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scoundrel [369]
3 years ago
13

Mr. Baker is driving 100 miles. His average speed, to the nearest 2 miles per hour, is 56 miles per hour. What is the range of p

ossible values
for t, the total time of the drive in hours?

A

1.79
B

1.72 < t < 1.85

с

1.72
1.75 < t < 1.82
Mathematics
1 answer:
Alexus [3.1K]3 years ago
6 0

Answer:

1.72 ≤ t ≤ 1.85

Step-by-step explanation:

Given :

Distance = 100 miles ;

Speed = 56 miles per hour, to the nearest 2 miles per hour

Hence, the speed range is :

(56 - 2) mph ; (56 + 2) mph

Range of possible Time taken, t :

Distance / speed ;

100 / 58 ≤ t ≤ 100 / 54

1.72 ≤ t ≤ 1.85

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Derek owns a landscape business. He charges a fixed fee of $30 plus $1 per 1,000 square feet of lawn mowed. Derek's earnings (in
luda_lava [24]

From the given problem statement alone, we can say that the equation relating the area of the lawn mowed and the earnings has a linear relationship. That is because there is a constant increase in the earnings per area which is $1 per 1000 square feet.

Therefore the equation must be in the form of:

y = m x + b

where,

y = is the total earnings

m = is the fee per area = 1 / 1000

x = is the area of the lawn

b = is the fixed fee = 30

 

Therefore the equation becomes:

y = 0.001 x + 30

 

Rewriting this in terms for x since we are to find the area:

x = (y – 30) 1000

 

when y = 204

x = (204 – 30) 1000 = 174,000 square feet

 

when y = 344

x = (344 – 30) 1000 = 314,000 square feet

 

when y = 450

x = (450 – 30) 1000 = 420,000 square feet

 

when y = 482

x = (482 – 30) 1000 = 452,000 square feet

 

when y = 504

x = (504 – 30) 1000 = 474,000 square feet

8 0
3 years ago
There are 20 players on a soccer team. From them, a captain and an alternate captain have to be chosen. How many possibilities a
tester [92]

Answer:

190 possibilities.

Step-by-step explanation:

The problem is called 20 choose 2, given by the formula for combinations

C(20,2) = 20! / (2! (20-2)!) = 190

alternatively, we can reason it this way:

there are 20 choices to choose a captain and 19 choices for an alternate captain for a total of 380 ways.

However, there are 20 choices to choose an alternate captain and 19 choices for a captain for a total of 380 ways.

Since we are essentially double counting every choice of the posts, we need to divide 380 by 2 to get 190 ways.

3 0
3 years ago
Shantira is thinking of a number n, and she wants her sister to guess the number. her first clue is that nine less than five tim
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The value of the integer number n is greater than 5 and less than 9.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is use it to compare two statements.

Simplification is to make something easier to do or understand and to make something less complicated.

Shantira is thinking of a number n.

Her first clue is that six less than six times her number is between twenty-four and forty-eight.

Let n be the integer number.

Then according to the condition,

Her first clue is that six less than six times her number is between twenty-four and forty-eight.

24 < 6n - 6 < 48

Add 6, then

30 < 6n < 54

Divide it by 6

5 < n < 9

So the value of the integer number n is greater than 5 and less than 9.

For more information on inequality click on the link below:

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1 year ago
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