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Effectus [21]
3 years ago
14

Check the consistency of 2x-3y=7 and x-2y+1=0

Mathematics
1 answer:
Furkat [3]3 years ago
3 0

Answer:

x = 17, y = 9

or as an ordered pair, (17, 9).

The equations are consistent.

Step-by-step explanation:

2x - 3y = 7

x - 2y  = -1        Multiply this equation by -2:

-2x + 4y = 2     Add this to the first equation:

y = 9.

Plug y = 9 into the second equation:

x - 2*9 = -1

x = -1 + 18 = 17.

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Slove the followings.
DaniilM [7]

2. The number of adults who live in the house is <em>3</em><em> </em>(1,200/400).

3.a. If an adult recycled the <em>glass, paper, and card</em> that have 42% of the rubbish, the adult will generate 232 kg (400 kg x (1 - 42%) of rubbish.

b. If the adult, in addition, had a <em>composite for vegetable and decomposable material</em>, he will generate 152 kg (400 kg x (1 - 62%).

Data and Calculations:

1 ton = 1,000 kg

Weight of rubbish produced by an adult per year = 400 kg

Total kg of rubbish produced by the family = 1,200 kg (1,000 x 1.2)

Percentage of Vegetable and decomposable material = 20%

Percentage of glass, paper, and card = 42% (33% + 9%)

Learn more: brainly.com/question/14954924

7 0
3 years ago
Simplify −45(30x−40)+(42x+4) . Write your answer in factored form.
kakasveta [241]

solution

-4(327x-451)

5 0
2 years ago
Please help me by marking the correct answer to each part of number 9. I really dont get this at all, so please tell me why your
natta225 [31]
A. False
Why? Because you cut off the triangle. The measurements are 20 mm and 10 mm.
B. True
Why? Because 20*10 = 200
C. False
Why? Because the base is 6 since 26 - 20 is 6. The height is 4, not 6 because 10 - 6 is 4.
D. True
Why? Because like question C., the base is 6, and the height is 4. 6*4 is 24/2 = 12. If you don't get this, the formula for all triangles is b*h*1/2
E. True
Why? Because from questions B. and D., the area of the rectangle is 200 and the area of the triangle is 12. 200 + 12 = 210.

Hope this helped,
Loafly
3 0
3 years ago
To find the driver's initial speed
PilotLPTM [1.2K]

The speed of the driver is 200km/hr.

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

The information is incomplete and an overview will be given since the complete information wasn't found online.

It should be noted that speed is calculated as:

= Distance / Time

Let distance = 2000km

Let time = 10 hours.

Speed = Distance/Time

Speed = 2000/10

Speed = 200km/hr

Learn more about speed on:

brainly.com/question/4931057

#SPJ1

3 0
2 years ago
Worked 16 3/4 hours in past two days and plan to work 12 3/4 hours in the next two days
Burka [1]

16 3/4 + 12 3/4

16 +12 = 28

3/4 +3/4 = 1 1/2

28 + 1 1/2 = 29 1/2 hours total

8 0
3 years ago
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