1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tester [92]
2 years ago
12

What is the value of x in the equation one-fifthx – two-thirdsy = 30, when y = 15? 4 8 80 200.

Mathematics
1 answer:
worty [1.4K]2 years ago
7 0

On solving the linear system, for the value of y = 15, the value of x is 200. The correct option is D.

<h3>What is the linear system?</h3>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

The linear equation is shown below.

\rm \dfrac{1}{5}x - \dfrac{2}{3}y = 30

The equation can be written as

\rm 3x - 10y = 450\\

For y = 15, the value of x will be.

\begin{aligned} \rm 3x - 10*15 &= 450\\\\\rm 3x - 150 &= 450 \\\\\rm 3x &= 600\\\\\rm x &= 200\\\end{aligned}

The value of x is 200.

Thus, option D is correct.

More about the linear system link is given below.

brainly.com/question/20379472

You might be interested in
Veronica lives in North Dakota and pays 5% in sales tax. She just bought $90 in groceries, but $35 worth of those groceries were
gregori [183]
It would be Answer C because you would just do 90 × 0.05 (<- always in decimal form). Which the answer is 94.5 or $94.50. The $35 is just extra information. Hope this helped you!
4 0
3 years ago
Read 2 more answers
Vincent saves $8 each week. How much does he save in a year?<br> $56<br> $60<br> $416<br> $2960
Naya [18.7K]
He will save 416 dollars in one year
4 0
2 years ago
Read 2 more answers
What is the lowest common multiple of 120 160 180
Anna11 [10]
20 it the least common multiple of the numbers given
4 0
3 years ago
Mindy had five test last month. Her scores were 95,86,78,80 &amp; 91 . What Is the range of her scores ?
Paladinen [302]
The range is 17 because the highest score (95) minus the lowest score (78) is 17
5 0
3 years ago
B) The price of an electric fan is fixed 20% above its cost price. When it is sold allowing
kenny6666 [7]

Answer:

\boxed{ \boxed{ \sf {Marked \: price \:  = Rs \: 1500}}}

\boxed{ \bold{ \boxed{ \sf{Selling \: price =  \: Rs \: 1230}}}}

Step-by-step explanation:

Let Cost price ( C.P ) be x

<u>Finding </u><u>the </u><u>Marked </u><u>price </u><u>and </u><u>selling </u><u>price </u>

Marked price = \sf{x + 20\% \: of \: x}

⇒\sf{x +  \frac{20}{100}  \times x}

⇒\sf{ \frac{x \times 100 + 20x}{100} }

⇒\sf{ \frac{120x}{100} } ⇒ ( i )

Selling price = \sf{marked \: price \:  - 18\% \: of \: marked \: price}

⇒\sf{ \frac{120x}{100} -  \frac{18}{100}  \times  \frac{120x}{100} }

⇒\sf{ \frac{120x}{100}  -  \frac{54x}{250} }

⇒\sf{ \frac{120x \times 5 - 54x \times 2}{500} }

⇒\sf{ \frac{600x - 108x}{500} }

⇒\sf{ \frac{492x}{500} } ⇒ ( ii )

<u>Finding </u><u>the </u><u>value </u><u>of </u><u>x </u><u>(</u><u> </u><u>Cost </u><u>price </u><u>)</u>

\sf{loss = cost \: price - selling \: price}

⇒\sf{20 = x -  \frac{492x}{500} }

⇒\sf{20  =  \frac{x \times 500 - 492x}{500} }

⇒\sf{20 =  \frac{8x}{500} }

⇒\sf{8x = 10000}

⇒\sf{x =  \frac{10000}{8} }

⇒\sf{x = \: Rs \:  1250}

Value of x ( cost price ) = Rs 1250

<u>Now</u><u>,</u><u> </u><u>Replacing </u><u>the </u><u>value </u><u>of </u><u>x </u><u>in </u><u>(</u><u> </u><u>i </u><u>)</u><u> </u><u>in </u><u>order </u><u>to </u><u>find </u><u>the </u><u>value </u><u>of </u><u>marked </u><u>price</u>

\sf{marked \: price =  \frac{120x}{100} }

⇒\sf{ \frac{120 \times 1250}{100} }

⇒\sf{   \: Rs \: 1500}

<u>Replacing </u><u>value </u><u>of </u><u>x </u><u>in </u><u>(</u><u> </u><u>ii </u><u>)</u><u> </u><u>in </u><u>order </u><u>to </u><u>find </u><u>the </u><u>value </u><u>of </u><u>selling </u><u>price</u>

\sf{selling \: price =  \frac{492 \: x}{500} }

⇒\sf{ \frac{615000}{500} }

⇒\sf{ \: Rs \: 1230}

Thus , Marked price of the fan = Rs 1500

Selling price of the fan = Rs 1230

Hope I helped!

Best regards!!

6 0
3 years ago
Other questions:
  • -0.2x = 1.6<br> what does x equal
    12·2 answers
  • What are all points between two given points, including the two points? A) angle B) line segment C) parallel lines D) perpendicu
    13·1 answer
  • If V = 5, Y = -3, and Z = - 2 what is the answer to x-5z divided by y
    9·1 answer
  • HELP WILL MARK BRAINLYEST Which number line correctly shows 4.5 – 2.5? ​
    5·2 answers
  • Please help me thank you I appreciate it
    6·2 answers
  • Hi please help me thank you!
    13·1 answer
  • 2 1/2 divided by 5 equals??<br> Options:<br> 25/2<br> 12 1/2<br> 1/2<br> 5/10
    15·1 answer
  • Alan deposited $300 in an account that pays 6% interest compounded continuously. Approximately how long will it take for Alan’s
    5·1 answer
  • Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
    15·2 answers
  • The fish tank was $50 yesterday, and today it<br> has gone up by 25%... What's the new price?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!