MATHEMATICS HIGH SCHOOL

An astronaut spends 53% of the day working, 0.1 of the day eating, 3/10 of the day sleeping, and the rest of the day exercising. Order the events by duration from least to greatest.

Answers

Answer 1
Answer:

Answer:

0.1 of the day eating; 3/10 of the day sleeping; 53% of the day working

Step-by-step explanation:

convert all to decimals

0.1=0.1

3/10=0.3

53%=0.53

least to greatest= 0.1, 0.3, 0.53

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A ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln. If there are p pots in a batch, which expression represents the time it takes to shape and fire one batch of pots? How long will it take the potter to form and fire a batch of 10 pots?

Answers

Answer:

t = 40 minutes for p = 10 pots

Step-by-step explanation:

given  p  pots in a batch.

Let t = time it takes to finish a pot

t = 3*p +  10

so  if p = 10 pots,  

t = 3*10 + 10 = 30 + 10 = 40 minutes

Tyler's older brother Joseph is 5 feet 6 inches tall. Joseph is 16 inches taller than Tyler . How tall is Tyler?

Answers

A. 4' 2" that is the answer..............
a) because 1 foot = 12 inches 5 x 12= 60
60 + 6 = 66 
66 - 16= 50
50/12 = 4.16

What two numbers add up to -15 & can be multiplied to get 56

Answers

-8 and -7, I used guess and check
-8 and -7,because when you add those two numbers,you get -15 because their both negative numbers,and iff you multiply them,they equal 56 because negative times a negative equals a positive.ur welcome!:)

A scientist needs 10 litera of a 20% acid solution for an experiment but she has only 5% solution and a 40% solution. To the nearest tenth of a liter, how many liters of the 5% and the 40% solutions should she mix to get the solution she needs?

Answers

x = liters of 5% solution

y = liters of 40% solution

The scientist wants 10 L total of a 20% solution, so

x + y = 10

0.05 x + 0.40 y = 0.20 (x + y) = 2

From the first equation,

y = 10 - x

Substitute this into the second equation and solve for x :

0.05 x + 0.40 (10 - x) = 2

0.05 x + 4 - 0.40 x = 2

2 = 0.35 x

x ≈ 5.714 L

Solve for y :

y = 10 - x

y ≈ 4.286 L

A-b=4 and a+b=6 find a²+b² and ab

Answers

Answer:

...a-b=4

a+b=6

→2a=10

→a=10/2 =5

we calculate b:

a-b=4

5-b=4

-b=4-5

b=1

→a=5;  b=1

a²+b² = 5²+1² = 25+1 = 26

ab =5*1 = 5

Depth d (in feet) of a river can be modeled by the equation d=−0.25t2+1.7t+3.5, where 0≤t≤7 and t is the time (in hours) after a heavy rain begins. When is the river 6 feet deep?

Answers

Answer:

The river is 6 feet at two times, 2.15 hours after the rain and 4.65 hours after the rain.

Step-by-step explanation:

We are given the following in the question:

d=-0.25t^2+1.7t+3.5

0\leq t\leq 7

where, d is the depth of river in feet and t is time in hours after a heavy rain.

We have to find the number of hours for which the depth of river is 6 feet.

Putting d = 6 in the equation, we get,

6=-0.25t^2+1.7t+3.5\n\Rightarrow +0.25t^2-1.7t+2.5 = 0\n\text{Using quadratic formula}\n\n\Rightarrow t = (1.7\pm √((-1.7)^2-4(0.25)(2.5)))/(2(0.25))\n\nt\approx 4.65, 2.15

Thus, the river is 6 feet at two times, 2.115 hours after the rain and 4.65 hours after the rain.

The attached image shows the graph.
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