Express each product in the simplest form.4/k *4k/4

A farmer planted 32 rows of sweet peppers. Each row had 16 sweet pepper plants. How many plants does he have ALTOGETHER

Anuta_ua [19.1K]

Answer:

512

Step-by-step explanation:

32*16=512

4 0

2 years ago

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What is the slope and y intercept of this line? y = -4x + 7

amid [387]

Slope is -4 and y intercept is 7. Whatever the number in front of the X is, that will always be your slope. Anything added or subtracted after the x, that’s your y intercept! Hope I helped.

4 0

2 years ago

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What is the x intercept of the equation that passes through (1,-6) and is perpendicular to y=1/3x +1

fomenos

$\bf y=\stackrel{slope}{\cfrac{1}{3}}x+1\impliedby \textit{slope of this line, so a perpendicular will be}
\\\\\\
\textit{perpendicular, negative-reciprocal slope for}\quad \cfrac{1}{3}\\\\
negative\implies -\cfrac{1}{ 3}\qquad reciprocal\implies - \cfrac{ 3}{1}\implies -3\\\\
-------------------------------\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1\\
&&(~1 &,& -6~)
\end{array}$

$\bf slope = m\implies -3
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-6)=-3(x-1)
\\\\\\
y+6=-3x+3\implies 0+6=-3x+3\implies 3=-3x\implies \cfrac{3}{-3}=x
\\\\\\
-1=x\qquad \qquad \qquad \qquad \qquad \qquad \qquad (~-1~,~0~)$

8 0

3 years ago

It takes a train 60 seconds to completely drive through a bridge of 1260 m, and 90 seconds to completely drive through a tunnel

Olegator [25]

The length of train is 120 meters

The speed of train is 25 meter per second

Solution:

The speed is given by formula:

$speed = \frac{distance}{time}$

Given that,

It takes a train 60 seconds to completely drive through a bridge of 1260 m

And 90 seconds to completely drive through a tunnel of 2010 m

Let the length of the train be "x"

The total distance travelled by the train across the bridge is given by:

total distance = x + 1260 + x = 2x + 1260

[ here we use x + x to represent that train completely drives through bridge ]

The time taken is given as 60 seconds

Therefore, the speed is given as:

$speed = \frac{2x+ 1260}{60}$

The total distance travelled by the train through the tunnel is given by:

total distance = x + 2010 + x = 2x + 2010

The time taken is given as 90 seconds

Therefore, the speed is given as:

$speed = \frac{2x+ 2010}{90}$

The speed of the train was the same in both cases.

Equate both speeds

$\frac{2x+ 1260}{60} = \frac{2x+ 2010}{90}$

$\frac{x+630}{30} = \frac{x+1005}{45}$

$45(x+630) = 30(x+1005)\\\\45x + 28350 = 30x + 30150\\\\45x - 30x = 30150 - 28350\\\\15x = 1800\\\\x = 120$

Thus length of train is 120 meters

Find the speed of train:

$speed = \frac{2x+ 1260}{60}\\\\speed = \frac{2(120) + 1260)}{60}\\\\speed = 25$

Thus speed of train is 25 meter per second

5 0

3 years ago

Malkia is thinking of a mystery number. She cuts it in half then adds 5. The result is 24. Determine the mystery number. I need

White raven [17]

Answer:38

Step-by-step explanation:if you take 24 and subtract the five she added, it gives you 19 and since she divided it by two you would multiply it by two to get the original number she was thinking of

Hope this helps :)

6 0

3 years ago

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