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Anna [14]
3 years ago
12

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

Mathematics
1 answer:
viktelen [127]3 years ago
7 0

Answer:

Second number line(from top to bottom).

Step-by-step explanation:

We are given the following inequality:

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

It is solved similarly to an equality, so:

24 - 12x < 6x - 30

-18x < -54

Multiplying by -1, the signal changes from < to >. So

18x > 54

x > \frac{54}{18}

x > 3

Thus the correct answer is given by the second number line.

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Answer: i don’t know

Step-by-step explanation:

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4 years ago
For a field trip 29 students rode in cars and the rest filled eight buses. how many students were in each bus if 237 students we
Inessa [10]
So if 29 students rode in cars, we can subtract 29 from 237 because we don't need to know about the people in the cars, which means that 208 students rode on buses. If there were 8 buses, the we need to divide 208 by 8 which makes 26 students per bus.

I hope this helps!
4 0
3 years ago
If the endpoints of the diameter of a circle are (8, −6) and (4, −2), what is the standard form equation of the circle?
Gennadij [26K]
We do the midpoint formula to find the center of the circle to get the left side of the equation.

Midpoint = [(X₁ + X₂) / 2 , (Y₁ + Y₂) / 2] 

Now plug in:

[(8 + 4) / 2 , (- 6 - 2) / 2]
(12 / 2 , - 8 / 2)
(6, - 4)

The center of the circle is (6, -4)

Now we plug it into the equation of a circle:

(x - h)² + (y - k)² = r² where (h, k) is the center of the circle and r is the radius. 

(x - 6)² + (y + 4)² = r² is the left side of the equation. This will eliminate options A and C

Now we do the distance formula using the center and an endpoint to get the radius. The formula for distance is:

√((X₂ - X₁)² + (Y₂ - Y₁)²)

We plug in using either of the endpoints. 

√((4 - 6)² + (- 2 - (- 4))²)
√((-2)² + 2²)
√(4 + 4)
√8

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(√8)² = 8

Your correct answer is (x - 6)² + (y + 4)² = 8, Option D
3 0
4 years ago
The following data shows the scores Gina obtained on 12 IQ tests: 93, 83, 74, 74, 83, 92, 93, 94, 90, 87, 83, 86 The box plot be
labwork [276]
Maxium value equal to 99 i think but idk for sure
5 0
4 years ago
Read 2 more answers
What is the value of x and y​
swat32

Step-by-step explanation:

(25x+8)°+(9x+2)°=180--->(1)(sum of angles on a straight line

(7y+5)°=(9x+2)°------------->(2)(vertical angles)

25x°+8°+9x°+2°=180°

34x°=170°

x=5°

from equation (2) substitute for x=5°

7y°+5°=9x°+2°

7y°+5°=9(5)°+2°

7y°=47°-5°

7y°=42°

y=6°

(x, y)=(5°,6°)

4 0
3 years ago
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