Solve for the value of p

Answer:

x = 44.25

Step-by-step explanation:

9 + 6.6x = 7x - 8.7

    -7x       -7x

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

9 - 0.4x = -8.7

-9             -9

-0.4x = -17.7

÷-0.4   ÷-0.4

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

x = 44.25

The equation of the line in point-slope form, which passes through the pair of points located at (-4 , -3) and (2 , 7), is y + 3 = 5/3(x + 4).

The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.

The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).

Getting the slope of the two points: (-4 , -3) and (2 , 7).

m = (y2 - y1)/(x2 - x1)

m = (7 - -3)/(2 - -4)

m = 10/6

m = 5/3

Using the point slope form, plug in the values of the slope and Point A to set up the equation.

(y - y1) = m(x - x1)

where m = 5/3 and (x1 , y1) = (-4 , -3)

(y - -3) = 5/3(x - -4)

y + 3 = 5/3(x + 4)

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Answer:

the answer is D

Step-by-step explanation:

because it gives us 43 as the answer

Answer:

1/16

Step-by-step explanation:

Coin toss

probability 1/2×1/2×1/2×1/2 = 1/16

The scaled distance using the given scale factor is; 1.613 units

We are given;

Distance between Earth and the sun = 150, 000, 000 km

Now, we are given that the scale model that represents Distance between Earth and the sun is 1:93,000,000.

This means that 1 unit represents 93000000 kilometers. Thus;

The scaled distance using the given scale factor is;

150,000,000/93,000,000 = 1.613 units

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The standard deviation of this distribution is 9.65 minutes.

Due to its description in terms of the second central moment, the standard deviation naturally arises in mathematical statistics.

Any distribution with finite first two moments can have its standard deviation defined, although the most common assumption is that the underlying distribution is normal.

In the above given question it is stated that:

mean(μ) of the distribution is 45 and let us consider the standard deviation to be σ

We convert this to standard normal as

[tex]P(X < x) = P(Z < \frac{( x - \mu)} {\sigma})[/tex]

We have , P(X > 55) = 0.15  (15%)

This can be simplified as:

P(X < 55) = 1 - 0.15

P(X < 55) = 0.85

[tex]P(Z < \frac{( x - \mu)} {\sigma}) = 0.85[/tex]

From Z table, z-score for the probability of 0.85 is found out to be  1.0364 ,

therefore :

[tex]\frac{( 55 - 45)}{ \sigma }= 1.0364\\\\ \sigma = ( 55 - 45) / 1.0364 \\\\\sigma = 9.65[/tex]

Hence the standard deviation is 9.65 minutes.

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Answer:

Step-by-step explanation:

9)

x + x - 26 = 180

2x = 180 + 26

2x = 206

x = 206 : 2

x = 103

check

103 + 103 - 26 = 180

180 = 180

the answer is good

10.

2x - 40 = x + 10

x = 40 + 10

x = 50

check

2 * 50 - 40 = 50 + 10

60 = 60

the answer is good

Let c = children tickets

Let c = children tickets Let a = adult tickets

Let c = children tickets Let a = adult tickets Let c to be in place of x

Let c = children tickets Let a = adult tickets Let c to be in place of xLet a to be in place of y

Answer:

7.50c+12a<or=200 (you would have a inequality since that is the maximum number you could pay and no other information is given)

the graph is above and the inequality in slop intercept format is y= -5/8x+ 16 2/3

Solutions for c: 0 <or= c <or= 26* *(since that is the maximum whole number you can have for $200)

Solutions for a: 0 <or= a <or= 16* *(since that is the maximum whole number you can have for $200)

Note: In order for find other solutions your cordatnate has to be a whole number (that is positive or zero) within the red area shaded. However there are many examples given for answer purposes.

Step-by-step explanation:

$7.50 is the price of each children tickets and $12 is the price of each adult tickets and when combined equal to $200 so you can multiply the variables to get 7.5c+12a <or= 200.

To graph the inequality there's two ways;

Way 1: Change from standerd form to slope intercept form

Way 2: Isolate your variables to get your x and y intercept

Answer: x=14

Step-by-step explanation:

First let's find all the inner angles of the triangle.

124+DCB=180 ==> Angles DCB and 124 lie on a straight line. Straight lines measure 180 degrees and are called straight angles.

124+DCB=180

124-124+DCB=180-124

DCB=180-124

DCB=56 degrees

6x+CBD=180 ==> straight angle

2x+CBD+56=180 ==> total degrees of a triangle is 180 degrees

6x+CBD=2x+CBD+56 ==> they both equal 180

6x+CBD-CBD=2x+CBD-CBD+56

6x=2x+56

6x-2x=2x-2x+56

4x=56

4x/4=56/4

x=14

Answer:

Step-by-step explanation:

Rearrange terms -7x+4=4x-128 subtract 4 from both sides. Simplify . subtract 4x from both sides. simplify. divide both sides by the same factor. simplify. Solution x=12

Answer:

Step-by-step explanation:

(y2-y1)/(x2-x1)

(0-d)/(0-c)

-d/-c

d/c

Answer:

-440

Step-by-step explanation:

Simplify

2(-4)^2+(-4)^3+24-18(-12)2

2(16)+(-64)+24-432

32-64+24-432

-440

Simplify each rational expression. State any restrictions on the variable.

[tex]\frac{c^{2}-8c+12 }{c^{2}-11c+30 }=\frac{(c-2)}{(c-5)}[/tex]

How the rational expression is simplified?

[tex]\frac{c^{2}-8c+12 }{c^{2}-11c+30 }\\\\= > \frac{(c-2)(c-6)}{(c-5)(c-6)} \\= > \frac{(c-2)}{(c-5)}[/tex]

What are the restrictions on the variable ?

If c= 5 , the denominator becomes,

[tex]c^{2} -11c+30[/tex]  =25-55+30=0

⇒   [tex]\frac{c^{2}-8c+12 }{c^{2}-11c+30 }=\infty[/tex]

If c= 6 ,the denominator becomes,

[tex]c^{2} -11c+30[/tex] = 36- 66+30=0

⇒   [tex]\frac{c^{2}-8c+12 }{c^{2}-11c+30 }=\infty[/tex]

So, the restrictions on the variable are:  c≠ 5,6

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The difference is 9.

A difference is a result of subtracting two numbers.

It speaks of the difference in quantity between two numbers.

Given,

-16-(-25)

Solution:

Since (-) + (-) = +

-16-(-25) = -16 + 25

              = 9

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A simplified expression for the amount, in dollars, that the company is paid is $3,500+273d.

Given that, a company rents out 14 food booths and 21 game booths at the county fair. The fee for a food booth is $175 plus $9 per day. The fee for a game booth is $50 plus $8 per day.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given, the fair lasts for d days, and all the booths are rented for the entire time.

So, Food Booth Fee can be calculated as follows:

14(175+9d)

=2,450+126d

Game Booth Fee can be calculated as follows:

=21(50+8d)

=1050+168d

So, the total Food and Game Booth Fees:

=2,450+126d+1050+168d

=3,500+273d

Therefore, a simplified expression for the amount, in dollars, that the company is paid is $3,500+273d.

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The explicit formula is [tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]

For the Geometric sequence, the explicit formula for the nth term is

  [tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]

Where,

  a = first number of the series

  r = common ratio

 n = number of series

 [tex]a_{1}[/tex] = a

 [tex]a_{2}[/tex] = ar

 [tex]a_{3}[/tex] = a [tex]r^{2}[/tex]

.....

Therefore the series is a, ar, a[tex]r^{2}[/tex], a[tex]r^{3}[/tex],,,,.....

Here we have the series 25, 5, 1, 1/5

Here common ratio = 1/5

and if we want to find the 5th term the formula is

[tex]a_{5}[/tex] = 25 ×[tex](\frac{1}{5} )^{4}[/tex]

    = [tex]\frac{1}{25}[/tex]

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Step-by-step explanation:

4.

[tex] = \frac{5ab}{ {a}^{2} - {b}^{2} } - \frac{a - b}{a + b} [/tex]

[tex] = \frac{5ab}{ {a}^{2} - {b}^{2} } - \frac{(a - b)(a - b)}{ {a}^{2} - {b}^{2} } [/tex]

[tex] = \frac{5ab}{ {a}^{2} - {b}^{2} } - \frac{ {a}^{2} - 2ab + {b}^{2} }{ {a}^{2} - {b}^{2} } [/tex]

[tex] = \frac{5ab - ( {a}^{2} - 2ab + {b}^{2} ) }{ {a}^{2} - {b}^{2} } [/tex]

[tex] = \frac{5ab - {a}^{2} + 2ab - {b}^{2} }{ {a}^{2} - {b}^{2} } [/tex]

[tex] = \frac{7ab - {a}^{2} - {b}^{2} }{ {a}^{2} - {b}^{2} } [/tex]

[tex] \: [/tex]

5.

[tex] = \frac{5}{n + 5} + \frac{4n}{2n + 6} [/tex]

[tex] = \frac{5}{n + 5} + \frac{4n}{2(n + 3)} [/tex]

[tex] = \frac{5}{n + 5} + \frac{2n}{n + 3} [/tex]

[tex] = \frac{5(n + 3) + 2(n + 5)}{ {n}^{2} + 8n + 15 } [/tex]

[tex] = \frac{5n + 15 + 2n + 10}{ {n}^{2} + 8n + 15} [/tex]

[tex] = \frac{7n + 25}{ {n}^{2} + 8n + 15} [/tex]

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's solve these problems ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{5ab}{ {a}^{2} - {b}^{2} } - \dfrac{a - b}{a + b} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{5ab}{ (a + b)(a - b) } - \dfrac{a - b}{a + b} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{5ab - (a - b)(a - b)}{ (a + b)(a - b) } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{5ab - (a - b) {}^{2} }{ {a}^{2} - b {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{5ab - (a {}^{2} - 2ab + {b}^{2} ) {}^{} }{ {a}^{2} - b {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{5ab - a {}^{2} + 2ab - {b}^{2} {}^{} }{ {a}^{2} - b {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{7ab - a {}^{2} - {b}^{2} {}^{} }{ {a}^{2} - b {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{5}{n + 5} + \dfrac{4n}{2n + 6} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{5(2n + 6) + 4n(n + 5)}{(2n + 6)(n + 5)} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{10n +30 + 4n {}^{2} + 20n}{2n {}^{2} + 10n + 6n +30} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{4n {}^{2} + 30n + 30}{2n {}^{2} + 16n + 30} [/tex]

[ taking 2 common out ]

[tex]{ \qquad \sf  \dashrightarrow \: \dfrac{2n {}^{2} + 15n + 15}{n {}^{2} + 8n + 15}} [/tex]

From the values that we have the magnitude of the value of the stock A would be given as 4.15. Option A is correct.

This is the term that is sued to refer to how far the run of a particular stock is in terms of its price. In order to get the magnitude, we would have to find the absolute value of the stock A as we have it here.

Remember the absolute value would have to change the value to be positive if it was negative.

Hence we would have

I-4.15I = 4.15

Hence the solution is 4.15

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Answer:

Added all up, they will form 180 degrees aka a straight line.

Step-by-step explanation:

To find S, just add 45 + 80. We get 125. Then, subtract 125 from 180!

S = 55 :)

Answer:

1 granola bar =

Step-by-step explanation:

10 granola bars= $4.00 x 2 = $8.00

15 granola bars=$4.00 x 3 = $12.00

20 granola bars=$4.00 x 4 = $16.00

1 granola bar = $0.80p

Answer:

D

Step-by-step explanation:

X and y come together at (0,0) right?

Answer:

[tex]x = \frac{64}{3} [/tex]

Step-by-step explanation:

Based on the given conditions:

[tex] \frac{x}{32} = \frac{12}{12 + 6} ⟹ \frac{x}{32} = \frac{12}{18} [/tex]

Cross multiply the above

[tex]18x = 384 [/tex]

Divide both sides by 18 to find the value of x

[tex]x = \frac{384}{18} [/tex]

Therefore:

[tex]x = \frac{64}{3} [/tex]

The correct option is On a coordinate plane, a cosine function has a maximum of 4 and minimum of negative 4. It completes one period at pi.

The maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position.

Given:

function with amplitude 4 and period π.

also, The period of a wave is the time for a particle on a medium to make one complete vibrational cycle.

so, the amplitude 4 means function has a maximum of 4 and minimum of negative 4.

Hence, On a coordinate plane, a cosine function has a maximum of 4 and minimum of negative 4. It completes one period at pi.

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Answer:

D

Step-by-step explanation:

just took it

The recipe of flour and sugar can be given as an example where we will get the ratio as 4 : 1.

The example is with flour and sugar

Let

x = the number of cups of flour

y =  the number of cups of sugar

We know that:

Ratio means the comparison between the two values.

Ratio = x / y

Now, we can let

x = 1 / 2 cups of flour

y = 1 / 8 cups of sugar

Ratio will be

= 1 / 2 : 1 / 8

= 8 : 2

= 4 : 1

Therefore, the recipe of flour and sugar can be given as an example where we will get the ratio as 4 : 1.

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Step-by-step explanation:

Have you understand? please notify when you don't understand

The car's velocity after 15 seconds is 60.3 m/s.

The linear regression equation obtained by fitting the data using technology is:

The approximate velocity at time = 0 and x = 0 is as follows:

After 15 seconds, the velocity is:

Therefore, the car's velocity after 15 seconds is 60.3 m/s.

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Answer:

2 line is the answer to the questions