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zysi [14]
2 years ago
10

Please help solve questions

Mathematics
2 answers:
Ipatiy [6.2K]2 years ago
5 0

Answer:

<u>Given inequality</u>

\sf 2x + 3y < 6

<u>Rearrange to make y the subject</u>

\sf \implies 2x + 3y < 6

Subtract 2x from both sides:

\sf \implies 3y < -2x + 6

Divide both sides by 3:

\sf \implies y < -\dfrac23x + 2

<u>When graphing inequalities</u>

If the inequality sign is < or > then the line of the graph should be dashed.

If the inequality sign is ≤ or ≥ then the line of the graph should be solid.

If y < (less than) then the shading is below the line.

If y > (more than) then the shading is above the line.

Therefore, as the inequality is y < the line should be dashed and the shading should be below the dashed line.

To plot the line, substitute x = 0 and x = 3 into the equation:

\sf  \implies -\dfrac23(0) + 2=2

\sf  \implies -\dfrac23(3) + 2=0

Therefore, plot points (0, 2) and (3, 0).  Draw a dashed straight line through the points.  Shade below the dashed line.

Alekssandra [29.7K]2 years ago
4 0

Take some points

  • 2x+3y<6
  • 3y<-2x+6
  • y<-2/3x+2

As here < sign present line will be dashed and shading should be done below the line

So

  • (1,1)
  • (1,0)
  • (2,0)
  • (-1,2)

Graph attached

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Copies of a famous painting were created at the local art museum for visitors to purchase. The copies had a 30% smaller area tha
lina2011 [118]

Answer:

12.6 square feet

Step-by-step explanation:

So first we set it up:

18ft is 100% of the original

and the area of the copies are 70%

Copies: x

x/70 = 18/100

70(18) = 1260

1260/100 = 12.6

x = 12.6

6 0
2 years ago
What type of triangle is this?<br> A. Right<br> B. Equilateral <br> C. Isosceles <br> D. Scalene
balu736 [363]

Answer:

It's an Equilateral triangle

Step-by-step explanation:

This is because of the fact that all of its sides are equal

8 0
2 years ago
Read 2 more answers
Working together, it takes Sam, Jenna, and Francisco two hours to paint one room. When Sam works alone, he can paint one room in
lutik1710 [3]

Answer:  12 hours

Step-by-step explanation:

Given : Working together, it takes Sam, Jenna, and Francisco two hours to paint one room.

When Sam works alone, he can paint one room in 6 hours. When Jenna works alone, she can paint one room in 4 hours.

Let 't' be the time taken by Francisco to paint one room on his own.

Then , we have

Rate of work of  Sam +Rate of work of Jenna + Rate of work of  Francisco =Rate of work they all do together

\dfrac{1}{6}+\dfrac{1}{4}+\dfrac{1}{t}=\dfrac{1}{2}

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{1}{6}+\dfrac{1}{4})

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-(\dfrac{4+6}{24})

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-\dfrac{10}{24}

i.e.  \dfrac{1}{t}=\dfrac{1}{2}-\dfrac{5}{12}

i.e.  \dfrac{1}{t}=\dfrac{6-5}{12}

i.e.  \dfrac{1}{t}=\dfrac{1}{12}

i.e. t= 12

Hence,  Francisco would take 12 hours to  paint one room on his own.

8 0
3 years ago
The area of a circle is 77.28m2.<br> Find the length of the diameter rounded to 1 DP.
allochka39001 [22]

Answer:diameter=9.92m

Step-by-step explanation:

Area=77.28

π=3.14

Area=π x (d/2)^2

77.28=3.14 x (d/2)^2

Divide both sides by 3.14

77.28/3.14=(3.14x(d/2)^2)/3.14

24.6=(d/2)^2

Take them square root of both sides we get

d/2=√(24.6)

d/2=4.96

d=4.96 x 2

d=9.92

4 0
3 years ago
****ASAP*****<br> can someone pls help me with this? and can you describe it please?
Studentka2010 [4]

Add 165 to 245. That is a total of 410kWh.

245kWh is more than 50% of 410kWh.

So, according to the plan, you will pay NightTimer rate for kWh at night and DayTimer rate during the day.

The work done:

(165*0.05281)+(245*0.05456)\\8.71365+13.3674=22.08085

The raw, accurate, answer is that the value to pay is $22.08085.

In real terms, it is closer to your $22.08 option. That is the one I'd take.

5 0
3 years ago
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