At a clothing store, Ted bought 4 shirts and 2 ties for a total price of $95. At the same store, Steph bought 3 shirts and 3 tie
s for a total price of $84. How much would it cost to buy 1 shirt and 2 ties?
1 answer:
Answer:
The cost to buy 1 shirt and 2 ties is equal to $36.5
Step-by-step explanation:
Let
x-----> the cost of one shirt
y---> the cost of one tie
we know that
4x+2y=95 -----> equation A
3x+3y=84 -----> equation B
Solve the system of equations by graphing
Remember that the solution of the system of equations is the intersection point both graphs
using a graphing tool
The solution is the point (19.5,8.5)
see the attached figure
therefore
The cost of one shirt is $19.5
The cost of one tie is $8.5
The cost to buy 1 shirt and 2 ties is equal to
x+2y=19.5+2(8.5)=$36.5
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Step-by-step explanation:
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r =
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Answer:
The <u>distance</u> <em>between</em> the two given points is equal to √85.
Step-by-step explanation:
Let's recall what the distance formula is:
We are defined our two points as:
- (x₁, y₁) → (1, -7)
- (x₂, y₂) → (7, 0)
We can rewrite this into our different "variables":
- x₁ = 1
- y₁ = -7
- x₂ = 7
- y₂ = 0
Now given our distance formula and our variables, we can find the distance between the two points:
∴ since the radical is already in its simplest form, our distance between the two points is equal to √85.
Hope this helps!