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Gennadij [26K]
3 years ago
12

Janet can do a job in 3 hours, and Garry can do the same job in 2 hours. If Janet works for 1 hour before Garry comes to help, h

ow long will it take them to do it together.
Mathematics
2 answers:
lidiya [134]3 years ago
8 0

Answer:

48 minutes

Step-by-step explanation:

Given that:

Time taken by Janet = 3 hours

Janet's rate = 1/3 job / hour

Time taken by Garry = 2 hours

Garry's rate = 1/2

Rate of working together :

1/3 + 1/2 = (2 + 3) /6 = 5/6 job/hour

If Janet works for one hour before Garry joins ;

1/3 of the job has been done by Janet

1 - 1/3 = 2/3 of the job left

Hence to finish the job together, it will take :

Fraction of JOB left ÷ rate of working together

(2/3 ÷ 5/6)

= 2 /3 * 6/5

= 12 / 15

= 4 / 5 hours

To minutes

(4/5) * 60

= 240/5

= 48 minutes

Liono4ka [1.6K]3 years ago
5 0

Answer:

1 4/5

Step-by-step explanation:

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VashaNatasha [74]

Answer: x = -3.625 or -29/8

Step-by-step explanation:

7-8x+22

1. -Set it equal to 0.

7-8x+22=0

2. Subtract 7 and 22 from both the left and right sides.

7-8x+22=0

-7 -22      -7 -22

8x = -29

4. Divide both sides by 8.

8x=-29

8       8

x= -3.625

Leave it in fraction form if decimal is unacceptable.

hope this helps.

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3 years ago
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David is driving on the highway. He begins the trip with 14 gallons of gas in his car. The car uses up one gallon of gas every 2
ehidna [41]

Answer:

G = -D/20 + 14

Graph in the image attached.

Step-by-step explanation:

Using the model of a linear equation, we have:

G = aD + b

'b' is the y-intercept of the equation, that is, the inicial value of G, when D = 0.

So if David starts the trip with 14 gallons of gas, we have b = 14.

'a' is the slope of the line, that is, an increase of 1 in the value of D causes an increase of 'a' in the value of G.

So if the car uses one gallon every 20 miles, the value of a is -1/20 (an increase of 20 in D causes a decrease of 1 in G).]

So our equation is:

G = -D/20 + 14

The graph of this equation is in the image attached.

4 0
3 years ago
Simplify (2^5/3^2)^4 I need help asap within 10 min
Daniel [21]

Answer:

\frac{2^{20} }{3^{8} }

Step-by-step explanation:

Exponent Multiplication Rule :

(\frac{x^{a} }{y^{b} } )^{c} = \frac{x^{ac} }{y^{bc} }

=============================================================

Solving :

⇒ (\frac{2^{5} }{3^{2} } )^{4}

⇒ \frac{2^{5(4)} }{3^{2(4)} }

⇒ \frac{2^{20} }{3^{8} }

3 0
2 years ago
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