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olga nikolaevna [1]
3 years ago
12

A-(buc)=(A-b)u(A-c)​

Mathematics
1 answer:
kupik [55]3 years ago
5 0

Step-by-step explanation:

I don't get the question a bit but I hope this makes sense

:)

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I need the answers plz
garik1379 [7]

Answer:

These problems are an example of equations with two unknowns. The way these equations are solved is that we write these equations one under the another.

If both equations have, such is the case here, same parts, we can simply cancel the same parts out and subtract the rest of equatuons. That way, we are left with only one unknown (the other one was eliminated), which makes it easy to solve.

After we have found the value of an unknown, we just plug it back into any of the starting equations and solve for the second unknown.

2. Adult ticket costs $12 and child ticket costs $14.

3. Adult ticket costs $10 and child ticket costs $5.

4. One daylily costs $9 and one bush of ornamental grass costs $2.

5. A van can carry 15 and a bus can carry 56 students.

Step-by-step explanation:

2. If we mark the price of one adult ticket with x and the price of one child ticket with y, we get that:

- first day: 7x + 12y = $252

- second day: 7x + 10y = $224

Now, we can make a system:

7x + 12y = 252

7x + 10y = 224

We can now subtract these two equations and 7x will cancel out, so we get:

12y - 10y = 252 - 224

2y = 28

y = 14

Now, we can plug the value of y into any of the two equations:

7x + 10y = 224

7x + 140 = 224

7x = 84

x = 12

3. Similarly, if we mark the price of one adult ticket with x and the price of one child tickey with y, we'll get a system:

x + 12y = 70

x + 9y = 55

Again, if we subtract these two, x will cancel out, so we have:

12y - 9y = 70 - 55

3y = 15

y = 5

Now, we plug the value of y into any of the two equations, and we get:

x + 9y = 55

x + 45 = 55

x = 10

4. Using the same principle, we can mark the price of one daylily with x and the price of one bunch of ornamental grass with y, we'll get a system:

12x + 11y = 130

12x + 12y = 132

Again, we subtract so that 12x cancel out and we get:

11y - 12y = 130 - 132

-y = -2

If we get minuses on both sides, we can simply multiply both sides with -1 and we get:

y = 2

Again, we plug y:

12x + 12y = 132

12x + 24 = 132

12x = 108

x = 9

5. If we mark number of students in a van with x and the number of students in a bus with y, we get a system:

2x + 12y = 702

2x + y = 86

As you've probably already noticed the pattern, we subtract equations and cancel 2x out to get:

12y - y = 702 - 86

11y = 616

y = 56

Once again, we plug the value of y into any equation:

2x + y = 86

2x + 56 = 86

2x = 30

x = 15

4 0
3 years ago
Sarah bought 48 pencils and 80 erasers to make gift bags for her friends. each bag will have pencils anf erasers. each bag will
STatiana [176]

Answer:

C. 3 Pencils Per Bag

Step-by-step explanation:

The Greatest Common Factor is 16, meaning Sarah has 16 friends.

She needs to distribute the pencils and erasers evenly.

16 friends x 3 pencils per bag = 48 pencils in total.

16 friends x 5 erasers per bag = 80 erasers in total.

6 0
2 years ago
The roots of x2 − ( ) + 34 are 5 ± 3i.
Angelina_Jolie [31]
Use quadratic formula
if you had ax^2+bx+c=0, then
x=\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}
a=1
b=?
c=34
subsitute
\frac{-b+/- \sqrt{b^{2}-4(1)(34)} }{2(1)}=5+/-3i
\frac{-b+/- \sqrt{b^{2}-136} }{2}=5+/-3i
make 5+/-3 into fraction over 2,(10+/-6i)/2
\frac{-b+/- \sqrt{b^{2}-136} }{2}=(10+/-6i)/2
multiply both sides by 2
-b+/- \sqrt{b^{2}-136}=10+/-6i
we conclude that -b=10
b=-10

ok so equaton is
x^2-10x+34


5 0
3 years ago
Read 2 more answers
Can someone help me out pleaseeeee?
andre [41]
It starts just a bit greater than -3 at -14/5. 
It moves in the positive direction 3 units. 
3 0
3 years ago
What color is jordan
lana [24]
Jordan what? hhhhhhghh
4 0
3 years ago
Read 2 more answers
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