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klemol [59]
3 years ago
15

Consider the following number line

Mathematics
1 answer:
Sati [7]3 years ago
8 0

<u>Answer:</u>

<h2><u>-2.25</u></h2><h3><u>Step-by-step explanation:</u></h3>

Lets start with D:

It says, 0.43 but we're on the OPPOSITE of 0, so it can't be a positive number.

Same goes for C.

Now we are on to our last two.

B, is -2.5 and A, is -0.8

So, now we look at the point <em>B </em>and <em>assume</em>, because it says Select a reasonable value for Point B.

To me, point <em>B </em>looks to be about around -2.0

So, the <em>reasonable value </em>for this problem would be -2.25

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Which of these statements is correct?
tatuchka [14]

Answer:

The system of linear equations 8x - 3y = 10 and 16x - 6y = 22 has no solution is correct.

Step-by-step explanation:

<em>1) The system of linear equations 6x - 5y = 8 and 12x - 10y = 16 has no solution.</em>

<em>Solve these linear equations simultaneously</em>

<em>Step 1 : Find y in terms of x from any one equation</em>

6x - 5y = 8

y = <u>8 - 6x</u>

        -5

<em>Step 2 : Substitute y in terms of x from step 1 in the second equation.</em>

16x - 6y = 22

16x - 6 (<u>8 - 6x)</u> = 22

              -5

80x - 48 + 36x = 22 x -5

94x = 43

x = 0.457

<em>This statement is incorrect as it does have a solution.</em>

<em>2) The system of linear equations 7x + 2y = 6 and 14x + 4y = 16 has an infinite number of solutions.</em>

<em>Solve these linear equations simultaneously</em>

<em>Step 1 : Find y in terms of x from any one equation</em>

7x + 2y = 6

y = <u>6 - 7x</u>

        2

<em>Step 2 : Substitute y in terms of x from step 1 in the second equation.</em>

14x + 4y = 16

14x + 4(<u>6 - 7x)</u> = 16

              2

14x + 12 - 14x = 16

0 ≠ 4

<em>This statement is not true as there are no solutions.</em>

<em>3) The system of linear equations 8x - 3y = 10 and 16x - 6y = 22 has no solution.</em>

<em>Solve these linear equations simultaneously</em>

<em>Step 1 : Find x in terms of y from any one equation</em>

8x - 3y = 10

x = <u>10 + 3y</u>

        8

<em>Step 2 : Substitute x in terms of y from step 1 in the second equation.</em>

16x - 6y = 22

16(<u>10 + 3y)</u> - 6y = 22

       8

20 + 6y - 6y = 2

0 ≠ -18

<em>This statement is true because there are no solutions</em>

<em>4) The system of linear equations 9x + 6y = 14 and 18x + 12y = 26 has an infinite number of solutions.</em>

<em>Solve these linear equations simultaneously</em>

<em>Step 1 : Find x in terms of y from any one equation</em>

9x + 6y = 14

x = <u>14 - 6y</u>

        9

<em>Step 2 : Substitute x in terms of y from step 1 in the second equation.</em>

18x + 12y = 26

18 (<u>14 - 6y)</u> + 12y = 26

        9

8 - 12y + 12y = 26

0 ≠ 18

<em>This statement is incorrect because there are no solutions. It does not have infinite number of solutions.</em>

<em>!!</em>

8 0
3 years ago
Read 2 more answers
the length of a rectangle is 2 inches longer than twice its width. If the area of the rectangle is 24 square inches, what are th
gregori [183]

Answer:

The length is 8 inches and the width is 3 inches

Step-by-step explanation:

Let w represent the width.

The length can be represented by 2w + 2

Use the area formula, A = lw, and plug in the area and the expressions for the length and width:

A = lw

24 = (2w + 2)(w)

Simplify and solve for w:

24 = 2w² + 2w

2w² + 2w - 24

Divide everything by 2:

w² + w - 12

Factor:

(w + 4)(w - 3)

Set equal to 0 and solve for each factor:

w + 4 = 0

w = -4

w - 3 = 0

w = 3

Since the width cannot be negative, the width has to be 3.

Next, find the length by plugging in 3 as w:

2w + 2

2(3) + 2

= 8

So, the length is 8 inches and the width is 3 inches

7 0
3 years ago
A hotel has a pool in the shape of a rectangle. The pool is 8 m long, 3 m wide, and 2,000 cm deep. What is the volume of the poo
Maslowich
Ok, first you need to change the 2,000 cm into meters and then you just multiply all the sides.
4 0
4 years ago
Joseph has saved $500. He has to pay his mom $25 a month for his phone, but he wants to have at least $200 left to pay for a new
irakobra [83]

Answer:

500-200=300 300 divided by 25 give you x, the number of months

Step-by-step explanation:

4 0
2 years ago
PLEASEEE HELP ME I NEED THIS ASAP
Pavel [41]

Answer:

The fourth option is the correct answer

Step-by-step explanation:

The given expression is

-2n(5+n-8-3n)

Given that n=3,We substitute the value of n into the expression and simplify.

This implies that,

-2n(5+n-8-3n)=-2(3)[5+3-8-3(3)]

=-6(5+3-8-9)

=-6(-9)

=54

Hence the answer is 54

6 0
3 years ago
Read 2 more answers
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