You designed invitations for the Thanksgiving dinner, and you want to order them soon. The current sizing 9 in. X 8 in. is too big so you would like to scale it down. on the website, you select a scale factor of 5:1. given the current measurements, what will the new measurements be?

Answer:

Add vaslues

Step-by-step explanation:

How much money does kayla have?

Answer:

but what is the question

The solutions to the equation 1x² - 16x = 20 are x = 8 + 2√21 and x = 8 - 2√21.

To solve the quadratic equation 1x² - 16x = 20, we need to rearrange it into the standard form ax² + bx + c = 0. Let's simplify the equation step by step:

1x² - 16x = 20

First, move all terms to one side of the equation:

1x² - 16x - 20 = 0

Now we have a quadratic equation in the standard form. To solve it, we can use factoring, completing the square, or the quadratic formula. In this case, factoring may not be straightforward, so let's use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For our equation, a = 1, b = -16, and c = -20. Substituting these values into the quadratic formula:

x = (-(-16) ± √((-16)² - 4(1)(-20))) / (2(1))

Simplifying further:

x = (16 ± √(256 + 80)) / 2

x = (16 ± √336) / 2

x = (16 ± √(16 * 21)) / 2

x = (16 ± 4√21) / 2

Simplifying:

x = 8 ± 2√21

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There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.

To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.

Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.

Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.

To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.

Therefore, there will be 12 slices of pizza left over.

To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.

If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.

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\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Let's solve for x ~

Answer:

\(\boxed{\blue{ = \frac{196}{3}}} \)

Step-by-step explanation:

Let's solve your equation step-by-step.

3x+2=198

Step 1: Subtract 2 from both sides.

3x+2−2=198−2

3x=196

Step 2: Divide both sides by 3.

\( \tt \: \frac{3x}{3} = \frac{196}{3} \)

Result:

\(\boxed{\underline{ x = \frac{196}{3}}} \)

Dan is Correct by concluding  that adults spend a mean of 3 hours each day doing leisure and sports activities. because \(3.08\) hours or \(3.09\) hours which are the mean time of sample A and B  is approximately equal to 3 hours

From the question we are told that:

Total Sample size \(n=500\)

Dan's mean  \(\=x_D= 3hr\)

Bret's mean   \(\=x_D= 4hr\)

Generally, the  Total hours spent doing leisure and sports activities  is mathematically given by

For Sample A

\(T_a=(1*70)+(2*90)+(3*135)+(4*140)+(5*65)\\\\\)

\(T_a=1540 hours\)

For Sample B

\(T_b=(1*80)+(2*80)+(3*130)+(4*135)+(5*75)\)

\(T_b=1545\)

Therefore

Mean Time spent doing leisure and sports activities by an American Adult

For Sample A

\(T_A=\frac{T_a}{n}\)

\(T_A=\frac{1540}{500}\)

\(T_A=3.08\) hours

\(T_A \approx 3\) hours

For Sample B

\(T_A'=\frac{T_b}{n}\)

\(T_A'=\frac{1545}{500}\)

\(T_A'=3.09\) hours

\(T_A' \approx 3\) hours

In conclusion

Dan is Correct because \(3.08\) or \(3.09\) which are the mean time of sample A and B is approximately equal to \(3\)

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Answer:

10%

Step-by-step explanation:

240 pages divided by 24 pages equal 10 percent

Given:

Knowing that Y is true, then:

Answer:

The amount he will have at the end of five years is $11,616.8

Interest on the amount is $1,616.8

Step-by-step explanation:

Kindly check the attached picture for explanation.

By using the Unitary Method we get the number of children who went on an excursion was 63. Thus, the total number of children at school is 90.

We are given that,

No. of children who stayed at school is 27,

Also, 70% of the children went on an excursion.

Suppose, the total number of children in percentage is 100%

Out of which 70% went on an excursion

Thus, the children who stayed at school is 100% - 70% = 30%

By using the Unitary method, we can find out the number of 70% of children.

If 30% of the children are 27

Then 70% of the children are = 27 × 100

                                                        30

                                                 = 63

∴ the total no. of children in the school = 27 + 63

                                                                 = 90

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Answer:

Chart nº 2

Step-by-step explanation:

Just match each points you will see which one is actually on the diagram!

Answer:

Step-by-step explanation:

To multiply 14/5 and 8/2 using cross multiplication, you can follow these steps:

Write the two fractions next to each other, separated by a multiplication sign:

14/5 x 8/2

Multiply the numerator of the first fraction by the denominator of the second fraction, and write the result as the numerator of a new fraction:

14 x 2 = 28

Write this as a fraction with the denominator of the first fraction:

28/5

Multiply the numerator of the second fraction by the denominator of the first fraction, and write the result as the numerator of a new fraction:

8 x 5 = 40

Write this as a fraction with the denominator of the second fraction:

40/2 = 20

Write the two fractions together as a product:

14/5 x 8/2 = 28/5 x 20

Simplify the product if possible. In this case, we can simplify by dividing both the numerator and denominator of 28/5 by 2:

28/5 = 14/5 x 2/2 = 14/5

So the final result is:

14/5 x 8/2 = 14/5 x 20 = 56

Answer: 40/28 or 10/7 or 1 3/7

Step-by-step explanation:

14/5 x 8/2

= 8 x 5 and 14 x 2

= 40 and 28

Thus, you would just put the 2 numbers in a fraction form to get your product.

If you want the simplified versions, you would get 10/7 or 1 3/7.

Answer:

BOTTOM OF BOXES

Step-by-step explanation:

Read all the caps

Answer:

I think 7 is the answer

hope it helps

The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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Note that from the graph given it is clear to see that the translation is 7 units down (Option C).

Translation is a mathematical transformation that shifts the position of an object or function without changing its shape or orientation. It involves moving every point in the object or function by a fixed distance in a specified direction.

In two-dimensional geometry, translation can be described using vector notation, where the vector represents the amount and direction of the displacement. Translation is an important concept in various branches of mathematics, including geometry, linear algebra, and calculus.

To check the correctness of the answer, take any point from the image  above, and count 7 units down. You'd discover that it terminates exactly at the coordinate of the new point.

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jet1 = 549 mi/h

jet2 = 620 mi/h

x= jet1

x + 71 = jet2

6 hours

6 * x

6 * x + 71

6x + 6x + 426 = 7014

12x = 7014 - 426

12x = 6588

x = 6588/12

x= 549

x + 71 = 620

wyzant

Answer:

2sqr3, the first option

Step-by-step explanation:

Answer:

answer is b took the test n dude

Step-by-step explanation:

Answer:

12x+25y=300.

he can buy 25 used games .hope this helped!

Answer:

12x+25y=300

Step-by-step explanation:

Standard Form= Ax+Bx=C

12x, because $12 for each old video game (x) he gets.

25y, because for each new game (y) it costs $25.

total=300

plug in for standard form

Answer:

81 - 1 1/5 x < 55

Step-by-step explanation:

-1 1/5x < -26

-6/5x< -26

x < -26 * -5/6

x < 65/3

Answer:

the answer is C it was on my mid-term

Step-by-step explanation:

The area of the triangle LMN is A = ( 1/2 ) x base x height

Given data ,

Let the triangle be represented as ΔLMN

Now , the base of the triangle be , b = MN

Let the height of the triangle be = h

Now , the area of the triangle is A = b x h

On simplifying , we get

A = LM x MN

Therefore , the value of A = base x height

Hence , the area of triangle is solved

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Answer:

60 / (15+x)

Step-by-step explanation:

First, we would start off with (15+x).  It is in parenthesis because we need to do that foremost.  

Second, we divide by 60.  

60/(15+x)

The coordinates for the point J are (-5, 6).

The radius 12 represents the center of the circle from each band member to the edge of the circle.

The domain of the circle is -17 ≤ x ≤ 7.

The range of the circle is -6 ≤ y ≤ 18.

In Mathematics and Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

From the information provided above, we have the following equation of a circle:

x² + y² + 10x - 12y - 83 = 0

x² + 10x + y² - 12y = 83

x² + 10x + (10/2)² + y² - 12y + (-12/2)² = 83 + (10/2)² + (-12/2)²

x² + 10x + 25 + y² - 12y + 36 = 83 + 25 + 36

(x + 5)² + (y - 6)² = 144

(x + 5)² + (y - 6)² = 12²

Therefore, the center (h, k) is (-5, 6) and the radius is equal to 12 units.

By critically observing the graph shown in the image attached below, we can reasonably and logically deduce the following domain and range:

Domain = [-17, 7] or -17 ≤ x ≤ 7.

Range = [-6, 18] or -6 ≤ y ≤ 18.

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Answer:

It multiplies

Step-by-step explanation:

if the number of hours changes to example to 2 then you multiply 60 by 2 resulting in 120miles in 2 hours

Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.

Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.

How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.

Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.

The weight per carton is 55 pounds.

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Answer:

51.2

Step-by-step explanation:

hypotenuse (h) = 95

base(b) = 80

perpendicular (p)= x = ?

then by using Pythagoras theorem,

p = \(\sqrt{h^{2}-b^{2} }\)

   = √95² - 80²

  =√2625

  = 51.2  

hope it will help:)