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AfilCa [17]
4 years ago
10

A mail carrier can deliver mail to 36 houses in 30 minutes. Mark wants to determine how many houses the carrier can deliver mail

to in 7.5 minutes at this rate. He thinks that to find the answer, he should do the following. 1. First divide 36 houses by 30 minutes to find a unit rate of 1.2 houses per minute. 2. Then multiply 1.2 houses per minute by 7.5 minutes to get 9 houses. Which statement is correct?
Mathematics
2 answers:
tatuchka [14]4 years ago
8 0

Answer:

Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.

Step-by-step explanation:

i took test on edge.

faltersainse [42]4 years ago
4 0

Answer:

Mark’s method is correct, because even though it is impossible to deliver mail to 1.2 houses in a minute, 1.2 represents the unit rate of houses per minute.

Step-by-step explanation:

Just took the test.

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What two numbers add to make 36 with one of the numbers being exactly twice the other?
11111nata11111 [884]

Answer:

12 and 24

Step-by-step explanation:

2 numbers, x in this case, with one being twice the other, one of them will be 2x, equals 36. Your equation would look like this: 2x+x=36. Simplify it to get 3x=36, divide the 3 and you get 12. 12 will be your small number then multiply by 2 to get your large one, 24.

7 0
3 years ago
If 6 men finish a piece of work in 8 days, how long will it rake 4 men to​
Anna11 [10]

Answer:

6 men finish a piece of work in 8 days

1 men finish a piece of work in 8*6 days

4men will finish a piece of work in 48/4

days

..

which is equal to 12 days

7 0
3 years ago
Read 2 more answers
Find the generating function for the sequence 1,1,1,2,3,4,5,6,....
marin [14]

Answer:

P(x)=\dfrac{1}{1-x}+\dfrac{x^3}{(1-x)^2} \quad \text{for} \mid x \mid < 1[/tex]

Step-by-step explanation:

The generating function of a sequence is the power series whose coefficients are the elements of the sequence. For the sequence

1,1,1,2,3,4,5,6,...

the generating function would be

P(x)=1+x+x^2+2x^3+3x^4+4x^5+5x^6+...\\

we can multiply P(x) by x to get

xP(x)=x+x^2+x^3+2x^4+3x^5+4x^6+...

Note that

P(x)-xP(x)=1+(2x^3-x^3)+(3x^4-2x^4)+(4x^5-3x^5)+(5x^6-4x^6)+...\\   \\=1+x^3+x^4+x^5+x^6+...=1+x^3(1+x+x^2+x^3+x^4+...)

which for \mid x \mid < 1 can be rewritten as

(1-x)P(x)=1+\dfrac{x^3}{(1-x)} \quad \Rightarrow \\\\P(x)=\dfrac{1}{(1-x)}+\dfrac{x^3}{(1-x)^2}

8 0
3 years ago
Find the perimeter of the figure to the nearest hundredth.
MariettaO [177]

Answer:

Step-by-step explanation:

7 0
3 years ago
The diameter of a bicycle wheel is 2 feet.About how many revolutions does the wheel make to travel 2 kilometers?Explain.Hint 1 k
RSB [31]
We can work out the circumference of the wheel by using the equation

C = πd

C = π × 2
C = <span>6.28318530718
C = 6 feet

If 1km is 3280 feet, 2km is 6560 feet

6560 </span>÷ 6 = <span>1093.33333333 (recurring)
= 1093

Therefore the bike wheels rolls (approximately) 1093 times to cover 2km.
</span>
8 0
3 years ago
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