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Tamiku [17]
3 years ago
14

The price of a skateboard is 5 dollars less than 3 times the price of a pair of knee pads. Let k represent the price of the knee

pads. Write an expression that gives the price of the skateboard
Mathematics
1 answer:
makkiz [27]3 years ago
8 0

Answer:

Price of skateboard= 3k-5

Step-by-step explanation:

Given: The price of a skateboard is 5 dollars less than 3 times the price of a pair of knee pads.

Lets assume the price of the knee pads be "k".

As given, The price of a skateboard is 5 dollars less than 3 times the price of a pair of knee pads.

∴ y-intercept is 5 and slope will be 3.

using y intercept expression to form an expression.

we know, y= mx+b

∴ Price of skateboard= 3\times k-5

Price of skateboard= 3k-5

Hence, expression for price of skateboard is 3k-5

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5 0
3 years ago
Solve the system of equations by elimination. Show your work. i’ll give brainliest
My name is Ann [436]

Answer:

x = 5

y = 4

Step-by-step explanation:

multiply the second equation by -1 and add the first equation to eliminate "x"

4x+6y=44\\-4x-2y=-28
_____________

       4y=16

y=16/4 =4

Replace "y" in the first equation:

4x+6(4)=44

4x+24=44

4x=44-24

x=20/4=5

Hope this helps

5 0
2 years ago
Read 2 more answers
SOMEONE HELPFUL PLZ ANSWER!!!!!!!! WILL MARK BRAINLIEST!!!!!!!!!
Eva8 [605]

Answer:5,6 or 15,2

5x6x1.5 =45

15x2x1.5=45

3 0
3 years ago
How long it will take 2000$ to double if it is invested at 6% interest compounded semi annually
katen-ka-za [31]

Answer:

Step-by-step explanation:

4 0
3 years ago
Regular hexagon ABCDEF has vertices at A(4, 4!3), B(8, 4!3), C(10, 2!3), D(8, 0), E(4, 0) and F(2, 2!3).
marissa [1.9K]

Since the given hexagon is a regular hexagon all it's sides will be of equal length. Now, we know that the Area of any regular hexagon is given by:

A=\frac{3\sqrt{3}}{2} a^2

Where A is the area of the regular hexagon

a is the side length of the regular hexagon

Also, it's Perimeter is given by:

P=6a

Thus, all that we need to do is to find the side length of any one of the sides and to do that let us have a look at at the data of vertices points given and find out which points are definitely adjacent to each other and are also easy to calculate.

A quick search will yield that D(8, 0) and E(4, 0) are definitely adjacent to each other.

Please check the attached file here for a better understanding of the diagram of the original regular hexagon. Points D and E indeed are adjacent to each other.

Let us now find the distance between the points D and E using the distance formula which is as:

d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

Where d is the distance.

(x_1,y_1) and (x_2,y_2) are the coordinates of points D and E respectively. (please note that interchanging the values of the coordinates will not alter the distance d)

Applying the above formula we get:

d=\sqrt{(8-4)^2+(0-0)^2} =\sqrt{4^2}=4

\therefore d=4

We know that this distance is the side length of the given regular hexagon.

\therefore d=a=4

Now, if the sides of the given regular polygon are reduced by 40%, then the new length of the sides will be:

a_{small}=4-\frac{40}{100}\times 4=2.4

Thus, the area of the smaller hexagon will be:

A_{small}=\frac{3\sqrt{3}}{2} a_{small}^2=\frac{3\sqrt{3}}{2} (2.4)^2\approx14.96 unit squared

and the new smaller perimeter will be:

P_{small}=6a_{small}=6\times 2.4=14.4 unit

Which are the required answers.

5 0
3 years ago
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