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Travka [436]
3 years ago
8

Mr. Frankel bought 7 tickets to a puppet show and spent $43. He bought a combination of child tickets for $4 each and adult tick

ets for $9 each. Which system of equations below will determine the number of adult tickets, a, and the number of child tickets, c, he bought?
Mathematics
2 answers:
pav-90 [236]3 years ago
8 0
A + C = 7
$9(A) + $4(C) = $43
Stels [109]3 years ago
8 0
3 adult tickets and 4 kids tickets

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PLEASE HELP FAST
skad [1K]

Answer:

The unit vector u is (-5/√29) i - (2/√29) j

Step-by-step explanation:

* Lets revise the meaning of unit vector

- The unit vector is the vector ÷ the magnitude of the vector

- If the vector w = xi + yj

- Its magnitude IwI = √(x² + y²) ⇒ the length of the vector w

- The unit vector u in the direction of w is u = w/IwI

- The unit vector u = (xi + yj)/√(x² + y²)

- The unit vector u = [x/√(x² + y²)] i + [y/√(x² + y²)] j

* Now lets solve the problem

∵ v = -5i - 2j

∴ IvI = √[(-5)² +(-2)²] = √[25 + 4] = √29

- The unit vector u = v/IvI

∴ u = (-5i - 2j)/√29 ⇒ spilt the terms

∴ u = (-5/√29) i - (2/√29) j

* The unit vector u is (-5/√29) i - (2/√29) j

8 0
3 years ago
Patrick is designing a large stained glass window for the library. If the area of the window is 36 feet, how long is each side
vova2212 [387]
Divide 36 by 4 sides of the window. = 9 square feet.
4 0
2 years ago
What is the slope of the line represented by the equation y= 4/5x-3
guajiro [1.7K]

Answer:

m=

\frac{4}{5}

Step-by-step explanation:

Slope of a line is the co efficient of x in the given line.

y =  \frac{4}{5} x - 3 \\ y = mx + b

6 0
3 years ago
Which value for the number makes the statement true?
umka21 [38]
A product is the result of multiplication.
A quotient is the result of division.
So you're trying to find the quotient of a number (x) and 5 that equals 8.

Try plugging in the answers. 
  x/5=8

A. x=4
  4/5=8  (Incorrect, 4 divided by 5 is 0.8)

B. x=8
  8/5=8  (Incorrect, 8 divided by 5 is 1.6)

C. x=40
  40/5=8  (Correct, 40 divided by 5 is 8)

D. x=80
  80/5=8  (Incorrect, 80 divided by 5 is 16)

So your answer is C. 40
The quotient of 40 and 5 is 8.
3 0
3 years ago
The x - intercept of the function f(x) = x2 + 4x - 12 is:
Assoli18 [71]

Answer:

C) (-6,0)(2,0)

For x-intercept, f(x) = 0:

{ \tt{ {x}^{2} + 4x - 12 = 0 }} \\   { \tt{(x - 2)(x + 6) = 0}}

8 0
3 years ago
Read 2 more answers
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