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Alona [7]
3 years ago
10

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

Mathematics
1 answer:
timofeeve [1]3 years ago
4 0

Answer: Choice B

Open circle at 3. Shading to the right

========================================================

Work Shown:

3(8 - 4x) < 6(x - 5)

24 - 12x < 6x - 30

24 + 30 < 6x + 12x

54 < 18x

18x > 54

x > 54/18

x > 3

We use an open circle at 3 to indicate we don't include this endpoint as part of the solution. The solution set is everything larger than 3, so we shade to the right of this open circle.

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Sara missed 7 of 184 school days this year. Approximately what percent of school days was Sara present?
gayaneshka [121]

Answer:

B. 96%

Step-by-step explanation:

Sara only missed 7 days of 184 days this year meaning 184 - 7 = 177 and

177 is how many days she attended school, so to figure out percentage take the number of days she attended school and divide by the total amount of days in this year which is 184: 177/184 = 0.96195652173

then multiply by 100 to get percentage so approximately 96%.

7 0
3 years ago
Question is in the picture
irakobra [83]

Answer:

49.4 (rounded to the nearest tenth)

Step-by-step explanation:

You need to use the Pythagorean theorem -> a^{2} + b^{2} = c^{2} -> c^{2} is the hypotenuse

         a^{2} + b^{2} = c^{2}

(7x + 7)^{2} + 5x = c^{2}

(7x7)^{2} + (5x7) = c^{2}

      49^{2} + 35 = c^{2}

          2436 = c^{2}

         \sqrt{2436} = c

                 c = 49.355850717

                 c = 49.4 (round to the nearest tenth)

hope this helps, sorry if it is not right

     

4 0
3 years ago
Help, I need the area
GenaCL600 [577]
Answer- 314.16


Area =3.14 x r^2

Area =3.14 x 10^2= 314.16
6 0
3 years ago
Please help me !! ! !
Vesna [10]
Option a. option a has an answer of x=13, while the other problems have solutions of x=5.
3 0
3 years ago
Find the greatest common factor of the following monomials : 10b^5 , 26b^6
charle [14.2K]

Answer:

2b^5.

Step-by-step explanation:

The Greatest Common Factor of 10 and 26 is 2.

The GCF of b^5 and b^6 is 5^5.

Answer is 2b^5.

4 0
3 years ago
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