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xxMikexx [17]
3 years ago
6

Create an equivalent system of equations using the sum of the system and the first equation

Mathematics
2 answers:
ohaa [14]3 years ago
8 0

Answer:

\large\boxed{A.\ \left\{\begin{array}{ccc}-3x+y=12\\-2x+4y=18\end{array}\right}

Step-by-step explanation:

\underline{+\left\{\begin{array}{ccc}-3x+y=12\\x+3y=6\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-2x+4y=18\\\\\text{therefore}\\\\\left\{\begin{array}{ccc}-3x+y=12\\-2x+4y=18\end{array}\right

KIM [24]3 years ago
6 0

Answer:

it's A

Step-by-step explanation:

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Going against the current, a boat takes 6 hours to make a 120-mile trip. When the boat travels with the current on the return tr
tankabanditka [31]

Answer:

  22 miles per hour

Step-by-step explanation:

Against the current, the boat's rate of travel is ...

  (120 mi)/(6 h) = 20 mi/h

With the current, the boat's rate of travel is ...

  (120 mi)/(5 h) = 24 mi/h

___

The sum of boat speed (b) and current speed (c) is 24 mph. The difference is 20 mph. This lets us write the equations ...

  b + c = 24

  b - c = 20

Adding these two equations together, we get ...

  2b + 0c = 44

  b = 22 . . . . . . . . divide by 2

The rate of the boat in still water is 22 miles per hour.

5 0
4 years ago
What is the unit rate if there are 258 purple polka-dot pencils in 3 purple polka-dot purses?
stiks02 [169]
Unit rate means one. So the best way to solve this is using a proportion over one. If there are 258 pencils in 3 purses 258/3 then how many are in one purses x/1. Cross multiply next. 258/3 * x/1. You get 3x and 258. To get the x alone, divide both sides by three. Your answer is 86 pencils in one purse.
4 0
3 years ago
Construct a ∆ PQR , given that PQ = 5.5 cm ,QR = 4.8 cm and PR = 4.2 cm . Write steps of construction .
Lemur [1.5K]

Answer:

Step-by-step explanation:

AT first, draw the reference line, which are given. If I take PQ as base, I won't need to draw PQ line as reference.

I took PQ(5.5cm) as base. Then, take 4.8cm in your compass by centering at point Q. Draw an arc. Then take 4.2 cm in your compass from the reference line which you have drawn and then centre at point P and draw an arc. Both the arcs will meet at one point. Then join the lines to form the Triangle PQR

6 0
3 years ago
Which figure is a scalene triangle?
Lena [83]

Answer:

Triangle has three sides so u can dismiss 2nd easily

scalene triangle has 2 equal sides

so, 1st is the correct answer

7 0
3 years ago
Read 2 more answers
In another aquarium display, there are 40 fish in each of 7 large tanks. How many fish are in the display?
expeople1 [14]

In this particular question, you just need to multiply the number of tanks with the number of fish each tanks able to contain.

So, 7 x 40 = 280 fishes


4 0
3 years ago
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