An internet service provider is implementing a new program based on the number of connected devices in each household. Currently, customers are charged a flat rate of $175 per month. The new plan would charge a flat rate of $94 plus an additional $4.50 per device connected to the network. Find the number of devices, x, for which the cost of the new plan is less than the cost of the current plan

distance between one pair of integers that she plotted: 10 unit, 7 unit, 3 unit.

Number line :

the line is a horizontal line that has equally spread number increments. The numbers included on the line will determine how the number on the line can be answered. The question that goes with the number determines how it will be used, for example, in plotting a point.

The numbers on the left are smaller than the numbers on the right of the number line. A number line can also be used to carry out addition, subtraction, and multiplication. We always move right to add, move left to subtract, and skip count to multiply.

Distance formula :

D= right side integer of horizontal line  - left side integer of the horizontal line

Distance between the points -8 and 2

d = 2-(-8)

d=10 unit

Distance between the points -5 and 2

d= 2-(-5)

d=2+5

d=7 unit

Distance between the points -5 and -8

d= -5-(-8)

d=-5+8

d=3

distance between one pair of integers that she plotted: 10 unit, 7 unit, 3 unit.

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Answer: it is linear

Step-by-step explanation:

y = 10^2

y = 100

horizontal line going through y = 100

Answer:

[tex] \frac{3x}{2} [/tex]

Answer:

Step-by-step explanation:

1.5 and 2.25

26 is the right answer .

Given expression  5(7 - 4)² ÷ 3 + 11.

BODMAS rule is an acronym that is used to remember the order of operations to be followed while solving expressions in mathematics. It stands for B - Brackets, O - Order of powers or roots, D - Division, M - Multiplication, A - Addition, and S - Subtraction. It means that expressions having multiple operators need to be simplified from left to right in this order only. First, we solve brackets, then powers or roots, then division or multiplication (whichever comes first from the left side of the expression), and then finally, subtraction or addition, whichever comes on the left side.

Using the BODMAS rule, we solve bracket first,

5(3)² ÷ 3 + 11

45 ÷ 3 + 11

= 15 + 11

= 26

after evaluate the expression we get 26 as answer.

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Answer:If you can spot a factor of

f(x)

then you can use synthetic division to divide by that factor to give a simpler polynomial to factor.

Step-by-step explanation:

Answer:

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Answer:

99 x 78 = 7722

+ 33

= 7755

x 66

Answer:

26

Step-by-step explanation:

I will assume you meant this:    5 ( 7-4)²  ÷ 3 + 11

Using PEDMAS

  Parentheses first

      5 ( -3)² ÷ 3 + 11

  then exponents

     5 ( 9)  ÷ 3 + 11  

   then division

        5 * 3   + 11

    and multiplication

          15 + 11    then addition and or subtraction = 26

Answer:

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

[tex]\frac{24.5}{100} *x = 19.6\\x = 19.6 *\frac{100}{24.5} \\x = 80[/tex]

19.6 is 24.5% of 80

Answer:

24.5% of 80= 19.6

Step-by-step explanation:

24.5% of what number is equal to 19.6

24.5

____ x = 19.6

100 100

x = 19.6 x ____

24.5

= x =80

HOPE IT HELPS

Answer:

Coordinates of D are (-1, 4)

Step-by-step explanation:

I have assumed that what you wrote as 1n is actually 1/n otherwise the question does not make sense

1/n with n = 5 ==> that D is 1/5th of the distance from C on the CD line segment

Point D is 1/5th of the way from C to D

I will represent the (x, y) coordinates of points C, D and E as
[tex](x_C, y_C), (x_D, y_D) , (x_E, y_E)[/tex] respectively

Then the x-distance from C to E = [tex]x_E - x_C[/tex] and the y-distance from C to E will be [tex]y_E - y_C[/tex]

[tex]\text{1/5th of }[/tex] [tex]x_E - x_C = \dfrac{x_E - x_C}{5}[/tex] but this is relative to the location of [tex]x_C[/tex].
So we have to add this to [tex]x_C[/tex] to get the absolute x-coordinate of D

So
[tex]\displaystyle \large x_{D}=x_{C}+\dfrac{x_{E}-x_{C}}{5}[/tex]

and similarly

[tex]{\displaystyle y_{D}=y_{C}+\dfrac{y_{E}-y_{C}}{5}}[/tex]

Putting in the values for these coordinates we get

[tex]x_{D}=-2.5+\dfrac{5-(-2.5)}{5} \\\\= -2.5 + \dfrac{5 + 2.5}{5}\\\\\= -2.5 + \dfrac{7.5}{5}\\\\= - 2.5 + 1.5\\\\= -1.0[/tex]

[tex]y_{D}=1.25+\dfrac{15-1.25)}{5} \\\\= 1.25+ \dfrac{15 - 1.25}{5}\\\\\ = 1.25+ \dfrac{13.75}{5}\\\\= 1.25+ 2.75\\\\= 4.0[/tex]

So the coordinates of D are:

[tex]\boxed{D(-1, 4)}[/tex]

The graph shows the point D is indeed 1/5th of the distance from C to D

Answer:

infinitely many solutions

Step-by-step explanation:

4=2x+y

-6x-3y=-12

First, line up the variables in the right place

4=2x+y

-12=-6x-3y

Choose the variable you want to eliminate, I will do x

Multiply everything in the first equation by 3

3(4)=(2x+y)3

-12=-6x-3y

Simplify

12=6x+3y

-12=-6x-3y

If we combined everything, it would all cancel

This means there are infinitely many solutions

Answer:I think the answer would be 179 mi.

Step-by-step explanation:9845 divided by 55 is equal to 179

Answer: See attached.

Step-by-step explanation:

         Since this inequality uses < and not ≤, we will be using a dashed line.

         Next, we will shade "below" the line since this inequality uses the < aka less than.

         Lastly, our y-intercept is [tex]\frac{1}{2}[/tex].

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{ m}{\downarrow }}{\cfrac{1}{2}}x+5\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{1}\implies -2}}[/tex]

so, we're really looking for the equation of a line with a slope of -2 and that passes through (-2 , 3)

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{3})\hspace{10em} \stackrel{slope}{m} ~=~ - 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{- 2}(x-\stackrel{x_1}{(-2)})\implies y-3=-2(x+2) \\\\\\ y-3=-2x-4\implies y=-2x-1[/tex]

The value of the exponent equation [tex]\frac{8}{125} ^{-2/3}[/tex] is 25/4 or 6.25.

According to the question the exponent equation that we have been given is :

          [tex]\frac{8}{125} ^{-2/3}[/tex]

First, we will change the negative sign of the exponent and to change the negative sign of the exponent we will reciprocal the fraction that is

        = [tex]\frac{125}{8} ^{2/3}[/tex]

Which is also equal to

  =   [tex]{125} ^{-2/3}/8^{2/3}[/tex]

Now we know that 5³ =125 and 2³ = 8. Thus replacing the numerator and denominator by it we get,

  =  [tex](5^{3}) ^{2/3}/(2^{3}) ^{2/3}[/tex]

  =  5²/2²

  = 25/4

  = 6.25

Hence the value of the exponent equation is 25/4 or 6.25

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Answer: 6.8*10⁻⁴=0.00068

Step-by-step explanation:

[tex]6.8*10^{-4}=0.00068[/tex]

The value of h(2) for the function h(x) = 18 - 9x + x^4 is 16.

According to the given question.

We have a function h(x) = 18 - 9x + x^4

Here, we have to find the value of h(2). For this we will substiute x = 2 in the function h(x) = 18 - 9x + x^4.

Therefore, the value of h(2) for the function h(x) = 18 - 9x + x^4 is given by

h(x) = 18 - 9x + x^4

h(2) = 18 - 9(2) + 2^4

h(2) = 18 - 18 + 16

h(2) = 16

Hence, the value of h(2) for the function h(x) = 18 - 9x + x^4 is 16.

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The evaluation of the expression is 2, if the expression is x - y + z(x + w).

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

Given that x = 1, y = 1, w = 1, and z = 1

We have been given expression

⇒ x - y + z(x + w)

Substitute the values of x = 1, y = 1, w = 1, and z = 1 in the above expression,

⇒ 1 - 1 + 1(1 + 1)

⇒ 0 + 1(2)

⇒ 2

Hence, the evaluation of the expression is 2.

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Your question is incomplete, probably the missing part is:

Given x = 1, y = 1, w = 1, and z = 1 and this expression x - y + z(x + w): what is the evaluation of the logical expression?

The different denomination is 0.6761

The different suits are  0.1055

A standard deck of cards has four suites: hearts, clubs, spades, diamonds. Each suite has thirteen cards: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen and king. Thus the entire deck has 52 cards total.

Given:

Deck of cards= 52

Now,

There are 4 denomination in each cards

and there are 4 suits in deck of cards

a) different denominations

=52*48*44*40/(52*51*50*49)

= 0.6761

b) different suits

=52*39*26*13/ /(52*51*50*49)

= 0.1055

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The function g whose graph is a translation 3 units up from the graph of F is given as g(x) = -x+6

Given:

f(x) = -x + 3...............1

Transformation is 3 units up from the graph of F

hence,

g(x) = f(x) + 3...........2

Recall that f(x) = -x+3 Hence

Substituting f(x) in to Equation 2

We have:

g(x) = -x + 3 +3, hence
g(x) = -x + 6

Hence we  can conclude that the function g whose graph is a translation 3 units up from the graph of F is given as g(x) = -x+6.

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Answer:

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Answer:2 beacuse if u divide 4 by 2 and 6 by 2 u get 2/3

Step-by-step explanation:

Answer:

4 [tex]\sqrt{10}[/tex]

Step-by-step explanation:

Simplify

[tex]\sqrt{160}[/tex]

We can rewrite this as

[tex]\sqrt{16 * 10}[/tex]

Breaking this up

[tex]\sqrt{16} \sqrt{10}[/tex]

We know the square root of 16 is 4

4 [tex]\sqrt{10}[/tex]

sqrt(10) cannot be simplified so

Answer:

[tex]4\sqrt{10}[/tex]

Step-by-step explanation:

160 = 16 * 10

[tex]\sqrt{160} = \sqrt{16 \cdot 10} = \sqrt{16} \cdot \sqrt{10} = 4\sqrt{10}[/tex]

we cannot simplify further as 10 is 2*5, there are no more squares to simplify.

Javid will make a profit of £ 0.40 for each bottle sold.

The orange juice capacity to mango juice capacity ratio, the unit cost for each juice and the end product price. First, determine the amount of orange juice and mango juice to produce a 2-litre bottle:

Orange juice capacity

x = (3 / 10) × 2 L

x = 0.6 L

Mango juice

y = (7 / 10) × 2 L

y = 1.4 L

Second, calculate the cost of each juice by simple rule of three:

Orange juice

x' = (0.6 L / 4 L) × 6 GBP

x' = 0.90 GBP

Mango juice

y' = (1.4 L / 10 L) × 5 GBP

y' = 0.70 GBP

Third, add the two results found in the previous step and find the production cost for a 2-litre bottle:

z = x' + y'

z = 0.90 GBP + 0.70 GBP

z = 1.60 GBP

Fourth, calculate the profit by subtracting the result found in the previous step to the end product price:

z' = 2 GBP - 1.60 GBP

z' = 0.40 GBP

Javid will make a profit of £ 0.40 for each bottle sold.

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Answer:

I don't know about that and I don't understand

Answer :

The time it will take to travel a distance of 225km is t = 9 h

What is MRU?

 MRU are the acronyms that define the uniform rectilinear movement which is the movement that maintains a variation of the distance with respect to time always constant since the acceleration is null.

We will calculate the speed you have in cyclist with the initial data of traveling a distance of 125km in a time of 5 hours:

Speed = distance / time

Speed = 125km/5h

Speed = 25 km/h

We now determine a time for a 225km course

25 km/h = 225km/t

t = 225km / 25km/h

t = 9 h

Answer:

X = 6

Step-by-step explanation:

6-6X = 7X -9X -18  Combine 7x -9x

6 - 6x = -2x -18  Add 6x to both sides of the equation

6 = 4x - 18  Add 18 to both sides of the equation

24 = 4x  Divide both sides by 4

6 = x

Check:

6-6X = 7X -9X -18

6 - 6(6) = 7(6) -9(6) -18

6 - 36 = 42 - 54 -18

-30 = 1-12-18

-30 =-30

The solution set of the inequality is the set of all real numbers larger than 5, written in interval form as (5, ∞)

Here we have a simple inequality:

x - 2 > 3

To solve this we need to isolate x in one side of the inequality.

Now, remember that we can do the same operation in both sides of the inequality. So, if we add in both sides the same number, then the truth value of the inequality does not change.

Then if we add 2 in both sides of the inequality we get:

x - 2 + 2 > 3 + 2

x  > 5

Then the solution set of the inequality is the set of all real numbers larger than 5, written in interval form as (5, ∞).

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The values of a and b of the given matrix multiplication is gotten as; a = 2 and b = 3

To multiply matrix, we follow patterns depending on the type of matrix. Thus, from the given matrix, we can say that;

(1 * -1) + (0 * -1) + (1 * 3) = a

-1 + 0 + 3 = a

a = 2

Similarly;

(1 * -1) + (0 * 2) + (1 * 4) = b

-1 + 0 + 4 = b

b = 3

Thus, the values of a and b of the given matrix multiplication is gotten as; a = 2 and b = 3

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