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LenKa [72]
2 years ago
6

Solve the following inequalities for the variable, x.

Mathematics
2 answers:
Ede4ka [16]2 years ago
7 0

multiply both sides by 3

Step-by-step explanation:

3(x/3)+3(5)<12×3

x+15<36

x<36 _15

x<21

stepan [7]2 years ago
5 0

Hi there,

We need to solve this inequality for x. Solving an inequality takes <em>several steps. </em>These steps depend on what kind of inequality you're solving.

With this particular inequality the steps are as follows.

<em>Inequality</em> \frac{x}{3}+5 < 12

<em>Steps </em>1. Take \ 5 \ from \ both \ sides: \frac{x}{3} < 7

         2. Multiply \ both \ sides \ by \ 3 \ to \ clear \ fractions. \bold{x < 21}

<h3>answer -- \boxed{x < 21}</h3>

<em>I hope the answer - and explanation - made sense,</em>

<em>happy studying.</em>

<em>                                                                                           </em>\textit{\textbf{Frozen \ melody}}

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valentina_108 [34]

Here is the equation:

f(x)=4x+1

You need to find f(3). To do that, substitute all the x's with 3:

f(x)=4x+1 \rightarrow f(3)=4\times3 + 1

The first thing you need to do is multiply 4 by 3. Multiply:

4 \times 3 = 12

Here is your new equation:

f(3)=12+1

To get your answer, you need to add 12 and 1. Add:

12+1 = 13

That means:

\bf f(3)=13

<em>If you have any questions, feel free to ask in the comments! :)</em>

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3 years ago
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The coordinates of the vertices of △JKL are J(3, 4), K(3, 1) , and L(1, 1) . The coordinates of the vertices of △J′K′L′ are J′(−
timurjin [86]

The <em><u>correct answer</u></em> is:

A 180° rotation followed by a translation 1 unit down.

Explanation:

The points are mapped as follows:

J(3, 4)→J'(-3, -5)

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L(1, 1)→L'(-1, -2)

A 180° rotation maps a point (x, y) to (-x, -y).  This would map

J(3, 4)→(-3, -4)

K(3, 1)→(-3, -1)

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The difference between these points and the image points are that each y-coordinate of the image is 1 lower than these.  This means a translation 1 unit down would result in the image points.

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3 years ago
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kodGreya [7K]

Answer:

Number of adult tickets sold= 100

Step-by-step explanation:

Giving the following information:

Adults tickets= $15

Student tickets= $10

Number of tickets sold= 150

Total sales= $2,000

<u>First, we determine the systems of equations:</u>

15*x + 10*y= 2,000

x + y = 150

x= number of adults tickets sold

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<u>Now, we isolate x in one equation, and substitute it in the other one:</u>

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15*100 + 10*50= 2,000

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