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olga nikolaevna [1]
4 years ago
8

What is

frac{15}{4}b + \frac{5}{6} b" alt="-\frac{15}{4}b + \frac{5}{6} b" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
murzikaleks [220]4 years ago
4 0

Answer:

Step-by-step explanation:

First, let's get common denominators for both fractions -- in this case, the least common multiple of 4 and 6 is 12.

-\frac{15}{4}b + \frac{5}{6}b

-\frac{45}{12}b + \frac{10}{12}b

Combining the terms together by adding the numerators will give us the answer:

\frac{-45 + 10}{12}b

-\frac{35}{12}b

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(1, 3) is 5 units to the right of (-4, 3)
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Which statements are true about the ordered pair (2, 3) and the system of equations?
adoni [48]

Answer:

The Correct Answer are

  • The ordered pair (2, 3) is not a solution to the system of linear equations.
  • When (2, 3) is substituted into the first equation, the equation is true.
  • When (2, 3) is substituted into the second equation, the equation is false.​

Step-by-step explanation:

The Correct Answer are

  • When (2, 3) is substituted into the first equation, the equation is true.

3x + 4y = 18   equation ( 1 )

3×2 + 4×3 = 18

6 + 12 = 18

18  = 18

  • When (2, 3) is substituted into the second equation, the equation is false.​

2x – 2y = 2

2×2 - 2×3= 4 - 6 = -2≠2

  • The ordered pair (2, 3) is not a solution to the system of linear equations.

Solution means if we (2, 3) Substitute in both the Equation it Must Satisfy

But in Equation 1  it Satisfy

and in Equation 2 Not satisfy

Therefore It is NOT a solution to the system.

6 0
3 years ago
Please help me! I only have a short amount of time!
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Answer:

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Step-by-step explanation:

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In order to find the diameter, you would have to multiply the radius by 2.

In order to find the radius, you would have to divide the diameter by 2.

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Ben and Alyssa play a game in which they earn the same number of points for each goal and lose the same number of points for eac
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Answer:

Each goal gives 5 points and a penalty costs 7 points.

Step-by-step explanation:

Let a penalty cost = x points

And a goal gives = y points

Ben makes 7 goals and 2 penalties ending the game with 21 points,

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Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,

10y - 8x = -6

5y - 4x = -3 --------(2)

Equation (1) multiplied by 2, then subtracted from equation (2),

(5y - 4x) - 2(7y - 2x) = -3 - 2(21)

5y - 4x - 14y + 4x = -3 - 42

-9y = -45

y = 5

From equation (1)

7(5) - 2x = 21

35 - 2x = 21

2x = 35 - 21

2x = 14

x = 7

Therefore, each goal gives 5 points and a penalty costs 7 points.

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The value of 2 in 204.75 is how many times in the value of the 2 in 103.52
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