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Dmitriy789 [7]
3 years ago
12

1. Emmanuel bought 28 lb of potting soil this week. This amount is 4 lb more than twice the amount of potting soil he bought las

t week. Answer the following questions to find the number of pounds of soil Emmanuel purchased last week.
(a) What is the unknown information?
(b) Let p represent the unknown information. Write an equation to model the problem.
(c) Which number, 10, 11, or 12, will solve the equation in Part (b)? Show your work.
(d) How many pounds of potting soil did Emmanuel buy last week?
Mathematics
1 answer:
fiasKO [112]3 years ago
4 0
What do you have so far?

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Gnesinka [82]

Answer:

n = - \frac{3}{5q}

Step-by-step explanation:

Given

2nq = 3 + 7nq ( subtract 7nq from both sides )

- 5nq = 3 ( divide both sides by the multiplier - 5q )

n = \frac{3}{-5q} = - \frac{3}{5q}

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3 years ago
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I please need help with this question. Thank you
Diano4ka-milaya [45]

Part (A)

The input variable is the shoe size because it is along the horizontal axis, or x axis. It's not clear what the units for the shoe size are, but it's possible the units are in inches.

The output variable is the y value, which in this case is the height. The units for the height is in inches.

====================================================

Part (B)

We have a positive trend. We determine this visually by noting the regression line, or trend line, is going upward as we move from left to right.

Algebraically, the equation for the trend line has a positive slope, which leads to a positive trend.

A positive trend is where x and y increase together. As shoe size goes up, height goes up as well.

While not all the points are on the line, there is a tendency for the points to go uphill as we move from left to right.

As for the strength of the correlation, that part is subjective. If we knew the correlation coefficient r, then we could be more certain; however, we don't know this value. So instead we have to eyeball the given graph and give an estimate. Based on the graph, I'd say there's a moderate positive correlation going on. It's somewhere in the middle of weak and strong positive correlation because the data points are somewhat scattered randomly, but they trend upward nonetheless.

====================================================

Part (C)

The rate of change is the slope. The slope is the coefficient of the independent variable x. In this problem, the slope is 1.728

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In other words, as the shoe size increases by 1 unit (1 inch perhaps?), the height will increase by roughly 1.728 inches.

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Extra info:

The equation

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is the same as

y = 51.46 + 1.728x

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We can rearrange that into

y = 1.728x + 51.46

So that it matches with the familiar y = mx+b slope intercept form. This is optional.

3 0
3 years ago
The perimeter of a rectangle must be less than 156 feet. If the length is known to be 66 feet, find the range of possible widths
balu736 [363]

x = perimeter

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length = 66

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