Paul filled pint containers with 440 cups of water. How many pint containers did Paul need? 1 pint = 2 cups

Answers

Answer 1
Answer: For this case we can make the following rule of three:
 1pint ------> 2cups
 x -----------> 440 cups
 Clearing x we have:
 x = (440/2) * (1)
 x = 220 pint containers.
 Answer:
 
Paul needs about:
 
x = 220 pint containers.
Answer 2
Answer: Paul would have 220 pint containers!

440/2 =220

Because 1 pint = 2 cups

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42 gallons in 8 minutes. What is the unit rate?

Answers

The unit rate would be gallons per minute.

Divide total gallons by total minutes:

42/8 = 5.25

Unit rate = 5.25 gallons per minute

Which is the better buy?17-ounce jar of pickles for $8.84
2-pound jar of pickles for $25,28

Answers

Answer:

The 17 ounce. Less money per pickle.

Step-by-step explanation:

1 pound = 16 ounce
2 pound = 32 ounce
8.84/17 = $0.52 per ounce
25.28/32 = $0.79 per ounce

Based on those, the 17 ounce jar has a better deal

5. The length of similar components produced by a company are approximated by a normal distribution model with a mean of 5 cm and a standard deviation of 0.02 cm. If a component is chosen at random a) what is the probability that the length of this component is between 4.98 and 5.02 cm

Answers

Answer:

the probability that  he length of this component is between 4.98 and 5.02 cm is 0.682 (68.2%)

Step-by-step explanation:

Since the random variable X= length of component chosen at random , is normally distributed, we can define the following standardized normal variable Z:

Z= (X- μ)/σ

where μ= mean of X  , σ= standard deviation of X

for a length between 4.98 cm and 5.02 cm , then

Z₁= (X₁- μ)/σ =  (4.98 cm - 5 cm)/0.02 cm = -1

Z₂= (X₂- μ)/σ = (5.02 cm - 5 cm)/0.02 cm = 1

therefore the probability that the length is between 4.98 cm and 5.02 cm is

P( 4.98 cm ≤X≤5.02 cm)=P( -1 ≤Z≤ 1) = P(Z≤1) - P(Z≤-1)

from standard normal distribution tables we find that

P( 4.98 cm ≤X≤5.02 cm) = P(Z≤1) - P(Z≤-1) = 0.841 - 0.159 = 0.682 (68.2%)

therefore the probability that  he length of this component is between 4.98 and 5.02 cm is 0.682 (68.2%)

The question is: 5 < b - 3

Answers

Answer:

8 <b

Step-by-step explanation:

5 < b - 3

Add 3 to each side

5+3< b-3+3

8 <b

Answer:

8 < b

Step-by-step explanation:

1. Add 3 by both sides to eliminate the -3 on b - 3.

2. You get 8 < b.

You have $1000 to invest in two different accounts. To save the money you need for college, you need to average 5.7 percent interest. If the two accounts pay 4 percent and 6 percent interest, how much should you invest in each account?$550 in 4%, $450 in 6%
$300 in 4%, $700 in 6%
$700 in 4%, $300 in 6%
$150 in 4%, $850 in 6%

Answers

9514 1404 393

Answer:

  $150 in 4%, $850 in 6%

Step-by-step explanation:

The fraction that must earn the highest rate is ...

  (5.7 -4.0)/(6.0 -4.0) = 1.7/2 = 0.85

That is 0.85 × $1000 = $850 must be invested at 6%. Matches the last choice.

_____

If you let x represent the amount that must earn 6%, then the total interest earned must be ...

  x·6% +(1000 -x)·4% = 1000·5.7%

  x(6 -4) = 1000(5.7 -4) . . . . . . multiply by 100, subtract 4·1000

  x = 1000·(5.7 -4)/(6 -4) = 850 . . . . as above

I WILL MARK BRAINLIEST !!!Choose the slope and y-intercept that correspond with the graph.​

Answers

Answer:

slope -1/3 and y-intercept is -1

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation: