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3 years ago

Explain how to model the division of –24 by –4 on a number line.

Mathematics

1 answer:

lianna [129]3 years ago

8 0

Answer:

Here's one way to do it.

Step-by-step explanation:

-24 ÷ (-4)

-24 is the final number on the number line

-4 means you count by 4s on the number line moving backwards.

Start at 0 facing forward.
Move backwards in steps of four units from 0 to -24.
Count the number of steps you took (six).

Answer: +6 (The sign is + because you are still facing forward).

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Find a counterexample to show that the statement is false. Assume all sets are subsets of a universal set U = {1, 2, 3, 4, 5}. (

natka813 [3]

Answer:

For subsets A={1,2},B={2,3},C={1,2 5} of U = {1, 2, 3, 4, 5}.

A ∪ (B − C) = (A ∪ B) − (A ∪ C) does not hold.

Step-By-Step Explanation:

U = {1, 2, 3, 4, 5}.

A={1,2}

B={2,3}

C={1,2 5}

For the Left Hand Side

B-C={3}

A ∪ (B − C)= {1,2} ∪ {3} ={1,2,3}

Likewise, the Right Hand Side:

(A ∪ B)={1,2,3}

(A ∪ C)={1,2,5}

(A ∪ B)- (A ∪ C)= {1,2,3}-{1,2,5}={3}

Since, {1,2,3} ≠ {3}, A ∪ (B − C) = (A ∪ B) − (A ∪ C) does not hold.

7 0

2 years ago

50+24/(6x2) Please solve and show work. Thank you.

stepladder [879]

50+246x2

=300x^2+24/6x^2
the answer is =50x^2+4/x^2

6 0

2 years ago

List all the factors of 66 from least to greatest.

faust18 [17]

The factors of 66 are 1, 2, 3, 6, 11, 22, 33, and 66. Out of these factors, the greatest factor of 66. The next highest factor other than 66 is 33. A number which is three more than 33 is 33 + 3 = 36.

6 0

2 years ago

A triangle has side lengths of 4, inches, 10 inches, and c inches.

alexdok [17]

Answer:

c<4+10

c<14

Step-by-step explanation:

can I get brainliest?

7 0

3 years ago

Read 2 more answers

If a 42.9 ft tall flagpole casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall woman casts?

blsea [12.9K]

We will have to use proportions:
$\frac{42.9}{253.1} = \frac{6.2}{x}$
Cross multiplying we get
$42.9x = 6.2 \times 253.1$
Now divide:
$x = \frac{6.2 \times 253.1}{42.9}$
Solve to tenths place we get
$x = 36.6$
The woman casts a 36.6 ft long shadow.

3 0

3 years ago