Fun times Amusement Park Charges a $7 admission fee plus $1.75 per ride. What is the equation, in intercept form for calculating the total cost, C, of going to the park and riding r rides?1. C = 1.75 + 7r2. C = 1.75r3. C = 7r4. C = 7 + 1.75r

The given statement "Sal earns $480 per week. Lidia earns $300 per week. Are their salaries proportional if Sal works 40 hours per week and Lidia works 25 hours per week" is true.

As given in the question,

If one amount is proportional to another, the two amounts increase and decrease at the same rate so there is always the same relationship between them

a:b = c:d

a ÷b = c ÷d

ad = bc

let Sal earns $480 per week and he works 40hours per week

  480÷40 = 12

Lidia earn $300 per week and she works 25 hours per week

   300÷25 = 12

Cross product of their salaries is  

480×25=1200

300×40=1200

The ratio of their salaries and their product are equal.

Hence, The given statement "Sal earns $480 per week. Lidia earns $300 per week. Are their salaries proportional if Sal works 40 hours per week and Lidia works 25 hours per week" is true

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We have to indicate the steps to follow in order to evaluate:

(12.9-3.1) x 6.2-2 + 43

So FIRST: we solve for the operation indicated inside the parenthesis

12.9 - 3.1 = 9.8 (we subtract 3.1 from 12.9)

This is the answer you need to select.

By applying the law of reflection to the ray of sunlight, the value of x is equal to 5.

The law of reflection is a theorem which states that the magnitude of the angle of incidence is equal to the magnitude of the angle of reflection when a ray of light is reflected off a surface such as a plane mirror.

Mathematically, law of reflection can be represented or modelled by this mathematical expression:

sinθi = sinθr

Where:

By applying the law of reflection to the ray of sunlight (see attachment), we have the following equation:

(3x - 10)° = (2x + 5)°

3x + 2x = 10 + 5

5x = 15

x = 15/3

x = 5.

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Given data:

The given ratio is 9:27.

The given ratio can be written as,

Thus, the given ratio can be written as 1:3 so, second option is correct.

In order to calculate the total spending in the town each year, first, multiply by the 70% that is spent within the town,

Also, multiply by 70% of the amount people will spend after they receive it in town,

Answer:

The total spending in the town each year is $1,960,000

the width of the wall is 21 3/8 = 171/8

the width of a tile is 4 1/2 = 9/2

so the number of tiles is

(171/8) / (9/2) = 171x2 / (9 x8) = 4.75

so the no of tiles needed is 5.

By solving inequality, we can conclude that the artist will not make a profit if he sells 15 necklaces.

So, is the artist in profit if he sells 15 necklaces:

Inequality is 12n ≥ 170 +3.50n: (let n = 15)

Therefore, by solving inequality, we can conclude that the artist will not make a profit if he sells 15 necklaces.

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The correct question is given below:
A jewelry artist is selling necklaces at an art fair. It costs $170 to rent a booth at the fair. The cost of materials for each necklace is $3.50. The artist is selling the necklaces at $12 each. The inequality 12n> 170 +3.50n represents the situation in which the artist makes a profit. Will the artist make a profit if he sells 15 necklaces? Show how you know.

Answer:

[tex]\displaystyle y = \frac{-2}{7}[/tex]

Step-by-step explanation:

   To solve, we will isolate the variable.

   Given:

-12/7 = 6y

   Divide:

[tex]\displaystyle \frac{\frac{-12}{7} }{6} =\frac{6y}{6}[/tex]

   Simplify the right side:

[tex]\displaystyle \frac{\frac{-12}{7} }{6} =y[/tex]

   "Keep, change, flip" on the left side:

[tex]\displaystyle \frac{-12}{7} *\frac{1}{6} = y[/tex]

   Multiply:

[tex]\displaystyle \frac{-12*1}{7*6}= y[/tex]

[tex]\displaystyle \frac{-12}{42}= y[/tex]

   Simplify and reflexive property:

[tex]\displaystyle y = \frac{-2}{7}[/tex]

Exponential decay formula:

y is the number of tickets sold at t years

a is the initial number of tickets sold

r is the rate of drop (in decimal form)

t is the time in years

8 years from now:

To simplify a phrase, create an equivalent expression without any terms that are identical.The expression will then be rewritten using the fewest terms feasible.

What is an equation to simplify?

      2+1

    =   3

    2³  = 8

    first one 8

   2.  x²× x°

   = x ²+°

   3.a6_a4

  = a2

 4.   x×x×y×y

   =x²y²

  5 x²×x×y×y²

 =   x³y³

  6.(mn)5

=  m5N5

 7 (abc)²

 = a²b²c²

 8.(p²q)³

 p6q3

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SOLUTION

To get how many more stickers were shipped last month than this month, we simply subtract this month's shipment from last month's shipment.

This becomes

Therefore, the we have 1,000,000,000 to the nearest billion.

Option D is the correct answer

Answer: The slope is -0.7, the rise is -1.4, and the run is 2

SOLUTION

We want to find which of the following values make the inequality

x ≤ 16.3 to be true.

This inequality means that x is equal to 16.3 or less than 16.3. So the numbers that fall under this are numbers smaller than 16.3 and also 16.3.

The numbers that fall under here are 8, 1/4, -3 and 16.3

Hence the answer b, c, e and f

Normal time taken for operation = 7.7

Charlene's work performance is faster than normal time.

Need to define Charlene's average time:

8.4 + 8.6 + 8.3 + 8.5 + 8.7 + 8.5)/6

Avg time taken= 8.5.

Performance rating = 110/100 = 1.1

normal time taken:  8.5/1.1

normal time taken= 7.7

hence, 8.5 [tex]\geq[/tex] 7.7

Charlene is faster than normal time.

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Given (x+ c) is a common factor of (x^2- ax- b )and (2x^2+b)

x= -c is a root of x^2- ax- b= 0 and x^2+ b= 0

Concept used

Quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

-b±√b²-4ac/2a

i) 1- 2a+b= 0

ii) 4+ b^b- 2a= 0

4- 2a+b=0,4+ b- 2a= 0

2a+b= 2c+d

2(c−a)= b−d

(c−a)/ (b−d)​= 2

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corresponding (option D)

Since the lines are parallel and a tranversal line cuts the two lines:

The angle 2 at the top of the first line correspods to angle 6 at the top of the second line.

Angle 2 and angle 6 are equal.

Hence. we say angle 2 and angle 6 are corresponding angles (option D)

Answer: He is not correct because when simplifying an expression, you can only add like terms together.  

Step-by-step explanation:

you are given the expression: x^2 + 4x - 2x

when simplifying an expression, you can only add/subtract like terms (terms that have the same variable which are raised to the same power).

in the expression, you can only subtract 4x - 2x because they have like terms/the same variable.

you cannot add x^2 to 4x because x^2 and x are NOT like terms/the same variable. (If 4x was 4x^2, then you would be able to add them together.

meaning the simplified expression should be: x^2 + 2x and not 3x^2

Using the formula for the area of a rectangle is, A = l×w where l represents the length of the rectangle and w represents its width, the area of a rectangle with the length of 3.5 centimeters and a width of 2.2 centimeters will be  7.7 cm^2.

The area of the rectangle can be calculated using the formula,

(A = l×w )

and the  l = the length of the rectangle

w = represents the width of the rectangle

Then to calculate the area of the rectangle, we can substitute the values that is been given as :

(A = l×w )

A = (2.2 * 3.5) = 7.7 cm^2

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Answer:

7.7

Step-by-step explanation:

The answer was already in the question... He must've edited it or somethin'

Answer:

12 months

Explanation:

Given the function that models the total chacrge of a company as T = 35.00 + 18.75m where;

T is the total charges,

m is the number of months of storage

Given

T = $260.00

we are to find the value of m

Substitute

260 = 35 + 18.75m

18.75m = 260 - 35

18.75m = 225

m = 225/18.75

m = 12

Hence it will take 12 months to cost a new custimer $260.00

Take into account that the slope of a line is given by the following formula:

where (x1,y1) and (x2,y2) are two points on the line.

In this case:

(x1,y1) = (p,3)

(x2,y2) = (6,p)

By replacing the previous values into the formula for m, we get:

Now, by making m = 2 and solving for p, we obtain:

Hence, the value of p is p = 5

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

How to calculate the probability distribution's mean: Steps

A specific genetic mutation affects 4% of the population. 300 persons are chosen at random. Find the standard deviation for the proportion of the 300 groups who have the genetic mutation.

Standard deviation is calculated as follows: 0.04 * 0.93/300 * sqrt(p*(1-p)/n) (0.000124).

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We know that specific products multiply specific kinds of binomials, so these binomials will be the product's factors.

Example:

So, we know that special products are multiplying special types of binomials which means that these binomials will be the factors of the product.

For example:

Therefore, we know that specific products multiply specific kinds of binomials, so these binomials will be the product's factors.

Example:

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Given:

Initially, the cell phone was 80% charged.

Then started to lose 8% charge for each hour thereafter.

To find:

The equation for B in terms t

The slope of the line through the points (6,5) and (4, 10) exists -5/2.

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by Δy and Δx, respectively. where "m" represents a line's slope. So, the slope of a line is tan.

Determine the coordinates of two points along the line that you choose. Find the difference between these two points' y-coordinates (rise). Find the difference between these two points' x-coordinates (run). Divide the difference in x-coordinates (rise/run or slope) by the difference in y-coordinates.

Let the two points are (6, 5) and (4, 10)

(x1, y1) = (6, 5) and (x2, y2) = (4, 10)

The equation of slope of the line through the points (x1, y1) and (x2, y2) = y2 - y1 / x2 - x1

substitute the values in the above equation, and we get

= 10 - 5 / 4 - 6

= 5 / -2

Therefore, the slope of the line through the points (6,5) and (4, 10) exists -5/2.

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A confidence interval exists "a range of values that's likely to contain a population value with a certain degree of confidence.

In case the 95 % confidence interval would be given by

[tex]$0.582 \leq \mu_1-\mu_2 \leq 3.178$[/tex]

A confidence interval exists "a range of values that's likely to contain a population value with a certain degree of confidence. It exists often denoted a % whereby a population means lies between an upper and lower interval".

The margin of error exists the range of values below and above the sample statistic in a confidence interval.

Normal distribution, exists a "probability distribution that exist symmetric about the mean, showing that data near the mean exists more frequent in occurrence than data far from the mean".

[tex]$\bar{X}_1=5.84$[/tex] represent the sample mean 1

[tex]$\bar{X}_2=3.96$[/tex] represent the sample mean 2

n 1 = 25 represent the sample 1 size

n 2 = 25 represent the sample 2 size

[tex]$s_1=2.211334$[/tex] sample standard deviation for sample 1

[tex]$s_2=2.35372$[/tex] sample standard deviation for sample 2

[tex]$\mu_1-\mu_2$[/tex] parameter of interest.

The confidence interval for the difference of means exists given by the following formula:

[tex]$\left(\bar{X}_1-\bar{X}_2\right) \pm t_{\alpha / 2} \sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}} \text \dots{ (1) }$$[/tex]

The point of estimate for [tex]$\mu_1-\mu_2$[/tex] exists just given by:

[tex]$\bar{X}_1-\bar{X}_2=5.84-3.96=1.88$$[/tex]

In order to estimate the critical value [tex]$t_{\alpha / 2}$[/tex] we require to estimate first the degrees of freedom, given by:

[tex]$d f=n_1+n_2-1=25+25-2=48$$[/tex]

Since the Confidence is 0.95 or 95 %, the value of [tex]$\alpha=0.05$[/tex]and α 2 = 0.025, and we can utilize excel, a calculator or a table to estimate the critical value. The excel command would be: " = -T.INV (0.025, 48) ". And we see that [tex]$t_{\alpha / 2}=2.01$[/tex]

In order to replace into formula (1), we get

[tex]$1.88-2.01 \sqrt{\frac{2.211334^2}{25}+\frac{2.35372^2}{25}}=0.582$[/tex]

[tex]$1.88+2.01 \sqrt{\frac{2.211334^2}{25}+\frac{2.35372^2}{25}}=3.178$[/tex]

In case the 95 % confidence interval would be given by

[tex]$0.582 \leq \mu_1-\mu_2 \leq 3.178$[/tex]

Because all the values for the confidence interval are higher than 0, we may infer that there are significant differences between the means of the two groups in this case, with the mean for group 1 (Medicine) being considerably higher than the mean for group 2 (Placebo) at 5% of significance.

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The three equations that will emerge from the given matrix will be:

So, the equations for the given matrix will be:

[0. 2. 3. / 4]

[8 -1 -2  / 5 |

[2. 0. 1  / 9 ​]

Now, the equation will be:

Therefore, the three equations that will emerge from the given matrix will be:

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The expression that represents the perimeter and area of the rectangle are 10x + 4 and 6x²- 24.

The rectangle is a quadrilateral with opposite sides equal to each other.

Opposite sides of a rectangle is also parallel to each other.

Therefore,

perimeter of a rectangle = 2(l + w)

where

Therefore,

l = 3x + 6

w = 2x - 4

Hence,

perimeter of a rectangle = 2(3x + 6 + 2x - 4)

perimeter of a rectangle = 2(5x + 2)

perimeter of a rectangle = 10x + 4

Let's find the expression that represent the area of the rectangle.

Hence,

area of a rectangle = lw

area of a rectangle = (3x + 6)(2x - 4)

area of a rectangle = 6x² - 12x + 12x - 24

Therefore,

area of a rectangle = 6x²- 24

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Answer: [tex]f^{-1}(x)=-\frac{1}{9}(x+10)[/tex]

Step-by-step explanation:

[tex]f(x)=-9x-10 \implies x=-9f^{-1}(x)-10\\\\x+10=-9f^{-1}(x)\\\\f^{-1}(x)=-\frac{1}{9}(x+10)[/tex]