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ahrayia [7]
3 years ago
15

The number of squares that are required to fill a rectangle of 512 cm by 108 cm, if each square of length 8 cm is _____________.

a. 838 b. 864 c. 752 d. 440
Mathematics
2 answers:
expeople1 [14]3 years ago
8 0

Answer:

864

Step-by-step explanation:

512÷8=64

108÷8=13.5

64×13.5=864

photoshop1234 [79]3 years ago
4 0

Answer:

b) 864 squares

Step-by-step explanation:

A(rectangle) = 512cm x 108cm = 55296 cm²

A(square) = 8cm x 8cm = 64 cm²

Ar/As = 55296cm²/64cm² = 864 squares

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The total of 8 and the product of x and 2
vagabundo [1.1K]

Answer:

8+2x

Step-by-step explanation:

5 0
3 years ago
Which of the following are valid (necessarily true) sentences? a. (∃x x = x) ⇒ (∀ y ∃z y = z). b. ∀ x P(x) ∨ ¬P(x). c. ∀ x Smart
Phantasy [73]

Answer:

b; ∀x   P(x) ∨ ¬P(x)

Step-by-step explanation:

Suppose that we have a proposition p

Such that p can be true or false.

We can define the negation of p as:

¬p

Such that, if p is false, then ¬p is true

if p is true, then ¬p is false.

Also remember that a proposition like:

p ∨ q

is true when, at least one, p or q, is true.

Then if we write:

p ∨ ¬p

Always one of these will be true (and the other false)

Then the statement is true.

And if the statement depends on some variable, then we will have that:

p(x) ∨ ¬p(x)

is true for all the allowed values of x.

from this, we can conclude that the statement that is always true is:

b; ∀x   P(x) ∨ ¬P(x)

Where here we have:

For all the values of x,   P(x)  ∨ ¬P(x)

7 0
2 years ago
Simplify using the vertical method. (3k + 4)(3k^2 – 5k – 3)
liubo4ka [24]

Answer:

9k^{3} -3k^{2}-29k-12

Step-by-step explanation:

Step 1: Expand by distributing sum groups.

3k(3k^{2} -5k-3)+4(3k^{2} -5k-3)

Step 2: Expand by distributing terms.

9k^{3} -15k^{2} -9k+4(3k^{2} -5k-3)

Step 3: Expand by distributing terms.

9k^{3}-15k^{2} -9k+12k^{2} -20k-12

Step 4: Collect like terms.

9k^{3}+(-15k^{2}  +12k^{2} )+(-9k-20k)-12

Step 5: Simplify.

9k^{3} -3k^{2}-29k-12

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3 years ago
How would you say the following time?<br> 22.7 seconds
Marianna [84]

Answer: I would say it as “Twenty-Two Point Seven Seconds” Hope this helps you

Step-by-step explanation:

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2 years ago
HELP ASAP!!
Alona [7]

Answer:

The answer is C) - |x - 2| + 3 = 0

Step-by-step explanation:

a) - |x - 2| + 3 > 0

The greater than means something above the graph.

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The less than means something below the graph.

c) - |x - 2| + 3 = 0

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(h,k) is the origin.

h is shift left/right, h = 2 so shift right 2.

k is shift up/down, k = 3 so shift up 3.

The a, affects the y-values which cause the graph to reflect across the x-axis.

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