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r-ruslan [8.4K]
4 years ago
14

40 points!! need help asap

Mathematics
1 answer:
Mekhanik [1.2K]4 years ago
3 0

#1.

[4x = -12y + 16 and x + 3y = 4]

One answer


#2.

Here, y = 4x + 3

y - 4x = 3

Multiply by 2,

2y - 8x = 6

Compare with second equation,

6 ≠ 3

In short, System of Equation does not have any solution. [ Option D ]

#3.

2y=6

3x-6y=18

Divide first equation by 2: y=3

Substitute y=3 into second equation: 3x-6(3)=18

Solve for x: 3x=36 x=12

Therefore there is only one solution: x=12 y=3


#4.

y - 7x = -14

7y - 49x = -2

Rewrite the first equation as "y =" so that it can be substituted into the second equation and solve for x.

y = 7x - 14

7(7x - 14) - 49x = -2

49x - 98 - 49x = -2

-98 = -2

Since the variables cancel and the equation is not true there is no solution.

The lines are parallel and will not intersect.  


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Mr. Peterson sold a parcel of land and decided to share half of the amount he got among his three children Jane, Peter and marth
aliya0001 [1]

Answer:

60,000

Step-by-step explanation:

Jane-2000

Peter-ratio of 5=25000

Marta-ratio of 7=35000

25000+35000

60000

5 0
3 years ago
Read 2 more answers
Can someone smart please help me?
ollegr [7]
Hello! 

For a:

How I would do this, is I would first say if all 46 animals (heads) were chickens, how many legs would there be? Each chicken has 2 legs, so 46 * 2 = 92. The total amount of legs is 96 as stated in the question, so if all of the animals were chickens, the farmer would be 4 legs short.

Now to add rabbits into the equation. Rabbits have 4 legs, and chickens have 2. You want to find the difference between the two, because as you add rabbits to the animals the farmer has, then you have to take away chickens at the same time. 4-2 = 2, so for each rabbit you replace, you add 2 legs. 

Since the farmer is 4 legs short with all chickens, then you just divide that 4 by the 2 legs you add by replacing a chicken with a rabbit.

4 / 2 = 2 rabbits

So that means there are 2 rabbits. Since there are 46 heads in total, if 2 are rabbits, that means there are 44 chickens.

So there are 44 chickens and 2 rabbits.

b)

You can follow the same steps: I'm assuming all are child tickets for now:

3.05 * 100 = $305

And now you find how much money short you are.

498.6 - 305 = 193.6

Next, you find the difference in the ticket costs.

5.25 - 3.05 = 2.20

And you divide to find the number of adult tickets.

193.6 / 2.2 = 88

Since 100 tickets were sold, and 88 adult tickets were sold, that means 12 child tickets were sold.
7 0
3 years ago
PLEASE NO LINKS I LOST SO MANY POINTS
Ann [662]

Answer:

We will split the trapezoid into right angle triangle and rectangle

Traingle with base 3cm and height 10 - 6 = 4cm

Area of traingle

       = \frac{1}{2}*base *height = \frac{1}{2} * 3 * 4 = 6cm^{2}

Area of rectangle with sides 6cm and 3cm

       =6 * 3 = 18cm^{2}

Therefore, area of the trapezoid

       = 6+18 = 24cm^{2}

Area of the semi circle with radius 3/2 = 1.5cm

        = \frac{1}{2}\pi r^{2}  = \frac{1*\pi *1.5*1.5}{2} = 1.125\pi cm^{2}

Total area = 24 + 1.125\pi =27.53cm^{2}

8 0
3 years ago
Raleigh went to a gaming arcade for his birthday. His parents gave him $55 to spend. He purchased $14.25 in
amid [387]

Answer:

23 games

Step-by-step explanation:

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8 0
3 years ago
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Determine the parent function
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A parent function is the simplest function of a family of functions that preserves the definition (or shape) of the entire family.
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