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IgorLugansk [536]
2 years ago
14

0.2(x+50)-6=0.4(3x+20)

Mathematics
1 answer:
inessss [21]2 years ago
5 0
0.2(x+50)-6=0.4(3x+20) so like here Let's solve your equation step-by-step.<span><span><span>0.2<span>(<span>x+50</span>)</span></span>−6</span>=<span>0.4<span>(<span><span>3x</span>+20</span>)</span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>0.2x</span>+4</span>=<span><span>1.2x</span>+8</span></span>Step 2: Subtract 1.2x from both sides.<span><span><span><span>0.2x</span>+4</span>−<span>1.2x</span></span>=<span><span><span>1.2x</span>+8</span>−<span>1.2x</span></span></span><span><span><span>−x</span>+4</span>=8 </span>Step 3: Subtract 4 from both sides.<span><span><span><span>−x</span>+4</span>−4</span>=<span>8−4              </span></span><span><span>−x</span>=<span>4 your answer is x=-4 because you divide by a negative 1</span></span>
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8 0
3 years ago
A store sells televisions for $360 and video cassette recorders for $270. At the beginning of the week its entire stock is worth
kaheart [24]

Answer:

The number of Television at the beginning was 90

The number of video cassette recorders at the beginning was 89

Step-by-step explanation:

Selling Price of 1 Television =$360.

Selling Price of 1 video cassette recorders for $270.

Let the number of Television at the beginning=x

Let the number of video cassette recorders at the beginning =y

Opening Stock =$56,430.

Therefore:

  • 360x+270y=$56,430.

It sells three quarters of the televisions and one third of the video cassette recorders for a total of $32,310.

\frac{3}{4}(360)x+\frac{1}{3}(270)y= \$32,310

270x+90y=32310

We then solve the two equations to obtain x and y.

  • 360x+270y=$56,430. (Multiply by 270)
  • 270x+90y=32310          (Multiply by 360)

97200x+72900y=15236100

97200x+32400y=11631600

Subtract

40500y=3604500

y=89

Substitute y=89 into 270x+90y=32310 to obtain x

270x+90(89)=32310

270x=32310-8010=24300

x=90

Therefore:

The number of Television at the beginning was 90

The number of video cassette recorders at the beginning was 89

8 0
3 years ago
Read 2 more answers
What is the rectangular form of the polar equation?<br><br><br> θ=−7π/6
kobusy [5.1K]

Answer:

The rectangular form of the equation is:

y = 0.5774x

Step-by-step explanation:

Given Polar Equation

\theta=\frac{7\pi}{6}

Convert it into rectangular form.

If (r,θ) are the polar coordinates, then the corresponding rectangular coordinates are (x,y), such that:

x=rcos\theta, y=rsin\theta

where tanθ can be taken as:

tan\theta=\frac{y}{x}

Here

\theta=\frac{7\pi}{6}

So

tan\frac{7\pi}{6}=\frac{y}{x}

\frac{\sqrt{3} }{3}=\frac{y}{x}\\\\y=0.5774x

6 0
2 years ago
Please help me with this i need big help in this
hoa [83]

The value of the angle TSU is.97°. Therefore, none of the given options are correct.

<h3>How to calculate the angle?</h3>

From the information given, the value of UZ will be:

= YZ - YU

= 63 - 26

= 37°

UZ = TZ = 37°

Therefore, the value of TSU will be:

= 23° + (37° × 2)

° 23° + 74°

= 97°

In conclusion, the correct option is E.

Learn more about angles on:

brainly.com/question/25716982

#SPJ1

6 0
1 year ago
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