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Leviafan [203]
2 years ago
14

Please help i will mark brainliest!

Mathematics
1 answer:
miskamm [114]2 years ago
3 0

Answer:

  • adult tickets: $13
  • student tickets $7

Step-by-step explanation:

The given equations are ...

  4a +5s = 87

  2a +2s = 40

We observe that the coefficient of 'a' in the first equation is 2 times that in the second equation. We can multiply the second equation by -2 and add it to the first to eliminate 'a' terms.

  (4a +5s) -2(2a +2s) = (87) -2(40)

  4a +5s -4a -4s = 87 -80 . . . . . . . . . eliminate parentheses

  s = 7 . . . . . . . . . . . . . . . . . .simplify

  2a +2(7) = 40 . . . substitute for s in the second equation

  2a = 26 . . . . . . subtract 14

  a = 13 . . . . . . . divide by 2

Adult tickets cost $13; student tickets cost $7.

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NEED HELP ASAP: Let ​ f(x)=x2−6x+13 ​ . What is the vertex form of f(x)? What is the minimum value of f(x)? Enter your answers i
Svetach [21]
The vertex form of  f(x)=ax^2+bx+c
f(x)=a(x-h)^2+k

where: h=\dfrac{-b}{2a};\ k=f(h)

We have:  f(x)=x^2-6x+13\to a=1;\ b=-6;\ c=13

substitute:
h=\dfrac{-(-6)}{2\cdot1}=\dfrac{6}{2}=3\\\\k=f(3)=3^2-6\cdot3+13=9-18+13=4
The vertex form of f(x):
f(x)=(x-3)^2+4
The value of minimum is equal k.
Therefore:  y_{min}=4



5 0
4 years ago
Read 2 more answers
What is the equation of M=3,x=4,and b=9
natita [175]

Answer:

21=3(4)+9

Step-by-step explanation:

Assuming that the equation that you are trying the get is y=mx+b, plug in m, x, and b to get:

y=3(4)+9

y=12+9

y=21

Please be more specific so that you get the answer you need

6 0
4 years ago
A directed line segment starts at (1.0) and ends at (4.6), Point R partitions the segment
MrRissso [65]

9514 1404 393

Answer:

  (3.4)

Step-by-step explanation:

The length of the given segment is 4.6 -1.0 = 3.6. The first portion of the division will be 2/(2+1) = 2/3 of that length, or (2/3)(3.6) = 2.4.

Then the coordinates of point R are ...

  (1.0) +(2.4) = (3.4)

__

<em>Additional comment</em>

We cannot tell if your coordinates are supposed to be Cartesian coordinates (1, 0) and (4, 6), or if they are points on a number line. As it happens, it makes no difference. The final answer is interpreted the same way the given coordinate points are interpreted: 3.4 on a number line or (3, 4) on a plane.

6 0
3 years ago
5+7(w+2)+w simplify the equation first use The distributive property and then combine like terms
Yuki888 [10]

Answer:

19+8w

Step-by-step explanation:

Distributive:

5+7(w+2)+w

5+7w+14+w

Combine Like Terms:

5+7w+14+w

19+8w

6 0
2 years ago
A relay race last 7.35 kilometers. Each relay team has 5 runners. If each runners goes the same distance in the race, how far do
loris [4]
Thirty six point seventy five
6 0
3 years ago
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