A skateboard costs $60 and its got a discount
of 30% and then a sales tax of 10% was
added. What is the final price?

In this problem, the distributive property is very important, but there is another thing that we can look at to make this much easier. We notice that the terms on the left are being multiplied by 6. We can rewrite the right side so that it is also a multiple of 6:

6(3c - 5d + 6) = 6(1)

Now, we can divide both sides by 6, and we get:

6(3c - 5d + 6) = 6(1)

3c - 5d + 6 = 1

3c - 5d = -5

Step-by-step explanation:

(p+1)³

p³+3×p²×1+3×p×1²+1³

p³+3p²+3p+1

I hope it helped U

stay safe stay happy

I hope it will be helpful to you .

Answer:

[tex]10x−15[/tex]

Step-by-step explanation:

[tex]5(2x−3)[/tex]

[tex]5(2x)+5( −3)[/tex]

[tex]10x+5(−3)[/tex]

[tex]10x−15[/tex]

Answer:

[tex]10x + 15[/tex]

Step-by-step explanation:

[tex]5(2x−3) [/tex]

[tex]5(2x)+5(−3)[/tex]

[tex]10x + 15[/tex]

Hey there! I'm happy to help!

We see that all of our y-values go negative and our x-values stay the same. It isn't a rotation because then our x-values will switch, but they haven't switched in our problem, so A and D are incorrect.

Reflecting over the line y=x is just reflecting over a diagonal line, and that will switch the x-value as well.

The correct answer is B. reflect over the x-axis. All of the x-values stay the same here, but the y-values are all on the other side of the x-axis, so they are all negative now, and this matches the change we see with our points.

Have a wonderful day and keep on learning! :D

Answer:

[tex] \sqrt{12} \times \sqrt{27} \\ = 2 \sqrt{3} \times 3 \sqrt{3} \\ 6 \sqrt{3 } \times \sqrt{3} \\ = 6 \times 3 \\ = 18 \\ thank \: u[/tex]

Answer:

18

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

its correct i solved it by paper im lazy typing it here lol, anyways 18 has to be the correct answer.

hope i helped

Answer:

15 cm

Step-by-step explanation:

Answer:

the answer is on the computer

Step-by-step explanation:

Answer: 2/25

Step-by-step explanation: Since we are replacing the marbles, these two events are independent which means that the outcome of the first does not affect the outcome of the second.

First find the probability of selecting a blue marble.

There are 2 favorable outcomes, the blue marbles,

and 10 possible outcomes, all the marbles in the bag.

So the probability of selecting a blue marble is 2/10 or 1/5.

Always reduce when finding probability

Now we find the probability of selecting a green marble.

There are 4 green marbles and 10 total so the probability of

selecting a green marble is 4/10 or 2/5.

Now we multiply the probabilities.

So we have 1/5 x 2/5 or 2/25.

Answer:

Step-by-step explanation:

Earnings per week = $ 400

Earning for 'w' week = 400*w + holiday bonus

                                   = 400w + 250

Earnings at 4 weeks = 400*4 + 250

                                   = 1600 + 250

                                   = $ 1850

Earnings at 12 weeks = 400*12 + 250

                                   = 4800 + 250

                                   = $ 5050

Earnings at 36 weeks = 400*36 + 250

                                   = 14400 + 250

                                   = $ 14650

Answer:

x=30

Step-by-step explanation:

Subtract 5 from both sides of the equ

Answer:

c =2n

Step-by-step explanation:

cost c is given by cost of each person multiplied by number n of people

Answer:

Let the integers are p and q.

In case both integers are positive or negative, you add the numbers up and apply their sign to the sum.

Examples:

In case one of the integers is negative and one positive.

Use absolute value in this case.

Subtract the numbers and apply the sign of the number with the greater absolute value.

Examples:

Step-by-step explanation:

Let the numbers be x and y

If both are of same signs then

|x + y| = x + y

-|x + y| = -(x + y) = -x - y

If one is negative and one is positive

-|x + (-y)| = -|x - y| = -x + y

-|y + (-x)| = -|y - x| = -y + x

Answer:

all i see is ..........

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

40+76+84 = 200.

200 ÷ 8 = 25

Answer: 25.

With some give information, we need to solve some algebraic problems that involve a change of units, lets see step by step how we do that:

A) First, we know that:

The bridge was constructed in 2.5 years

Knowing that 1 year =  12 months, we can rewrite:

2.5 years = (2.5)*(12 montsh) = 28 months

The two crews built, together, 12,513 ft of the bridge.

Now, we know that the South Padre Island crew built an average of 208.5 per month.

Then in the 28 months for the whole construction, they built 28 times that amount:

D = (28 months)*(208.5 per month)  = 5,838 ft

Then the rest was constructed by the Port Isabel Crew.

They constructed 12,513 ft -  5,838 ft = 6,675ft

So that crew constructed 6,675 ft in 28 months, then the average number of feet built per month (the quotient between the total amount built and the number of months in which that was built) is:

6,675 ft/28 months = 238.39 ft per month.

b)

South Padre Island crew constructed  5,838 ft

Port Isabel Crew constructed 6,675ft

Now we want to transform these to miles.

Remember that;

1 mille = 5280 ft.

Then to transform from ft to miles, we just need to divide our measures by 5280 ft

Then:

South Padre Island crew constructed  5,838 ft = (5,838ft/5280ft) mi = 1.11 mi

Port Isabel Crew constructed 6,675ft = (6,675ft/5280ft) mi = 1.26 mi

c) Is this answer reasonable?

Mathematically, yes, both crews constructed about the same in about the same time, with a small difference that may be related to the sizes of each crew or something like that.

We could conclude that this would not be reasonable if the monthly rates were dramatically different.

If you want to learn more, you can read:

https://brainly.com/question/15051367

Using the combination formula, it is found that:

---------------------------

The order in which the students are chosen is not important, which means that the combination formula is used to solve this question.

Combination formula:

is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

---------------------------

Question a:

Twice as many ways to choose the teams of 3 than the teams of 2, thus:

[tex]C_{n,3} = 2C_{n,2}[/tex]

[tex]\frac{n!}{3!(n-3)!} = 2\frac{n!}{2!(n-2)!}[/tex]

We have to solve for n, thus:

[tex]2!n!(n-2)! = 2(3!)(n!)(n-3)![/tex]

[tex](n-2)! = 3!(n-3)![/tex]

From the factorial concept: [tex](n-2)! = (n-2)(n-3)![/tex], thus:

[tex](n-2)! = 3!(n-3)![/tex]

[tex](n-2)(n-3)! = 3!(n-3)![/tex]

[tex]n - 2 = 3![/tex]

[tex]n - 2 = 6[/tex]

[tex]n = 8[/tex]

There are 8 students in the group.

---------------------------

Question b:

First we have to find the total number of students, using the same logic as item a.

[tex]C_{n,3} = 2C_{n,2}[/tex]

[tex]\frac{n!}{3!(n-3)!} = 3\frac{n!}{2!(n-2)!}[/tex]

[tex]2!n!(n-2)! = 3n!3!(n-3)![/tex]

[tex]2(n-2)(n-3)! = 18(n-3)![/tex]

[tex]n - 2 = 9[/tex]

[tex]n = 11[/tex]

---------------------------

The number of teams of three is:

[tex]C_{11,3} = \frac{11!}{3!8!} = 165[/tex]

165 teams of three can be selected from this group.

A similar problem is given at https://brainly.com/question/23302762

Hi there!  

»»————-　★　————-««

I believe your answer is:  

15cm²

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Area of a rectangle is:}}\\\\A = l * w\\----------------\\\rightarrow L = 5; w = 3\\\\\rightarrow A = 5 * 3\\\\\rightarrow A = \boxed{15cm^2}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

Step-by-step explanation:

7+7.857836-$(92726940)

Answer:

I HOPE IT WILL HELP YOU.

Have a great day ahead.

Based on the fact that there are  4 points which are given below, we have to move the trapezoid to the points of B will be (x+1, y-3).

The points on the graph are:

A trapezoid is regarded as a  quadrilateral that has only one pair of opposite sides that are said to be parallel.

It is made up of a right angles (called right trapezoid), and it can also contain a congruent sides (isosceles). Note that in the above, the only way the trapezoid  can fit into the translation movement (Point B)is if it is moved to the points of (x+1, y-3) on the graph.

B(-5,4) =>B'( -4,1)

B= 5-4,  4-3 =  +1, -3.

Learn more about trapezoid  from

https://brainly.com/question/1410008

After translation, the coordinate of point B' is (-4, 1).

Use the concept of coordinate defined as:

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

The given translation is:

(x+1, y-3)

The coordinate of B' is (-5, 4)

Now apply the translation on the point B'

(-5+1, 4-3) = (-4, 1)

Hence,

After translation, the coordinate of point B' is (-4, 1).

Learn more about the coordinate visit:

https://brainly.com/question/24394007

#SPJ3

Answer:

none of these

Step-by-step explanation:

area of the triangle =height ×base and then divide by 2

Answer:

47. n = -3

48. n = -15

49. n = -13/3

50. n = -17/3

Step-by-step explanation:

47.

6n + 4n = -30, so 10n = -30. Dividing by 10 on both sides, we get that n = -3.

48.

6n - 4n = -30, so 2n = -30. Dividing by 2 on both sides, we get that n = -15.

49.

6n - 4 = -30, so 6n = -26. Dividing by 6 on both sides, we get that n = -13/3.

50.

6n + 4 = -30, so 6n = -34. Dividing by 6 on both sides, we get that n = -17/3.

Answer:

He ate 40% of it

Step-by-step explanation:

20/50 is 2/5, which is basically 4/10 therefore equaling 40%

Answer:

first part is 32 inches, second part is 16 inches, third part is 11 inches.

Step-by-step explanation:

2x + x + x - 5 =  59

4x + 64

x = 16.

we can then plug 16 in first parts expression, 2x, for 32. second part is just x so 16. 3rd part is 5 less, x-5, so 11.

Answer:

b / a.

Step-by-step explanation:

b / c = a

b = a * c

a * c = b

c = b / a.

Hope this helps!

Answer:

hope this helps you have a great