All categories

3 years ago

The amount of blueberries picked, in pounds, varies directly as the number of hours worked. After

Mathematics

2 answers:

Alekssandra [29.7K]3 years ago

8 0

Answer: Hello there!

We know that the number of blueberries picked varies directly as the number of hours worked.

Direct variation means that: b = kh

where b is the number of blueberries, k is a constant of proportionality and h is the number of hours worked.

we know that in 10 hours there are 30 pounds of blueberries collected, then we can replace these numbers in the equation and solve it for k. And you want that I don't include units in the answer, so I will not include them.

30 = k*10

k = 30/10 = 3

Then the constant of proportionality is 3, whit is the amount of punds of blueberrys collected in one hour.

OverLord2011 [107]3 years ago

4 0

Answer:

Step-by-step explanation:

3 pounds were picked per hour

You might be interested in

Baseball hat is on sale for 15% off, which is $2.70. How much does the baseball hat cost at full price?

lidiya [134]

Answer:

27.9 dollars

Step-by-step explanation:

2.70= 15 percent

2.70x2=5.4=30 percent

5.4+2.70=8.1=45 percent

8.1x2=16.2=95 percent

95 percent + 15 percent=18.9

18.9=105 percent

in order to subtract 5 percent we need to find 5 percent by dividing 2.70 by 3

which = .9

18.9+9=27.9

100 percent is 27.9 dollars

4 0

2 years ago

Please help me thank you so much. Just not sure of my answers

Sedaia [141]

Answer:

An interesting experiment is given. We need to address various questions based on our knowledge of calculus.

Step 2

Part (a)

Time taken for the radius to grow to 2 cm = t1 = r/0.5 = 2/0.5 = 4 hours

Time taken for the radius to become 0 = t2 and the same can be obtained by solving:

r = 2 - √t2 = 0

Hence, t2 = 22 = 4 hours

Hence, the time duration of the entire experiment (from the introduction of the bacteria until its disappearance) = t1 + t2 = 4 + 4 = 8 hours

Step 3

Part (b)

r(t) = 0.5t for 0 ≤ t ≤ 4

and

r(t) = 2 - √(t - 4) for t > 2

Step-by-step explanation:

7 0

3 years ago

The number of electrical outages in a city varies from day to day. Assume that the number of electrical outages ( x ) in the cit

svlad2 [7]

Answer:

0.26 and 0.577

Step-by-step explanation:

Given :

x :___0 ___ 1 ____ 2 ____ 3

f(x):_0.80 _0.15__0.04 __0.01

The mean :

E(X) = Σ(x * p(x))

E(X) = (0*0.8) + (1*0.15) + (2*0.04) + (3*0.01)

E(X) = 0 + 0.15 + 0.08 + 0.03

E(X) = 0.26

Var(X) = Σx²*p(x)) - E(x)²

Σx²*p(x)) = (0^2*0.8) + (1^2*0.15) + (2^2*0.04) + (3^2*0.01) = 0.4

Σx²*p(x)) - E(x)² = 0.4 - 0.26² = 0.3324

Std(X) = √0.334 = 0.577

7 0

3 years ago

In triangle ABC, a = 9, c = 5, and B = 120°. Find b2.

valentinak56 [21]

I believe the correct answer is 151

8 0

3 years ago

the price of a cup of coffee has dropped to $2.20 today. Yesterday's price was $2.35. Find the percentage decrease. Round your a

notka56 [123]

Answer:

6.4%

Step-by-step explanation:

percentage decrease= decrease/actually amount×100

2.35-2.20/2.35×100

0.15/2.35×100

0.06383×100=6.4%

Percentage decrease=6.4%

6 0

1 year ago