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gladu [14]
3 years ago
6

What is the solution to the system? x + y = 4 x+y=1​

Mathematics
1 answer:
Lelechka [254]3 years ago
4 0

<u>Given</u><u> </u><u>:</u>

  • x + y = 4
  • x + y = 1

<u>To</u><u> </u><u>Find</u><u> </u><u>:</u>

  • The value of x and y.

<u>Answer</u><u> </u><u>:</u>

  • x + y = 4 ....[Equation (i)]
  • x + y = 1......[Equation (ii)]

<u>Adding</u><u> </u><u>eqⁿ (ii) </u><u>and</u><u> eqⁿ (i) we get :</u>

→ x + y + x - y = 4 + 1

→ 2x = 5

→ x = 5/2

→ x = 2.5

<u>Now</u><u>,</u><u> </u><u>put</u><u> </u><u>the</u><u> </u><u>value </u><u>of</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>5</u><u>/</u><u>2</u><u> </u><u>in</u><u> </u><u>eqⁿ</u><u> </u><u>(</u><u>i</u><u>)</u><u> </u><u>we</u><u> </u><u>get</u><u> </u><u>:</u>

→ x + y = 4

→ 5/2 + y = 4

→ y = 4 - 5/2

→ y = 1.5

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Step-by-step explanation: Hope this help :D

4 0
3 years ago
Mr.Lee wants to survey 20 of the 210 students in seventh grade about the hours they slerp each night. He finds 2 of the 20 stude
allsm [11]

21 students sleep for 9 hours each night

<em><u>Solution:</u></em>

Given that, Mr.Lee wants to survey 20 of the 210 students in seventh grade about the hours they sleep each night

He finds 2 of the 20 students surveyed sleep for 9 hours each night

Therefore, 2 out of 20 students sleep for 9 hours each night

Find out the percentage of 2 out of 20

\rightarrow \frac{2}{20} \times 100 = 10 \%

Thus 10 % of 210 students sleep for 9 hours each night

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6 0
3 years ago
If |2x-11 &lt;0, then the value of x is<br>(A) 0<br>(B) -1/2<br>(C) 1<br>(D) 1/2​
Finger [1]

Answer:

A: 0

Step-by-step explanation:

Hopefully this helps!

4 0
3 years ago
John bought three thermos flask at a total of st 1080 he later sold at 400 each what was his percentage ​
trasher [3.6K]

Answer:

\boxed{ \bold{ \boxed{ \sf {11.11\%}}}}

Step-by-step explanation:

Given,

Cost price of three thermos flask = 1080

Selling price of each thermos flask = 400

<u>Finding </u><u>the </u><u>selling </u><u>price </u><u>of </u><u>three </u><u>thermos </u><u>flask</u>

Since, the cost of 3 thermos flask is more than that of 1 thermos flask. So, the cost of 1 thermos flask is multiplied by 3 ( i.e 400 × 3 = 1200 )

Here, the selling price is greater than cost price.

So, there is profit.

And we know that,

\sf{profit = sp \:  -  \: cp}

⇒\sf{1200 - 1080}

⇒\sf{120}

Profit amount = 120

<u>Finding </u><u>the </u><u>profit </u><u>percentage</u>

\sf{profit\% \:  =  \frac{profit}{cp}  \times 100 \%}

⇒\sf{ \frac{120}{1080 } \times 100\%}

⇒\sf{11.11\%}

Hope I helped!

Best regards!!

6 0
3 years ago
Help asap idek what to do
daser333 [38]

So to solve this question, your goal is to find out how the way it is solved is not correct.

Your answer would be: On the third line, the student adds the 8 to both sides instead of subtracting. The way the initial equation is given is

y-(-8)=-6(x-2). After distributing the six, the student should make the 8 positive because subtracting a negative makes a positive. After solving, the equation should look like: y(+8)=-6x+12, so you would subtract the 8 from both sides instead of adding it, and solve from there.

5 0
3 years ago
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