The quilt design at the right is a traditional American design what is the minimum number of translations of the original pattern, A, needed to create the section shown?


a. 14 translations

b. 15 translations

c. 16 translations

d. 17 translations

Answer:

Age of Jose =  5 years

Age of Adrian = 13 years

Step-by-step explanation:

Let:

Age of Jose = x

Age of Adrian = x+8

After 3 years

Age of Jose = x+3

Age of Adrian = x+8+3 = x+11

Now, we are given, in 3 years he will be twice as old as his brother.

So, we can write

Age of Adrian = 2 (Age of Jose)

x+11 = 2(x+3)

x+11=2x+6

2x-x=11-6

x=5

So, we get value of x = 5

Now, the present ages will be:

Age of Jose = x = 5 years

Age of Adrian = x+8 = 5+8 = 13 years

Adrian is 8 years older than his brother, Jose. In 3 years, he will be twice as old as his brother. Find the present age of each.

Let's represent the age of Jose as \(\large\rm x\)

According to the problem, Adrian is 8 years older than Jose, so Adrian's age can be represented as \(\large\rm x + 8\).

In 3 years, Adrian's age will be \(\large\rm (x + 8) + 3\) and Jose's age will be \(\large\rm (x + 3)\).

The problem also tells us that in 3 years, Adrian will be twice as old as Jose:

\(\Large\begin{aligned}\rm{(x + 8) + 3}& =\rm{2(x + 3)}\\\rm{x + 11}&=\rm{2x +6}\\\rm{\cancel{x\red{-x}} + 11}&=\rm{2x \red{-x} + 6}\\\rm{11}&=\rm{x + 6}\\\rm{11\red{-6}}&=\rm{x + \cancel{6\red{-6}}}\\\bold{5}&=\rm{x}\end{aligned}\)

So Jose is currently 5 years old.

To find Adrian's age, we can use the fact that Adrian is 8 years older than Jose:

\(\Large\begin{aligned}\rm{Adrian's\: age}& =\rm{x + 8}\\\rm{Adrian's\: age}&=\rm{\red{5} + 8}\\\rm{Adrian's\: age}&=\bold{13}\end{aligned}\)

Therefore:

\(\\\\\)

For more information visit these links:

https://brainly.com/question/16552827

https://brainly.com/question/29159374

https://brainly.com/question/9051590

B' would now have the following updated coordinates: (-6, 6)

resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ. A dilatation ought to either extend or contract the original form. The scale factor is a phrase used to describe this transition.

The scale factor is defined as the difference in size between the new and old images. An established location in the plane is the center of dilatation. The dilation transformation is determined by the scale factor and the center of dilation.

If ABCD is dilated by a factor of 3

Then To enlarge this by a factor of three...

-2 * 3 = -6

2 * 3 = 6

B' would now have the following updated coordinates:

(-6, 6)

There are a few things to be aware of:

- A "scale factor" is three.

Hence B' would now have the following updated coordinates: (-6, 6)

Learn more about dilation, by the following link

https://brainly.com/question/29811168

#SPJ1

Answer:

120

Step-by-step explanation:

Using factorial, we can calculate the total possible number of combinations to line up.

5! = 120.

5! is another way of saying 5 × 4 × 3 × 2 × 1

Answer: X = 12

Step-by-step explanation:

Answer:

Step 1: Set the expression inside the square root greater than or equal to zero. Step 2: Solve the equation found in step 1. In this case, we divided by a negative number, so had to reverse the direction of the inequality symbol. Step 3: Write the answer using interval notation.

Answer:

It will cost 12p a one apple

Answer:

-2/5

Step-by-step explanation:

You can solve this by doing that rise/run

rise/run = -2/5

Slope = -2/5

Explanation

Let the number be x. Therefore, we will have

Answer:

The real part is -7.

The imaginary part is 8.

Step-by-step explanation:

A complex number has the form:

\(a+bi\)

Where a is the real part and b is the imaginary part.

We are given:

\(-7+8i\)

Hence:

\(a=-7\text{ and } b=8\)

So, we can say that our real part is -7 and our imaginary part is 8.

Answer:

15i

Step-by-step explanation:

should be correct happy new year

Answer:

11

Step-by-step explanation:

for each full cup of sugar, you need 3 one-third measuring cups.

we have 3 full cups so 3×3=9

and another 2 for the 2/3, 9+2=11

so a total of 11 scoops

Answer:

x=4

Step-by-step explanation:

The left and right sides are equal so:

5x-2 + 4x = 7x-4 + x+6

Collect the like terms and calculate the sum :

9x-2 = 8x+2

Move terms and change it's sign:

9x-8x = 2+2

And finally:

x=4

Also if you solve the equations of the other sides you'll find x₁=0.5 and x₂=4

which the intersection with the previous answer will be x=4

Answer:

3+p=12

Step-by-step explanation:

Answer:

3 + p = 12

Step-by-step explanation:

3 + p = 12. Its really easy. Hope this helps :)

Answer:-3x - 12 + 5x

Step-by-step explanation:

Answer:

first and third expressions

Step-by-step explanation:

using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)

then

\(\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }\)

= \(3^{\frac{4}{9}-\frac{2}{9} }\) ← first expression

= \(3^{\frac{2}{9} }\) ← third expression

Answer:

I think it's D? However I'm not sure.

Answer:

548 > 373

Step-by-step explanation:

548 is greater than 373 because when we compare the digits from left to right, we find that the first digit of 548 (5) is greater than the first digit of 373 (3). Therefore, we can conclude that 548 is greater than 373.

The ">" symbol is used to represent "greater than" in mathematical comparisons.

Hope this helps!

Answer: 101 and 59

Step-by-step explanation:

Rewrite as a difference of 2 perfect squares

5959 = (6400-441) = (80)^2 - (21)^2

Difference of 2 perfect squares

a^2 - b^2 = (a+b) (a-b)

Factors are (80+21) and (80-21)

101 and 59

Answer:

width = 3/10 mi

Step-by-step explanation:

area = length * width

width = area/length

width = (3/4 mi^2)/(2 1/2 mi)

width = (3/4 mi^2)/(5/2 mi)

width = 3/4 * 2/5 mi

width = 6/20 mi

width = 3/10 mi

Showing that this need not be true if f is continuous but not uniformly continuous.

Given :

let f be a uniformly continuous function on a set e. show that if {xn} is a cauchy sequence in e then {f(xn)} is a cauchy sequence in f(e).

( 1 )

If f is uniformly continuous on E, then given ε > 0 there is δ > 0 such that if x, y are in E and |x−y| < δ,

then |f(x) − f(y)| < ε. Let (xn) be a Cauchy sequence in E. Then given δ > 0 there is N such that if p, q > N,

then |xp − xq| < δ, and thus |f(xp) − f(xq)| < ε, implying that (f(xn)) is a Cauchy sequence.

( 2 )

Let E = {1, 1/2, 1/3, · ·  } and f(1/n) = 1 is n is odd, f(1/n) = −1 if

n is even. Then f is continuous but not uniformly continuous. The sequence (xn) = (1/n) in E is Cauchy but the

sequence (f(xn)) = (1, −1, 1, −1, · · ·) is not Cauchy.

Learn more about the sequence here:

https://brainly.com/question/21961097

#SPJ4

Answer:

k =  z/4 + 3

Step-by-step explanation:

8k-2z = 24

8k = 24 + 2z

k = (24 + 2z)/8

k = (24 + 2z) / (4*2)

k = (12 + z) / 4

k = 3 + z/4

The simplified expression of x(3x + 5)-5(2x - 1) is 3x² - 5x + 5

From the question, we have the following parameters that can be used in our computation:

x(3x + 5)-5(2x - 1)

Open the brackets

So, we have

3x² + 5x - 10x + 5

Evaluate the like terms

So, we have

3x² - 5x + 5

Hence, the simplified expression is 3x² - 5x + 5

Read more about expression at

https://brainly.com/question/31819389

#SPJ1

Answer:

Step-by-step explanation:

It said the greatest amount,

So change 50% to .50

120x.50=60

The mean and median of the given data set are 5.55 and 4.

So, the data is:

(A) Mean of data:

(B) Median of data:

Therefore, the mean and median of the given data set are 5.55 and 4.

Know more about mean and median here:

https://brainly.com/question/6281520

#SPJ9

Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

Let's find the mean, median, and mode for each set of numbers:

Set: 40, 38, 29, 34, 37, 22, 15, 38

Mean: To find the mean, we sum up all the numbers and divide by the total count:

Mean = (40 + 38 + 29 + 34 + 37 + 22 + 15 + 38) / 8 = 273 / 8 = 34.125

Median: To find the median, we arrange the numbers in ascending order and find the middle value:

Arranged set: 15, 22, 29, 34, 37, 38, 38, 40

Median = (29 + 34) / 2 = 63 / 2 = 31.5

Mode: The mode is the number(s) that appear(s) most frequently in the set:

Mode = 38 (appears twice)

Set: 26, 32, 12, 18, 11, 14, 21, 12, 27

Mean: Mean = (26 + 32 + 12 + 18 + 11 + 14 + 21 + 12 + 27) / 9 = 173 / 9 ≈ 19.222

Median: Arranged set: 11, 12, 12, 14, 18, 21, 26, 27, 32

Median = 18

Mode: No mode (all numbers appear only once)

Set: 3, 3, 4, 7, 5, 7, 6, 7, 8, 8, 8, 9, 8, 10, 12, 9, 15, 15

Mean: Mean = (3 + 3 + 4 + 7 + 5 + 7 + 6 + 7 + 8 + 8 + 8 + 9 + 8 + 10 + 12 + 9 + 15 + 15) / 18 ≈ 8.611

Median: Arranged set: 3, 3, 4, 5, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 10, 12, 15, 15

Median = 8

Mode: Mode = 8 (appears 4 times)

Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

For more questions on Mean

https://brainly.com/question/1136789

#sPJ8

Area and circumference of the circle are 78.5 m² and 31.4 m respectively.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that, a circle have a radius 5 m

Area of a circle = π × radius²

Circumference = 2π×radius

Area = 3.14 × 5² = 3.14 × 25 = 78.5 m²

Circumference = 3,14 × 2 × 5 = 31.4 m

Hence, area and circumference of the circle are 78.5 m² and 31.4 m respectively.

Learn more about circle, click;

https://brainly.com/question/29142813

#SPJ1

Answer:

208.6 gal/min

Step-by-step explanation:

For 2" pipe,

Given Volume = 463.2 gal, time = 12 min

flow rate for 2" pipe

= Volume ÷ time

= 463.2÷12

= 38.6 gal/min

For 4" pipe,

Given Volume = 1730.4 gal, time = 7 min

flow rate for 4" pipe

= Volume ÷ time

= 1730.4÷7

= 247.2 gal/min

Difference in flow rate = 247.2 - 38.6 = 208.6 gal/min

Answer:

It is Positive,Negative,Positive after solving each of them

The amount of cars you need to break even is 5.

To determine the number of cars you need to break even, we can set up an equation where the revenue equals the total cost.

Let's denote the number of cars as x.

Revenue = Number of cars × Price per wash

= x × $10

Total cost = Cost per car × Number of cars + One-time cost

= $3x + $35

To break even, the revenue should be equal to the total cost:

x × $10 = $3x + $35

Now, let's solve this equation to find the value of x:

10x = 3x + 35

Subtract 3x from both sides:

10x - 3x = 3x + 35 - 3x

7x = 35

Divide both sides by 7:

x = 35 / 7

x = 5

For similar questions on amount

https://brainly.com/question/24644930

#SPJ11

A chef has a five and five-eighths pound beef filet.

She slices the filet into 8-ounce steaks.

How many pounds is each steak?

We simply need to convert 8-ounce into pounds.

Since 16 oz = 1 pound then

8/16 = 1/2 pounds

Therefore, each steak is 1/2 pounds.

How many 8-ounce steaks can the chef create from the filet?

First, we have to convert five and five-eighths pounds into ounces

Since 1 pound = 16 oz then

So there are 90 oz in five and five-eighths pounds.

Finally, we can divide the 90 oz by 8-ounces to get the number of steaks.

Which means that she can make 11 steaks of 8-ounces.

The leftover meat is 1/4