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andrezito [222]
3 years ago
15

The time to complete a project is inversely proportional to number of people who are doing the project. A certain project can be

completed by 5 workers in 24 days. In order to finish the project sooner, the company plans to hire additional workers. How many workers are needed to finish the project in 15 days?
Write an inverse variation equation and solve the problem.
Mathematics
1 answer:
iogann1982 [59]3 years ago
4 0
t=\frac{k}{w}
where t is the required time to complete the project, k is a constant of proportionality, and w is the number of workers.
Plugging the given values into the equation, we get:
24=\frac{k}{5}
which gives k = 120.
If the required time to complete the project is 15 days, the equation becomes:
15=\frac{120}{w}
Solving for w, gives w = 120/15 = 8 workers.
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4

1) Examining that graph, we can see that this is a decreasing function, due to the line direction. And that the initial value is the y-intercept.

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4 0
1 year ago
Can someone please help me I have been stuck what one
Viefleur [7K]

Answer:

The inequality matches the graph is 2n + 5 ≤ 7 ⇒ A

Step-by-step explanation:

Let us solve the question

<em>From the given graph</em>

∵ The arrow starts from 1 and pointed to the left (negative part)

∵ The starting point of the arrow is bold

∴ The sign of the inequality is ≤ (smaller than or equal)

→ That means the solution of the inequality is all the numbers ≤ 1

∴ The solution of the inequality is n ≤ 1

→ Look at the choices and find which one has the sign ≤ and check if

  it will give the same solution or not

∵ The inequality is 2n + 5 ≤ 7

→ Subtract 5 from both sides

∴ 2n + 5 - 5 ≤ 7 - 5

∴ 2n ≤ 2

→ Divide both sides by 2

∴ n ≤ 1

∵ The inequality gives the same solution of the given graph

∴ The inequality matches the graph is 2n + 5 ≤ 7

4 0
3 years ago
Suppose a homeless shelter provides meals and sleeping cots to those in need. A rectangular cot measures 6 feet long by 3 ½ feet
hjlf

Answer:

6.95 feet

Step-by-step explanation:

The shape of the cot is rectangular. A diagonal of the rectangle divides the rectangle into two Congruent Right Angled triangles. The length and width of the rectangle become the legs of the right triangle and the diagonal is the hypotenuse of the right triangle.

In order to find the length of the hypotenuse which is the diagonal in this case we can use the Pythagoras Theorem. According to the theorem, square of hypotenuse is equal to the sum of square of its legs. So for the given case, the formula will be:

\textrm{(Diagonal)}^{2}=\textrm{(Length)}^{2}+\textrm{(Width)}^{2}\\\\ \textrm{(Diagonal)}^{2}=6^{2}+3.5^{2}\\\\ \textrm{(Diagonal)}^{2}=48.25\\\\ \textrm{(Diagonal)}=\sqrt{48.25}=6.95

Thus, rounded of to nearest hundredth foot, the diagonal distance from corner to corner is 6.95 feet

6 0
4 years ago
What is the ratio equivalent to 4/16?. A. 2:4. B. 6 to 20. C. 8:32. D.12 to 64
Murrr4er [49]
<span>C. 8:32
2/16 = 1/4
2:4=1:2
6 to 20 = 3:10
8:32 = 1:4
12 to 64 = 3: 16</span>
6 0
3 years ago
Read 2 more answers
Which of these groups of values plugged into the TVM Solver of a graphing
dlinn [17]

Answer:

The correct option is B,N-240;1% = 5.6; PV=-205000; PMT=;FV=0;P/Y=12; C/Y=12;

PMT: END

Step-by-step explanation:

The compounding is done monthly which is means that the number of periods for which the compounding is carried is the number of months in twenty years,which is 20*12=240

Only options B and C have N as 240.

The present worth of the loan ,which is the amount of loan is $205,000

Option B has PV=-$205,000

Option C has PV =$0

Ultimately option B which stated the loan amount correctly is the right answer.

Also,the future value of the loan is unknown,hence option B has it as $0-unknown while option C  stated it as -$205,000,which effectively means that the PV was used as FV

4 0
4 years ago
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