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kobusy [5.1K]
3 years ago
9

Solve the system of equations: 4x - 3=-2x + 9

Mathematics
2 answers:
Karolina [17]3 years ago
8 0

Answer:

x=2

Step-by-step explanation:

Step 1: Add 2x to both sides.

4x−3+2x=−2x+9+2x

6x−3=9

Step 2: Add 3 to both sides.

6x−3+3=9+3

6x=12

Step 3: Divide both sides by 6.

<u>6</u><u>x</u><u> </u><u>=</u><u> </u><u>1</u><u>2</u>

6 6

x=2

zlopas [31]3 years ago
6 0

Answer:

42 as i dont know so ask jeff ma boy from da sewers

Step-by-step explanation:

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If Layla gets paid $948 a slow week . The employees Marco gets paid $9 an hour ,Stephanie gets paid $10.50 an hour ,and Destiny
deff fn [24]

Answer:

they all got paid 474$ all together

Step-by-step explanation:

destiny worked 12 hours and made 240.17$

Stephanie worked 12 hours and made 126.17$

Marco worked 12 hours and made 108.17$

this all adds up to 474.50$ which is exactly half of 949$

5 0
3 years ago
a spherical balloon is deflated at a rate of 256pi/3 cm^3/sec. at what rate is the radius of the balloon changing when the radiu
Hunter-Best [27]
What you need to look for is \frac { dr }{ dt } when r=8.

Now:

Volume\quad of\quad a\quad sphere:\\ \\ V=\frac { 4 }{ 3 } \pi { r }^{ 3 }

\therefore \quad \frac { dV }{ dr } =\frac { 4 }{ 3 } \pi \cdot 3{ r }^{ 2 }=4\pi { r }^{ 2 }\\ \\ \therefore \quad \frac { dr }{ dV } =\frac { 1 }{ \frac { dV }{ dr }  } =\frac { 1 }{ 4\pi { r }^{ 2 } }

And:\\ \\ \frac { dV }{ dt } =-\frac { 256\pi  }{ 3 } \\ \\ Therefore:\\ \\ \frac { dr }{ dt } =\frac { dr }{ dV } \cdot \frac { dV }{ dt }

\\ \\ =\frac { 1 }{ 4\pi { r }^{ 2 } } \cdot -\frac { 256\pi  }{ 3 } \\ \\ =-\frac { 256 }{ 12 } \cdot \frac { \pi  }{ \pi  } \cdot \frac { 1 }{ { r }^{ 2 } }

\\ \\ =-\frac { 64 }{ 3{ r }^{ 2 } } \\ \\ When\quad r=8,\\ \\ \frac { dr }{ dt } =-\frac { 64 }{ 3\cdot { 8 }^{ 2 } } =-\frac { 1 }{ 3 } \\ \\ Answer:\quad -\frac { 1 }{ 3 } \quad cm/sec
3 0
3 years ago
3. Triangle JKL is shown below. Which of the following is not a true statement about
alina1380 [7]

Option A is true because the sum of angles in a triangle is 180, so we can rule that one out immediately.

We can solve for x for the other 3 options by setting up this equation:

7x+2 + 4x+7 + 8x = 180 | Simplify

19x + 9 = 180 | Subtract 9

19x = 171 | Divide by 19
x=9

Now we can substitute x into all the values:
<J = 7x+2 = 65
<L = 4x+7 = 43
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Looking at the options again, we can see that A, B, and D are true, leaving C to be false.

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sesenic [268]
-7-w<10
Add 7 to each side
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Step-by-step explanation:

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