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Ivenika [448]
3 years ago
12

Write the expanded form of 5(2a+b -6)

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
7 0

Answer:

10a+5b-30

Step-by-step explanation:

Apply the distributive law = ma + mb +  mc

5 (2a+b-6) = 5 2a + 5b + 5 (-6)

Then Simplify: 5 2a + 5b + 5 (-6)

= 10a+5b-30

Hope this helps :D

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To rent a certain meeting room, a college charges a reservation fee of $39 and an additional fee of $5.80 per hour. The film clu
spin [16.1K]

Answer:

The inequality is x less than or equal to 6. So the amount of hours they can rent it is  6 hours or less.

Step-by-step explanation:

5.80x + 39 <_ 73.80 ----> subtract 39 on both side to get ---> 5.80x <_ 73.80 -----> then divide by 5.80 on both sides to get ---> x <_ 6.

Hope this helped!

4 0
3 years ago
Given triangle ABC with sides AB = 3x + 4 , BC = 2x + 5 , and AC = 4x , determine the values of x such that triangle ABC exists
Jlenok [28]

Answer:

  x > 1/5

Step-by-step explanation:

All of these three triangle inequalities must be satisfied:

  AB +BC > AC

  BC +CA > BA

  CA +AB > CB

___

Taking these one at a time, we have ...

  AB +BC > AC

  3x +4 + 2x +5 > 4x

  x +9 > 0 . . . . . subtract 4x

  x > -9

__

  BC +CA > BA

  2x +5 + 4x > 3x +4

  3x > -1 . . . . . . subtract 3x+5

  x > -1/3 . . . . . divide by 3

__

  CA + AB > CB

  4x + 3x +4 > 2x +5

  5x > 1 . . . . . . subtract 2x+4

  x > 1/5

___

The only values of x that satisfy all of these inequalities are those such that ...

  x > 1/5

8 0
3 years ago
What is the equation of a horizontal line passing through the point (1, 14)?
Klio2033 [76]
The equation line passing through a point is understood to be parallel to the x-axis. In this case, the equation should be expressed as y = b where b is any number. Since y = 14 in the point (1,14), the equation of horizontal line passing through this point is y = 14. 
3 0
3 years ago
Read 2 more answers
What is the point-slope form of a line that has a slope of 3 and passes through point (1, 4)? y minus 4 = 3 (x minus 1) 1 minus
Tresset [83]

Answer:

y - 4 = 3(x - 1)

Step-by-step explanation:

It looks like you have slope 3  and a point (1, 4)

so  it should be  y - 4 = 3(x - 1)

which is your first choice:  y minus 4 = 3 (x minus 1)

7 0
4 years ago
Read 2 more answers
If y varies inversely as x, and y = 23 when x<br> 8, find y when x 4.
Virty [35]

Answer:

y = 46

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k use the condition y = 23 when x = 8 , then

23 = \frac{k}{8} ( multiply both sides by 8 )

184 = k

y = \frac{184}{x} ← equation of variation

When x = 4 , then

y = \frac{184}{4} = 46

7 0
3 years ago
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