Janie is designing a flyer for her business. she needs twice the width of the flier to be within 4 inches of 20 inches. complete the sentence to identify the minimum and maximum width of the flier.

The actual cost of the food and entertainment be $2,400.

For the given question;

The amount spent by Juan's company = $2,350.

The amount spent of the food = $1,500.

The amount spent on entertainment = $900.

Thus, the actual amount will be;

Actual amount = food + entertainment

Actual amount = $1,500 +  $900

Actual amount = $2,400.

Thus, the actual cost of the food and entertainment be $2,400.

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The number of the smaller squares which would be shaded to represent 0.75% as given in the task content is; 75.

The number of squares to correctly represent 245% on the grid is; 245.

It follows from the task content that; To represent the percent, Don uses a 10 × 10 grid and divides one of the squares in the grid into 100 smaller squares.

Since each Square in the 10 × 10 grid represents 1%, it follows that on division of one of the squares in the grid into 100 smaller squares;

The percentage, 0.75% can be represented by shading 75 smaller squares.

Also, the number of squares to be shaded on 10 × 10 grids to represent 245% according to the task content is; 245. This follows from the fact that, all 100 squares on the on 10 × 10 grids represent 100%.

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Answer: 2.7156

Step-by-step explanation:

Using Bidmas: we do the brackets first so 8.131 + 3.7024 = 11.8334

Then 14.549 - 11.8334 = 2.7156

Hope this helps :)

Answer:

Step-by-step explanation:

The most appropriate choice for Conjecture and Counter examples will be given by

There is atleast one zoo, may be in Africa or any other countries,  where the number of elephants is more than the number of giraffes. This is the required counterexample of this conjecture.

What is Conjecture and Counter examples?

Suppose an information is provided where the information is incomplete or insufficient, then any conclusion formed based on that information is called Conjecture.

Suppose, a statement  have been given a statement. If one can provide an example where the conditions of the statement are satisfied but the conclusion is false, then that example is called counter example.

Here,

Counterexample of "There are always more elephants in a zoo than giraffes."

There is atleast one zoo, may be in Africa,  where the number of elephants is more than the number of giraffes.

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The value of the expression : [(x – 2) ^2(x + 2)] ^2 will be (x³ - 4x² + 10x + 8)².

It should be noted that the information simony wants us to multiply the expressions that are given. In this case, they can be computed individually. This will be:

(x - 2)² = (x - 2)(x - 2)

= x² - 2x - 2x + 4.

= x² - 4x + 4

This will be:

(x² - 4x + 4)(x - 2)

= x³ - 2x - 4x² + 8x + 4x - 8

= x³ - 4x² + 10x + 8

We will then square the above value. This will be (x³ - 4x² + 10x + 8)².

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The expression [tex]\sqrt{n}[/tex]  which is the third option represents the side length, in feet, of the bulletin board.

It is given in the question that the area of the bulletin board is n square feet.

We have to find the expression that represents the side length, in feet, of the bulletin board.

Let the side, in feet of the bulletin board be x.

We know that,

Area of a square =[tex]side^2[/tex]

We have, side = x

Hence we can write,

Area of a square = [tex]x^2[/tex] square feet

Hence,

[tex]x^2=n[/tex]

Square rooting on both sides, we get

[tex]\sqrt{x^2}=\sqrt{n}\\\\x=\sqrt{n}[/tex]

Hence the expression [tex]\sqrt{n}[/tex] which is the third option represents the side of the square bulletin.

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The above graph represents Baile's Distance-Time Graph. The data on the graph came from her trip which is explained below.

A distance-time graph can be used to show the distance traveled by a straight-line moving object.

In a distance-time graph, the gradient of the line matches the item's speed. The gradient increases as the thing go faster (and the steeper the line).

So Bailey took off from her home on a power bike at the rate of 7.5 miles per hour. After 4 hours, she got to the bank to carry out an important transaction.

At the bank, she ended up spending two hours. Feeling frustrated for having wasted a lot of time at the bank, she took off to the Baseball game at a whopping 30 miles/hour.

As soon as she got to the game, she recalled that she forgot her ticket and turn back immediately traveling back home at the rate of 15 miles per hour.

Unfortunately, she decided to watch the rematch of the game online

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Answer:

x=6

Step-by-step explanation:

we know that

slope formula is,

m=(y2-y1) / (x2-x1)

where m=-3

x1=x,y1=-4 and x2=2,y2=8,

-3=(8-(-4))/(2-x)

Now solving the expression

we get,

-6+3x=12

3x=18

x=6

Answer:

Surface area: 432 Area: 576

Step-by-step explanation:

Surface area fomula: 2lh+2wl+2wh

Area formula:lh

The main number of apples in each bag is eight therefore 12 bags contain 96 apples.

The area of mathematics known as algebra aids in the representation of circumstances or problems as mathematical expressions. To create a meaningful mathematical expression, it takes variables like x, y, and z together with mathematical operations like addition, subtraction, multiplication, and division. Algebra is used in every discipline of mathematics, including trigonometry, calculus, and coordinate geometry.

Given that :There are 12 bags of apples on a market store. The main number of apples in each bag is eight

Eight apples on average fit into each bag.

We need to figure out how many apples are in the 12 bag.

The total number of apples is 8×12 = 96.

Therefore, 12 bags contain 96 apples.

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Answer:

x=[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

5x(2-4)=2(5x-4)

1. First we expand the brackets

     10x-20x=10x-8

2. we can simplify the equation to

       -10x=10x-8

3. we want to find the value of x so we get all of the x on one side so we would -10x on both side

  -20x=-8

4. to find the value of x we divide each side by -20 this gives us

x=[tex]\frac{8}{20}[/tex]

(it's not a negative as the negative cancel each other out as negative divided by negative gives us positive)

5. However we can simplify the fraction by dividing the top and bottom by     4 (this is because the highest common factor for both number is 4) this gives

 x=[tex]\frac{2}{5}[/tex]

6. Therefore -4 is not a solution for the equation

Answer:

c=9

Step-by-step explanation:

[tex]11=c+2 \\ \\ c=9[/tex]

In functions, value of x = 45 and y = 45

What is function in math?

6)  x = 15

 y = 49

3x = 3 * 15 = 45

y - 4 = 49 - 4 = 45

7)  3x + 23 = 4x

    4x - 3x = 23

     x = 23

    y =  4 * 23 =   92°

8) y + 12 = 5x °

  3x + 50  =

According to the question

     y + 12 = 3x  + 50

      5x   = 3x + 50

      2x = 50

        x = 25

y + 12 = 5x °

y = 5 * 25 - 12

y = 125 - 12 =   113

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the distance between two points is 3.5 cm

The length of the line segment bridging two locations in a plane is known as the distance between them. d=((x2 - x1)2 + (y2 - y1)2) is a common formula to calculate the distance between two points. This equation can be used to determine the separation between any two locations on an x-y plane or coordinate plane.

(1,-2) (1,1.5)

distance between two points is

= [tex]\sqrt{(1-1)^{2} + (1.5+2)^{2}[/tex]

= 3.5 cm

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Answer:   A)   (f + g) (x)

Step-by-step explanation:  Use substitution  (f + g) (x) = f (x) + g (x)  

Transform the expression   (f + g) (x) =  x+3/x+2 + x+1/x-1  

Simplify   (x-1) *(x+3) + (x + 2) * (x + 1)/(x +2) *(x -1)

Remove the opposites and calculate   x^2 +3x - x - 3 + x^2 + x + 2x + 2 /

x^2 - x + 2x -2  

Solution     (f + g) (x) = 2x^2 + 5x -1 / x^2 + x - 2

Main Answer:

Height decreased in 1 second is 80 cm

Explanation:

The total amount of height decreased is 120.

Total amount of time taken is 1.5 s.

Height decreased in 1 second = [tex]\frac{120}{1.5}[/tex]

⇒ [tex]\frac{1200}{15}[/tex]

⇒ 80 cm

Therefore, height decreased in 1 second is 80 cm.

Answer:

18/20

Step-by-step explanation:There are 20 total cards and 2 are brown so answer would be 18/20.

The slope of this straight line is equal to: A. 2

A slope is also referred to as gradient and it's typically used to describe both the direction, ratio, and steepness of the function of a straight line based on its coordinates or points.

Mathematically, the slope of any straight line can be calculated by using this formula;

[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

By critically observing the given graph, we can logically deduce the following points:

Note: Each interval on this graph represents 1 unit.

Substituting the given points into the formula, we have;

Slope = Δy/Δx

Slope = (-3 - 1)/(-1 - 1)

Slope = -4/-2

Slope = 2

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To translate figure ABCD into A'B'C'D' rotate 90° about D and then reflect across AB.

When a figure is relocated from one place to another without changing its size, shape, or orientation, a transition known as translation takes place.

If we know which way the figure is moving and how much, we can draw the translation in the coordinate plane.

Every point of the object must be translated by the same amount and in the same direction.

To translate figure ABCD into A'B'C'D' rotate 90° about D and then reflect across AB.

option (d)

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Answer:57/100

Step-by-step explanation:

You just take 57 and add it to 100

Step-by-step explanation:

if I understand correctly, one side of the square is 2m⁴n.

so, the area of the square is

side² = (2m⁴n)² = 4m⁸n²

because

(2m⁴n)² = 2m⁴n × 2m⁴n

and that is 4m⁸n²

The dimensions of the bookmark is 14cm.

The perimeter of a shape is the space surrounding it. Space inside a shape is measured by area. Learn how to compute the area and perimeter of various forms. The perimeter of a square is equal to four times the length of its side, and its area is equal to the square of that length. As a result, the square's perimeter will be as follows: perimeter = 4 x side = 4 area units. As a result, given a square's size, we can determine its perimeter.

Given data

Area = 160cm

Perimeter = 56

Area = side²

Perimeter = 4(a)

Putting values in perimeter

Perimeter = 4a

56 = 4a

a = [tex]\frac{56}{4}[/tex]

a = 14

The dimensions of the bookmark is 14cm.

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Using simple interest, it is found that the amounts invested are given as follows:

Simple interest is used when there is a single compounding per time period, usually measured in years.

The amount of money after t years in is modeled by:

A(t) = P(1 + rt)

In which:

The interest accrued over t years is:

I(t) = Prt.

For this problem, we have that:

From the interest earned, we have that:

[tex]I_1 + I_2 = 677[/tex]

In which:

Replacing both these relations in the sum of interests, we have that:

0.072P + 0.07(9000 - P) = 677

0.002P = 677 - 0.07(9000)

P = (677 - 0.07(9000))/0.02

P = 2350.

Hence she invested $2,350 at a rate of 7.2% and $6,650 at a rate of 7%, as 9000 - 2350 = 6650.

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476 x 0.001 = 0.476

0.476 x 10¹ = 4.76

4.76 x 10³ = 4,760

47.6 x 0.1 = 4.76

We have to find the following products of the equations.

The basic rule for multiplication between numbers with decimal points can be described through some examples first.

Decimal point is shifted leftwards up to the power of 10 which is divided with it. Also decimal point is shifted rightwards when multiplied with powers of 10.

Now we will find the product for each equation:

For 476 × 0.001, 0.001 = 1/1000

Therefore, 476 × 0.001 = 476 × 1/1000 = 0.476 [decimal point shifted left]

For 0.476 × 10¹ = 0.476 × 10 = 4.76 [decimal point shifted right]

For 4.76 × 10³ = 4.76 x 1000 = 4760 [decimal point shifted right]

For 47.6 x 0.1 = 47.6 x 1/10 = 4.76 [decimal point shifted left]

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The maximum value of the function is at (8, 7).

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The surface area of the regular pyramid is 151.9 m².

The surface area of the regular pyramid can be found as follows:

surface area of the pyramid = A + 1 / 2 ps

where,

Therefore,

A = 61.9 m²

p = 6 × 5 = 30 m

s = 6m

Hence,

surface area of the pyramid = 61.9 + 1 / 2 × 30 × 6

surface area of the pyramid = 61.9 + 180 / 2

surface area of the pyramid = 61.9 + 90

surface area of the pyramid = 151.9 m²

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Answer:

10

Step-by-step explanation:

I'm going to estimate [tex]\sqrt{30}[/tex]. Because root 25 is 5 and root 26 is 6, root 30 is around 5.5. 5.5 + 6.2 is around 10.

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