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Alja [10]
2 years ago
12

You are checking the intermediate results of a phone app that calculates the weight of an object in kilograms given the weight i

n pounds. The particular calculation you are checking, shown below, is for an input weight of 142 pounds and outputs 29.3 kilograms. What is the first step that has an error, and why is it an error?

Mathematics
1 answer:
Illusion [34]2 years ago
4 0

The wrong step is step 4, because you only need one conversion.

The formula to convers pounds to kilograms is

\text{weight in pounds} = 2.2 \times \text{weight in kilograms}

Obviously, the inverse formula is

\text{weight in kilograms} = \cfrac{\text{weight in pounds}}{2.2}

So, you're given an input of 142 pounds. To convert it in kilograms, plug that value into out formula:

\text{weight in kilograms} = \cfrac{142}{2.2} \approx 64.5

and this is the answer you're looking for, so you need no more steps.

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Samuel was riding in the back seat of the station wagon on the way home after a long and tiring day at the
ki77a [65]

Answer: One fourth of the entire trip.

Step-by-step explanation:

The initial distance is D.

" He fell asleep halfway home."

Then he fells asleep when the distance between his actual position and his house was half of D, or:

D/2.

"He didn't wake up until he still had half as far to go as he had already

gone while asleep."

So he wakes up when his actual position is a fourth of the initial distance:

(D/2)/2 = D/4.

Then if the entire trip has a distance D, and he was sleeping between:

D/2 - D/4 = 2D/4 - D/4 = D/4.

in a trip of a distance D, he was asleep a distance of D/4.

Then, returning to the question:

How much of the entire trip home was Samuel asleep?

This is equal to the quotient between the distance that he travels asleep and the total distance:

r = (D/4)/D = 1/4.

Then he was asleep in 1/4 of the entire trip.

7 0
2 years ago
A random number generator is used to create a list of 150 single-digit numbers. Of those 150 numbers, 72 are odd and 78 are even
Artemon [7]

Answer:

38%

Step-by-step explanation:

Option: 38%.

Total number of numbers: 150

Number of odd numbers: 72

Number of nines: 15

Number of odd numbers other than nine: 72 - 15 = 57

Probability = [number of odd numbers other than nine] / [total number of numbers] = 57/150 = 0.38

0.38 = 38%

4 0
2 years ago
Ishmael bought a brand new bag of green, yellow, and red marbles. There are 40 marbles in the bag. 1/4 of the marbles are yellow
VikaD [51]

Answer:

there are 10 red marbles, 10 yellow marbles and 10 green marbles.

Step-by-step explanation:

think 1/4. the 4 is the same as 40 so if there is 1 that would be 10. so the rest of the colors are all 10 marbles:)

3 0
2 years ago
Based upon statistical studies, it takes about one-third less time for fans to exit a game as it does for them to enter and find
Mice21 [21]
<span>Given data shows that 1/3 time less time for fans to exit a game as it does for them to enter and find their seats. Ingress for the stadium = 3,000 fans per hour Ingress rate = (1 - 1/3) x Egress rate = 2/3 Egress rate Egress rate = 3/2 ingress rate = 3/2 x 6,000 = 9,000 fans per hour</span>
8 0
2 years ago
Read 2 more answers
Matt can buy and 8 ounce jar of salsa for $2.79 or a 15 ounce jar of salsa for $5.54 which jar has the best unit rate
sasho [114]

Answer:

8 ounce jar

Step-by-step explanation:

We divide the price by the number of ounces to find the unit rate or cost per one ounce.

2.79/8=0.34875

5.54/15=0.3693

The 8 ounce jar has the best unit rate with a lower cost per ounce.

5 0
2 years ago
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