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djyliett [7]
3 years ago
7

It takes 2 hours for faucet A to fill a tank, and it takes faucet B 3 hours. How many hours will it take the faucet to fill the

tank together
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
4 0

Answer:

  1.2 hours

Step-by-step explanation:

A fills 1/2 tank per hour; B fills 1/3 tank per hour, so together they fill ...

  1/2 +1/3 = 3/6 +2/6 = 5/6 . . . . tank per hour

The reciprocal of this rate give the rate in the units we want:

  6/5 hours per tank.

__

At that rate, it will take 6/5 = 1.2 hours to fill the tank.

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What is the area of the original rectangle?<br> A.8cm sq<br> B.20cm sq<br> C.25cm sq<br> D.40cm sq
Bumek [7]

Answer:

A. 8 cm sq

Step-by-step explanation:

Find the scale factor

new width/original width

8/1.6=5

calculate length of original rectangle

new length/scale factor

25/5=5cm

Find area of original rectangle

A=l×w

A=1.6×5=8cm²

4 0
3 years ago
Read 2 more answers
What ere the coordinates of the point on the directed line segment from (-1,7) to (7,7) that partitions the segment into a ratio
djverab [1.8K]

Answer:

(\frac{37}{11},\frac{77}{11}  )

Step-by-step explanation:

Given two points are (-1,7) and (7,7).

We are told to find a point which is in between them at a ratio of 6:5.

Formula for calculating a point at distance of ratio m:n is given by

(\frac{mx2+nx1}{m+n} ,\frac{my2+ny1}{m+n} )

where (x1,y1),(x2,y2) are the inital and final points.

(x1,y1)=(-1,7)\\\\(x2,y2)=(7,7)

also m:n=6:5 ,

by substituting all the values we get,

(\frac{6*7+5*-1}{11} ,\frac{6*7+5*7}{11} )

(\frac{37}{11},\frac{77}{11}  )

5 0
3 years ago
76.11 Multiply fractions and mixed numbers: word problems 5N)
maria [59]

Answer:

Kendra ate 1/4 pounds of blueberries.

Step-by-step explanation:

The amount of blueberries Sean had  =  1/3 pound

The amount of blueberries Kendra ate  = 3/4 of Total available

= 3/4 of (1/3 pounds)

Now, we need to find out the 3/4 amount of 1/3 pound.

3/4 of 1/3 pound  = \frac{3}{4}  \times \frac{1}{3}   = \frac{1}{4 }

⇒ 3/4 of the amount 1/3 pound  = 1/4 pound

Hence Kendra ate 1/4 pounds of blueberries.

8 0
3 years ago
1. Flight 202's arrival time is normally distributed with a mean arrival time of 4:30
Bezzdna [24]

Answer:

Step-by-step explanation:

1) Let the random time variable, X = 45min; mean, ∪ = 30min; standard deviation, α = 15min

By comparing P(0 ≤ Z ≤ 30)

P(Z ≤ X - ∪/α) = P(Z ≤ 45 - 30/15) = P( Z ≤ 1)

Using Table

P(0 ≤ Z ≤ 1) = 0.3413

P(Z > 1) = (0.5 - 0.3413) = 0.1537

∴ P(Z > 45) = 0.1537

2)  By compering (0 ≤ Z ≤ 15) ( that is 4:15pm)

P(Z ≤ 15 - 30/15) = P(Z ≤ -1)

Using Table

P(-1 ≤ Z ≤ 0) = 0.3413

P(Z < 1) = (0.5 - 0.3413) = 0.1587

∴ P(Z < 15) = 0.1587

3) By comparing P(0 ≤ Z ≤ 60) (that is for 5:00pm)

P(Z ≤ 60 - 30/15) = P(Z ≤ 2)

Using Table

P(0 ≤ Z ≤ 1) = 0.4772

P(Z > 1) = (0.5 - 0.4772) = 0.0228

∴ P(Z > 60) = 0.0228

6 0
2 years ago
What is 9847.04 rounded to the nearest hundreth
Ainat [17]
It's already rounded to the nearest hundredth. Hundredth's place is the position of the second digit to the right of to the decimal point.
5 0
3 years ago
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