mike sold half of his comic books and then bought 9 more. he now has 14. how many did he begin with?

Answer:

Step-by-step explanation:

The two angles are interior angles on the same side of the transversal. They are supplementary.

2x + 50 + 5x - 80 = 180             Combine like terms

7x - 30 = 180                              Add 30 to both sides

7x = 210                                     Divide by 7 on both sides

x = 210/7

x = 30

Answer:

x = 5

Step-by-step explanation:

The opposite sides of a rectangle are equal , then perimeter

2(- 2x - 6) + 2(4x + 4) = 16 ← distribute parenthesis and simplify left side

- 4x - 12 + 8x + 8 = 16

4x - 4 = 16 ( add 4 to both sides )

4x = 20 ( divide both sides by 4 )

x = 5

x=1/4

Step-by-step explanation:

perimeter of a rectangle

2(L+w)

-2x-6(4x+4)

open the bracket

-2x(4x+4)-6(4x+4)

-8x^2-8x-24x-24

-8x^2-32x-24

2(-8x^2-32x-24)

-16x^2-64x-48

coefficient of x is 64

16=64x

x=1/4

Answer:

[tex]\frac{x^{\frac{1}{4} } +2}{x^{\frac{1}{4} } -2}[/tex]

rationalise the denomimator:

[tex] = \frac{ {x}^{ \frac{1}{4} } + 2 }{ {x}^{ \frac{1}{4} } - 2} . \frac{( {x}^{ \frac{1}{4} } + 2)}{ ({x}^{ \frac{1}{4} } + 2)} \\ \\ = \frac{ {x}^{ \frac{1}{2} } + 4 {x}^{ \frac{1}{4} } + 4 }{ {x}^{ \frac{1}{2} } - 4} [/tex]

Step-by-step explanation:

a)6!+12-3

=6!+9

b)-18+3!+4

=3!-14

=3!+(-14)

both are in the form if (+)!+constant.

Note:if you need to know any question about it please let me know.

Answer:

7, 11, 5

Step-by-step explanation:

7 + 11 = 18

18 + 5 = 23

Answers: ( x - 3)( 2x + 5) equals 2x^2 − x − 15

(3x + 7)(2x - 1) equals 6x^2 + 11x − 7

Explanation: You expand the polynomial using the FOIL method.

Answer:

[tex]x=14[/tex]

Step-by-step explanation:

If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.

Therefore, if [tex](x-4)[/tex] and [tex](y+3)[/tex] vary inversely, their product will be the same for all values of [tex]x-4[/tex] and [tex]y+3[/tex].

Let [tex]x=8[/tex] and [tex]y=2[/tex] as given in the problem. Substitute values:

[tex](8-4)(2+3)=(4)(5)=20[/tex]

Hence, the maintained product is [tex]20[/tex].

Thus, we have the following equation:

[tex](x-4)(y+3)=20[/tex]

Substitute [tex]y=-1[/tex] to find the value of [tex]x[/tex] when [tex]y=-1[/tex]:

[tex](x-4)(-1+3)=20,\\(x-4)(2)=20,\\x-4=10,\\x=10+4=\boxed{14}[/tex]

Answer:

x = -4

Step-by-step explanation:

-x+7 = -6x-13

Add 6x to each side

-x+7+6x = -6x-13+6x

5x+7 = -13

Subtract 7 from each side

5x+7-7=-13-7

5x = -20

Divide by 5

5x/5 = -20/5

x = -4

Step-by-step explanation:

radius =x+2

diameter=4x

Diameter=2(radius)

4x=2(x+2)

4x=2x+4

4x-2x=4

2x=4

x=4/2

x=2

Subtitute x=2 in radius:

r=2+2=4

Area=πr²

Area=3.14×4²

Area=3.14×16

Area=50.24

Both the circles are identical so area is same.

Note:if you need to ask any question please let me know.

Answer:

Step-by-step explanation:

Based on ur graph, in a class of 90 students (20 rock, 40 hip hop, and 30 country...added = 90) , 30 chose country....30/90 reduces to 1/3.....so 1/3 chose country.

In a class of 450 students......1/3 * 450 = 450/3 = 150 chose country

Answer:

The total percentages do not equal 100%, they equal 102%. If all friends answered, his total should equal 100%

Step-by-step explanation:

0.42 is 42%, 22% is 22%, and 2/5 is 0.4 which is 40%. Together that is 102%. If all friends answered, his total should equal 100%

Answer: 14 degree decrease

Step-by-step explanation:

8-14= -6

Answer:

a).

[tex]{ \bf{first \: term}} \\ let \: n = 1 \\ n_{1} = {1}^{2} + 3(1) + 1 \\ n_{1} = 5 \\ \\ { \bf{second \: term}} \\ let \: n = 2 \\ n_{2} = {2}^{2} + 3(2) + 1 \\ n_{2} = 11 \\ \\ { \bf{third \: term}} \\ n_{3} = {3}^{2} + 3(3) + 1 \\ n_{3} = 19 \\ \\ { \bf{fourth \: term}} \\ n_{4} = {4}^{2} + 3(4) + 1 \\ n_{4} = 29[/tex]

b).

common difference, d:

[tex]d = n_{4} - n_{3} \\ d = 29 - 19 \\ d = 10\\ but \: increases \: by \: 2 \\ d = 10 + 2 = 12\\ therefore : \\ n_{5} = n_{4} + d \\ n_{5} = 29 + 12 \\ n_{5} = 41[/tex]

c).

[tex]n_{5} = {5}^{2} + 3(5) + 1 \\ n_{5} = 41[/tex]

yes it is the same

Answer:

y = -5/7x + 27/7

Step-by-step explanation:

y2 - y1 / x2 - x1

1 - 6 / 4 - (-3)

-5 / 7

= -5/7

y = -5/7x + b

1 = -5/7(4) + b

1 = -20/7 + b

27/7 = b

Answer:

D. (r + s)t = rt + st

Step-by-step explanation:

Distribute means that the term outside gets multiplied to each term on the inside of the parentheses

(r + s)t = rt + st

Answer:

Elga is 37 years old

Step-by-step explanation:

(A shame they are not the same age but that would be too easy...)

So... they both equal 112 and one of them (Alvin) is 3 times older

Basically just divide 112 and 3

Answer : 37 years old

Check Work

112 - 37 = 75

75 + 37 = 112

Hope this helps :)

Answer:

x = -5

Step-by-step explanation:

4 – 2(x + 7) = 3(x + 5)

Distribute

4 - 2x-14 = 3x+15

Combine like terms

-2x-10 = 3x+15

Add 2x to each side

-2x-10 +2x= 3x+15+2x

-10 = 5x+15

Subtract 15 from each side

-10-15 = 5x+15-15

-25 = 5x

Divide by 5

-25/5 = 5x/5

-5 =x

Answer:

x = -5

Step-by-step explanation:

4 - 2(x + 7) = 3(x + 5)

so, let's do the multiplications. remember, when two terms are multiplied, then everything of the left is multiplied with everything on the right. and a "-" flips signs.

2(x + 7) = 2x + 14

3(x + 5) = 3x + 15

so, in total

4 - 2x - 14 = 3x + 15

now, we add combinable things together, and we can also move things from one side of the equation to the other (by adding our subtracting the same thing on both sides, so that the value of the expression remains unchanged).

-2x - 10 = 3x + 15

-25 = 5x

and now, what applied to adding and subtracting also aims to multiplication and division. again, it is important to do the same thing to both sides.

-5 = x

Answer:

wheres the rest of it

Step-by-step explanation:

Answer:

c seems right

Step-by-step explanation:

Answer:

39) a) [tex]2^{1}[/tex]= 2

     b) [tex]2^{3}[/tex]= 2×2×2=8

     c)[tex]2^{t}[/tex]

40) no

Step-by-step explanation:

40) both point A and B is below the point C. therefore it cannot pass through point c

Answer: D

Step-by-step explanation:

Let say a: the line decreasing

b: the line increasing

[tex]a: \ is\ passing\ through\ (0,2)\ and\ (2,-2)\\has \ the \ slope=\frac{2+2}{0-2} =-2\\its\ equation\ is\ y-2=-2(x-0) \ or\ y=-2x+2\ or\ 2x+y-2=0 \\for\ (0,0): -2 <=0\\\\\boxed{First\ region\ is\ y\leq -2x+2}\\\\[/tex]

[tex]b:\ is\ passing\ through\ (2,0)\ and\ (-2,-2) \\has\ the\ slope \ = \frac{-2-0} {-2-2} =\frac{1} {2} \\its\ equation\ is\ y-0=\frac{1}{2}(x-2)\ or\ y=\dfrac{x}{2}-1 \ or\ -x+2y+2=0\\for\ (0,0):\ +2 > 0\\\\\boxed{Second \ region\ is\ y\leq \dfrac{x}{2}-1 }\\[/tex]

Answer is D

5y3+y+3

5y4+3

I'm not sure but I think it will help you out

Answer:

Divide both sides by 2²ˣ

Substitute (3/2)ˣ = t

Solve for t:

Positive root is considered as (3/2)ˣ can't be negative.

Answer:

199 pages

Step-by-step explanation:

The average number of words on the page is 300.  Because there are 59,540 words and 59540/300 = 198.46 (approximately), there are 199 pages in the book (because the 0.46 pages would be the last page).

Answer:

232

Step-by-step explanation:

Since the polygon is regular, each side of the polygon is equal

[tex]x + 7 = \frac{4}{3} x - \frac{1}{3} [/tex]

[tex]7 = \frac{1}{3} x - \frac{1}{3} [/tex]

[tex] \frac{22}{3} = \frac{1}{3} x[/tex]

[tex]x = 22[/tex]

This means each side is worth

[tex]22 + 7 = 29[/tex]

or

[tex] \frac{4}{3} x - \frac{1}{3} = \frac{87}{9} = 29[/tex]

There is 8 sides so the perimeter is

[tex]29 \times 8 = 232[/tex]

Hi ;-)

-4 ≤ 2x - 6 ≤ 12

2x - 6 ≥ -4  / + 6

2x ≥ 2  / : 2

x ≥ 1

2x - 6 ≤ 12  / + 6

2x ≤ 18  / : 2

x ≤ 9

Answer:

6 is the answer. Hope this helps you! Stay blessed .

Answer:

the answer is no c because the translation is done in clockwise taking y intercept in 6 units