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rjkz [21]
3 years ago
6

2/3 x + 1/2 equals 3/4 + 5/3 ​

Mathematics
1 answer:
worty [1.4K]3 years ago
3 0
2/3x + 1/2 = 3/4 + 5/3
2/3x + 1/2 - 1/2 = 3/4 + 5/3 - 1/2
2/3x = 3/4 + 5/3 - 1/2
2/3x = 3/4(3/3) + 5/3(4/4) - 1/2(6/6)
2/3x = 9/12 + 20/12 - 6/12
2/3x = 23/12
2/3x(3/2) = 23/12(3/2)
X = 69/24
X = 2 21/24
X = 2 7/8
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Step-by-step explanation:

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Which number line shows the solution to −6 − (−2)? A number line is shown from negative 10 to 0 to positive 10. There are increm
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Answer:

The correct option is A) A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 4 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.

Step-by-step explanation:

Consider the provided expression.

−6 − (−2)

Open the parentheses and change the sign.

−6 − (−2)

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−4

Now draw this on number line.

First draw a number line is shown from −10 to 0 to 10. with scale of 2 unit on either side of the number line. Draw an arrow pointing from 0 to −6 Which show −6. Above this, another arrow pointing from −6 to −4 which shows −6 − (−2) = −4. A vertical bar is shown at the tip of the arrowhead of the top arrow.

The required number line is shown in the figure 1.

Hence, the correct option is A) A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 4 is shown. A vertical bar is shown at the tip of the arrowhead of the top arrow.

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3 years ago
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Answer:

<em>The base is 24 cm long.</em>

Step-by-step explanation:

<u>Equations</u>

Let's call

b= base of the triangle

h=height of the triangle

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b = h + 9

The area of the triangle is:

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Multiplying by 2:

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Operating:

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The only valid positive solution is:

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And b = h + 9 = 24

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The base is 24 cm long.

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