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4 years ago

Is 1 a rational number?

Mathematics

1 answer:

marysya [2.9K]4 years ago

4 0

Yes 1 is a rational number, because it can be expressed as the quotient of two integers

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Carol spends 17 hours in a 2-week period practicing her culinary skills. How many hours does she practice in 5 weeks?

Darina [25.2K]

Carol spends 52.5 hours practicing her culinary skills in a 5 week period.

17*2= 44 hours for 4 weeks
17/2= 8.5 for 1 week (half of 2 week period)
44+8.5= 52.5

6 0

4 years ago

A boat travels 33 miles downstream in 4 hours. The return trip takes the boat 7 hours. Find the speed of the boat in still water

Paha777 [63]

Answer:

Speed of the boat in still water = 6.125 miles/hour

Step-by-step explanation:

We are given that a boat travels 33 miles downstream in 4 hours and the return trip takes the boat 7 hours.

We are to find the speed of the boat in the still water.

Assuming $S_b$ to be the speed of the boat in still water and $S_w$ to be the speed of the water.

The speeds of the boat add up when the boat and water travel in the same direction.

$Speed = \frac{distance}{time}$

$S_b+S_w=\frac{d}{t_1}=\frac{33 miles}{4 hours}$

And the speed of the water is subtracted from the speed of the boat when the boat is moving upstream.

$S_b-S_w=\frac{d}{t_2}=\frac{33 miles}{7 hours}$

Adding the two equations to get:

$S_b+S_w=\frac{d}{t_1}$

+ $S_b-S_w=\frac{d}{t_2}$

___________________________

$2S_b=\frac{d}{t_1} +\frac{d}{t_2}$

Solving this equation for $S_b$ and substituting the given values for $d,t_1, t_2$ :

$S_b=\frac{(t_1+t_2)d}{2t_1t_2}$

$S_b=\frac{(4 hour + 7hour)33 mi}{2(4hour)(7hour)}$

$S_b=\frac{(11 hour)(33mi)}{56hour^2}$

$S_b=6.125 mi/hr$

Therefore, the speed of the boat in still water is 6.125 miles/hour.

6 0

3 years ago

Read 2 more answers

(PLEASE HELP I WILL GIVE BRAINLIEST IF CORRECT (40 POINTS)

Andrews [41]

Answer:

2800 - 4000

Step-by-step explanation:

40 × 70 = 2800

50 × 80 = 4000

3 0

3 years ago

Find the measure of angle d. d°

QveST [7]

Answer:

Need points sorry <3

Step-by-step explanation:

3 0

3 years ago

Find four consecutive even integers such that if the sum of the first and third is multiplied

Alenkasestr [34]

Answer:

Step-by-step explanation:

-8-10,-12-14

-8 plus -12 is -20

-20 times 5 is -100

-14 times 8 is -112

-100 is 12 more than -112

6 0

3 years ago