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horsena [70]
3 years ago
5

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Check all that apply.

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
5 0

The correct answer is –6x + 15 < 10 – 5x.

We can tell this by solving for x.

–3(2x – 5) < 5(2 – x) ----> Multiply to the parenthesis.

-6x + 15 < 10 - 5x ----> This is answer #3 and now we add 5x to both sides

-x + 15 < 10 ----> subtract 15 from both sides

-x < -5 ----> Divide by -1

x > 5 (Note that you have to change the direction of the sign when dividing by a -1. Therefore it does not match answer #1).

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The 1st selection is appropriate.
7 0
3 years ago
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In the morning, the number of ducks at the reservoir was 80. By noon, the reservoir had 135 ducks. What was the percent of chang
Mekhanik [1.2K]

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60 percent

Step-by-step explanation:

number of ducks in morning=80

ducks in after noon=135

for percentage

80/135=0.5925=0.60

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4 0
2 years ago
What is 12 divided by 12 i think its 146
MissTica

Answer:

12 divided by 12 is 1

Step-by-step explanation:

A calculator helped me

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Susan and Mark are standing at different places on a beach and watching a bird. The angles of elevation they make are 20º and 50
Mandarinka [93]

Answer:

The bird is 2.44km high

Step-by-step explanation:

Hello,

To solve this question, we need to understand how they are and we can only get this with a correct pictorial diagram.

See attached document for better understanding.

From the first diagram, we understand that the bird is between them and also on top of them.

Assuming Susan, Mark and the bird all form a triangle at each other and the bird at the top, we can divide the the triangle into two equal parts.

But before then, we should know that sum of angles in a triangle is equal to 180°

Therefore,

20° + 50° + b° = 180

70° + b = 180

b = 180° - 70°

b = 110°

Dividing angle b into two equal parts = 55° on each side.

See the last attached document for better illustration.

Using SOHCAHTOA, we can find the adjacent of the triangle which corresponds to the height of the bird.

We have opposite = 3.4km and we're looking for adjacent. We can use tangent of the angle to find the adjacent.

Tanθ = opposite / adjacent

Tan 55° = 3.5 / adj

Adjacent = 3.5 / tan55

Adjacent = 3.5 / 1.43

Adjacent = 2.44km

The height of the bird is 2.44km

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3 years ago
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Answer:

(0, 2)

Step-by-step explanation:

Both the lines are intersecting each other at point (0, 2)

So, the solution to the system of equations would be (0, 2)

Hope it helps you in your learning process

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3 years ago
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