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zalisa [80]
4 years ago
8

Three people who work full-time are to work together on a project, but their total time on the project is to be equivalent to th

at of only one person working full-time. If one of the people is budgeted for one-half of his time to the project and a second person for onethird of her time, what part of the third worker’s time should be budgeted to this project? A. 1/3 B. 3/5 C. 1/6 D. 1/8
Mathematics
2 answers:
pantera1 [17]4 years ago
5 0
The problem tells us that the fractions of time worked by the three people need to be equivalent to one person working full time.  This means that the fractions need to add up to one.  We know one person works one-half (1/2) time on the project and another works one-third (1/3) time. Let x = the amount of time that the third person needs to work on the job to add up to one 1 = 1/2 + 1/3 + x 1 - 1/2 - 1/3 = x To subtract the fractions we need to put them all over a common denominator.  Let's use 3*2 = 6 as the denominator; so 1 = 6/6, 1/2 = 3/6, 1/3 = 2/6: 6/6 - 3/6 - 2/6 = x 1/6 = x The third person must work 1/6 time on the project.
Nataliya [291]4 years ago
3 0
I think that it is A.  because it is less than the otehrs
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Oleg, Sasha, and Dima share 600 toys. Sasha has twice as many toys as Oleg. Dima has 40 more toys than Oleg. How many toys does
Anika [276]

Answer: 140

Oleg, Sasha, and Dima shared 600 toys. Sasha had twice as many toys as Oleg. Dima had 40 more toys than Oleg.

Let the number of toys Oleg has = x

Let the number of toys Sasha has = y

Let the number of toys Dima has = z

Sasha had twice as many toys as Oleg

So y = 2*x= 2x

Dima had 40 more toys than Oleg.

z = x + 40

Oleg, Sasha, and Dima shared 600 toys

x + y + z= 600

We know y=2x and z=x+40

Replace it for y and z

Subtract 40 on both sides

Divide by 4 on both sides

Oleg had 140 toys

Step-by-step explanation:

6 0
4 years ago
Help me pls <br>list the elements of the set A'​
Georgia [21]

Answer:

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7 0
3 years ago
What are some decimals for - 9/4 other than -2.25
allsm [11]

Answer:

There are no other decimals for -9/4 other than -2.25.

Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
the height of a triangle is 9m less than its base. the area of the triangle is 56 m^2 find the length of the base (SHOW STEPS)
Veronika [31]
Hey there :)

We know the area formula of a triangle
\frac{1}{2} (base)(height)

We are given:
The area = 56 m²
The base = let p represent this
The height = 9 m less than the base = p - 9

Apply the formula
56 = \frac{1}{2} × ( p ) × ( p - 9 )
56 = \frac{1}{2} × ( p² - 9p )

Divide \frac{1}{2} on both sides
56 ÷ \frac{1}{2} = p² - 9p
112 = p² - 9p

Bring 112 to the other side and equate equation to 0
p² - 9p - 112

Factorise { Sum = -9 , Product = - 112 , therefore suitable factors = - 16 × 7 )
( p - 16 )( p + 7 ) = 0
     ↓          ↓
 p = 16    p = - 7  ←  Reject p = - 7 since length cannot be negative

So, the length  of the base is 16 m

Check:
56 m² = \frac{1}{2} × 16 × ( 16 - 9 )
56 m² = 8 × 7
56 m² = 56 m²
7 0
3 years ago
Solve equation x/6+4=15
RoseWind [281]

x/6+4= 15


Subtract 4 from both sides; 4s cancel each other out

x/6+4-4= 15-4


x/6= 11


multiply both sides by 6 to eliminate fraction (multiply by reciprocal of 1/6)

(x/6)(6)= (11)(6)


x= 66



ANSWER: x= 66


Hope this helps! :)

8 0
4 years ago
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