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Arturiano [62]
3 years ago
14

Emmanuel brought 28 lb of potting soil this week. This amount is 4 lb more than twice the amount of potting soil he brought last

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:
jek_recluse [69]3 years ago
8 0
(a) how much potting soil he bought last week
(b) 28 = 2p + 4
(c) 28 = 2p + 4....subtract 4 from both sides
     28 - 4 = 2p...simplify
     24 = 2p...divide both sides by 2
     24/2 = p....simplify
     12 = p......12 solves the equation
(d) He bought 12 lbs of potting soil last week
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What is the lcm for 7,14,16
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Answer:

112

Step-by-step explanation:

To find the least common multiple, we break the numbers down into prime factors

7 = 7

14 = 7*2

16 = 2*8 = 2*4*2 = 2*2*2*2

Then we take the largest number of times it appears in all the numbers

2 appears 4 times so we take take four 2's

7 appears 1 so we take one 7


LCM = 2*2*2*2*7

LCM = 112

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If f (x)=8-5x, find the value of f(2-k)
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Hello from MrBillDoesMath!

Answer:

f(2-k) = -2 + 5k

Discussion:

If f(x) = 8 - 5x , then

f(2-k) = 8 - 5(2-k) =>

f(2-k) = 8 - 10 + 5k =>

f(2-k) = -2 + 5k

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3 years ago
 A road has a 16.7% grade.<br>Why might we want to warn drivers of a grade like this?
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8 0
3 years ago
I need a answer to this question please help
Burka [1]
  1. Since the triangles are similar, the slope of line segment AD and line segment BD are the same.
  2. The initial value and slope of the graph are 66 and 44 respectively.

<h3>Why are the two slopes the same?</h3>

Considering the two right-angled triangles (ΔABD and ΔBCE) with the following points A(2, 154), B(1, 110), D(2, 110) and E(1, 66).

Since the triangles are similar, the slope of line segment AD is given by:

Tanθ = AD/BE

Tanθ = (154 - 110)/(110 - 66)

Tanθ = 44/44

Tanθ = 1.

Also, the slopes of line segment BD is given by:

Tan∅ = BD/CE

Tan∅ = (2 - 1)/(1 - 0)

Tan∅ = 1/1

Tan∅ = 1.

Therefore, the slope of line segment AD and line segment BD are the same because θ is equal to ∅.

<h3>What are the initial value and slope of the graph?</h3>

By critically observing the graph, we can logically deduce that the initial value of this graph is 66 and it represents the shark's distance at the initial time (0 minute).

For the slope, we have:

Slope = Δy/Δx

Slope = (154 - 66)/(2 - 0)

Slope = 88/2

Slope = 44.

Read more on slope here: brainly.com/question/17601248

#SPJ1

<u>Complete Question:</u>

The graph shows the depth, y, in meters, of a shark from the surface of an ocean for a certain amount of time, x, in minutes:

Part A: Describe how you can use similar triangles to explain why the slope of the graph between points A and B is the same as the slope of the graph between points A and C.

Part B: What are the initial value and slope of the graph, and what do they represent?

6 0
2 years ago
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