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4vir4ik [10]
3 years ago
8

I have problems Understanding systems Variable like this example

Mathematics
1 answer:
Anastaziya [24]3 years ago
7 0
<span><span><span><span>4x</span>−<span>2y</span></span>+z</span>=8
</span>Step 1: Add 2y to both sides        <span><span><span><span><span>4x</span>−<span>2y</span></span>+z</span>+<span>2y</span></span>=<span>8+<span>2y</span></span></span><span><span><span>4x</span>+z</span>=<span><span>2y</span>+8
</span></span>Step 2: Add -z to both sides         <span><span><span><span>4x</span>+z</span>+<span>−z</span></span>=<span><span><span>2y</span>+8</span>+<span>−z</span></span></span><span><span>4x</span>=<span><span><span>2y</span>−z</span>+8
</span></span>Step 3: Divide both sides by 4      <span><span><span>4x</span>4</span>=<span><span><span><span>2y</span>−z</span>+8</span>4</span></span><span>x
=<span><span><span><span>1/2</span>y</span>+<span><span><span>−1/</span>4</span>z</span></span>+<span>2

</span></span></span><span><span><span>−y</span>+z</span>=4
</span>Step 1: Add -z to both sides          <span><span><span><span>−y</span>+z</span>+<span>−z</span></span>=<span>4+<span>−z</span></span></span><span><span>−y</span>=<span><span>−z</span>+4
</span></span>Step 2: Divide both sides by -1     <span><span><span>−y</span><span>−1</span></span>=<span><span><span>−z</span>+4</span><span>−1</span></span></span><span>y

=<span>z−<span>4

</span></span></span><span><span>2z</span>=4
</span>Step 1: Divide both sides by 2  <span><span><span>2z/</span>2</span>=<span>4/2
</span></span><span>=z=2</span><span>
</span>
<span>

</span>
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A summer camp cookout is planned for the campers and their families. there is room for 450 people. each adult costs $7, and each
Yuri [45]

Hence, the required inequality is x+y≤4, 7x+4y≤1150

<h2>What is inequality?</h2>

inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

<h3>How to solve?</h3>

Let x be the number of adults and y be the number of campers.

There are rooms for 450 people, so

x+y≤450.

Each adult costs $7, then x adults cost $7x.

Each camper costs $4, then y campers cost $4y.

There is a maximum budget of $1,150, so

7x+4y≤1,150

Hence, you get the system of two inequalities:

         x+y≤4

         7x+4y≤1150

to learn more about inequality: brainly.com/question/16562548

#SPJ4

3 0
2 years ago
The long climbing rope is 100 feet long. The long climbing rope is ten times longer than the shorter safety rope. How many feet
saw5 [17]

Answer:

10 feet

Step-by-step explanation:

100/10=10

8 0
3 years ago
Ashley mixes two types of soft drinks with different types of concentration: one soft drink has 20% sugar and the other drink ha
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3 0
3 years ago
-25(10-x)=5x+50 <br><br> I don’t understand how to solve this math problem
Tanya [424]

I'm sorry to hear your stuck! Let''s learn how to do this.

Simplify both sides of the equation!

−25(10−x)=5x+50

(−25)(10)+(−25)(−x)=5x+50 - Distribute

−250+25x=5x+50

25x−250=5x+50

Now subtract 5x to each side.

25x−250−5x=5x+50−5x

20x−250=50

Add 250 to both sides. (We need to get x by itself)

20x−250+250=50+250

20x=300

Divide both sides by 20!

You get x = 15.

I'd take notes and look through on how this problem was solved for future references.

Have a good one!

3 0
4 years ago
Pls show your work!
Ymorist [56]
The volume of the small one is (3x)(x)(2x)=6x^3. The volume of the large one is (2x)(4x)(3x)=24x^3...... 24x^3/6x^3= 4 The answer is 4
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