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charle [14.2K]
2 years ago
11

Which inequality has an arrow pointing to the left when the solution set is graphed on a number line?

Mathematics
1 answer:
kupik [55]2 years ago
5 0

Answer:

x \le 5

Step-by-step explanation:

Given

Options (a) to (d)

Required

Which represents an arrow pointing left

When an arrow points left on an inequality graph, the inequality is either of the following:

x < a or x \le a

From the given options (a) to (d), only x \le 5 fits the above description.

Other options illustrate an arrow pointing to the right

To further explain this;

Looking at (b), we have:

4 \le x

This is rewritten as:

x \ge 4 --- the same form as (c) and (d)

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Answer:

The bank charged 56 dollars in interest

7 0
3 years ago
What is the measurement of
Sophie [7]

Answer: Angle A = 120° and angle C = 45°

Step-by-step explanation: The first thing to note at the back of our minds is that the sum of the interior angles of a triangle equals 180°. Given that the three angle are available, we can start by adding them all together. Hence,

{12x + 12} + 15 + {3x + 18} = 180

12x + 12 + 15 + 3x + 18 = 180

By collecting like terms, we arrive at,

12x + 3x + 12 + 15 + 18 = 180

15x + 45 = 180

Subtract 45 from both sides of the equation

15x = 135

Divide both sides of the equation by 15

x = 9

At this point, we can now substitute for the value of x = 9 in the expressions representing angles A and C.

Angle A = 12x + 12

= 12(9) + 12

= 108 + 12

= 120

Angle A = 120°

Angle C = 3x + 18

= 3(9) + 18

= 27 + 18

= 45

Angle C = 45°

8 0
2 years ago
How many times does 61 go into 340
TiliK225 [7]
I think maybe about 5 times
4 0
2 years ago
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A cylindrical tank with a radius of 12 inches and a height of 20 inches is full of water. Does the tank have enough water to fil
Reptile [31]

Answer:

Yes, it can.

Step-by-step explanation:

To know if you can fill all the water balloons with the tank, the first thing is to calculate the volume of each one.

Volume of the tank, is a cylinder, whose volume is given as follows:

Vc = Pi * Rc ^ 2 * h

 

The radius of the cylinder has a value of 12 inches and the height of 20 inches. Thus:

Vc = 3.14 * (12) ^ 2 * 20 = 9043.2 inches ^ 3

Now, the volume of each globe that is a sphere is given by the following equation:

Ve = (4/3) * Pi * Re ^ 3

Being the radius of the sphere of 2, we have to:

Ve = (4/3) * 3.14 * 2 ^ 3 = 33.5 inches ^ 3

Now to know if you can fill all the balloons, we calculate the volume ratio of the tank and a balloon.

Vc / Ve = 9043.2 /33.5 = 269.95

Therefore, it can fill the 250 balloons because it has the capacity to carry approximately 269 balloons.

8 0
2 years ago
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I need help with this I don’t get it d it d in get it right
Anna007 [38]

Answer:

d

Step-by-step explanation:

3 0
2 years ago
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