Mathematics, 16.01.2020 15:31 abbyramirez52

Lots of points!

malachi took cans to the recycling plant and put them into the can-crusher one at a time. after he had already crushed some of the cans, he started recording the number of cans he crushed per minute. the table shows how many cans malachi put in the can-crusher at different times.

minutes: 3 i 5 l 7 l 9
cans crushed: 49 l 65 l 81 l 97

what is the equation that represents malachi’s situation? record any fractional answers in decimal form. (y – 65) = (x – ) (fill in the blanks)

Answers: 2

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If y represents the total number of cans already crushed at a given time,
and x represents the number of minutes,
then we can observe that this is a point-slope equation for the point (5,65).

The point-slope format is
y - b = m (x - a)
where m is the slope of the line
and (a,b) are coordinates of a point on the line.

Since we're given b=65, we find the x-coordinate that corresponds to 65 on the table,
and therefore we know a=5.

We also need to fill in the blank for the slope. It turns out the slope is constant for the whole table, so we can use any two points to calculate it. Using the endpoints (3,49) and (9,97), we get
m = (difference in y-coordinates) / (difference in x-coordinates)
= (97 - 49) / (9 - 3) = 48/6 = 8

So now we know that a=5, b=65, m=8 and the point-slope equation
y - b = m (x - a)
turns out to be
y - 65 = 8 (x - 5)

Answer from: Quest

option a is correct.

$\frac{\text{original height}}{\text{original base}}=\frac{\text{reduction height}}{\text{reduction base}}$

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

$\frac{\text{original height}}{\text{original base}}=\frac{\text{reduction height}}{\text{reduction base}}$

Which is the scale factor proportion for the reduction shown? answers are on picture.

Answer from: Quest

answer: input the dimensions of the room to be painted. click the button to calculate the amount of paint and man-hours needed for this job.

interior paint coverage depends on the brand of paint used. the coverage amount is listed on the label of the paint can. use this to adjust the values in the paint coverage section below. paint usually is applied at 350 to 400 square feet per gallon (primer at 200 to 300 square feet per gallon).

step-by-step explanation:

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malachi took cans to the recycling plant and put them into the can-crus...