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makvit [3.9K]
3 years ago
12

Solve and show your work below: Julie And Paulo are building a treehouse. Julie has a wood board that is 1.15 meters long and Pa

ulo has a board that is 0.7 meter long.What is the total length of the two boards ? Solve this problem any way you choose .
Mathematics
1 answer:
Firlakuza [10]3 years ago
5 0

Answer: Total length of the two boards= 1.85 meters

Step-by-step explanation:

Given: For a treehouse

Length of first wooden board =  1.15 meters

Length of second wooden board = 0.7 meters

Then by using the addition operator

Total length = Length of first board  + Length of second board

= 1.15 + 0. 7 meters

= 1.85 meters

Hence, the total length of the two boards = 1.85 meters

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Bob and James are finishing the roof of a house. Working alone, Bob can shingle the roof in 14 hours. James can shingle the same
Snowcat [4.5K]

we know that Bob can do the whole job in 14 hours, how much of the work has he done in 1 hour only?  well since he can do the whole lot in 14 hours in 1 hour he has only done 1/14 th of the job.

we know that James can do it in 18 hours, a bit slower, so in 1 hour he has done only 1/18 th of the job.

let's say it takes both of them working together say "t" hours, so in 1 hour Bob has done (1/14) of the work whilst James has done (1/18) of the work, the whole work being t/t or 1 whole, so for just one hour that'd 1/t done by both Bob and James.

\bf \stackrel{Bob}{\cfrac{1}{14}}~~+~~\stackrel{James}{\cfrac{1}{18}}~~=~~\stackrel{total~for~1~hour}{\cfrac{1}{t}} \\\\\\ \stackrel{\textit{using an LCD of 126}}{\cfrac{9+7}{126}=\cfrac{1}{t}}\implies \cfrac{16}{126}=\cfrac{1}{t}\implies 16t=126\implies t=\cfrac{126}{16} \\\\\\ \stackrel{\textit{7 hrs, 52 minutes and 30 seconds}}{t=\cfrac{63}{8}\implies t=7\frac{7}{8}}\implies \stackrel{\textit{rounded up}}{t=7.88}

7 0
3 years ago
Janet received the following grades in an accounting class at McClenan Community College: 65, 80, 70, 100, 75, and 90. The instr
Agata [3.3K]
70+75+80+90+100=415
415/5=83
<span>After the lowest grade is dropped, Janet's average would be an 83%</span>
6 0
3 years ago
The March utility bills (in dollars) of 30 homeowners are listed below. 44 38 41 50 36 36 43 42 49 48 35 40 37 41 43 50 45 45 39
Ulleksa [173]

Step-by-step explanation:

What we will do is create a table with the data they give us, the first thing will be to organize it from smallest to largest, like this:

33, 35, 35, 36, 36, 36, 37, 38, 38, 39, 40, 40, 41, 41, 41, 42, 42, 43, 43, 43, 44, 45, 45, 47, 48, 48, 49, 50, 50, 50

Now we know that the smallest number is 33 and the largest is 50, to create 5 ranges, we will calculate the difference and divide by 5.

(50 - 33) / 5 = 3.4

Therefore we will make ranges of 3 and 4, values, like this

Rank 1: 33 - 36

Rank 2: 37 - 39

Rank 3: 40 - 43

Rank 4: 44 - 46

Rank 5: 47 - 50

We will calculate the frequency distribution of values in each range:

Rank 1: 6

Rank 2: 4

Rank 3: 10

Rank 4: 3

Rank 5: 7

5 0
3 years ago
Determine if the function is one-to-one.<br><br>​
olya-2409 [2.1K]

Answer:

No

Step-by-step explanation:

From what I saw on google for what "one to one" means, It's basically meaning that the bottom of that quadratic function is at point (0 , 0) and hits both (-1 , 1) and (1 , 1) on the graph.

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3 years ago
Please help <br><br>y≥1/3x-3​
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Answer:

B, the one with the line and shaded the top on the right side. (The one that goes to 7 on the x axis).

Step-by-step explanation:

First I find which graph as y -intercept of -3, which is all of them.

Next, I find with graph has a slope of 1/3. (rise 1 run 3). Only B and D has a slope of 1/3 (The ones that has a less steep graph. )

Then, I use the coordinate (0,0) to see which side the graph shades. I plug it into the inequality. (0)≥1/3(0)-3​. Solve. Is 0 greater than -3. YES! so we shade the part where (0,0) is shaded which is B.

6 0
3 years ago
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