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2 years ago

Explain how you would solve the equation 3x + 4 - 2x = 6x + 2 - 5x + 2

Mathematics

1 answer:

kozerog [31]2 years ago

8 0

Answer:

Both sides are true.

$\mathrm{Group\:like\:terms}\\3x-2x+4=6x+2-5x+2\\\mathrm{Add\:similar\:elements:}\:3x-2x=x\\x+4=6x+2-5x+2\\\mathrm{Group\:like\:terms\:again}\\x+4=6x-5x+2+2\\\mathrm{Add\:similar\:elements:}\:6x-5x=x\\x+4=x+2+2\\\mathrm{Add\:the\:numbers:}\:2+2=4\\x+4=x+4$

Hope this helps and have a great day!!!

$Sofia$

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What is 7/9, 13/18, 5/6, and 2/3 in least to greatest order?

Vlad [161]

Answer:

2/3 , 13/18, 7/9 , 5/6 (least to greatest order)

Step-by-step explanation:

1. You need to convert all the fractions into decimal form .

2. 7/9.00 = 0.78 (rounded)

3. 13/18.00 = 0.72

4. 5/6.00 = 0.83

5 . 2/3.00= 0.67 (rounded)

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3 years ago

Ellie earns money by raking leaves. She earns $2.25 for each bag she fills with leaves. This week, she earns $24,75. How many ba

Pepsi [2]

Answer:

she raked 11 bags of leaves

Step-by-step explanation:

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2 years ago

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3 years ago

A share of stock in the Lofty Cheese Company is quoted at 25 1/4. Suppose you hold 30 shares of that stock, which you bought at

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I don't know the options, but I can say this:

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3 years ago

A parallelogram has sides of 18 and 26 ft, and an angle of 39° . Find the shorter diagonal

Fed [463]

Answer:

16.51

Step-by-step explanation:

In a parallelogram, the opposite angles are always equal in measure. So two of the angles in the parallelogram measure 39 degrees each.

The sum of angles of the parallelogram must be 360 degrees. Let the other two angles be x degree each. We can set up the following equation for the angles:

39 + 39 + x + x = 360

78 + 2x = 360

2x = 282

x = 141

This means, the other two angles measure 141 degree each. The shorter diagonal will be opposite to the shorter angle.

Hence, the diagonal opposite to the angle 39 degree will be the shorter one. A diagonal divides the parallelogram in two triangles. So we will have two sides and an included angle and we have to find the third side of the triangle which can be found using the law of cosines. Let the third side be c as shown in image below, using the law of cosines, we can write:

$c^{2} = a^{2}+ b^{2} -2ab cos(\gamma)\\\\c^{2}=18^{2}+26^{2}-2(18)(26)cos(39)\\\\ c^{2}=272.59\\\\ c=16.51$

Thus the shorter diagonal will be 16.51 feet in measure.

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2 years ago