If the Volume of a rectangular prism is 420 cubic units, what is its
Volume if one dimension is halved, a second dimension is reduced
to one-third it original length, and a third dimension remains
unchanged?

Answer:

15.6

Step-by-step explanation:

Answer:

m<RPS = 53 degrees

Step-by-step explanation:

Find the diagram attached

From the diagram shown;

m<QPR + m<RPS = 90

Given that;

m<QPR = x

m<RPS = x+16

Substitute into the formula;

m<QPR + m<RPS = 90

x+x+16 = 90

2x+16 = 90

2x = 90-16

2x = 74

x = 74/2

x = 37degrees

Get m<RPS;

Since m<RPS = x+16

m<RPS = 37 + 16

m<RPS = 53 degrees

Answer:

Step-by-step explanation:

5,1, 9

Answer:

5,1 and 9 like said above sksksk

Step-by-step explanation:

Answer:

42 ft

Step-by-step explanation:

body = x

tail = 7x

x + 7x = 48

8x = 48

Divide both sides by 8

x = 6

Tail

7x = 7(6)

7x = 42

Answer:

The answer is option c....

Mark as brainliest

Answer:

1/2

Step-by-step explanation:

hope it helped u alot

Answer:

1/3 is not greater than 2/5

Step-by-step explanation:

Answer:

The answer is false

Hope this helps !

Mark me brainliest if I'm right :)

Answer:A perfect 5 pointed star geometrically is an equilateral concave decagon, it is also a common ideogram in modern culture.

Step-by-step explanation:

Answer:

50.24

Step-by-step explanation:

Area = pi*r^2

r = diameter/2

r = 4

Area = pi*4^2

Area = 3.14*16

Area = 50.24

Answer:

Step-by-step explanation:

The area A of a circle of radius r is A = πr², where π is often approximated by 3.14.

Here, with the circle diameter being 8, we figure the radius to be half that, or 4.

Then the area of this circle is A = (3.14)(4 in)², or

                                                 A  =  50.24 in²

Answer:

Step-by-step explanation:

Answer:

$7120 or $7565 is the minimum average premium they should charge per policy holder

Step-by-step explanation:

Small business can charge 80-85% of the total value of the policy as premium.

In this case the spending per policy holder is $8900

Hence, per policy holder has to pay a premium of

80-85% of $8900

$7120 or $7565 is the minimum average premium they should charge per policy holder

Answer:

The answer is A. x + 5, y - 2

Step-by-step explanation:

The answer is A because you would move the block 5 spaces to the right and 2 spaces down.

Hope this helps!

Answer:

8 meters

Step-by-step explanation:

4x2=8

Answer: 1/2 mile

Step-by-step explanation:

[tex]2\frac{1}{2} -(\frac{1}{4} +1\frac{3}{4} )=Distance\\\22\frac{1}{2} =\frac{10}{4} \\\11\frac{3}{4} =\frac{7}{4} \\\frac{10}{4} -\frac{1}{4} -\frac{7}{4} =\frac{2}{4} =\frac{1}{2} \\[/tex]

Answer:

1/2 mile hope this helps

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

Given

Luanne

[tex]Salt = 3\ cups[/tex]

[tex]Gallon = 1[/tex]

Fiona

[tex]Salt = 2\ cups[/tex]

[tex]Gallon = 3[/tex]

The question is incomplete, as the options are not given.

However, possible comparison that can be made are

(a) The unit amount of salt

(b) Whose solution is more concentrated with salt

(a) The unit amount of salt

To do this, we divide the amount of salt by the number of gallons.

[tex]Unit = \frac{Salt}{Gallon}[/tex]

For Luanne

[tex]Unit = \frac{3}{1}[/tex]

[tex]Unit = 3 cups/gallon[/tex]

For Fiona

[tex]Unit = \frac{2}{3}[/tex]

[tex]Unit = 0.67cups/gallon[/tex]

(b) Whose solution is more concentrated with salt

By comparing the result in (a)

We have:

[tex]Unit = 3 cups/gallon[/tex] --- Luanne

[tex]Unit = 0.67cups/gallon[/tex] --- Fiona

Luanne unit amount implies that there are 3 cups in every gallon of water;

Fiona unit amount implies that there are 0.67 cups in every gallon of water;

[tex]3 >0.67[/tex]

Hence, Luanne solution is more concentrated with salt

Answer:

There Will be one cookie left.

Step-by-step explanation:

She is wrong Becuase if you eat 4 cookies there is two left. So if you put it on 5 there would only be 1 left.

Answer:

Step-by-step explanation:

25/2=12.5= π(12.5)=12.5 x 12.5= π(156.25)=

π = 490.87 x 4= 1963.48

Answer:

Because it only has one answer and there are no variety of answers.

hope this helps

Answer:

29 sq.inches

Step-by-step explanation

2x2+5x3+5x2=29sq .inches

Answer: 25 hours

Step-by-step explanation:

Answer:

25 hours

Step-by-step explanation:

Answer: 31.62

Step-by-step explanation:

Answer:

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{14}{15}[/tex]

Step-by-step explanation:

Your question is poorly formatted (See comment section for complete question)

Given

[tex]x = \{elf, hobbit, human\}[/tex] ---- characters

[tex]n(x) =3[/tex]

[tex]y = \{Magic,Sword,Shield,Slingshot,Umbrella\}[/tex] --- tools

[tex]n(y) = 5[/tex]

Required

The probability that your character won't be a hobbit or your tool won't be an umbrella?

First we calculate the probability of choosing a hobbit.

[tex]x = \{elf, hobbit, human\}[/tex]

[tex]n(hobbit) = 1[/tex]

So:

[tex]P(hobit) = \frac{n(hobbit)}{n(x)}[/tex]

[tex]P(hobit) = \frac{1}{3}[/tex]

Using the complement rule, we calculate the probability of not choosing a hobbit

[tex]P(Not\ hobbit) = 1 - P(hobbit)[/tex]

[tex]P(Not\ hobbit) = 1 - \frac{1}{3}[/tex]

[tex]P(Not\ hobbit) =\frac{2}{3}[/tex]

Next, we calculate the probability of choosing an umbrella.

[tex]y = \{Magic,Sword,Shield,Slingshot,Umbrella\}[/tex]

[tex]n(Umbrella) = 1[/tex]

So:

[tex]P(Umbrella) = \frac{n(Umbrella)}{n(y)}[/tex]

[tex]P(Umbrella) = \frac{1}{5}[/tex]

Using the complement rule, we calculate the probability of not choosing an umbrella

[tex]P(Not\ Umbrella) = 1 - \P(Umbrella)[/tex]

[tex]P(Not\ Umbrella) = 1 - \frac{1}{5}[/tex]

[tex]P(Not\ Umbrella) = \frac{4}{5}[/tex]

The required probability is calculated using:

[tex]P(A\ or\ B) = P(A) + P(B) - P(A)P(B)[/tex]

In this case;

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = P(Not\ hobbit) + P(Not\ Umbrella) -[/tex] [tex]P(Not\ hobbit)*P(Not\ Umbrella)[/tex]

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{2}{3} + \frac{4}{5} - \frac{2}{3} * \frac{4}{5}[/tex]

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{2}{3} + \frac{4}{5} - \frac{8}{15}[/tex]

Take LCM

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{10+12-8}{15}[/tex]

[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{14}{15}[/tex]

Answer:

8 x 10 = 80

80 divided by 2 = 40

6 x 8 = 48

48 divided by 2 = 24

40 + 24 = 64 in2 is your answer.

Formula of a triangle:

B(base) x H(height) x 1/2(basically dividing by 2)

Answer:

C is 3..............................

Answer:

Step-by-step explanation:

Cathy worked 4 hours.

4 hours = 4 * 60 = 240 minutes

She worked an additional 15 minutes which brings her total up to 255.

Doug worked 1 minute longer than Cathy.

Answer:

a.) Doug worked more. b.)The difference is one minute.

Step-by-step explanation:

CAN BE DONE DIFFERENTLY

Cathy has 4 & 15 minutes, since each hour is 60 minutes we can multiply 60 by 4.

60

x4

240

Now adding the 15 it'll be 255.

DOUG WORKED MORE.

DIFFERENCE IS 1 MINUTE.

Answer:

3(2) - 5 = 1

Step-by-step explanation:

y = 3x - 5

(x, y)

plug x and y in

1 = 3(2) - 5

1 = 6 - 5

1 = 1

true