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ELEN [110]
3 years ago
7

6x+2y= 6x+2y= \,\,16 16 2x-2y= 2x−2y= \,\,32 32

Mathematics
1 answer:
Ivanshal [37]3 years ago
3 0

Answer:

x = 6, y = -8

Step-by-step explanation:

First we take the equations side by side and put them like this:

 6x + 2y = 16

+ 2x - 2y = 32

8x = 48

Then solve for x.

x = 6

Then insert x back into either equation

2(5) - 2y = 32

10 - 2y = 32

solve for y,

y = -10

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30pts for whoever answers this!!!
Marizza181 [45]

Let the weights of the cashews and peanuts be c and p respectively.  Then:

c + p = 10 lb.

The related cost equation is 5.80c + 2.20p = 3.64(c+p).

Because c + p = 10 lb,  the previous equation is equivalent to:

5.80c + 2.20p = 3.64(10)  =  36.40

Solving c + p for c, we get c = 10 - p.  Then, the last equation becomes:

5.80(10-p) + 2.20p = 36.40, or 58 - 5.8p = 36.4.  Solving for p:  

-5.8p = 36.4 - 58, or    -5.8p = -21.6.  Finally, p = 3.72 lb.

Since c + p = 10 (lb), c = 10-3.72 (lb), or   c = 6.28 lb.

He must make this 10-lb mixture as follows:  6.28 lb of cashews and 3.72 lb of peanuts.

8 0
4 years ago
Read 2 more answers
Find the length of line PQ if PQ is parallel to BC and PQ is a midsegment of triangle ABC
MArishka [77]

Your answer is roughly 4.92 units, or √24.25 .

To find the length of line PQ, we need the coordinates of P and Q, and then we can use Pythagoras's theorem to find the distance between them. Because we know that PQ is a midsegment of triangle ABC, and also that it's parallel to BC, the coordinates of P and Q must be the midpoints of the lines AB and AC in the triangle.

To find a midpoint of a line, you add up the x coordinates and then half the result, and then add up the y coordinates and half the result. This means the midpoint of line AB is ( (8+1)/2, (6+1)/2 )= (4.5, 3.5). We can then label this point Q.

The midpoint of line AC is therefore ( (8+10)/2, (6-3)/2) = (9, 1.5). We can label this point Q.

Now to find the length of PQ, we can use Pythagoras's theorem. First we need to find the difference between the x coordinates and y coordinates of P and Q to be the legs of the right-angled triangle. These will be (9 - 4.5) = 4.5 for the base, and (3.5 - 1.5) = 2 for the height.

Thus, the length of PQ is √(2² + 4.5²) = √(4 + 20.25) = √24.25 . This is roughly equal to 4.92.

I hope this helps! Let me know if you have any questions :)

4 0
3 years ago
Can somebody help it’s due soon and it’s a major test plz help!
katen-ka-za [31]

Answer:

Car A ⇔ 50 mph

Car B ⇔ 60 mph

Car C ⇔ 55 mph

Step-by-step explanation:

The equation of the proportionality is y = m x, where m is the constant of proportionality we can find it by using the initial values os x and y or by the rule of the slope of a line m = \frac{y2-y1}{x2-x1}

Let us find the constant of proportionality of each car

Car A

∵ The line in the figure passes through points (0, 0) and (1, 50)

∴ x1 = 0 and y1 = 0

∴ x2 = 1, y2 = 50

→ By using the rule of the slope above

∵ m = \frac{50-0}{1-0} = \frac{50}{1}

∴ m = 50

∴ The constant of proportionality of car A is 50 mph

Car B

∵ The equation of proportionality is y = m x

∵ From the given table at x = 1, y = 60

→ Substitute them in the equation to find m

∴ 60 = m (1)

∴ 60 = m

∴ m = 60

∴ The constant of proportionality of car B is 60 mph

Car C

∵ The equation is y = 55x

→ Compare it with the form of the equation of the proportionality

∵ y = m x

∴ m = 55

∴ The constant of proportionality of car C is 55 mph

3 0
3 years ago
What is the sum of 8a<br> 7+ 5b2 – 2a2 and 7b2 + 66_<br> 20a + 3?
barxatty [35]

Answer:

Step-by-step explanation:

7+5b²-2a²+7b²+66-20a-3

first collect like terms

5b²+7b²-2a²-20a+7-3

12b²-2a²-20a+4

hope it's helpful

THANK YOU.

5 0
3 years ago
What’s is the value of x
r-ruslan [8.4K]

Answer:

42°(C)

Step-by-step explanation:

That is a right angle which means the sum of angles is 90°

So,we have x+48°=90°

x=90°-48°

x=42°

3 0
4 years ago
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