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jeka57 [31]
3 years ago
14

Write a System of Equations to solve the following problem:

Mathematics
1 answer:
pshichka [43]3 years ago
6 0

Answer:

Cost of Senior Citizen Ticket: $15

Cost of Student Ticket: $3

Step-by-step explanation:

Let the price of a senior citizen ticket be s.

Let the price of a student ticket be t.

Day 1:

s + 12t = 51

Day 2:

5s + 6t = 93

The system of equations is:

s + 12t = 51

5s + 6t = 93

Let's use the substitution method to solve it. Solve the first equation for s.

s = 51 - 12t

Now substitute s in the second equation with 51 - 12t.

5s + 6t = 93

5(51 - 12t) + 6t = 93

255 - 60t + 6t = 93

Subtract 255 from both sides. Combine -60t and 6t.

-54t = -162

Divide both sides by -54.

t = 3

Now substitute 3 for t in the equation

s = 51 - 12t

s = 51 - 12(3)

s = 51 - 36

s = 15

Answer:

Cost of Senior Citizen Ticket: $15

Cost of Student Ticket: $3

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<em><u>Step-by-step explanation:</u></em>

<em><u>DIVISION. 120/12.</u></em>

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5 0
3 years ago
The factory makes 400 cars per day.
katrin2010 [14]

Answer:

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Step-by-step explanation:

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Hope that helps!

3 0
2 years ago
Which of the following is true about the charge of an electron?
natita [175]

Answer:

It is -1.602 x 10^-19 C, and the smallest unit of charge

Step-by-step explanation:

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q = ne

q is net charge

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6 0
3 years ago
Find the volume of the prism?*
Luba_88 [7]

Answer:

The volume is 210 cm³

Step-by-step explanation:

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7 0
3 years ago
the figure is made up of a cylinder and a half sphere what is the volume of the composite figure use 3.14 for pi round to the ne
natka813 [3]

Answer:

485.9 mm³

Step-by-step explanation:

The volume of a sphere is 4/3 π r³. So the volume of a hemisphere is half of that:

<h3>V = (2 / 3) π r³</h3>

V = 128π/3

The formula for the volume of a cylinder is V = Bh or V = πr²h .

The radius of the cylinder is 4mm and the height is 7mm

Substitute 4 for r and 7 for h in the formula V = πr²h .

<h3>V=π(4)²(7)</h3>

V = 112π

Since the figure is made up of a hemisphere and cylinder so volume will be sum of these two shapes

<h3>V = 128π/3 +  112π</h3>

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7 0
3 years ago
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