a rectangular prism is 4 units x 2-1/2 units by 1-1/2 units. how many cubes with a side length of 1/2 unit will completely fill the prism

Answers

Answer 1
Answer: find 2 things
1. volume of 1 cube
2. volme of rectangular prism


1. volume of a cube=side^3
side=1/2
v=1/2^3=1/8 cubic units

2. volume=legnth times widht itmes height
4
2 and 1/2
1 and 1/2

for ease, convert to improper
2 and 1/2=2+1/2=4/2+1/2=5/2
1 and 1/2=1+1/2=2/2+1/2=3/2

so
v=4/1 times 5/2 times 3/2=60/4=15

so

how many cubes does it take to fill the prism
how many cubes times volume of 1 cube=volume of prism
xcubes times 1/8unit^3=15unt^3
multiply both sides by 8/1 unit^3 to clear fraction (since 1/8 times 8/1=8/8=1)
xcubes=240

need 240 cubes to fill prism

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Find the solution to the system of equations.

y= 2x + 3

y= -3x + 3

Answers

Answer:

(0, 3 )

Step-by-step explanation:

Given the 2 equations

y = 2x + 3 → (1)

y = - 3x + 3 → (2)

Since both equations express y in terms of x we can equate them, that is

2x + 3 = - 3x + 3 ( add 3x to both sides )

5x + 3 = 3 ( subtract 3 from both sides )

5x = 0 ⇒ x = 0

Substitute x = 0 into (1)

y = 0 + 3 = 3

Solution is (0, 3 )

A store is having a sale to celebrate president day. Every item in the store is advertised as one fifth off the original price of $140, what was it's original price.?

Answers

since  $140 is 1/5 of the original price
the original price is 5/1 x 140 = $700

the perimeter of the rectangle is 86 inches. if the length is 3 inches longer that the width, find the width of a rectangle.

Answers

Answer:

Width = 20 inches

Step-by-step explanation:

Perimeter = 86 inches

Width = W

Length = 3 + W

Use the formula 2L + 2W = P to solve

Substitute new value for length (3 + w) into the formula

2(3 + W) + 2W = P

Change perimeter into the equation to 86 inches (Given)

2(3 + W) + 2W = 86

Multiply

6 + 2W + 2W = 86

Add the W's

6 + 4W = 86

Subtract 6 from both sides of the equation

4W = 80

Divide both sides of the equation by 4

W = 20 inches

Hope this helps :)

The length is 23in and the width is 20 inches

Which property is shown? –7 + 24 = 24 + (–7) A. associative property B. distributive property C. opposite of a sum property D. commutative property

Answers

B Commutative Property
This is the commutative property. This is because the commutative property just moves stuff around for example a+b = b+a, is the commutative property. The associative property is a+(b+c) = (a+b)+c, the distributive property is a(b+c) = ab+ac, and the opposite of a sum property is -(a+b) = (-a)+(-b).

What is the relationship between angles 6 and 7

Answers

Final answer:

The relationship between angles 6 and 7 depends on the context and could be complementary, supplementary, opposite angles, or have another relationship based on their geometric configuration.

Explanation:

The relationship between angles 6 and 7 depends on the context in which they are being discussed. Without further information, it is difficult to determine the specific relationship between these angles. It is possible that angles 6 and 7 could be complementary, supplementary, opposite angles, or have another relationship based on their geometric configuration.

Learn more about Angles here:

brainly.com/question/13954458

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Answer: D; vertical angles

Step-by-step explanation: We could conclude thee are vertical angles because of the same measurement of each we could also see that they correspond each other and are therefore similar angles.

Concluding, that the answer would be D; vertical angles

Hope this helps

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-Carrie

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Write each numeral in expanded form? 2356

Answers

2,356 = 2,000 + 300 + 50 + 6
As simple as that!