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lianna [129]
3 years ago
5

Evaluate each expression for the given value of the variable 60 over m;m=5

Mathematics
1 answer:
givi [52]3 years ago
8 0
60/5 = 12
60 divides by 5
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Solve the equation ​
UNO [17]

Answer:

x = 10

Step-by-step explanation:

2x/3 + 1 = 7x/15 + 3

<em><u>(times everything in the equation by 3 to get rid of the first fraction)</u></em>

2x + 3 = 21x/15 + 9

<em><u>(times everything in the equation by 15 to get rid of the second fraction)</u></em>

30x+ 45 = 21x + 135

<em><u>(subtract 21x from 30x; subtract 45 from 135)</u></em>

9x = 90

<em><u>(divide 90 by 9)</u></em>

x = 10

<h2>Another solution:</h2>

2x/3 + 1 = 7x/15 + 3

<u><em>(find the LCM of 3 and 15 = 15)</em></u>

<u><em>(multiply everything in the equation by 15, then simplify)</em></u>

10x + 15 = 7x + 45

<u><em>(subtract 7x from 10x; subtract 15 from 45)</em></u>

3x = 30

<em><u>(divide 30 by 3)</u></em>

x = 10

4 0
3 years ago
The figure below shows concentric circles, both centered at 0.0
Rama09 [41]

Answer:

  C.  18 cm

Step-by-step explanation:

The ratio of the sides of the triangle shown is 12 : 15 = 4 : 5. We know it is a right triangle, so we know the missing side length completes the ratio

  3 : 4 : 5 = 9 : 12 : 15

Half of XY is 9 cm, so the length of the entire chord is 18 cm.

_____

The chord is tangent to the inner circle, so makes a 90° angle with the radius to that tangent point. This tells you that the triangle shown is a right triangle. It also tells you that the short radius bisects the chord. The Pythagorean theorem can be used to find the length of the side not shown (half the chord length).

The unknown side (a) can be found from  ...

  15² = 12² +a²

  225 -144 = a² . . . . . . subtract 12²

  81 = a² . . . . . . . . . . .  simplify

  9 = a . . . . . . . . . . . . . take the square root

The chord length is 2a, so is ...

  2(9 cm) = 18 cm . . . . length of chord XY

7 0
3 years ago
Determine whether the equation is an identity or whether it has no solution. 2(a-3)=4a(2a-6)​
PSYCHO15rus [73]

Answer:

It has no solution.

4 0
3 years ago
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What's the domaing and range of this <br><br> (sorry for the quality, its the best I could get)
Schach [20]

Answer:

domain: [-3,2]

range: [-3,2]

Step-by-step explanation:

domain: all possible x values *maximum values of x

range: all possible y values *maximum values of x

brackets means the max while parenthesis mean infinite

8 0
3 years ago
Antar is flying a triangular-shaped kite. It has a height of 4 1/2 feet and a base of 5 3/4 feet. What is the area of Antar's ki
kotykmax [81]
Area\ of\ triangle: \\  \frac{1}{2}bh \\  \\  \frac{1}{2}(4.5\ feet)(5.75\ feet) \\  \\ \boxed{12.9375\ feet^{2}}
8 0
3 years ago
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