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3 years ago

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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In Minnesota, the state sales tax rate is 6.875%. The price tag on an HDTV gives

torisob [31]

Answer:

1560.38

Step-by-step explanation:

As far as I know, a sales tax is never calculated until money changes hands. So the rebate is the first amount to take place.

1560 - 100 = 1460

Now if the purchaser agrees to this amount and does anything to pay partially or in full, the tax is added.

Total Cost = 1460 * (1.06875)

Total Cost = 1560.38

Edit

You have to be very careful when you use a term like rebate. Rebate is a very special kind of discount. Your purchase has to qualify for a rebate. Apparently this one does. If you are willing to spend 1560 on something, the merchant selling the product offers you a rebate to help you decide.

If the TV cost is 1200 you may not get the rebate.

3 0

3 years ago

I need help with this

Andre45 [30]

Answer:

3 pairs for the price of two.

Step-by-step explanation:

$10 per pair

3 x 2

then:

3 pairs costs $20

20/3 = $6.6667 each pair

Buy one and get 25% of the second

25% = 25/100 = 0.25

then:

first pair $10

second pair: 10 - (10*0.25) = 10 - 2.5 = $7.5

first + second pair = 10 + 7.5 = 17.5

2 pairs costs $17.5

17.5/2 = $8.75 each pair

then:

the best deal:

3 pairs for the price of two.

4 0

3 years ago

Write these equations in y-intercept form

stira [4]

1.y=-2x-3
2.y=2x+1
3.y=-3x-3
4.y=1/2x+2

8 0

3 years ago

A circle has a radius of 3.93 inches. Using the correct number of significant digits, find the circumference and the area of the

jolli1 [7]

Answer:

The circumference is 24.69 in.

The area is 48.52 in.

Step-by-step explanation:

Circumference rule => Cf=2πr

So, Cf=2π(3.93)=24.69in

Area rule => A=πr^2

So, A=π(3.93)^2=48.52in

3 0

3 years ago

Five less than twice a number is equal to one half the difference of three times the number and 13.Find the number.

Strike441 [17]

Step-by-step explanation:

2x - 5 = 1/2*(3x - 13)

4x - 10 = 3x - 13

x = -3

3 0

3 years ago