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Your plan was to be on the road by 9 A.M. but you did not leave the garage until 10 A.M. You then drove with the cruise control

Wittaler [7]

Answer:

The average speed over the time interval from 9 A.M. to noon was of 33.33 mph.

Step-by-step explanation:

The average speed is given by the following equation:

$v = \frac{d}{t}$

From 10A.M. to noon.

You traveled at 50mph during 2 hours. So how long you traveled?

$50 = \frac{d}{2}$

$d = 50*2$

$d = 100$

You traveled 100 miles.

What was your average speed over the time interval from 9 A.M. to noon

From 9 A.M. to 10 A.M, you did not travel.

From 10 P.M. to noon, 100 miles.

So 100 miles during 3 hours.

$v = \frac{d}{t} = \frac{100}{3} = 33.33$

The average speed over the time interval from 9 A.M. to noon was of 33.33 mph.

8 0

3 years ago

Choose the number sentence that applies the commutative property to the example.

Vinil7 [7]

The number sentence that applies the commutative property to the example is 4 × 3 = 12

<h3>Commutative property</h3>

Commutative property can be additive or multiplicative. It is a way of changing the position of a function or value in an expression without affecting the result

Examples are

A +B = B +A

AB = BA

Although the value were interchanged, the result were not affected. Hence the number sentence that applies the commutative property to the example is 4 × 3 = 12 since changing 3 and 4 does not affect the result

Learn more on commutative property here: brainly.com/question/778086

#SPJ1

8 0

2 years ago

Mike and Beth both write the decimal 0.8 (0.88888...)as a fraction. Mike: 45 Beth: 89 Which student wrote the correct fraction?

fenix001 [56]

Answer:

see the explanation

Step-by-step explanation:

we have

0.888...

This is a <u>repeating decimal</u> (Is a decimal that has a digit, or a block of digits, that repeat over and over and over again without ever ending)

Convert to fraction number

Let

x=0.888...

10x=8.888...

Subtract 0.888... from 8.888... to remove the decimal

10x-x=8.888...-0.888...

9x=8

Solve for x

x=8/9

therefore

Mike fraction is incorrect

because 4/5=0.8

0.8 is a <u>terminating decimal </u>(It's a decimal with a finite number of digits)

Mike's mistake was considering the number as a terminating decimal instead of a repeating decimal

Beth is correct

because

If you divide 8/9

the result is 0.8888888...

3 0

3 years ago

Of the trains that recently arrived at Silvergrove Station, 22 were on time and 4 were late. What is the experimental probabilit

gladu [14]

22 which is simplified to 11
--- ---- of a chance to be on time
26 13

4 0

3 years ago

You are designing an open-top cylindrical container. The cylinder must have a volume of 81π cm3 . The bottom of the container mu

stira [4]

Answer:

Minimum dimensions are r=3cm, h=9cm

Minimum Cost=$254.47

Step-by-step explanation:

Volume of a Cylinder=πr²h

Volume of the Open Top Cylinder=81π cm³.

Therefore:

πr²h=81π

The bottom costs $3 per cm² and the side costs $1 per cm².

Total Surface Area of the open top Cylinder= πr²+2πrh

Cost, C=3πr²+2πrh

As the Volume is fixed.

πr²h=81π

r²h=81

h=81/r²

Modifying C,

$C=3\pi r^{2}+2 \pi r \frac{81}{r^{2}}$

$C=3\pi r^{2}+ \frac{162 \pi}{r}$

We differentiate C with respect to r

C'= $6\pi r -\frac{162 \pi}{r^2}$

At the minimum cost, C'=0.

Next we solve C'=0 for r

$6\pi r -\frac{162 \pi}{r^2}=0$

6πr³-162π=0

6πr³=162π

r³=27

r=3

The dimensions of the cylinder at minimum cost are therefore:

r=3 cm

h=81/9=9cm

The minimum cost of the Cylinder

C=3πr²+2πrh

=(3XπX3²)+(2XπX3X9)

=$254.47

8 0

4 years ago

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