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Mice21 [21]
3 years ago
5

Find the common factor of all the terms of the polynomial 10x - 30.

Mathematics
1 answer:
Virty [35]3 years ago
4 0
The common factor in both terms is 10<span />
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Suppose the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an in
zepelin [54]

Answer:

  • <em><u>average yearly salary of an individual whose final degree is a masters:</u></em><u> $ 66 thousand</u>

<u></u>

  • average yearly salary of an individual whose final degree is a bachelors:<u> $ 56 thousand</u>

Explanation:

You can set a system of equation using the following steps:

1. Name the variables:

  • average yearly salary of an individual whose final degree is a masters: x

  • average yearly salary of an individual whose final degree is a bachelors: y

2. Set the equations that relate the variables:

  • the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an individual whose final degree is a bachelors:

        equation (1): x = 2y - 46

  • combined, two people with each of these educational attainments earn $122 thousand:

         equation (2): x + y = 122

3. Solve the system:

  • x = 2y - 46 . . . equation (1)
  • x + y = 122 . . . equation (2)

Substitute equation (1) into equation (2)

  • 2y - 46 + y = 122

Solve for y:

  • 3y = 122 + 46
  • 3y = 168
  • y = 168 / 3
  • y = 56 (this means that the average yearly salary with a bachelors degree is $ 56 thousand).

Subsitute the value on y in equation 1, to find the value of x:

  • x = 2y - 46 = 2(56) - 46 = 112 - 46 = 66.

Thus, the average yearly salary of a person with a masters degree is $ 66 thousand.

4 0
4 years ago
Ive been struggling with this problem can someone help. Thank you
borishaifa [10]

Answer:

70 degrees

Step-by-step explanation:

Angles 130 degrees and TUV are supplementary angles.  Thus, the latter is (180 - 120), or 60, degrees.  Now the sum of all three interior angles of this triangle must be 180 degrees:  (60 + 50 + >TUV) = 180, so >TUV is 70 degrees (answer C).

3 0
3 years ago
A ticket to see your favorite baseball team costs $45.18. That price decreases by $0.23 for every game lost during the regular s
adell [148]

Answer:

The price after 33 loses would be 37.59

Step-by-step explanation:

8 0
3 years ago
I need help with this im confused
slamgirl [31]
700000 hope this helps lol sorry I just need one of my questions answered
4 0
3 years ago
Can someone please help on this question
Gemiola [76]

Answer:

The volume of the regular tetrahedron is 283.5 m³

Step-by-step explanation:

The formula of the volume of the regular tetrahedron is V = \frac{1}{3} A h, where

  • A is the base area of it
  • h is the height of it

∵ The area of the base of a regular tetrahedron is 98.9 m²

∴ A = 98.9 m²

∵ The height of it is 8.6 m

∴ h = 8.6 m

→ Substitute them in the formula of the volume above

∵ V = \frac{1}{3} (98.9)(8.6)

∴ V = 283.5133333 m³

→ Round it to the nearest tenth of a cubic meters

∴ V = 283.5 m³

∴ The volume of the regular tetrahedron is 283.5 m³

8 0
3 years ago
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