Luke bought a new jacket using a 10% off coupon. He paid $12.93 total, which inclues $1.43 in tax.

Answer: −1−3k

Step-by-step explanation:

Distribute:

(−3+4k)−1(−2+7k)

(-3+4k)+{2-7k}

Eliminate redundant parentheses:

(−3+4k)+2−7k

-3+4k+2-7k

Add the numbers:

−3+4k+2−7k

−1+4k−7k

Add the same term to both sides of the equation:

−1+4k−7k

−1−3k

Answer:

136

Step-by-step explanation:

4 times 32 = 128

32/4=8

128+8=136

Answer:

135

Step-by-step explanation:

1. divide 32 by 60 to get how many copies per second

[tex]32/60 = 0.533[/tex]

2. convert 4min and 15 sec to seconds

it is 255 seconds

3. Multiply copies per second by number of seconds

[tex]0.533(255) = 135.91[/tex]

4. Round down to whole number because you can't copy part of a paper

20x - 15 - 3x - 1 = 15x + 27 + 2x

17x - 16 = 17x + 27

17x - 17x = 27 + 16

0 = 43

Since zero is not equal to 43, this equation has no solution.

Answer:

36.17

Step-by-step explanation:

Add all and divide by 9

Answer: 60 feet

Step-by-step explanation:

Fron the question, we have been told to use a scale factor of 1 inch:12 feet. This simply means that 1 inch has been represented to 12 feet of the actual dimension.

We are further told that a plastic toy bird has a wingspan of 5 inches. The actual bird wingspan will therefore be 5 multiplied by 12 feet and this will be:

= 5 × 12 feet

= 60 feet

A plastic toy bird that has a wingspan of 5 inches has an actual bird wingspan of 60 feet

Answer:

The mapping diagram above is a function since there are no two values (integers) in the range (Set B) where there is only one value (integer) in the domain (Set A) mapped unto them

Step-by-step explanation:

By definition a function is an association between the individual elements within two sets such that all element in one set is mapped to precisely one element of the other set

In the given example, all the elements in Set A are mapped to exactly one element of the Set B

That is the function from A to B is the set C (-1, -4), (9, 5), (1, 4), whereby the first component of the ordered pair in the set C are the elements of the set A.

The mapping diagram above is a function since there are no two values in set B where there is only one value in Set A mapped to them.

Therefore, since the mapping diagram illustrates a 1 input to 1 output relationship, then it is a function.

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Answer:

(-3,8)

Step-by-step explanation:

formula

(y1+y2/2 ,X1+X2/2)

=(-5-1/2 ,7+9/2)

=(-6/2 ,16/2)

=(-3,8)

Answer:

The graph of linear inequalities include a dashed line if they are greater than or less than but not equal to. Linear equations, on the other hand, include a solid line in every situation. Moreover, linear inequalities include shaded regions whereas linear equations do not.

Step-by-step explanation:

Answer:

in the proprety of the number of negs and postive and y the graph -23+y=8 being that the nuber is -15

Step-by-step explanation:

b×5×c×8/b×3×c×2

5/3×4

the answer is 20/3

Answer:

-4x^3 + 7y^3 + 5

Step-by-step explanation:

7y^3 - 7x^3 + 4 - 5 + 6 - 3x^3 + 6x^3     Given

7y^3  - 7x^3 - 3x^3 + 6x^3 + 4 - 5 + 6     Rearrange

7y^3 - 4x^3 + 5                                        Combine the like terms

or

-4x^3 + 7y^3 + 5                                       Answer

(1.25)t=gallons    so 1.25 times the ammound of hours

Answer:

[tex]M=(\frac{3}2},\frac{9}{2})[/tex]

Step-by-step explanation:

The midpoint is given by the formula:

[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

So we have the two endpoints A(3,7) and B(0,2).

Let's let (3,7) be x₁ and y₁ and let's let (0,2) be x₂ and y₂.

Therefore, our midpoint is:

[tex]M=(\frac{3+0}{2},\frac{7+2}{2})[/tex]

Add:

[tex]M=(\frac{3}2},\frac{9}{2})[/tex]

Or:

[tex]M=(1.5,4.5)[/tex]

And we're done!

Hope this helps!

Answer: (1.5,4.5)

Step-by-step explanation:

For midpoint i have a little cheer to remember the steps it goes," Midpoint, midpoint, what do you do? add them together and divide by two.

so using this problem as an example you would add the y coordinates and the x coordinates and get (3,9) then you divide X and Y by two.

So 3 divided by 2 is 1.5 so that is the X coordinate for the midpoint

and 9 divided by 2 is 4.5 so that is your Y coordinate for the midpoint.

Put it together and your answer is (3.5,4.5)

Answer:

f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola. ... When written in "vertex form": • (h, k) is the vertex of the parabola, and x = h is the axis of symmetry.

Answer:

y =0.25(x-4 )^{2}-1

Step-by-step explanation:

The formula of vertex form is as follows:

Y = a(x-h)^2+k

h = the x value for the vertex (in this case it is 4)

k = the y value for the vertex (in this case it is -1)

If you input these into the equation you are left with:

Y = a(x-4)^2-1

To find 'a' I just entered this equation into the Desmos calculator and messed around with the value until the y-intercept was (8,3)

I hope this was able to help! ^_^

Answer:

Simplify.

There's a product, so we are multiplying.

5 x...

The difference of one and a number. The number is a variable, since it could be any number.

1 - x

Let's combine them.

5 x (1 - x)

5(1 - x)

Hope this helped!

Mark this Brainliest, not that it matters.

Good luck :)

Answer:

C. Two distinct lines are parallel if they are in the same plane and never intersect each other.

Step-by-step explanation:

Parallel lines are best defined as 2 different lines that are in the same plane and will never intersect each other at any point in the graph.

They are always the same distance apart and will never touch.

So, C is correct

Answer:

C

Step-by-step explanation:

The very definition of parallel lines is that they have the same slope, if they have the same slope, they will never meet.

Answer:

mass of copper in the resulting mixture = 104 grams of pure copper

Percent of the resulting mixture that is copper = 81.25%

Step-by-step explanation:

The complete question is

An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 grams of an alloy that contains 52% copper with 78 grams of pure copper. How many grams of copper are in the resulting mixture? What percent of the resulting mixture is copper?

The original alloy has a mass of 50 grams,

52% of this 50 grams is copper,

mass of copper = 0.52 x 50 = 26 grams

78 grams of pure copper added will bring the mass of copper to..

mass of copper = 26 + 78 = 104 grams of pure copper

After adding 78 grams of copper to the alloy, the resultant mass of the mixture will be = original mass of alloy + mass of the pure copper added

==> 50 + 78 = 128 grams

Percentage of the resulting mixture that is copper = (total mass of copper in the mixture/total mass of mixture x 100%)

==> 104/128 x 100% = 81.25%

Answer:

Step-by-step explanation:

0.31=0.3100

0.409=0.4090

0.414=0.4140

0.4186

arranging smallest to largest

0.3100,0.4090,0.4140,0.4186

or 0.31,0.409,0.414,0.4186

Answer:

M = (1.5, 2.5 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

Here (x₁, y₁ ) = C(4, 6) and (x₂, y₂ ) = D(- 1, - 1) , thus

midpoint = [ [tex]\frac{1}{2}[/tex] (4 - 1) , [tex]\frac{1}{2}[/tex] (6 - 1 ) ] = (0.5(3), 0.5(5) ) = (1.5, 2.5 )

Answer:

[tex]x\geq -4[/tex]

Step-by-step explanation:

So we have the inequality:

[tex]3(x+6)-2(x+2)\geq 10[/tex]

First, distribute:

[tex](3x+18)+(-2x-4)\geq 10[/tex]

Combine like terms:

[tex](3x-2x)+(18-4)\geq 10[/tex]

Add:

[tex]x+14\geq 10[/tex]

Subtract 22 from both sides:

[tex]x\geq -4[/tex]

And we're done!

Answer:

~1.909859317n

Step-by-step explanation:

Diameter = circumference divided by pi. 6/pi = 1.909859317

Answer:

Step-by-step explanation:

Circumference of a circle = 6π meters

                         πd = 6π      {Here, d is the diameter}

                           [tex]d=\frac{6\pi }{\pi }[/tex]

                           d = 6 meters

Answer:

Step-by-step explanation:

5^3 = 5 x 5 x 5 = 25 x 5 = 125

answer is a

Answer: the lengths of the line segments. hope this helps!

Step-by-step explanation:

Answer: q=31

Step-by-step explanation:

q -8 = 23    Add 8 to both sides

  +8    +8

q = 31

Answer:

x=-3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−21+6x=3(3x−5)−x

−21+6x=(3)(3x)+(3)(−5)+−x(Distribute)

−21+6x=9x+−15+−x

6x−21=(9x+−x)+(−15)(Combine Like Terms)

6x−21=8x+−15

6x−21=8x−15

Step 2: Subtract 8x from both sides.

6x−21−8x=8x−15−8x

−2x−21=−15

Step 3: Add 21 to both sides.

−2x−21+21=−15+21

−2x=6

Step 4: Divide both sides by -2.

−2x

−2

=

6

−2

Answer:

Step-by-step explanation:

Terms with same variables are like terms

1) 10x + 3y + 5x

Here, 10x and 5x are like terms. so add them

10x + 5x + 3y = 15x +3y

2)2x + 7y +4x + 6x = 2x + 4x + 6x + 7y = 12x + 7y

3)9y+ 3y +5x = 12y +5x

4)2y +7y +4y +6y = 19y

5)8x + y - 2x = 8x  -2x + y = 6x + y

6) x + 7y -4y +9x = x +9x  + 7y - 4y    = 10x + 3y

8) 5y +5y +5y +5x = 15y + 5x

The expanded form representation of the decimal number given as in the task content is; (8×10) + (0×1) +(1 ×0.1) +(0×0.01) + (6×0.001).

It follows from the task content that the number given is; 80.106.

Hence, the expanded form is;

(8×10) + (0×1) +(1 ×0.1) +(0×0.01) + (6×0.001)

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Answer:

10

Step-by-step explanation:

2x(+5)=(25)< subtract 5 to each side

2x=20<divide 2 to 20

x=10

Answer:

yes

Step-by-step explanation:

-17.84 can be written as a/b where a and b are integers

-1784/ 100

This is a rational number