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Hoochie [10]
3 years ago
6

Julie and her friend went to the movies and bought one jumbo popcorn and two chocholate chip cookies for 5$. Marvin and his frie

nd went to the same movies and bought 3 jumbo popcorns and 5 chocolate chip cookies $14.50. Set up and solve a system of equations to determine the cost of one jumbo and one chocolate chip cookie.
Mathematics
1 answer:
makvit [3.9K]3 years ago
4 0
Let j = cost of one jumbo popcorn, and c = cost of one chocolate chip cookie.

Then, based upon the given info, 1j + 2c = $5.

Also, 3j + 5c = $14.50

Let's solve this system of equations using addition/subtraction:

Mult. the first equation by -3, to obtain   -3j - 6c = -$15

Now add this result to the 2nd equation:   

-3j - 6c = -$15
3j + 5c = $14.50
----------------------
     -c = -$0.50, or c = $0.50.       Since   3j + 5c = $14.50, subst. $0.50 for c 
lets us find j:

3j + 5($0.50) = $14.50, so 3j = $12.00.  Thus, j = $4.00.


Jumbo popcorn is $4/bag, and choc. chip cookies $0.50 each.
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Solve the right angle trig problem.
iris [78.8K]

Answer:

x = 53.6588°

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] cos∅ = adjacent over hypotenuse

Step-by-step explanation:

<u>Step 1: Define</u>

We are given a right triangle. We can use trig to find the missing angle.

<u>Step 2: Identify Variables</u>

<em>POV from angle x</em>

Angle = <em>x</em>

Adjacent = 16

Hypotenuse = 27

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Substitute:                    cosx° = 16/27
  2. Inverse:                         x° = cos⁻¹(16/27)
  3. Evaluate:                       x = 53.6588°
7 0
2 years ago
What is bigger 9/10 or 7/8
Nataliya [291]
You start by cross multiplying:
9 x 8 = 72
This is considered the fraction on the left's value.
You do the same for the other side:
10 x 7 = 70
This is considered the value of the fraction 7/8
72 has a greater value than 70.

Therefore, 9/10 is larger.
4 0
3 years ago
Read 2 more answers
Calcula en cada caso las restantes razones trigonométricas de un angulo agudo si se conoce que:
olchik [2.2K]
A) cos a = (√22)/5; tan a = (√66)/22
B) sin a = (2√2)/3; tan a = 2√2
C) sin a = (√30)/6; cos a = (√6)/6
D) sin a = 3/5; tan a = 3/4
E) sin a = (5√26)/26; cos a = (√26)/26
F) sin a = 3/5; tan a = 3/4

Explanation
The ratio for sine is opposite/hypotenuse.  This means the side opposite the angle is √3 and the hypotenuse is 5.  Using the Pythagorean theorem to find the adjacent side,
(√3)² + A² = 5²
3+A² = 25
A² = 22
A=√22
This means that cos a = adjacent/hypotenuse = (√22)/5 and tan a = opposite/adjacent = (√3)/(√22) = (√66)/22.
B)  The ratio for cosine is adjacent/hypotenuse; this means the side adjacent to the angle is 1 and the hypotenuse is 3.  Using the Pythagorean theorem to find the side opposite the angle (p),
1² + p² = 3²
1+p² = 9
p² = 8
p=√8 = 2√2
This means that sin a = opposite/hypotenuse = (2√2)/3 and tan a = opposite/adjacent = (2√2)/1 = 2√2.
C) The ratio for tangent is opposite/adjacent; this means that the side opposite the angle is √5 and the side adjacent the angle is 1.  Using the Pythagorean theorem to find the hypotenuse,
(√5)²+1² = H²
5+1=H²
6=H²
√6 = H
This means that sin a = opposite/hypotenuse = (√5)/(√6) = (√30)/6 and cos a = adjacent/hypotenuse = 1/(√6) = (√6)/6.
D)  The ratio for cosine is adjacent/hypotenuse; this means that the side adjacent the angle is 4 and the hypotenuse is 5.  Using the Pythagorean theorem to find the side opposite the angle, p:
4²+p²=5²
16+p²=25
p²=9
p=3
This means that sin a = opposite/hypotenuse = 3/5 and tan a = opposite/adjacent = 3/4.
E)  The ratio for tangent is opposite/adjacent;; this means that the side opposite the angle is 5 and the side adjacent the angle is 1.  Using the Pythagorean theorem to find the hypotenuse,
5²+1²=H²
25+1=H²
26=H²
√26 = H
This means that sin a = opposite/hypotenuse = 5/(√26) = (5√26)/26 and cos a = adjacent/hypotenuse = 1/(√26) = √26/26.
F) 0.8 = 8/10; The ratio for cosine is adjacent/hypotenuse.  This means that the side adjacent the angle is 8 and the hypotenuse is 10.  Using the Pythagorean theorem to find the side opposite the angle, p:
8²+p² = 10²
64+p² = 100
p² = 36
p=6
This means that sin a = opposite/hypotenuse = 6/10 = 3/5 and tan a = opposite/adjacent = 6/8 = 3/4.
6 0
3 years ago
Read 2 more answers
The Pythagorean theorem can only be used with witch type of triangle
HACTEHA [7]

Answer:

Right Triangles

Step-by-step explanation:

3 0
2 years ago
you pay 3.3 cents per minute for long-distance phone calls on your phone. your phone bill is $3.40 write and solve an equation t
MaRussiya [10]
If you would like to know the number of minutes of long-distance calls you made, you can calculate this using the following steps:

3.3 cents = $0.033
m = $3.40 / 3.3 cents
m = $3.40 / $0.033 = 3.40 / 0.033
m = 103.03 minutes 

The correct result would be <span>103.03 minutes.</span>
5 0
3 years ago
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