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3 years ago

. Sophie is playing outside with her friends; some of their time outside is sketched in the graph below.

Mathematics

1 answer:

Taya2010 [7]3 years ago

3 0

Answer:

At the origin, or (0,0), they were still at the original location.

Then, they traveled 40 meters and stayed there for a long time. We can see this because the distance increased at first and then stayed the same, shown by a straight line. They could've run around and then took a break and sat down.

Then, they traveled very fast to another location, shown by the exponential growth, and stayed there for a while, shown by the straight line. They could've biked somewhere like a restaurant and ate there.

Then, they took one long trip back to the original spot, shown by the straight line and how the distance decreased.

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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

Juan owes his cousin, Benito, $10.00. Benito is tired of waiting for Juan to pay him back. To try and get Juan to pay up more qu

AleksAgata [21]

Answer:

Equation: 10+x= 15 +0.5x

Time: 10 days

Amount: 20$

Step-by-step explanation:

Equation for Benito:

10 + x*1

Equation for Tavon:

15 + x*0.5

Since the sums equalize at some time, we get:

10+x= 15 +0.5x
x - 05x = 15- 10
0.5x = 5
x= 5/0.5
x= 10 days

After 10 days, Juan will owe both Benito and Tavon $20

7 0

3 years ago

Form a quadratic equation with roots (1+√3) and (1-√3)

Alborosie

Answer:

hope this helps u

I guess

7 0

2 years ago

Given the first three terms of a linear sequence: 3x – 2;x+9; 2x + 5 Determine the value of x.

Yuliya22 [10]

Answer:

x = 5

Step-by-step explanation:

The difference between consecutive terms will be equal , then

a₂ - a₁ = a₃ - a₂ , that is

x + 9 - (3x - 2) = 2x + 5 - (x + 9) ← distribute parenthesis on both sides

x + 9 - 3x + 2 = 2x + 5 - x - 9 , simplify both sides

- 2x + 11 = x - 4 ( subtract x from both sides )

- 3x + 11 = - 4 ( subtract 11 from both sides )

- 3x = - 15 ( divide both sides by - 3 )

x = 5

5 0

3 years ago

Read 2 more answers

Use the pythagorean theorem to find the missing side. Round your answer to the nearest tenth

Monica [59]

Answer:

x=14.02

Step-by-step explanation:

Use b= $\sqrt{c^2-a^2}$ to solve for the missing side in the triangle. You will get a rounded answer of 8.49. Then you multiply that by 2 and subtract that value from 31. Then that will be your answer.

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2 years ago