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Aleonysh [2.5K]
2 years ago
5

Alice has seven times the amount of pens that Maurice has. Paul has two-thirds of the amount of pens as Alice and Suzy have comb

ined. Dawn has a dozen more pens than Paul. Suzy has half the pens that Maurice has. If Suzy has 2 pens, how many does Dawn have?
Mathematics
1 answer:
zepelin [54]2 years ago
5 0

Answer:

Dawn has 32 pens.

Step-by-step explanation:

  • Let No. of pens Alice has = A
  • Let No. of pens Maurice has = M
  • Let no of pens Paul has = P
  • Let no. of pens Suzy has = S
  • Let no of pens Dawn has = D

Given :

  • A = 7M
  • P = 2/3 (A + S)  
  • D = P + 12
  • S = 1/2 M
  • If S = 2 {Given}
  • M = 4    [∵ S = 1/2 M → M = 2S = 2X(2) ]
  • A = 28  [ ∵ A = 7M → A = 7 x 4 ]
  • P = 20  [∵ P = 2/3 (A+S) → P = 2/3 (28 + 2) = 2/3 (30) ]
  • D = 32  [ ∵ D = P + 12 → D = 20 + 12 ]

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Elena is feeding her neighbor's dogs each dog gets two thirds cup of dog food and she uses three and one third cups of food how
MrRa [10]

Answer:

Total number of dogs is 5.

Step-by-step explanation:

Cups of food each dog gets=\frac{2}{3}

Here,each dog eats two-third cups of dog food.

Amount of dog food used=\frac{10}{3}

A total of three and one-third cups of food is used up.

Let the number of dogs be x.

To find the number of dogs,divide total dog food used by the amount of dog food eaten by each dog.

Hence,  x  =\frac{\frac{10}{3} }{\frac{2}{3} }

              x  =\frac{10}{2}

               x  =5

5 0
2 years ago
Convert 12080 gallons per month into liters per hour
Anastaziya [24]

In this question , we have to convert 12080 gallons per month to liters per hour .

There are 3.78541 liters in 1 gallons , and there are 30 days in a month, and 24 hours in a day .

So to convert 12080 gallons per month, we have to multiply 12080 by 3.78541 and divide the result by the product of 30 and 24. THat is

12080 gallons per month = \frac{12080*3.78541}{24*30} liters / hour

= \frac{45727.75280}{720} liters/ hour = 63.51 liters/hour

5 0
2 years ago
How many triples of the 3 positive integers (x,y,z) are products of 24
GalinKa [24]
8,8,8 would be the answer
3 0
2 years ago
A repair bill for a car is $648.45. The parts cost $265.95. The labor cost is $85 per hour. Write and solve an equation to find
zysi [14]

Answer:

( t - p ) /  85x =  h

( t - 265.95 ) /  85x  = h

648.45 - 265.95 / 85x = 3.32h

h = 3.32

Therefore ( t - p ) /  85x =  3.32

Step-by-step explanation:

648.45 - 265.95

282.50 /85

= 3.32 hrs

Finding equation to find hours can be shown as

( t - p ) /  85x =  3.32

How we found equation to find total

Parts = 19 x 14 - 5/100 = 266- 0.05

648.45 - 265.95 = 282.5

282.5/85 = 3.323  near to 3,233529

Labour = 85x  = 17 (5 + x)

Equation = 17(5+ x) + 14(19) - 5/100 = 648.45 where x = 85

Equation = ( 85x x 3  1/3) + 265 - 19/20 = t

3 0
1 year ago
The axis of the sphere below is 16 units in length. What is the surface area of the sphere?.
Nataly_w [17]
There are enough information's already given in the question. Based on those information's that answer can be easily deduced.
Radius of the sphere = 8 units
Then
Surface area of the sphere = 4 *pi * r^2
                                            = 4 * pi * (8)^2
                                            = 4 * pi * 64
                                            = 256pi
I hope that this answer has come to your help.
5 0
2 years ago
Read 2 more answers
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