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Norma-Jean [14]
1 year ago
13

Today, John ran 15 miles in 2 hours and 30 minutes. He wants to represent the relationship between the distance he ran, in miles

, and the time, in hours, as proportional in order to examine his times at various distances. Write an equation that John can use to represent a proportional relationship between distance, d, in miles, and time, t, in hours.
Mathematics
1 answer:
jeyben [28]1 year ago
3 0

Answer:

d = 6t

Step-by-step explanation:

Firstly, lets change the 2 hours and 30 minutes to 2.5 hours, you could devide the time in minutes by 60 to get that number 2[hours]+(\frac{30}{60})[minutes to hours] = 2.5Hours.

Anyway, John ran 15 miles in 2.5 hours which means he ran (15÷2.5) in one hour which is equal to 6miles per hour. That means if you multiply the hours he ran by 6 you will get the miles he ran.

So the answer would be:

d = 6t

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Suppose the coefficient matrix of a system of linear equations has a pivot position in every row. Explain why the system is cons
kap26 [50]

Answer:

If in each row of the supposed coefficient matrix, there is a pivot position. Therefore, it is true that the bottom row of the coefficient matrix also has a pivot position. As a result, there will not be space for the augmented column to have a. Thus, we say the system is consistent.

Step-by-step explanation:

In the problem, we have a coefficient matrix comprising linear equations. If in each row of the supposed coefficient matrix, there is a pivot position. Therefore, it is true that the bottom row of the coefficient matrix also has a pivot position. As a result, there will not be space for the augmented column to have a. Thus, we say the system is consistent based on the theorem.

7 0
1 year ago
Business services ordered a chair that cost $220.59. Upon arrival they received an invoice for $261.47. If the California sales
sladkih [1.3K]

Answer:

Cost of shipping and handling = $23.453

Step-by-step explanation:

Given

Price of Chair=$220.59

Tax=7.9%

Invoice Price=$261.47

In order to find the cost of shipping and handling, we have to subtract the cost of chair and the tax from the invoice price of chair.

To find the tax,

Tax amount=220.59*0.079

=$17.42661

Now,

Cost of shipping and handling=$261.47-$220.59-$17.42661

=$23.453 ..

6 0
2 years ago
Read 2 more answers
A cake has a mass of 2.5kg. It contains 275g of fruit. What percentage of fruit is there in the cake
Travka [436]
The answer is:  "11 %" . 
__________________________________
There is 11% of fruit in the cake.
______________________________
Explanation:
____________________________________

275g is what percent of 2.5 kg?  

First, convert "275 g" into "kg".

Note the exact conversion:  1000 g = 1 kg .  

So 275 g = (275/1000) kg  = 0.275 kg .


0.275 kg = (n/100) * 2.5 kg ; 

→ (n/100) * 2.5 = 0.275 ;
____________________________
Divide each side by "(2.5)" 
______________________
→ (n/100) = (0.275) / (2.5) ;

→ (n/100) = 0.11 ;

Multiply each side by "100" ; 

n = 11 . 
________________________________________
The answer is:  11 % .
________________________________________
8 0
2 years ago
Read 2 more answers
plz help me. its " joseph runs 2/3 of a mile in 8 minutes. if joseph runs at that speed, how long will it take him to run 1 mile
Mandarinka [93]

Answer:

He runs 2/3 mile in 8 mins, he runs one mile in 12 mins

7 0
2 years ago
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In April and May of 2011, the Pew Research Center surveyed cell phone users about voice calls and text messaging. They surveyed
sleet_krkn [62]

Answer:

D. We can be 95% confident that the proportion of all cell phone users who use text messaging is between 73.1% and 76.9%.

Step-by-step explanation:

The interpretation of a confidence interval of level x% means that we are x% sure that the interval contains the true mean of the population.

In this problem, we have that:

The population are all the cell phone users.

The 95% confidence interval is (73.1%, 76.9%).

Which of the following is an appropriate interpretation of the 95% confidence interval?

D. We can be 95% confident that the proportion of all cell phone users who use text messaging is between 73.1% and 76.9%.

3 0
1 year ago
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