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2 years ago

Zach can run 7 1/2 miles in 1 1/2 hours find the average speed in miles per hour

Mathematics

1 answer:

PtichkaEL [24]2 years ago

8 0

Zach is running 5 miles an hour.

Using division we can do 7 1/2 / 1 1/2 we would get 5.

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Mark wrote the highest score he made on his new video game as the product of 70*6000. Use the associative and commutative proper

Alex777 [14]

Mark can:

7*6=42
then just add back the 4 zeros

so its 42 0000

8 0

3 years ago

The manufacturer of a wooden feeding trough for farm animals makes the sides and bottom of the trough 1 foot thick. The outer he

Tju [1.3M]

Answer:

outer width of trough = outer height of trough = x = 4ft

outer length of trough = 2x = 8ft

Step-by-step explanation:

Let,

x = outer width of trough = outer height of trough

Now, according to given condition:

2x = outer length of trough

Now we calculate the inner dimensions by subtracting the thickness (1 ft)

Therefore,

x - 2(1ft) = x - 2ft = inner width of trough (because 1ft from both sides will be subtracted)

x - 1ft = inner height of trough (because only bottom thickness will be subtracted)

2x - 2ft = inner length of trough (because 1ft from both sides will be subtracted)

Now, for the holding volume or inside volume of trough will be:

$Inner Volume = 36\ ft^3 = inner\ height*inner\ width*inner\ length \\36 = (x - 1)(x - 2)(2x - 2)\\36 = (x - 1)(2x^2 - 6x + 4)\\36 = (2x^3 - 6x^2 + 4x - 2x^2 + 6x - 4)\\36 = (2x^3 -8x^2 + 10x - 4) \\2x^3 -8x^2 + 10x - 40 = 0\\2x^2(x-4)+10(x-4) = 0\\(x-4)(2x^2+10) = 0\\$

So, we will have three roots from this solution. Two, of them will be complex from the second factor. So, we ignore them and take the third one as our answer:

x - 4 = 0

x = 4ft

Now the outer dimensions will be:

<u>outer width of trough = outer height of trough = x = 4ft</u>

<u>outer length of trough = 2x = 8ft</u>

7 0

2 years ago

If the mass of your father is 70kg, what is his weight (N)?

Airida [17]

Answer: 686 N

Step-by-step explanation:

Hi!

Second Newton's law is: F=m*a, where F is force, m is mass, and a acceleration

On the Earth's surface, weight is the gravity force W=m*g, where g=9.8 m/s² is the acceleretion of gravity on Earth. So the weight of someone with mass m=70 kg is W=70*9.8 kg*m/s² = 686 N.

The unit N (Newton) is defined as 1 N = 1 kg*m/s²

3 0

3 years ago

the scale on a map shows that 5 centimeters equals 2 kilometers what numbers of the centimeters on the map represents the actual

jek_recluse [69]

2 cm would represent .8 of a kilometer

6 0

3 years ago

Jermain made 6 candles. lukas made 4 times as many candles as jermain did. they plan to pack the candles in boxes with 3 candles

Anit [1.1K]

10
boxes because 6x4 = 24 24+6=30 30/3=10

7 0

3 years ago

Read 2 more answers