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saveliy_v [14]
2 years ago
10

A coffee bean processor can dry 4,815 pounds of coffee beans in 3 hours which unit rate correctly reflects the speed of the proc

essor
Mathematics
2 answers:
zimovet [89]2 years ago
7 0

Answer:

605 pounds/hour

Step-by-step explanation:

Given that a coffee bean processor can dry 4815 pounds of coffee in 3 hours.

We have to find the speed of the processor

By speed of the processor here we mean the unit rate i.e. no of pounds of coffee beans that the processor can process in one hour.

This is a question of direct variation

Since we have for 3 hours 4815

for 1 hour =\frac{4815}{3} =605 pounds/hour

So answer is 605 pounds/hour

Verify:

If unit rate is 605 pounds/hour, for 3 hours =605(3) = 4815 pounds

Thus verified

11Alexandr11 [23.1K]2 years ago
7 0

Answer:

26.75

Step-by-step explanation:

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Claire for to a show sale. Everything on the shelf is 35% off the marked price. She falls in love with a pair of red heels that
lyudmila [28]
Percentage of discount on the Marked price = 35%
Marked price of the pair of red heels that Claire falls in love with = $64.99
Then
Amount of discount on the
marked price of the pair of red heels = (35/100) * 64.99 dollars
                                                           = 0.35 * 64.99 dollars
                                                           = 22.746 dollars
                                                           = 22.75 dollars
Then
Price of the red heels after discount = (64.99 - 22.75) dollars
                                                           = 42.24 dollars
Percentage of sales tax that needs to be given by Claire = 7.5%
Amount of sales tax that needs to be given by Claire = (7.5/100) * 42.24 dollars
                                                                                     = 316.80/100 dollars
                                                                                     = 3.168 dollars
                                                                                     = 3.17 dollars
Then
The total price of the
red heels that Claire has to pay = (42.24 + 3.17) dollars
                                                   = 45.41 dollars
So Claire has to pay a total of $45.41 for the pair of red heels she has fallen in love with.
8 0
2 years ago
A scale model of a house is 1 ft. long. The actual house is 50 ft long. In the model, the window is 1 1/5 in. high. How many fee
stich3 [128]
First, identify the ratio:
1:50 (1 foot on the model is 50 feet on the house)
to find the actual height of the window multiply 1 1/5 by 50
\frac{6}{5}*\frac{50}{1}=\frac{300}{5}
300/5 simplifies into 60
the height of the real window is 60 feet 

6 0
2 years ago
The equation y = 1.55x + 110,419 approximates the total cost, in dollars, of raising a child in the united states from birth to
Andru [333]

Answer:

The correct option is A). $112295.05

Step-by-step explanation:

The equation for approximating the total cost is given to be :

y = 1.55x + 110419 , where x is the annual household's income and y is the total cost in dollars of raising a child in the united states from birth to 17 years

We need to calculate the total cost of raising a child in the united states from birth to 17 years if the annual household's income is given to be $1211

So, for this we will use the given equation and substitute x = 1211 and find the value of y which will be our total cost

⇒ Total cost , y = 1.55 × 1211 + 110419

⇒ y = 1877.05 + 110419

⇒ y = 112296.05 ≈ 112295.05

Hence, The approximate total cost of raising a child from birth to 17 years in a household with a weekly income of $1211 = $112295.05

Therefore, The correct option is A). $112295.05

8 0
2 years ago
A given set of values is found to be a normal distribution with a mean of 140 and a standard deviation of 18.0. Find the value t
Alisiya [41]

Answer:

The value that is greater than 45% of the data values is approximately 137.84.

Step-by-step explanation:

The key is transforming values from this distribution to a z-score range and finding the corresponding value using a z-score table.

We are looking for a value x which attains a critical z-score that corresponds to the (100-45)%=55-th percentile:

z_{0.55} = \frac{x-\mu}{\sigma}=\frac{x-140}{18}\implies x = 18\cdot z_{0.55}+140

The critical z value (from z-score table, online) is: -0.12, so:

x = 18\cdot z_{0.55}+140=18\cdot(-0.12)+140\approx137.84

The value that is greater than 45% of the data values is approximately 137.84.


5 0
2 years ago
Read 2 more answers
a shark can swim 24 meters in 36 seconds. at this rate, how far, in meters, will the shark swim in 2 minutes?​
blagie [28]

Answer:80 meters

Step-by-step explanation: 24 meters = 36 secs

2 mins = 120 secs

Cross multiply

24×120/36

= 80 meters

Hope I helped you!!

8 0
2 years ago
Read 2 more answers
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