After a series discount of 18/10, a GPS had a net cost of $252.45. What is the list price?
..EE
The list price of the GPS is $
(Round to the nearest cent as needed.)

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

[tex]3\left(12x-16\right)=4\left(12-3x\right)[/tex]

First, let's solve the brackets. Use the distribution property. It simply means multiplying the value outside of the brackets to each value inside the brackets.

[tex]3\left(12x-16\right)[/tex]

[tex]=3\cdot \:12x-3\cdot \:16[/tex]

[tex]=36x-48[/tex]

[tex]4\left(12-3x\right)[/tex]

[tex]=4\cdot \:12-4\cdot \:3x[/tex]

[tex]=48-12x[/tex]

Now we've simplified the expression to:

[tex]36x-48=48-12x[/tex]

[tex]\mathrm{Add\:}48\mathrm{\:to\:both\:sides}[/tex]

[tex]36x-48+48=48-12x+48[/tex]

[tex]36x=-12x+96[/tex]

[tex]\mathrm{Add\:}12x\mathrm{\:to\:both\:sides}[/tex]

[tex]36x+12x=-12x+96+12x[/tex]

[tex]48x=96[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}48[/tex]

[tex]\frac{48x}{48}=\frac{96}{48}[/tex]

[tex]\bold{x=2}[/tex]

Therefore, the answer is [tex]x = 2[/tex]

The solution of the given equation [tex]0. 3(12x - 16) = 0. 4(12 - 3x)[/tex] is [tex]x=2[/tex].

[tex]0. 3(12x - 16) = 0. 4(12 - 3x)[/tex]

Use the simple rules of algebra like the BODMAS rule to get the equivalent expression for the given equation.

Firstly, open the brackets and then multiply the coefficients. In the next step arrange the terms to get the simplified solution.

On Solving the brackets, we get

[tex]3.6x-4.8=4.8-1.2x\\[/tex]

[tex]3.6 \ x+1.2 \ x=4.8+4.8[/tex]

[tex]4.8 \ x=9.6 \\x=\dfrac{9.6}{4.8} \\[/tex]

[tex]\ x= 2[/tex]

Hence, the solution of the given equation is [tex]x=2[/tex].

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Answer:

11X + 3 is correct

Step-by-step explanation:

first add the 9x and 2x= 11x

and then -2 + 5 = 3

Thus 11x + 3

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Answer:

Their are many answers for that seqence such as

1,6,11,16,21, etc..

Answer:

6,11,16,21,26,31,36...

Step-by-step explanation:

5x1=5 +1=6

5x2=10+1=11

...

Answer:

1.2

Step-by-step explanation:

17 ÷ 20 + 7 ÷ 20

I hope this helps!

Answer:

a = StartFraction 11 over 88 EndFraction; b = 12.5 percent

a

because I did my research

Answer:

B. a=11/88 ; b=12.5%

Step-by-step explanation:

Answer:

The ninth piece is 0.5 feet long

Step-by-step explanation:

176 divided by 9

Hope this helps!

Answer:

$6.40

Step-by-step explanation:

Answer:

Step-by-step explanation:

6.4

Answer:

10x + 9

Step-by-step explanation:

3(2x + 2) +4x + 3

=> 6x + 6 + 4x + 3

=> 10x + 9

Therefore, 10x + 9 is the solved equation.

Hoped this helped.

[tex]GeniusUser[/tex]

3(2x + 2) + 4x + 3

6x + 6 + 4x + 3

10x + 6 + 3

10x + 9

Answer is that 10x + 9 is equal to 3(2x+2) + 4x + 3

Answer:

e

Step-by-step explanation:

e

Answer:

x = 33

Step-by-step explanation:

11 - 4 = 7

You need to make that fraction equal 11

33/3 = 11

I hope this helps!

Answer:

Not Step-by-step explanation:

Not enough info

Answer:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x).

Step-by-step explanation:

Q: What is the coefficient in 6x^2

A: 6

Note: It is USUALLY a number

Answer:

1) 59

2) 31

3) 59

4) 31

5) 31

6) 59

7) 118

8) 62

9) 62

10) 118

11) 31

Step-by-step explanation:

The angle marked 59 degrees is congruent to angles 1, 3, and 6. The angle marked 59 + angle 11 is 90 degrees because the shape is a rectangle, so 90-59=31. Angle 11 is congruent to angles 2, 4, and 5. Now that we know that the triangle on the left has two angles of 59 degrees and that the angle measures of a triangle add to 180, 59+59=118 and 180-118=62, so angle 9 is 62 degrees. Angles 8 and 9 are vertical angles and therefore are congruent. To find angles 10 and 7, we can use the same method: angles 4 and 5 are both 31 degrees, 31+31=62, so we subtract 62 from 180 to get 118. Angles 7 and 10 are also vertical angles, so they are both 118 degrees. I hope this helps!

Explanation:

Let's say we started at point B (-6, 3). To get to point A(-4,2), we move down 1 and to the right 2. This movement determines the slope.

slope = rise/run = -1/2

rise = -1 and run = 2

A negative rise value means we go downhill when moving to the right.

The answer is C) m∠1 + m∠2 = 90

Explanation: So ∠1 is x and ∠2 is x-4

Basically you know than ∠3 is 90° ... And a straight line is 180° ..                            So technically we can just find out 180-90 is 90(the other angle 1 + 2).

To get 90° we'll add ∠1 and ∠2 in other ways, like technical thinking-

So you already know adding ∠1 and ∠2 is 90°. So ∠1 + ∠2 = 90°

In other words you can say m∠1 + m∠2 = 90

[tex]L.H.S\\\\=\sin \theta \sec \theta \\\\=\sin \theta \cdot \dfrac 1{\cos \theta } \\\\=\dfrac{\sin \theta}{\cos \theta}\\\\=\tan \theta\\\\=R.H.S\\\\\text{Proved.}[/tex]

Answer:

x is 24°

Step-by-step explanation:

angles substended by the same chord or arc....90-66= 24°.

Answer:

61

Step-by-step explanation:

b(a + b) + a

First, distribute b to a+b

ba + b^2 + a

Now, substitute values

9(4) + 4(4) + 9

36 + 16 + 9 = 61

-Chetan K

The correct option is (B). [tex]3x+5y=29[/tex] And [tex]-3x-12y=-48[/tex].

Given Equations,

[tex]3x + 5y = 29......(1)[/tex]

[tex]x + 4y = 16.......(2)[/tex]

We have to find out  Which system of equations is equivalent to the Given system of Equations.

 1). System of equation are,

[tex]3x+5y=29\\-x-4y=16[/tex]

taking - common and transposing to R.H.S we get,

[tex]x+4y=-16[/tex]

This equation is not equal to equal (2), so the option (1) is not the system of equation equivalent to given Equations.

Similarly, on checking other options,

2. system of equation,

[tex]3x+5y=29\\-3x-12y=-48[/tex]

Taking -3 common from L.H.S. we get,

[tex]-3(x+4y)=-48\\\\x+4y=\dfrac{-48}{-3}[/tex]

[tex]x+4y=16[/tex].

Hence the Above system of equation is equivalent to the given system of equation.

So, there is no need to check option (3) and option (4).

Hence the correct option is (B).

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Answer:

30°, 210°, 390°

Step-by-step explanation:

Given

f(x ) = 0 has solutions 0°, 180°, 360° , then

f(x - 30) = 0

Add 30° to each of the solutions of f(x) = 0

(0 + 30)° = 30°

(180 + 30)° = 210°

(360 + 30)° = 390°

Answer:

[tex]\frac{1}{4}[/tex] is larger than [tex]\frac{3}{14}[/tex]

[tex]\frac{1*14}{4*14}[/tex] = [tex]\frac{14}{56}[/tex]

[tex]\frac{3*4}{14*4}[/tex] = [tex]\frac{12}{56}[/tex]

i cant tell if it is [tex]\frac{1}{4}[/tex] or 2 [tex]\frac{1}{4}[/tex]

but if it is 2 [tex]\frac{1}{4}[/tex] that mean this is a mixed number

and [tex]\frac{3}{14}[/tex] is a proper fraction

Answer:

[tex]a_{15}=-268,435,456[/tex]

Step-by-step explanation:

First, find what factor each term is multiplied by to get to the next. To do this, divide the second term by the first, the third term by the second, etc

[tex]4\div-1=-4\\-16\div4=-4\\64\div-16=-4[/tex]

The common factor is 4. Using that, you can now write the equation for the geometric sequence in the form of:

[tex]a_n=a_1x^{n-1}[/tex]

It looks scarier than it is. aₙ is the nth term in the sequence, x is the factor, and n is the index in the sequence, that's all it is.

Plug in the information we have to get the equation for this sequence:

[tex]a_n=(-1)(-4)^{n-1}[/tex]

Then, you can solve for the 15th term:

[tex]a_{15}=(-1)(-4)^{15-1}\\a_{15}=(-1)(-4)^{14}\\a_{15}=(-1)(268,435,456)\\a_{15}=-268,435,456[/tex]

Basically, just raise the scale factor to the power of the term you want minus 1, then multiply that by the first number.

Answer:

6.4, 7.5, 8.6adding 1.1 each time

Applying the inscribed angle theorem, the missing measures are:

1. m∠EDA = 29°

2. m∠BDC = 21°

3. m∠BDC = 21°

4. measure of arc AB = 80°

5. m∠AEB = 40°

6. m∠AEB = 29°

7. m∠BAC = 21°

8. measure of arc ED = 90°

9. m∠ECD = 45°

10. m∠ACB = 40°

11. m∠EBD = 45°

12. m∠ADB = 40°

13. m∠CAD = 45°

14. m∠EAB = 111°

15. m∠EBC = 90°

The inscribed angle theorem states that, if ∠a is an inscribed angle, that intercepts arc AB, therefore: m∠a = ½(measure of arc AB).

The diagram showing circle P is attached below. We are given the following:

measure of arc EA = 58°

measure of arc BC = 42°

measure of arc CD = 90°

Thus:

1. m∠EDA = ½(measure of arc EA)

m∠EDA = ½(58)

m∠EDA = 29°

2. m∠BDC = ½(measure of arc EA)

m∠BDC = ½(42)

m∠BDC = 21°

3. m∠BEC = ½(measure of arc BC)

m∠BDC = ½(42)

m∠BDC = 21°

4. measure of arc AB = 180 - 58 - 42

measure of arc AB = 80°

5. m∠AEB = ½(measure of arc AB)

m∠AEB = ½(80)

m∠AEB = 40°

6. m∠ECA = ½(measure of arc EA)

m∠AEB = ½(58)

m∠AEB = 29°

7. m∠BAC = ½(measure of arc BC)

m∠BAC = ½(42)

m∠BAC = 21°

8. measure of arc ED = 180 - 90

measure of arc ED = 90°

9. m∠ECD = ½(measure of arc ED)

m∠ECD = ½(90)

m∠ECD = 45°

10. m∠ACB = ½(measure of arc AB)

m∠ACB = ½(80)

m∠ACB = 40°

11. m∠EBD = ½(measure of arc ED)

m∠EBD = ½(90)

m∠EBD = 45°

12. m∠ADB = ½(measure of arc AB)

m∠ADB = ½(80)

m∠ADB = 40°

13. m∠CAD = ½(measure of arc CD)

m∠CAD = ½(90)

m∠CAD = 45°

14. m∠EAB =  ½(180 + 42)

m∠EAB = ½(222)

m∠EAB = 111°

15. m∠EBC = ½(measure of arc EDC)

m∠EBC = ½(180)

m∠EBC = 90°

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