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3 years ago

5

Which of the following best describes the English expression the quotient of nine and the sum of a number and one

1 answer:

Alika [10]3 years ago

3 0

Quotient of means divide and the placement of the symbol is where the word "and" is located... the closest "and" unless you see "sum of", "product of", "difference of", or even another "quotient of" between it and "and".

In this case the first "and" is closest so the division sign will go there and the 2nd "and" will be replaced with a + sign.
Ways to write the answer:
9 ÷ (x + 1)

$\frac{9}{x+1}$

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Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same poi

skelet666 [1.2K]

Answer:

Alan: 200 m/min

Brian: 150 m/min

Step-by-step explanation:

Given : Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same point. Alan races around the track in 45 seconds before Brian does and overtakes him every 9 minutes.

To find : What are their rates, in meters per minute?

Solution :

Let n represent the number of laps that Alan completes in 9 minutes.

Then n-1 is the number of laps Brian completes.

45 seconds = 3/4 minutes.

The difference in their lap times in minutes per lap is

$\frac{9}{(n -1)}-\frac{9}{n} =\frac{3}{4}$

Solving the equation we get,

$\frac{9n-9n+9}{n(n -1)} =\frac{3}{4}$

$9\times 4=3\times n(n -1)$

$36=3\times n(n -1)$

$n^2-n-12=0$

$n^2-4n+3n-12=0$

$n(n-4)+3(n-4)=0$

$(n-4)(n+3)=0$

$n=4,-3$

Neglecting n=-3

So, n=4

Then Alan's speed in m/min is

$S=\frac{D}{T}$

$S_a=\frac{4\times 450}{9}$

$S_a=200 m/min$

Brian completes 3 laps in that 9-minute time, so his rate is

$S_b=\frac{3\times 450}{9}$

$S_b=150 m/min$

Therefore, Alan: 200 m/min

Brian: 150 m/min

4 0

4 years ago

8203 divided by 31 with remainder!!!

BabaBlast [244]

The answer is 264 1/6

5 0

2 years ago

Count with me :) deqeweDr3<br><br> 1

Eduardwww [97]

Answer:

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Step-by-step explanation:

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4 0

3 years ago

A certain drug dosage calls for 17 mg per kg per day and is divided into two doses (1 every 12 hours). If a person weighs 255 po

vekshin1

Answer:

985.15mg

Step-by-step explanation:

Calculation for how many milligrams of the drug should he receive every 12 hours

First step is to calculate the weight in kg

255 lbs = 255/2.2 = 115.9 kg

Second step is multiply mg/kg in order to get total medicine per day

Dose per day=115.9kg × 17 mg

Dose per day= 1,970.3

Third step is to calculate how many milligrams of the drug should he receive by dividing the day dose by 2

Dose milligrams=1,970.3/2

Dose milligrams=985.15mg

Therefore how many milligrams of the drug should he receive every 12 hours will be 985.15mg

3 0

3 years ago

{96/[36/3-(18 x 2 - 30)]} / (31-16+1)

ehidna [41]

Answer:

-1/2

Step-by-step explanation:

pemdas rules

1. 18 x 2 - 30 = 6

2. 3-6= -3

3. 36/-3 = -12

4. 96/-12 = -8

5. (31-16+1) = 16

6. -8/16 = -1/2

3 0

2 years ago