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lys-0071 [83]
3 years ago
15

Tiana can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. If they decide to clear the fi

eld together, how long will it take them?
Mathematics
1 answer:
Marianna [84]3 years ago
8 0
You must find the relative rates of both workers...

T=f/3 and J=f/2  so if they work together to clear the field then:

ft/3+ft/2=f  make all terms have a common denominator of 6

(2/2)(ft/3)+(3/3)(ft/2)=(6/6)f

2ft/6+3ft/6=6f/6  multiply both sides by 6

2ft+3ft=6f  divide both sides by f

2t+3t=6  combine like terms on left side

5t=6  divide both sides by 5

t=6/5 hr

t=1 1/5 hr

t=1 hr 12 min
You might be interested in
3 numbers are in arithmetic progression their sum is15 and their product is 80 determine the 3 numbers
Mashcka [7]

Answer:

2, 5, 8

Step-by-step explanation:

For starters, let us assume that the numbers are x-d, x, and x+d.

Where d is the common difference between terms.

This mean that we can say, from the question

x-d + x + x+d = 15

3x = 15,

x = 5,

This means that the terms are 5, 5-d and 5+d.

On the other hand,

(5-d) * 5 * (5+d) = 80

(5-d) * (5+d) = 80/5

(5-d) * (5+d) = 16

25 - d² = 16

d² = 9

d = + or - 3.

Finally, the three numbers will be 2, 5, and 8. On the flipside, their sum and product are 15 and 80.

6 0
3 years ago
Mis Brown graded 84 papers. If the ratio of science papers to math papers is 2:10 how many math papers did she grade?​
mr Goodwill [35]

Answer:

70

Step-by-step explanation:

2 + 10 = 12

84 ÷ 12 = 7

7 x 10 = 70

She graded 70 maths papers and 14 science papers.

5 0
3 years ago
A ski lift is modeled by the function f(x) = (0.2)(–2x 3 + 23x 2 + 25x + 50), where x is the time in seconds. When it comes out
puteri [66]

Answer:

A ski lift is modeled by the function f(x) = (0.2)(–2x 3 + 23x 2 + 25x + 50), where x is the time in seconds. When it comes out of the first stop, it is now climbing toward its highest point from the ground. During which time interval will the ski lift reach a height over 50 feet above the ground?

6 0
3 years ago
Read 2 more answers
Determine whether the relation is or is not a function.
soldier1979 [14.2K]

Answer:

Not a function because it does not pass the Vertical Line Test.

5 0
3 years ago
Using the method of substitution solve the problem need help completely loss if you can do it quickly it would help
miv72 [106K]
Equation 1)  y=x+3
Equation 2)  y=2x+5

Rearrange both equations so that (x) and (y) are on the same side.

1) -x+y=3
2) -2x+y=5

Subtract equations with each other.

x=-2

Plug in -2 for (x) in equation 1.

y=(-2)+3

Simplify.

y=1

(-2, 1)

~Hope I helped!~
3 0
3 years ago
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