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11 days ago

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Tracie rides the bus home from school each day. The graph represents her distance from home relative to the number of minutes si

nce the bus left the school. What does the slope of the graph mean? Tracie’s bus travels towards her home at an average speed of mile per minute. Tracie’s bus travels towards her home at an average speed of 2 miles per minute. Tracie’s bus travels away from her home at an average speed of mile per minute. Tracie’s bus travels away from her home at an average speed of 2 miles per minute.

2 answers:

tester [3.9K]11 days ago

4 0

Answer:

1. The average speed of Tracie's bus as it heads home is $\frac{1}{2}$ miles for each minute.

Step-by-step explanation:

The graph indicates that,

the horizontal axis displays time in minutes, while the vertical axis denotes the distance remaining to home in miles.

Moreover, the function's graph descends by 1 mile every 2 minutes.

This means that, as time progresses, the distance from home reduces.

In essence, the bus is moving nearer to Tracie's residence.

Additionally, since the distance shrinks by 1 mile for every 2 minutes elapsed,

the rate of decline is calculated to be $\frac{1}{2}$ miles per minute.

<pFurthermore, $Speed=\frac{Distance}{Time}$

The slope signifies the speed of the bus as it moves towards home.

This concludes that 'Tracie's bus travels towards her home at an average speed of $\frac{1}{2}$ miles per minute.'

PIT_PIT [3.9K]11 days ago

3 0

Answer:

A. The average speed of Tracie’s bus moving toward her home is StartFraction one-half EndFraction mile per minute.

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Uma empresa transporta armários para escritórios para uma localidade distante 425km. Seu custo é de R$2,10 por km rodado. Quando

tester [3916]

Answer:

1. $14.88

2. $12.40

Step-by-step explanation:

Translated into English:

A company is responsible for transporting office cabinets over a distance of 425km. The charge is R $ 2.10 for each kilometer journeyed. If the cabinets are assembled, the vehicle can carry 60 units. When taken apart, the capacity expands by 6 times. We need to determine: 1- The cost for each assembled cabinet? 2- The savings achieved per cabinet when they are disassembled.

Solution:

For 425 km at R $2.10 per km:

425 * 2.10 = $892.50 total expenditure

For the 60 assembled cabinets, the cost for each is calculated as:

Cost per assembled cabinet = 892.5/60 = $14.875, rounding to $14.88

When disassembled, the capacity becomes:

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The savings indicate how much is saved compared to assembled cabinets:

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6 days ago

Ava wants to figure out the average speed she is driving. She starts checking her car’s clock at mile marker 0. It takes her 4 m

Inessa [3907]

Answer:

45 mph

Step-by-step explanation:

Calculate the unit rate (i.e., speed):

6 mi 60 min

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8 min 1 hr

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7 days ago

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I am looking to decrease my bill by 25%. Can you look at my current plan and tell me what I can remove to achieve this reduction

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Answer: $35

Step-by-step explanation:

The question states that the individual's current bill is $140.00 per month and they wish to reduce this amount by 25%.

To determine how much needs to be subtracted, we calculate 25% of $140.00, as follows:

= 25% of $140

= 25/100 × $140

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15 days ago

56. Mikayla is filling a glass sphere with water.

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Answer:

The least quantity of water needed to fill the sphere is $904.32\ in^{3}$

Step-by-step explanation:

We know that

The volume of the sphere (the glass sphere) can be defined as

$V=\frac{4}{3}\pi r^{3}$

We have

$r=12/2=6\ in$ ----> the radius equals half the diameter

Let’s assume

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$V=\frac{4}{3}(3.14)(6)^{3}$

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5 days ago

Elia rode her bicycle from her house to the beach at a constant speed of 18 kilometers per hour, and then rode from the beach to

Svet_ta [4321]

Answer:

Elia took $\dfrac{5}{11}$ hour to cycle from her residence to the beach, $\dfrac{6}{11}$ hour to return, and traveled

$8\dfrac{2}{11}$ kilometers from her home to the beach and

$8\dfrac{2}{11}$ kilometers on her way back.

Step-by-step explanation:

1. Let b represent the hours Elia spent cycling to the beach, and p the time taken for the return trip to the park. The combined time for both rides equals 1 hour, represented as

b + p = 1

2. With a constant speed of 18 km/h on her way to the beach, in b hours, she covered 18b kilometers. She then rode back from the beach to the park at a steady speed of 15 km/h, which amounted to 15p kilometers.

Since the distances for both trips are identical, we establish

18b = 15p

3. Solve the two equations:

$\left\{\begin{array}{l}b+p=1\\ \\18b=15p\end{array}\right.$

Using the first equation

$b=1-p$

Insert this solution into the second equation

$18(1-p)=15p\\ \\18-18p=15p\\ \\18=18p+15p\\ \\33p=18\\ \\p=\dfrac{18}{33}=\dfrac{6}{11}\\ \\b=1-\dfrac{6}{11}=\dfrac{5}{11}$

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