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julia-pushkina [17]
3 years ago
10

The amount of workers varies inversely with the time, in days, to complete a project. Five workers can complete a certain projec

t in 24 days. How many workers will be needed to complete the project in 15 days?
Mathematics
1 answer:
Feliz [49]3 years ago
6 0

9514 1404 393

Answer:

  8

Step-by-step explanation:

The number of days has gone down by a factor of 15/24. The number of workers is inversely proportional, so must increase by a factor of 24/15 = 8/5.

  (5 workers) × (8/5) = 8 workers

8 workers are needed to complete the project in 15 days.

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At the bank, Derek made 7 withdrawals, each in the same amount. His brother, John, made 5 withdrawals,
denis-greek [22]

At the bank, Derek made 7 withdrawals, each in the same amount. His brother, John, made 5 withdrawls, each in the same amount.

Let x be  the amount of one of Derek's withdrawals

Each of John's withdrawals was $5 more than each withdrawal that Derek made.

x + 5 is t the amount of one of John's withdrawals

Derek made 7 withdrawals

So amount withdraw 7 times = 7x

John made 5 withdrawals

So amount withdraw 5 times = 5(x+5)

Both Derek and John withdrew the same amount of money in the end

(A)7x = 5(x+5)

(B) Solve for x

7x = 5x + 25

Subtract 5x from both sides

2x = 25

Divide by 2

x = 12.5

(C) check your solution

we plug in 12.5 for x in 7x= 5x + 25

7(12.5) = 5(12.5) + 25

87.5 = 62.5+ 25

87.5 = 87.5

(D) Each brother withdrawal 87.5 dollars


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3 years ago
State the gradient of the line 2y = 3 - 2x.
lyudmila [28]

Answer:

Step-by-step explanation:

2y = 3 -2x

Rearrange the equation to slope-intercept form

y = -x + 3/2

Slope of line is 3/2.

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3 years ago
in a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b what is
puteri [66]

Answer:

5

Step-by-step explanation:

a=12 (height)

c=13 (hypotenous)

b=? (base)

By using Pythagoras theorm

We have, hypotenous sq=base sq+height sq

Let b =base SO, base sq=hypotenous Sq-height Sq

=>base Sq =13sq-12sq

Base Sq =169-144

Base Sq =25

Base =5 (shifting the sq)....

Hope it's helpful

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How do you use messeges on brainly mine wont work...
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Step-by-step explanation:

8 0
3 years ago
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Given T(-2,4,7) and M(-3,5,2) find the ordered triple that represents TM Then find the magnitude of TM-
Soloha48 [4]

Answer:

(D)

\overrightarrow{TM} = < 1, -1, 5 >\\|TM|= 3\sqrt{3}

Step-by-step explanation:

Given T(-2,4,7) and M(-3,5,2)

\overrightarrow{TM} = \underline{m} - \underline{t}  where m and t are position vectors.  =   - < -3, 5, 2> $ (Subtract corresponding components )$\\= < -2+3, 4- 5, 7-2 >\\= < 1, -1, 5 >

Given v=<x,y,z>, then the magnitude of v is:

|v| = \sqrt{x^2+y^2+z^2}, $thus$\\|TM| = \sqrt{(1)^2+(-1)^2+(5)^2}\\= \sqrt{1+1+25}\\ = \sqrt{27} \\= \sqrt{9*3} \\|TM|= 3\sqrt{3}

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3 years ago
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