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valentina_108 [34]
3 years ago
11

Help

Mathematics
1 answer:
ycow [4]3 years ago
5 0

Answer:

hat: $12

t-shirt: $8

Step-by-step explanation:

Let the price of 1 hat = h.

Let the price of 1 t-shirt = t.

Julie: h + 2t = 28

Raj: 2h + t = 32

We have a system of 2 equations in 2 variables.

h + 2t = 28

2h + t = 32

Let's use the substitution method to solve the system of equations.

Solve the first equation for h.

h = 28 - 2t

Substitute 28 - 2t for h in the second equation.

2(28 - 2t) + t = 32

56 - 4t + t = 32

56 - 3t = 32

-3t = -24

t = 8

h = 28 - 2t

h = 28 - 2(6)

h = 12

Answer:

hat: $12

t-shirt: $8

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The area of rectangular kitchen tile is 6x^2-8x-30. The width is 2x-6.
mrs_skeptik [129]

Answer:

L=6x^2-4x+5

P=12x^2-4x-2

Step-by-step explanation:

A=WL

So, we know the area is 6x^2-8x-30 and the width is 2x-6

Substitute

(6x^2-8x-30)=(2x-6)(L)

L=(6x^2-8x-30)/(2x-6

Divide

L=6x^2-4x+5

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Substitute

P=2(6x^2-4x+5)+2(2x-6)

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Simplify

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7 0
3 years ago
Evaluate 7C2. Explain how you got your answer.
Leviafan [203]
So, to evaluate a combination, there's a formula we use.

I don't remember the formula from the top of my head, lol, but this is how you solve them.

7 c 2

When doing combinations and permutations each number is always in a factorial. We always start with the number on the left.

7! That's the total amount. The number on the left divides into that.

7! / 2!

We're not done yet. Here's the tricky part. We also always divide the number on the left, in this case 7!, with the positive difference of both numbers given to us.

7 - 2 = 5

So, we have 7! / 5! / 2! = 21.

Hope that helped!

Let's work another one.
5 c 3

We have 5! / 3! ,but we need to also divide 5! by the positive difference of 5 and 3. We get 2.

So, 5! / 3! / 2! = 10.

If you have any questions then leave a comment. Good luck!
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4 years ago
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Airida [17]

Answer:

All

Explanation:

When an equation is in the form of y=kx, it displays direct variation, meaning that the y-intercept is 0. For example, take an equation in slope-intercept form, it has an equation of y=mx+b. Since there is no "b", in the form y=kx, that means that the line must pass through the origin, or (0,0)

7 0
3 years ago
Read 2 more answers
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