A roll of gasket material is 16 in wide. What length is needed to obtain 21 sq ft of the material? the answer has to be as a mixed number

A linear equation that models the price-sales relationship for this toy is   y = -500x + 5000

In this question, we need to find a linear equation that models the price-sales relationship for this toy.

We have been given that the line passes through (6, 2000) and (8, 1000)

Using the formula for the two-point form of equation of line,

(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)

(y - 2000)/(1000 - 2000) = (x - 6)/(8 - 6)

(y - 2000)/(-1000) = (x - 6)/2

2(y - 2000) = -1000(x - 6)

y - 2000 = -500(x - 6)

y = -500x + 3000 + 2000

y = -500x + 5000

Therefore, a linear equation that models the price-sales relationship for this toy is y = -500x + 5000

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The total average decrease in the stock after 6 weeks is represented by 6|−17| = 102 dollars.

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The image of vertex L after the triangle is rotated 180 degrees about the origin= (-2, -1).

Option B.

First let's stae the the original location of the figure on the graph.

From the graph:

L (2, 1)

W(1, -3)

O (-1, -2)

A rotation of 180 degrees about the origin will change the x and y axis of each location to the opposite of those numbers;

Positive numbers becomes negative and negative numbers becomes positive.

The new location for L = L'

L' = (-2, -1)

The new location for W = W'

W' = (-1, 3)

The new location for O = O'

O' = (1, 2)

Hence, the image of vertex L after the triangle is rotated 180 degrees about the origin= (-2, -1).

Option B.

Given:

Above equation is the slope intercept form.

Answer:  My friend could rewrite the fraction as a percent and compare that to the given percent. This is a good strategy if the denominator is `5`, `10`, `20`, or `50`. She could also turn the percent into a fraction by writing the percent over `100`. This is a good strategy if the new fraction can be simplified to have a common denominator with the original fraction.

Step-by-step explanation: BOOM I'M A PRO  

I got you

From the problem :

We can rewrite the expression as multiplication :

The answer is C -r/3

the 2 angles are equal so both are 148

Looking at the given histogram

we have that

120-110=10

130-120=10

140-130=10

150-140=10

160-150=10

170-160=10

180-170=10

therefore

The class width is 10 lbs

First-class is 110-120 lbs

lower-class limit=110

upper class limit=120

Percent of the scores are less than​ 19 is  45.4%.

591 many would be expected to be greater than​ 21.

A data set with a normal distribution has the majority of its values clustered in the middle of the range, while the remainder taper off symmetrically toward either extreme.

(a) μ = 19.6, σ = 5.2

First, find the z-score.

z = (x − μ) / σ

z = (19 − 19.6) / 5.2

z = -0.115

To calculate the probability, use a chart or calculator.

P(Z < -0.115) = 0.454

45.4 % of the scores are under 19.

(b) First, find the z-score.

z = (x − μ) / σ

z = (21 − 19.6) / 5.2

z = 0.269

To calculate the probability, use a chart or calculator.

P(Z > 0.269) = 1 − P(Z < 0.269)

P(Z > 0.269) = 1 − 0.606

P(Z > 0.269) = 0.394

Among the scores, 39.4% are higher than 21.  

There are 1500 scores, therefore 591 represent 39.4% of those.

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Given the function;

y = x/2 + 1

x is the input value

y is the output value

If x = 2

y = 2/2 + 1

y = 1 + 1

y = 2

when x = 4

y = 4/2 + 1

y = 2 + 1

y = 3

when x = 7

y = 7/2 + 1

y = 3.5 + 1

y = 4.5

when x = 9

y = 9/2 + 1

y = 4.5 + 1

y = 5.5

1. the sequence is:

500, 250, 125, ...

the common ratio (r) is:

250/500 = 1/2 = 0.5

125/250 = 1/2 = 0.5

So, the sequence is a geometric sequence.

Explicit formula:

Recursive formula:

2. In the formulas, n represents days. Using the explicit formula with an = 1, we get:

then, after 10 days there will be less than 1 skittle in the bag

If one triangle is the dilation of the other triangle, then they are similar

The addition of the angles in a triangle is equal to 180°

Triangle XYZ has angles measuring 53° and 23º, then the third angle measure:

53° + 23° + x = 180°

x = 180° - 53° - 23°

x = 104

AA similarity postulate states that If two angles in one triangle are congruent to two angles in another triangle, the two triangles are similar

In this case, the two triangles have only one angle in common, then the AA postulate is not satisfied, and the triangles are not similar nor dilated.

Triangle X'Y'Z' is not a dilation of Triangle XYZ. The ratios of the lengths of the corresponding sides are not equal because the triangles do not have three pairs of congruent angles.

Given:

75 people to 25 people

To find:

The percentage value.

Explanation:

The percentage is,

Hence, the percentage is 300%.

Final answer:

The percent value is 300%

Answer: y = 5/4x - 13

Step-by-step explanation:

m = 5/4

y = mx + b

substitute the coordinate into the equation to find b

-3 = 5/4(8) + b

b= -13

The equation for the conditions given in the question can be written as: W = 600 + (26)I and the total amount of water after 19 minute is 1094.

What is an equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.

As given in the question,

The amount of the water at the beginning is 600 liters.

And the rate of water being added is 26 liters per minute.

Let I be the number of minutes. So, the amount of water added in I minute is 26I.

Adding the initial amount and the amount of water after I minute. We get the equation as:

W = 600 + (26)I

Here, W represents the total amount of water in the pond.

Putting the value of I as 19 in the above equation.

W = 600 + (26)(19)

W = 600 + 494

W = 1094

Hence, the total amount of water after 19 minute is 1094 liters.

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Percentage increase in the price of scooter = 129.3%

The word "percentage" refers to a figure that is stated as a percentage of 100, a relative value that denotes hundredths of any amount. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

For example 2% means [tex]\frac{2}{100}[/tex]. Here 2 is expressed as a fraction of 100.

Cost price of scooter = $40.99

Selling price of scooter = $94

Increase in price of the scooter = $(94 - 40.99)

                                                    = $53.01

Percentage increase in the price of scooter = [tex]\frac{53.01}{40.99}\times 100[/tex]

                                  = 129.3%

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Answer:

A

Step-by-step explanation:

Corresponding sides of similar figures have proportional side lengths.

The value of d in the equation is d= 4m-w

The first step is to write out the equation given

m=1/4(w+d)

The value of d can be calculated as follows

m= w + d/4

Cross multiply both sides

4m= w + d

collect the like terms

4m -w= d

d= 4m-w

Hence the value of d in the equation is 4m-w

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Step-by-step explanation:

x=-5 f(x)=4x

f(x)=4(-5)

f(x)=-20

x=3 f(x)=4(3)

f(x)=12

Answer:y = 12x + 7

Step-by-step explanation:

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

[tex]7x+9y=5y-6\implies 7x+4y=-6\implies 4y=-7x-6 \\\\\\ y=\cfrac{-7x-6}{4}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{7}{4}}x-\cfrac{3}{2}\qquad \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{-7}{4}} ~\hfill \stackrel{reciprocal}{\cfrac{4}{-7}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{4}{-7}\implies \cfrac{4}{7}}}[/tex]

so we're really looking for the equation oif a line whose slope is 4/7 and it passes through the point (-8 , -6)

[tex](\stackrel{x_1}{-8}~,~\stackrel{y_1}{-6})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{4}{7} \\\\\\ \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}{(-6)}=\stackrel{m}{ \cfrac{4}{7}}(x-\stackrel{x_1}{(-8)}) \implies y +6= \cfrac{4}{7} (x +8) \\\\\\ y+6=\cfrac{4}{7}x+\cfrac{32}{7}\implies y=\cfrac{4}{7}x+\cfrac{32}{7}-6\implies {\Large \begin{array}{llll} y=\cfrac{4}{7}x-\cfrac{10}{7} \end{array}}[/tex]

Answer:

P(J∩M) = 0.027

Explanation:

Let's call J the event that a selected person aged 20 years or older is a jogger and M the event that a selected person aged 20 years or older is male.

Then, the probability P(J∩M) that a randomly selected person aged 20

years or older is male and jogs can be calculated as:

P(J∩M) = P(J) * P(M|J)

Where P(J) is the probability that a selected person aged 20 years or older is a jogger and P(M|J) is the probability that hat a selected person aged 20 years or older is male given that he or she jogs.

So, replacing P(J) by 26.2% and P(M|J) by 10.2%, we get:

P(J∩M) = 0.262 * 0.102

P(J∩M) = 0.027

P(J∩M) = 2.7%

Therefore, the probability that a randomly selected person aged 20 years or older is male and jogs is 0.027

The factors of the given polynomial are (x² +6) (x +1) =0.

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x² + 4x + 7 is an illustration of a polynomial with a single indeterminate x. An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable). A sizable subset of algebraic expressions are polynomials. Polynomials are any expressions where the powers of the variables are all whole numbers. They frequently have a wide range of applications since they encompass such a sizable portion of all algebraic expressions.

Given Data

Polynomial

x ³+ x²+6x +6

Factorizing,

x²(x +1) + 6(x+1) =0

(x² +6) (x +1) =0

Option C) is correct.

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The decrease on the value of stock is found to be 80 dollars and the second option is correct option

The decrease on value of stock refers to reduction from the original value of the stock.

From the question we have that:

value of a stock decreases by an average of 10 dollars each week

This means that each week 10 dollars is subtracted from the value of the stock

if the stock reduces 10 dollars every week this is written mathematically as

1 week = 10 dollars

8 weeks = ?

cross multiplying gives

1 week * ? = 8 weeks *  10 dollars

? = 80 dollars

The unknown variable represented as ? is calculated to be 80 dollars

Hence multiplying the number of weeks by the amount reduced per week gives the decrease in stock and option b has modulus of 10 and the correct option

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Answer:

[tex] 17\frac{1}{2} [/tex]

Step-by-step explanation:

Explanation in the photo.

We are given a graph of the height of a falcon with respect to time. The x-intercept of the graph represents the height of the falcon when x = 0, that is, the initial height. since the graph shows that the x-intercept is 8, this means that the falcon starts 8 feet in the air.

Answer:

4x-9=3x+8

17

Step-by-step explanation:

Answer:

Step-by-step explanation:

The area of a trapezoid is A=(a+b/2)*h

So if you plug in what you know
3/4x-1/4 = (a+b/2)h

You would need the height but if you do have the height you can plug that in then just add a and b together as one variable so you can make a pair that equals that.

Answer:

3029

Step-by-step explanation:

Answer: The logical symbol for that sentence isV