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Ierofanga [76]
1 year ago
5

Select the correct answer. What is the solution for x in the equation 5/3x + 4= 2/3x? A. B. C. D.

Mathematics
2 answers:
7nadin3 [17]1 year ago
3 0

\boldsymbol{\sf{\dfrac{5}{3}x+4=\dfrac{2}{3}x   }}

<em>Subtract</em> 2/3x on both sides.

\boldsymbol{\sf{\dfrac{5}{3}x+4-\dfrac{2}{3}x=0    }}

Combine 5/3x and -2/3x to get x.

\boldsymbol{\sf{x+4=0 }}

Subtract 4 from both sides. <em>Any value</em> subtracted from zero results in its negative value.

\boldsymbol{\sf{x=-4 }}

MAVERICK [17]1 year ago
3 0

Answer:

x = - 4

Step-by-step explanation:

\frac{5}{3} x + 4 = \frac{2}{3} x ( multiply through by 3 to clear the fractions )

5x + 12 = 2x ( subtract 2x from both sides )

3x + 12 = 0 ( subtract 12 from both sides )

3x = - 12 ( divide both sides by 3 )

x = - 4

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A = 4 units B= 3 units C= 3.5. D= 5 units
aliya0001 [1]

D would be the correct answer.

Explanation

a^2+b^2=c^2

4^2+3^2=c^2

16+9

25 units

4 0
3 years ago
Between what two integers is √95?
andrey2020 [161]

Answer:

Between 9 and 10.

Step-by-step explanation:

We know that √81 = 9 and that √100 = 10.

Since √95 is between √81 and √100, we know it will be between 9 and 10.

√95 = 9.74679

4 0
3 years ago
Solve the triangle. A = 54°, b = 11, c = 8
Delicious77 [7]
In this problem, you apply principles in trigonometry. Since it is not mentioned, you will not assume that the triangle is a special triangle such as the right triangle. Hence, you cannot use Pythagorean formulas. The only equations you can use is the Law of Sines and Law of Cosines.

For finding side a, you can answer this easily by the Law of Cosines. The equation is

a2=b2 +c2 -2bccosA
a2 = 11^2 + 8^2 -2(11)(8)(cos54)
a2 = 81.55
a = √81.55
a = 9 

Then, we use the Law of Sines to find angles B and C. The formula would be

a/sinA = b/sinB = c/sinC
9/sin54° =  11/sinB
B = 80.4°

9/sin54° = 8/sinC
C = 45.6°

The answer would be: a ≈ 9, C ≈ 45.6, B ≈ 80.4
5 0
3 years ago
<img src="https://tex.z-dn.net/?f=the%20%5C%3A%20angle%20%5C%3A%20of%20%5C%3A%20measure%20%5C%3A%20%20%5Cfrac%7B31%5Cpi%7D%7B6%7
Yakvenalex [24]

Answer:

3rd quadrant

Step-by-step explanation:

  • First we just convert the angle from radians to degrees
  • \frac{31\pi radians }{6}*\frac{180degrees}{\pi radians}  =\frac{31*180}{6} degrees=930degrees
  • Now that's too big, all this means is if we start rotating from the positive y-axis in a circle we will cross the starting point 2 times, 2 full circles;
  • 930degrees-360degrees=570degrees\\570degrees-360degrees=210degrees  
  • Now in which quadrant it 210 degrees?
  • 0 degrees to 90 degrees is 1st quadrant
  • 90 degrees to 180 degrees is 2nd quadrant
  • 180 degrees to 270 degrees is 3rd quadrant
  • 270 degrees to 360 degrees is 4th quadrant
  • So our answer is the 3rd quadrant.
7 0
3 years ago
The temperature falls from 3 degrees Celsius to -4 degrees celcius what is the the difference in these temperatures
STatiana [176]

Answer:

7

Step-by-step explanation:

3 - -4=7

6 0
3 years ago
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