$m=-2$

step 2

The equation of the line in point slope form is

$y-y1=m(x-x1)$

take the point (3,5)

$m=-2$

substitute

$y-5=-2(x-3)$

$y-5=-2x+6$

$y=-2x+6+5$

step 3

$y=-2x+11$

therefore

In step 2, she didn’t use an x and y from the same coordinate pair

3 0

3 years ago

Read 2 more answers

Which logarithmic equation is equivalent to the exponential below ? e^5x=6

Aneli [31]

$\bf \textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b~\hfill e^{5x}=6\implies \log_e(6)=5x$

3 0

3 years ago

Write an equation of the perpendicular bisector of the line segment whose endpoints are (−1,1) and (7,−5)

icang [17]

The equation is $y = \frac{3}{2} x - \frac{11}{2}$

<u>Explanation:</u>

We have to first find the mid-point of the segment, the formula for which is

$(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )$

So, the midpoint will be $(\frac{-1+7}{2} , \frac{1-5}{2} )\\\\$

= $(3,-2)$

It is the point at which the segment will be bisected.

Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula $\frac{y_2-y_1}{x_2-x_1}$

The slope is $\frac{-5-1}{7+1}$ = $-\frac{2}{3}$

Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of $-\frac{2}{3}$ is $\frac{3}{2}$

To write an equation, substitute the values in y = mx + c

WHere,

y = -1

x = 3

m = 3/2

Solving for c:

$-1 = \frac{3}{2} X 3 + c\\\\-1 = \frac{9}{2}+c\\ \\c = \frac{-2-9}{2} \\\\c = \frac{-11}{2}$

Thus, the equation becomes:

$y = \frac{3}{2} x - \frac{11}{2}$

7 0

3 years ago

What is 40(33-11)2^2

Inga [223]

Answer:

3520

Step-by-step explanation:

33-11=22

40 times 22=880

880 times 4=3520

3 0

2 years ago

A TV station executive is planning the new lineup for next season's shows. On Monday nights, there will be 6 sitcoms and 6 drama

liberstina [14]

Answer:

x = length of sitcoms = 21 minutes

y = length of dramas = 42 minutes

Step-by-step explanation:

Let

x = length of sitcoms

y = length of dramas

6x + 6y = 372 (1)

2x + 6y = 288 (2)

Subtract (2) from (1) to eliminate y

6x - 2x = 372 - 288

4x = 84

x = 84/4

x = 21

Substitute x = 21 into (1)

6x + 6y = 372

6(21) + 6y = 372

126 + 6y = 372

6y = 372 - 126

6y = 246

y = 246/6

y = 41

x = length of sitcoms = 21 minutes

y = length of dramas = 42 minutes

5 0

2 years ago