Triangle JOY is transformed to produce triangle PEP.
Select all of the transformations that would guarantee triangles JOY and PEP are congruent.


(A) a dilation, then a translation
(B) a translation, then a reflection
(C) a reflection, then a rotation
(D) a reflection, then a dilation
(E) a rotation, then a translation

Answer:

Let s =cost of skiing per day. Here's what we know:

450 + 20s = 64s + 20s (the season pass plus ski rentals equates to daily skiing plus ski rentals)

We have 20s on both sides, so those cancel out easily:

450 = 64s

Divide both sides by 64:

7.03 ≈ s

You can't pay for a partial day, so the skier will have to ski for at least 8 days to make the season pass cheaper than getting daily passes.

Step-by-step explanation:

Hope this helps :D

A=P e rt is known as the continual" growth formula.

What is a PE RT formula?

A = PRT, where "A" is the ending amount, "P" is the beginning amount (principal, in the case of money), "r" is the growth or decay rate (represented as a decimal), and "t" is the time (in whatever unit was used on the growth/decay rate), is the equation for "continual" growth (or decay).

What is the purpose of a PE RT?

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Answer: The diagonal line would have a negative slope

Step-by-step explanation:

Answer:

Step-by-step explanation:

64

Answer:  -2 (16x + 1)

Step-by-step explanation:

The number of persons that would be able to receive the chocolates based on the question is 19

The total number of chocolate = 6 1/2

This can be written to be 13 / 2 or 6.5

The number or amount that she has to give from what is contained in the box to each person is 1/3 = 0.33

Hence to get the number of people that would receive the chocolate we would have

6.5 / 0.33

= 19.5

This can be approximated to 19

Hence the total number that would receive the chocolate is 19

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We will use factorization for the given equation. The factors of the expression x²-6 x+8 are x = 2, x = 4

Writing a number or other mathematical object as the result of numerous factors—typically smaller or simpler objects of the same kind—is known as factorization or factoring in mathematics. For instance, the polynomial x2 - 4 and the number 15 may both be factored using the formula 3 × 5.

Given,

x²-6 x+8

Using factorization,

x² -4x - 2x + 8

⇒ x(x - 4) - 2(x - 4)

⇒ (x-2) (x-4)

⇒ x = 2, x = 4

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Answer:

133

Step-by-step explanation:

for that we need to sort the numbers :

124,126,128,132,132,134,134,134,142,146

the median is the number, for which half of the other numbers are smaller, and the other half of the other numbers is larger.

as we have 10 numbers, there is no such single middle number.

instead, we take the 2 middle numbers and calculate their mean value. that is then the median.

the 2 middle numbers are based on our sorted list above

132, 134

the mean value is

(132 + 134)/2 = 133

and that is then the median.

The length of the rectangle is 9 feet and the width of the rectangle is 10 feet.

The sum of a rectangle's boundary lengths on all sides is known as its perimeter. A rectangle's perimeter is a linear measurement that can be expressed in meters, feet, inches, or yards. Let's first comprehend the two fundamental characteristics of a rectangle.

Let the length of the rectangle be x feet

Then, the width of the rectangle will be x+1feet

We know that the perimeter of a rectangle is given by

P= 2(l+w)

Here

P= perimeter of a rectangle

l=length of the rectangle

w= width of the rectangle

Put l=x, w= x+1 and P= 38 in the perimeter formula

38 = 2(x+x+1)

Divide both sides by 2

19= x+x+1

19= 2x+1

Subtract 1 from both sides

18=2x

Divide both sides by 2

x=9 feet

This is the length of the rectangle.

Now, the width x+1 of the rectangle will be

9+1 = 10 feet

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The y - intercept represents a cereal with zero grams of sugar that has a rating of about 57.

The general equation of a straight line is -

y = mx + c

where -

m → slope of line

c → y-intercept of line

Given a equation → y = 2.391x + 57.420 that models the taste rating of a cereal 'y' and 'x' represents the number of grams of sugar per serving.

The y-intercept of the equation represents the point at which the graph of the equation cuts the y - axis. Now, the coordinates of the y-intercept is of the form (0, y). Therefore, the x-coordinate will be 0. Now, the equation given is -

y = 2.391x + 57.420

Comparing it with the general equation of line -

y = 2.391x + 57.420

y =   mx     +    c

The y - intercept is c = 57.420

At x = 0, the equation becomes -

y = 2.391 x 0 + 57.420

y = 57.420

Now -

Number of grams of sugar per serving = 0

Taste rating of a cereal = y = 57.420

Therefore, the y - intercept represents a cereal with zero grams of sugar that has a rating of about 57.

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The answer will be y =2

x and y graph also known as the x and y-axis are two important lines that make a graph. A graph consists of a horizontal axis and a vertical axis where data can be represented. A point can be described in a horizontal way or a vertical way, which can be easily understood using a graph. These horizontal and vertical lines or axis in a graph are the x-axis and y-axis respectively.

A x and y graph can be defined by the two axes i.e. x-axis and the y-axis that form a coordinate plane for a graph. The horizontal axis is represented by the x-axis and the vertical axis is represented by the y-axis. The point where the x and y-axis intersect is known as the origin and is used as the reference point for the plane.

y = 1/3x

when x =0

y = 0

when x =3

y = 1/3×3 = 1

when x=6

y=1/3×6= 2.

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Answer:

3-y/3

The slope is -2/5

Step-by-step explanation:

Answer:

g-1(x)=-1/4x+3/2

Step-by-step explanation:

Answer: 1 1/2> 5/4> 100%> 7/10> 0.25

Step-by-step explanation:

1 1/2= 1.50

5/4= 1.25

0.25

7/10= 0.70

100%= 1

1.50>1.25>1>0.70>0.25

Answer:

Step-by-step explanation:

3 pounds

12 divided by 4= 3 pounds

The value of function f(x) at x = - 1 and x = 3, will be -

f(-1) = 3

f(3) = 3

We have a function f(x).

We have to evaluate it at x = -1 and x = 3.

A function in mathematics is a relation between a dependent and independent variables [y and x respectively]. In a function, the dependent variable (y) always depends on independent variable (x) for its value. It is denoted by - y = f(x).

According to the question, we have -

f(x) = [- x + 2  , x ≤ 1] and f(x) = [x² - 4x + 6,  x > 1]

Now, for x = -1, f(x) will be -

f(- 1) = - (-1) + 2 = 3

and

for x = 3, f(x) will be -

f(3) = 3² - 4 x 3 + 6 = 3

Hence, the value of function f(x) at x = - 1 and x = 3, will be -

f(-1) = 3

f(3) = 3

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Answer:

2 years

Step-by-step explanation:

I= PRT/100

I=£30000 x 12 x 1 /100 =£3600

Since the interest for one year is £3600, the interest for two years is £3600x2 =£7200

The answer to the value gotten without the significant figure doesn't make sense as there's a huge difference.

It should be noted that 13822 to 1 significant figures will be 13000.

Also, it should be noted that 623 to 1 significant figure will be 600.

14 to 1 significant figure will be 10.

Therefore, the multiplication will be:

= (13000 × 600) / 10

= 780000

Therefore, the answer to the value gotten without the significant figure doesn't make sense as there's a huge difference since the earlier value was 615079.

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To graph a linear equation, including the function y + 4 = 5 · x, we needed to rewrite the equation into its explicit form, mark two distinct points on a Cartesian plane and pass a line through them. The result is presented in the image attached below.

Herein we find a linear equation in a non-canonical form and to which we are asked to graph. According to geometry, lines can be created by knowing the location of two distinct points on Cartesian plane. The detailed procedure is now shown.

First, clear the variable y to obtain the explicit form of the linear equation:

y = 5 · x + 4

Second, look up for two distinct points on Cartesian plane by evaluating the expression at distinct values of x:

x = 0

y = 5 · 0 + 4

y = 4

x = 1

y = 5 · 1 + 4

y = 9

The points (0, 4) and (1, 9) lie on the line.

Third, mark the coordinates of the two points and pass a line through them.

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Answer:

The 4th Option

Step-by-step explanation:

For a graph to be a function, it must not be broken up at any point (as in Option 3) and there can be no points that overlap each other vertically (as in Options 1 and 2). So, the only option that is continuous and with no overlapping points is Option 4.

Step-by-step explanation:

11dvccvgtgcgt5cjuuhh

The equation for the number of 30 days periods until the value of both cards will be equal is 130 - 3x = 110 - 2.5x

let

Number of 30 days period = x

Gift card 1:

130 - 3x

Gift card 2:

110 - 2.5x

130 - 3x = 110 - 2.5x

130 - 110 = -2.5x + 3x

20 = 0.5x

x = 20/0.5

x = 40

So,

Gift card 1:

130 - 3x

= 130 - 3(40)

= 130 - 120

= $10

Gift card 2:

110 - 2.5x

= 110 - 2.5(40)

= 110 - 100

= $10

Therefore, the value of each card when they have equal value is $10

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try do to division, 14÷3800

I'm not sure about the round though

Answer:

Step-by-step explanation: the answer is D. because all of the oher choices don't make sense obviously.

Answer:

  4, 0, 3

Step-by-step explanation:

You want to know which numbers are possible values of m, given a graph of the values of m.

The graph shows an empty circle at m=6, and an arrow extending to the left from that point. The empty circle means that m=6 is not a possible value of m.

The arrow extends through possible values of m, and extends to negative infinity. That means m may have any value less than 6. Such values on the offered list are ...

  4, 0, 3

__

Additional comment

The values 6, 7, 9 are not covered by the dot or the arrow, so are not possible values of m.

Answer:

0, 3, 4

Step-by-step explanation:

When the circle is open and pointing to the left, it means that the variable is less than the number the circle is at. In this case, it means that the variable is less than 6, so you would select all values that are less than 6!

I hope I helped!

Answer:

x=30

Step-by-step explanation:

on the left you have a ninety-degree angle.

5(x-12) = 90

5x-60=90

  +60 +60

5x=150

/       /

5      5

x=30

The probability of grabbing a lemon-limbed or a fruit punch bottle from the cooler is 6/11.

'AND' represents multiplication and 'OR' represents addition.

The total number of bottles of sports drinks which is also our sample space

N(S) = 11.

The number of lemon-lime flavored bottles [tex]N(L_l)[/tex] = 3.

The Number of fruit punch flavored bottles [tex]N(F_p)[/tex] = 3.

So, the probability of grabbing a lemon-lime bottle [tex]P(L_l)[/tex] = [tex]\frac{N(L_l)}{N(S)}[/tex] = 3/11.

And, the probability of grabbing a fruit punch bottle [tex]P(F_p)[/tex] = [tex]\frac{N(F_p)}{N(S)}[/tex] = 3/11.

∴ The probability of grabbing a lemon-lime or a fruit punch bottle is the sum of the probability [tex]P(L_l) + P(F_p)[/tex].

= 3/11 + 3/11.

= 6/11.

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Answer:

Step-by-step explanation:

The sum of two numbers is 56 and the difference is 24. What are the numbers?

remove the difference from the sum and divide by two, you have the first number, add the difference to the first number and you will have the second number

(56 - 24) : 2 =

32 : 2 =

16  (1st number)

16 + 24 =

40 (2nd number)

Answer:

210:35 = 6:1

Step-by-step explanation:

210:35

if divided by 35, then 6:1