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ipn [44]
3 years ago
11

Nicole has a stack of 50 dishes to wash. It took her 2 minutes to wash 8 dishes. At this rate, how long will it take Nicole to w

ash all 50 dishes?
Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
3 0
8 dishes/2 minutes
4 dishes a minute
50 dishes/4
12 and a half minutes
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Which expression represents the distance, in miles, between Paige's house and Diego's house?
lana [24]
Distance between <span>Paige's house and Diego's house 
=
|3 - (-8)| = |11| = 11 miles

answer
</span>|3 - (-8)|
4 0
3 years ago
A group of 42 people are going to a restaurant. Each table at the restaurant can seat 6
jenyasd209 [6]

Answer: Okay the numbers you put was confusing but I think I got it.

42÷6=x

Step-by-step explanation:if 6 can sit a a table then dividing the number of people by 6 gives the answer.

3 0
2 years ago
Read 2 more answers
9mph in still water it takes 5hrs longer to travel 74 miles upstream than downstream find the rate of current and round to neare
prohojiy [21]

Answer:

The rate of current is 2.5 mph.

Step-by-step explanation:

The speed in the water when current is absent is 9 mph.

If the speed of the current is v mph then the upstream speed is (9 - v) mph and the downstream speed is (9 + v) mph.

Now, it takes 5 hours longer to travel 74 miles upstream than down stream, then we can write the equation as  

\frac{74}{9 - v} - \frac{74}{9 + v} = 5

⇒ \frac{2v}{81 - v^{2} } = \frac{5}{74}

⇒ 148v = 405 - 5v²

⇒ 5v² + 148v - 405 = 0

Applying Sridhar Acharya's formula we can write  

v = \frac{-148 + \sqrt{148^{2} - 4(5)(-405) }  }{2(5)} (Neglecting the negative root)

⇒ v = \frac{- 148 + 173.2166}{10} = 2.5 mph (Rounded to the nearest 10th) (Answer)

7 0
3 years ago
Suppose a research firm conducted a survey to determine the average amount of money steady smokers spend on cigarettes during a
olchik [2.2K]

Answer:

option (b) 0.0228

Step-by-step explanation:

Data provided in the question:

Sample size, n = 100

Sample mean, μ = $20

Standard deviation, s = $5

Confidence interval = between $19 and $21

Now,

Confidence interval = μ ± z\frac{s}{\sqrt n}

thus,

Upper limit of the Confidence interval = μ + z\frac{s}{\sqrt n}

or

$21 =  $20 + z\frac{5}{\sqrt{100}}

or

z = 2

Now,

P(z = 2) = 0.02275                       [From standard z vs p value table]

or

P(z = 2) ≈ 0.0228

Hence,

the correct answer is option (b) 0.0228

3 0
2 years ago
They estimate that their current (older) fridge, which they got for free, costs them about $17 a month in electricity charges to
Eddi Din [679]

Step-by-step explanation:

Step one:

given

current (older) fridge

electricity charges= $17 monthly

maintenance costs= $220

let the number of months be x

and the total cost be yo

the expression for the cost for the old fridge is

yo=220+17x---------1

New  fridge

electricity charges= $6 monthly

costs=  $1,050

let the number of months be x

and the total cost be yn

the expression for the cost for the old fridge is

yn= 1050+6x---------2

Hence the system of equation for the situation is

yo=220+17x---------1

yn= 1050+6x---------2

Step two

for 10 years there are 12*10= 120 months

put x= 120 in both expressions and compare the total

yo=220+17(120)---------1

yo=220+2040

yo=$2,260

yn= 1050+6(120)---------2

yn=1050+720

yn=$1770

<u><em>Based on the analysis it will be less expensive to get the new fridge, hence buying the new fridge is worth it.</em></u>

3 0
3 years ago
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