The length of a rectangle is 7 feet more than twice the width, and the area of the rectangle is 99 ft.² Find the dimensions of the rectangle

Answer:

y=-2/3x+2

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Answer: 4

Step-by-step explanation:

The amplitude is the distance from the baseline to the maximum.

The right answer is Option D: $5.44

Step-by-step explanation:

Given,

Cost of one sun visor = $6.25

Cost of 11 sun visors = 6.25*11 = $68.75

Cost of one sunglasses = $8.90

Cost of 4 sunglasses = 8.90*4 = $35.60

Cost of one water bottle = $9.50

Cost of 8 water bottles = 9.50*8 = $76

Cost of one whistle = $1.75

Cost of 15 whistles = 1.75*15 = $26.25

Total number of items = 11+4+8+15 = 38

Total cost of items = 68.75+35.60+76+26.25 = $206.60

Average = [tex]\frac{Sum\ of\ prices}{No.\ of\ items}[/tex]

[tex]Average=\frac{206.60}{38}\\Average=\$5.436[/tex]

Rounding off to nearest hundredth

Average = $5.44

The average price of an item is $5.44

The right answer is Option D: $5.44

Keywords: average, sum

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The question is incomplete. Here is the complete question:

The triangle will be rotated 180° clockwise around the point (3, 4) to create A A'B'C.Which

characteristics of AA'B'C' will be the same for the corresponding characteristics of AABC? Select ALL that  apply.

(A) The coordinates of A'.

(B) The coordinates of B'.

(C) The perimeter of Δ A'B'C'.

(D) The area of Δ A'B'C'.

(E) The measure of ∠B'.

(F) The length of segment A'B'.

Answer:

(C) The perimeter of Δ A'B'C'.

(D) The area of Δ A'B'C'.

(E) The measure of ∠B'.

(F) The length of segment A'B'.

Step-by-step explanation:

Given:

A triangle ABC rotated by 180° clockwise around the vertex C(3,4) to create Δ A'B'C.

Now, a rotation is a rigid motion transformation. In rigid transformation, the  size, length, angle measures, perimeter and area of the figure doesn't change and remains the same as the original figure.

Rotation only changes the position of the points on the figure.

Here, as the triangle ABC is rotated about vertex C, the position of vertex A and B will change. But, the angles made by each of the vertices will remain same. Also, the side lengths of the triangle will remain the same. So, the perimeter and area will also not change. As the point of rotation is point C, the vertex C' will be same as vertex C.

So, the correct options are (C), (D), (E), and (F).

Answer:12

Step-by-step explanation:bcs in 1/3 it  has the same denominatoor

Answer:

1) up

2) correct

3) left

4) down

Step-by-step explanation:

do you not have a graphing calculator, it really helps you with these.

The parabola opens by matching an equation are as follows,

The standard equation of a regular parabola exists [tex]y^{2} = 4ax.[/tex] Some of the important representations below are helpful to understanding the features and parts of a parabola. Focus: The point (a, 0) is the focus of the parabola.

A parabola is a plane curve that exists mirror-symmetrical and is approximately U-shaped. It fits several superficially various mathematical descriptions, which can all be established to define the same curves.

The parabola opens by matching an equation are as follows,

To learn more about Parabola refer to:

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Answer:

1/392 cubic yard

Step-by-step explanation:

 V = Bh = (1/28 yd²)·(1/14 yd) = 1/(28·14) yd³ = 1/392 yd³

Answer:

1/392

Step-by-step explanation:

i was foing this test and turns out this is right.

Answer:

The probability of selecting the given event = [tex]\frac{25}{52}[/tex]

Step-by-step explanation:

A card is drawn at random from a standard 52-card deck.

We have to find the probability of selecting an odd numbered card(3,5,7,9) or spade or both.For this we have to find the number of favourable cases.

Favorable cases = 13 (all the spades) + 12(4 odd numbered cards from each of the remaining 3 )

                         = 25

Final probability = [tex]\frac{number of favourable cases}{total number of cases}[/tex]

                             = [tex]\frac{25}{52}[/tex]

Hence the probability = [tex]\frac{25}{52}[/tex]

Answer:

f(g(x))=(x-2)^2 - 7

(x-2)(x-2) - 7

x^2-2x-2x+4-7

x^2-4x-3

g(f(x))=x^2-2-7

x^2-9

(x+3)(x-3)

Step-by-step explanation:

To evaluate functions, you substitute x with the given value in the function and perform the calculation. For example, evaluating f(3) for the function f(x)=x^2-7 gives f(3)=2, while evaluating g(3) for the function g(x)=x-2 gives g(3)=1.

The functions given are f(x)=x^2-7 and g(x)=x-2. To evaluate these functions, we substitute a value for x into the function and perform the calculation. For example, if we want to evaluate f(3), we replace x in the function f(x) with 3.

So for f(3)=3^2-7, we do the following: f(3)=9-7=2.

For g(3), we substitute x in the function g(x) with 3: g(3)=3-2=1

It's important to note that the value you're evaluating might change depending on the question, but this is the basic process for evaluating a function at a given value or values.

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Answer: see attached file

Step-by-step explanation: see attached file for explanation. Thanks!

Answer:

m = -1/2

Step-by-step explanation:

As we move from the point (-1, 7) to the point (3, 5), x increases by 4 (this is the "run") and y decreases by 2 (this is the "rise").

Thus, the slope of the line connecting these two points is

m = rise / run = -2/4, or m = -1/2.

Answer:

1/2

Step-by-step explanation:

Answer:

The fraction of trip completed by Andre is  [tex]\frac{31}{24}[/tex] km

Step-by-step explanation:

Given as :

The Total distance between the home to a festival = 1 [tex]\frac{5}{8}[/tex] km

I.e The total distance between the home to a festival =  [tex]\frac{13}{8}[/tex] km

The distance cover by Andre before taking rest =  [tex]\frac{1}{3}[/tex] km

Let The fraction of trip completed by Andre = x km

So, According to question

The fraction of trip completed by Andre = The Total distance between the home to a festival - The distance cover by Andre before taking rest

or, x =  [tex]\frac{13}{8}[/tex] km - [tex]\frac{1}{3}[/tex] km

or, x =  [tex]\frac{39 - 8}{24}[/tex] km

∴ x = [tex]\frac{31}{24}[/tex] km

Or, The fraction of trip completed by Andre = x = [tex]\frac{31}{24}[/tex] km

Hence , The fraction of trip completed by Andre is  [tex]\frac{31}{24}[/tex] km Answer

Answer:

[tex]\frac{4}{15}[/tex]

Step-by-step explanation:

We know that the total distance is

[tex]1\frac{5}{8}km[/tex] which is standard fraction would be [tex]\frac{13}{8}km[/tex].

So, Andre walks [tex]\frac{1}{3}km[/tex], that means he needs to walk the following distance to get to the festival

[tex]\frac{13}{8}-\frac{1}{3}=\frac{39-8}{24}=\frac{31}{24}km[/tex]

Now, to find the fraction of the tripe that represents the distance he already completed, we have to divide

[tex]\frac{1}{3} \div \frac{13}{8}=\frac{1}{3} \times \frac{8}{13}=\frac{8}{30}=\frac{4}{15}[/tex]

Therefore, we completed a [tex]\frac{4}{15}[/tex] part of the total distance.

Answer:

120 ways

Step-by-step explanation:

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Answer:

56

Step-by-step explanation:

add

Answer:

272,100

This is because 62 rounds up

Answer:

272,100

You get this answer by looking at the hundreds place and then looking at the right of it. The hundreds place is the 0 and the the right of it is 6, so 5 and up round up 4 and down round down and in this case, 6 is above 5, so it rounds up to 272,100!

Hope this helped!

Answer:

For [tex](2x^2 + 8x - 8)[/tex], the group is CLOSED as it a polynomial.

Step-by-step explanation:

Here, the given polynomials are:

[tex]P(x)=(5x^2+2x-6)\\Q(x)=(3x^2-6x+2)[/tex]

Now, a group G is said to be CLOSED UNDER SUBTRACTION if,

a and b are he elements of G ⇒ (a-b) is ALSO AN ELEMENT of G

Now, here:

[tex]R(x)  = P(x) - Q(x) = (5x^2+2x-6) - (3x^2-6x+2) = (2x^2 + 8x - 8)[/tex]

or, [tex]R(x)  = (2x^2 + 8x - 8)[/tex]

Also, R(x) is a POLYNOMIAL.

So, R(x) is an Element of group G.

So, the set G of polynomials.

Hence, for the polynomial  [tex](2x^2 + 8x - 8)[/tex], it will be a polynomial the group is CLOSED.

Answer:

The answer would be C

Step-by-step explanation:

Answer:

The number of trucks and sedans can be

(0 trucks ,26 sedans)

(8 trucks ,21 sedans)

(24 trucks ,11 sedans)

(25 trucks ,1 sedans)

(32 trucks ,6 sedans)

(16 trucks ,16 sedans)

Step-by-step explanation:

Given:

The  cost for trucks =$5

The cost for sedans  =$8

The total amount collected = $208

To Find:

Number of trucks and sedans passed through the toll booth =?

Solution:

Let the number of trucks be x and the number of sedans be y

Then

5x + 8y = 208-------------------------------(1)

By Trail and error method

5(0) + 8(26) = 208

5(8) + 8(21) = 208

5(24) +8(11) =208

5(25) + 8(1) = 208

5(32) + 8(6) =208

5(16) + 8(16) = 208

STEPS:

First distribute the 5 through the parentheses to get 5q + 135. So the problem now reads 5q + 135 - (-30) = 95.

Now, minus a negative can be changed to plus a positive so - (-30) can be changed to +30 so our equation now reads 5q + 135 + 30 = 95.

Before adding or subtracting anything from both sides of the equation, make sure you simplify the left side as much as possible. Notice that we can add 135 and 30 to get 165 so the left side simplifies to 5q + 165 = 95.

Now we can simply subtract 165 from both sides of the equation to get 5q = -70.

Now simply divide both sides of the equation by 5 to get q = -14.

$120 +$144 =$264

Alexndra earns $264

Answer:

You have to simplify the equation and find the answer

Step-by-step explanation:

[tex]4x + ( - 4) = - 2x + 8 \\ \\ 4x + 2x = 4 + 8 \\ \\ 6x = 12 \\ \\ x = 2[/tex]

Answer:

Step-by-step explanation:

4x+(-4) = -2x+8

4x - 4 = -2x + 8

Collecting like terms

4x + 2x = 8 + 4

6x = 12

Dividing through by 6

x = 12/6

x = 2

Answer:

See the explanation

Step-by-step explanation:

Given function

[tex]Y=3x+1[/tex]

We need to find [tex]y[/tex] value corresponding to each [tex]x[/tex] value.

So, plug each [tex]x[/tex] value in equation we get,

[tex]plug\ x=4\\y=3(4)+1\\y=12+1\\y=13\\\\plug\ x=6\\y=3(6)+1\\y=18+1\\y=19\\\\plug\ x=10\\y=3(10)+1\\y=30+1\\y=31[/tex]

Now in next part of question it ask us to check each ordered pair.

Let us plug each [tex]x[/tex] value and [tex]y[/tex] value in the function [tex]y=-3x-5[/tex]

[tex]plug\ (1,-8)\\-8=-3(1)-5\\-8=-3-5\\-8=-8\\\\plug(-5,0)\\0=-3(-5)-5\\0=15-5\\0\neq10\\\\plug\ (-2,1)\\1=-3(-2)-5\\1=6-5\\1=1\\\\plug\ (-1,-2)\\-2=-3(-1)-5\\-2=3-5\\-2=-2\\[/tex]

we can see ordered pair [tex](1,8),(-2,1)and(-1,-2)[/tex] true for function [tex]y=-3x-5[/tex]

Answer:

Hence Proved AB = DF

Step-by-step explanation:

In the Figure:

Given;

CD = EF

AB = CE

We need to prove AB = DF

Solution:

CD = EF    ⇒ (Given)

Now Adding both side by DE we get;

CD + DE = EF + DE   ⇒by the (Addition) Property of Equality.

CE=CD + DE and DF = EF + DE ⇒(Segment Addition)

Now we know that if [tex]a=b \ and \ b =c \ so \ a=c[/tex]

CE = DF           ⇒by the (transitive) Property of Equality.

Now Given:

AB = CE

CE = DF

Now we know that if [tex]a=b \ and \ b =c \ so \ a=c[/tex]

AB  = DF    ⇒by the (Transitive) Property of Equality)

The correct options to fill in the gaps are:

From the diagram given, we have that;

We are to show that the segment AB is congruent to DF

Also from the diagram

Similarly, given that:

AB = CE and CE = DF implies AB = DF by the Transitive Property of Equality.

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Answer:

[tex]P=4x\sqrt{26}\ units[/tex]

Step-by-step explanation:

we know that

The sides of a rhombus are all congruent and the diagonals are perpendicular bisectors of each other

so

Applying the Pythagorean Theorem

[tex]c^2=a^2+b^2[/tex]

where

c is the length side of the rhombus      

a and b are the semi-diagonals

we have

[tex]a=2x/2=x\ units\\b=10x/2=5x\ units[/tex]

substitute the values

[tex]c^2=x^2+(5x)^2[/tex]

[tex]c^2=26x^2[/tex]

[tex]c=x\sqrt{26}\ units[/tex]

To find out the perimeter of the rhombus multiply the length side by 4

[tex]P=(4)(x\sqrt{26})[/tex]

[tex]P=4x\sqrt{26}\ units[/tex]

Answer:

1/8

Step-by-step explanation:

1 chance of of 4 cards. * because since she draws 4 times you do 4+4 = 8.

Answer:

968 ways

Step-by-step explanation:

This is a question of permutation and combination.

Each equation can have two different answers.

Thus the total number of cases will be (for 10 questions) :

[tex]2*2*2*2*.....10times=2^{10}[/tex] cases.

Now to find the number of ways to at least answer 3 questions False will be total minus the number of question with at most 2 False answers.

Total ways (at most 2 answers false) = [tex]1+10_C_1+10_C_2[/tex] ;

∴

The number of ways in which at least 3 have False as the answer is :

[tex]2^{10}-(1+10_C_1+10_C_2)\\=968[/tex] WAYS.

Answer:

(1,12) and (2,12).

(- 5,1) and (- 5, 2).

Step-by-step explanation:

y = 12 is a line that is parallel to the x-axis and at a constant distance of 12 units above the x-axis. Therefore, the points on the line will have any x-coordinate but have a constant y-coordinate i.e. 12.

Therefore, the two points on the line y = 12 can be (1,12) and (2,12).  

x = - 5 is a line that is parallel to the y-axis and at a constant distance of 5 units left of the y-axis. Therefore, the points on the line will have any y-coordinate but have a constant x-coordinate i.e. - 5.

Therefore, the two points on the line x = - 5 can be (- 5,1) and (- 5, 2).  (Answer)

Answer:

The coordinates of the mid-point are :

[tex](\frac{1}{2}, \frac{5}{2})[/tex]

Step-by-step explanation:

We know that, the coordinates of the mid-point (x, y) of a line segment joining the points (x₁, y₁) and (x₂, y₂) is given by

[tex](x, y) = (\frac{x_{1} +x_{2} }{2},\frac{y_{1}+y_{2} }{2} )[/tex]

Now, we have the given points as (3, 5) and (-2, 0).

By using the above formula, coordinates of the mid-point (x, y) of the line-segment joining the points (3, 5) and (-2, 0) is given by,

[tex]x = \frac{3+(-2)}{2} = \frac{3-2}{2} = \frac{1}{2}[/tex]

[tex]y = \frac{5+0}{2} = \frac{5}{2}[/tex]

∴ coordinates of the mid-point of the line-segment joining the points (3,5) and (-2,0) is [tex](\frac{1}{2}, \frac{5}{2})[/tex].

Answer: 14ft > 41/2

Step-by-step explanation:

Your answer is:

14ft > 41/2yd

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Answer:

Theo Should use 1.3 cups of Sugar to make 24 cookies.

Step-by-step explanation:

Given;

Number of cookies required by recipe = 36 cookies

Number of cookies Theo wants to use = 24 cookies

Number of cups sugar recipe requires = 2 cups

We need to find Number of cups sugar Theo should use to make cookie according to recipe.

Now,

For 36 cookies = 2 cups of sugar

So For 24 cookies = Number of cups of sugar required for 24 cookies.

By Using Cross Multiplication we get;

Number of cups of sugar required for 24 cookies = [tex]\frac{24\times2}{36}= 1.33\ cups[/tex]

Hence Theo Should use 1.3 cups of Sugar to make 24 cookies.

Answer:

(∞,-5)

Step-by-step explanation:

For a line to have a slope of 0, it has to be horizontal.

Any point that has a y value of -5 could form a horizontal line along with (0,-5).

Answer:

They both have 3 up ig

Step-by-step explanation: