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Vsevolod [243]
3 years ago
8

Determine whether each ordered pair is a solution of the inequality-3x-4y<6

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
5 0

Answer:

it's (6,0) I can't explain though

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A 42-inch piece of steel is cut into 3 pieces so that the 2nd piece is twice as long as the 1st piece, and the 3rd piece is 2 in
Galina-37 [17]

Answer:

1st piece = Piece A = 5 inches

2nd piece = Piece B = 10 inches

Third Piece = Piece C = 27 inches

Step-by-step explanation:

A 42-inch piece of steel is cut into 3 pieces

Let the lengths be represented as:

1st piece = Piece A

2nd piece = Piece B

Third Piece = Piece C

Hence:

A + B + C = 42

The 2nd piece is twice as long as the 1st piece

B = 2A

The 3rd piece is 2 inches more than 5 times the length of the first piece.

C = 5A + 2

Hence: we substitute

A + B + C = 42 inches

A + 2A + 5A + 2 = 42 inches

8A = 42 - 2

8A = 40 inches

A = 40 inches/8

A = 5 inches

Solving for B

B = 2A

B = 2 × 5 inches

B = 10 inches

Solving for C

C = 5A + 2

C = 5 × 5 + 2

C = 25 + 2

C = 27 inches

Therefore, the lengths of the 3 pieces =

1st piece = Piece A = 5 inches

2nd piece = Piece B = 10 inches

Third Piece = Piece C = 27 inches

4 0
3 years ago
Which expression represents the shaded length of the number line below? Choose 1 answer: Choose 1 answer: (Choice A) A 34×32\dfr
Anit [1.1K]

Answer:

Expression = \frac{2}{3} * \frac{5}{4}

Step-by-step explanation:

<em>See attachment for number line</em>

From the attachment, we have the following details:

The first shade of blue covered 10 blocks

The second shade of blue covered 5 further blocks which totaled to 15

So, the fraction of the blue blocks is:

Blue = \frac{10}{15}

Divide fraction by 5/5

Blue = \frac{10/5}{15/5}

Blue = \frac{2}{3}

Also from the attachment:

The shaded block stopped at the fraction:

Shaded = \frac{5}{4}

So, the expression that represents this scenario is:

Expression = Blue * Shaded

Expression = \frac{2}{3} * \frac{5}{4}

<em>Option (c) answers the question</em>

8 0
3 years ago
" Jack is selling tickets to an event. Attendees can either buy a general admission ticket or a VIP ticket. The general admissio
barxatty [35]

60x+90y=2100

29t=2100

3 0
3 years ago
True or false 8.25 is greater than 8.25 repeating
AURORKA [14]

Answer:

ture

Step-by-step explanation:

7 0
2 years ago
2. Write 7x2 - 4 + 6x3 - 4x - x4 in standard form.
Hunter-Best [27]

Answer:

16-5x

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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