Pattern A Step 0 Step 1 pattern A or pattern B) shows a quadratic relationship?Step 2 Step 3 8 Pattern B Step 0 Step 1 Step 2 Step 3 2 a. How many dots will there be in Step 4 of each pattern? Pattern A = 16 dots Pattern B = 16 dots b. Which pattern (

Answer:

5.  $40

6.  500 students

7.  60 books

8.  63 pages

Step-by-step explanation:

Given:

Let x be the money Aiden brought on the trip.

Create equivalent ratios with the given information and defined variable, and solve for x:

[tex]\implies 18:45\%=x:100\%[/tex]

[tex]\implies 18:0.45=x:1[/tex]

[tex]\implies \dfrac{18}{0.45}=\dfrac{x}{1}[/tex]

[tex]\implies 18=0.45x[/tex]

[tex]\implies x=\dfrac{18}{0.45}[/tex]

[tex]\implies 40[/tex]

Therefore, Aiden brought $40 on the trip.

Given:

Let x be the number of students who voted in the election.

Create equivalent ratios with the given information and defined variable, and solve for x:

[tex]\implies 300:60\%=x:100\%[/tex]

[tex]\implies 300:0.6=x:1[/tex]

[tex]\implies \dfrac{300}{0.6}=\dfrac{x}{1}[/tex]

[tex]\implies 300=0.6x[/tex]

[tex]\implies x=\dfrac{300}{0.6}[/tex]

[tex]\implies x = 500[/tex]

Therefore, there were 500 students who voted in the election.

Given:

Let x be the number of books in the sale.

Create equivalent ratios with the given information and defined variable, and solve for x:

[tex]\implies 80\%:48=100\%:x[/tex]

[tex]\implies 0.8:48=1:x[/tex]

[tex]\implies \dfrac{0.8}{48}=\dfrac{1}{x}[/tex]

[tex]\implies 0.8x=48[/tex]

[tex]\implies x=\dfrac{48}{0.8}[/tex]

[tex]\implies x=60[/tex]

Therefore, there were 60 books in the book sale.

Given:

If she has completed 70% of the book, then she still has 30% left to read, as 100% - 70% = 30%.

Let x be the number of pages Aiyana still has to read.

Create equivalent ratios with the given information and defined variable, and solve for x:

[tex]\implies 70\%:147=30\%:x[/tex]

[tex]\implies 0.7:147=0.3:x[/tex]

[tex]\implies \dfrac{0.7}{147}=\dfrac{0.3}{x}[/tex]

[tex]\implies 0.7x=44.1[/tex]

[tex]\implies x=\dfrac{44.1}{0.7}[/tex]

[tex]\implies x=63[/tex]

Therefore, Aiyana still has 63 pages left to read.

The Solution:

Given:

Required:

Find the value of the investment after 5 years.

The Formula:

In this case,

Substitute:

Answer:

(a) $79,747.14

Find the number of months it will take the account to increase to more than $70,000

Solve for n in the equation below:

Answer:

13 months or more

The value of side length x is equal 6.05 in

The perimeter of a square is given as the sum of the total sides in the square or 4 multiplied by the side length of the square since they all have equal sides.

Mathematically, this can be written as

[tex]P = 4 *L\\P = 4l\\[/tex]

In this given question, the side length is equal to x and the perimeter of the square is given as 24.2in.

Let's substitute the values

[tex]P = 4L\\24.2 = 4L\\but l = x\\24.2 = 4x\\x = 6.05in[/tex]

The side length of the square is equal to 6.05in

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complete question

Write and solve an equation to find the unknown side length x (in inches).

Perimeter =24.2 in. assuming the figure is a square

The three numbers given in the question : 21 , 72 and 62 do not have any common factor.

The common factors are those that are found in both lists

Example: Factors of 12 and 30

Factors of 12 are 1, 2, 3, 4, 6 and 12

Factors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30

Thus common factor = 1, 2, 3, 6

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

Given numbers : 21,72 and 62

Factors of 21 = 3 and 7

Factors of 72 = 2 and 3

Factors of 62 are 2 and 31

Thus these three numbers do not have any common factor.

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First, we want to find the probability of having a costumer who choose Turkey sanwich.

In order to find it, we calculate the ratio of turkey sandwiches over the total number of orders.

Turkey sandwiches: 180

Total number of orders: 160 + 100 + 180 + 60 = 500

Ratio = turkey / total

Ratio = 180 / 500 = 0.36

Then, the probability of having a costumer who choose Turkey sanwich is

P(T) = 0.36 = 36%

Secondly, in order to find the 36% of 50, we just multiply 0.36 by 50:

we have the equation

y=-4x+4

step 1

Find the x-intercept (value of x when the value of y is zero)

so

For y=0

0=-4x+4

4x=4

x=4/4

x=1

step 2

Find the y-intercept (value of y when the value of x is zero)

so

For x=0

y=-4(0)+4

y=4

Equation of the line is y = [tex]\frac{-36x}{13}[/tex] + [tex]\frac{687}{13}[/tex].

An intercept in mathematics is a location on the y-axis through which the line's slope passes. It is a place on the y-axis where a straight line or a curve crosses. This is reflected in the equation for a line, which is written as y = mx+ c, where m denotes slope and c denotes the y-intercept. A line's equation written using a single point on the line and the line's slope is referred to as the point-slope form. The slope is the rise over run, or the ratio of the change in the y values over the change in the x values, and the point form is denoted as (x, y).

Given Data

f(3) = 18

f(16) = -18

Slope:

m = [tex]\frac{f(x_{2})-f(x_{1}) }{x_{2}-x_{1} }[/tex]

m = [tex]\frac{f(16)-f(3)}{16-3}[/tex]

m = [tex]\frac{-18-18}{13}[/tex]

m = [tex]\frac{-36}{13}[/tex]

Equation of the line in slope intercept form:

y - f(x₁) = m(x - x₁)

y - 3 = [tex]\frac{-36}{13}[/tex](x - 18)

y - 3 = [tex]\frac{-36x}{13}[/tex] + [tex]\frac{648}{13}[/tex]

y = [tex]\frac{-36x}{13}[/tex] +  [tex]\frac{687}{13}[/tex]

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From the problem, the length of the rectangle is f(x) = 4x + 30 and the width is g(x) = x - 1.

To find the area, use (f · g)(5)

That will be :

ANSWER :

The area is 200

Given the following question:

We are given 12.4%

Answer:

Domain: A, [1, 7]

Range: [-4, 2]

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

Let:

Given: The cost of a table as

To Determine: The cost of the tablet

Solution

Let us first determine the discount

Then calculate the discounted price

We would also calculate the sales tax

The total price of the tablet would be

Hence, the cost of the tablet is $668.82

Answer:

y= - 104/125   (x - 1/2  2) +1

Step-by-step explanation:

hope this helps

1) Let's solve this Linear System of equations

y=-5x-13

x+2y=-23

2) Using the method of Substitution on the 2nd equation

x +2(-5x-13) = -23

x -10x -26= -23

-9x -26 =-23 Add 26 to both sides

9x=-23+26

9x = 3

x= 3/9

x= 1/3

y=-5(1/3) -13

y=-5/3 -13

y=-44/3

3) So there is one solution to that Linear System, different than those points (-1,-8) (4,10).

The distance covered by each person in hour cycling race is 44.3 miles.

For the given question;

The total distance covered by is 443 miles.

Total number of person cycling in a race = 10.

Distance covered by each person is same.

Each person's distance = 443/ 10

Each person's distance = 44.3 ,miles.

Thus, distance covered by each person in hour cycling race is 44.3 miles.

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ANSWER

EXPLANATION

We have that:

Let us find G + G:

Now, let us subtract H:

That is the answer

Answer:

exponential

Step-by-step explanation:

Step 1:

Write the formula worth of the house after 8 years.

Step 2: Given data

P = $254000

r = 1.5% = 0.015

t = 8 years

Step 3: Substitute the values of P, r and t.

Step 4: Final answer

The house worth

$286,129.12

In 56 ways, she can select the questions.

Define combination.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up. A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant. The digits 0 through 9 can be put together in one of 10,000 different ways to create a four-digit code.

Given Data

An English test contains 8 short-answer questions.

If Ebony must choose 5 to answer.

h = x

r = 5

Number of ways for selecting the questions are, through combination,

ˣC₅ = [tex]\frac{x!}{r!(x-r)!}[/tex]

ˣ C ₅ = [tex]\frac{x!}{5!(x -r)!}[/tex]

ˣC₅   = [tex]\frac{x(7)(6)5!}{5!(3)}[/tex]

ˣC₅  = 56

In 56 ways, she can select the questions.

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Answer:

13 / 20

Step-by-step explanation:

This question does not require an understanding of number theory.

NUMBER THEORY

A rational number is any real number that can be represented as a fraction or an integer. This group of numbers excludes imperfect squares or constants like pi.

THE MATH PART

We can use a bit of logic and algebra to do this.

(2/3) > (3/5)

This means we need to find a number relative to (2/3).

The rational number is ( 13 / 20 ).

I could have probably made step 2 easier by subtracting ( 1 / 4 ) of ( 1 / 15 ) from ( 2 / 3 ).

Option (D) is the correct answer.

Given:

The length of broad street is 75 yards.

The length of park street is 100 yards.

The objective is to find the length of the main street.

The length of the main street can be calculated using Pythagorean theorem.

Thus, the length of the Main street is 66.144 yards.

Hence, option (D) is the correct answer.

The graph has a horizontal asymptote given by y = 0.

We can check that R(-3) = 0

Therefore, the graph of R intersects the horizontal asymptote at (-3,0)

Answer: A

Explanation

to evaluate a function replace the x place

so

Step 1

a) when x=-2

replace

so

b) when x= -1

so

c) when x= 0

so

d)when x= 1

so

e) when x= 2

so

Step 2

now, draw a line that connects the points, so

The fraction of the large pizza that you were supposed to eat is 7/8. You could only eat 2/3 of 7/8. Thus, the fraction that you ate would be

(2/3) / (7/8)

If we flip 7/8 such that it becomes 8/7, the division sign would change to multiplication sign. Thus, we have

2/3 * 8/7

= 16/21

The fraction of the large pizza pizza that you ate is 16/21

Answer:

side c = 10.72 = Opposite

side d = 14.66 = Hypotenuse

Side 10 = Adjacent side

Explanation:

The given sides are given from the triangle;

Adjacent = 10

Angle of elevation = 47degrees

Required

Opposite = c

Hypotenuse = d

Using the SOH CAH TOA identity;

Tan theta = opposite/adjacent

Tan 47 = c/10

c = 10tan47

c = 10(1.0724)

c = 10.72

hence side c = 10.72 = Opposite

Similarly;

Cos theta = adjacent/Hypotenuse

Cos 47 = 10/d

d = 10/Cos47

d = 10/0.6819

d = 14.66

Hence Side d = 14.66 = Hypotenuse

Side C: Adjacent

Side D: Hypotenuse

Side length of 10 units: Opposite

The question says 900,000 /556040 x 190600

Hence, 3085029.85 isthe solution to the question.

Answer: why

Step-by-step explanation: help me

We need to first graph a line that goes through the point (-14, 0).

The chosen line passes through the point (-14,0) and (0, 28).

The slope of a line is given by:

Where m is the slope, (x1,y1) is the first point and (x2,y2) is the second point. Applying these points to the problem:

The slope of the line is 2.

The intercept of the line is the point at which it crosses the "y" axis. In this case this point is (0,28).

We can write the line in its slope-intercept form, since we already calculated those values. This form is given by:

Where "m" is the slope and "b" is the intercept, therefore the equation of the line is:

6.

cos a = adjacent side / hypotenuse

Replacing with the values given:

Cos 45 = 13 / y

y= 13/cos45

y= 13/ (1 /√2 )

Y= 13√2

For x apply the Pythagorean theorem

c^2 = a^2 + b^2

Where:

c= hypotenuse

a & b = the other 2 legs

(13 √2 )^2 = x^2 + 13^2

338 = x^2 + 169

338 - 169 = x^2

169 =x^2

√169 = x

x = 13