Janice is building a fence around a portion of her rectangular yard. The length of yard she will enclose is x and the width is 2 x^2 − 99x + 6 where the measurements are in feet. If the length of the enclosed yard is 50 feet and the cost of fencing is $13 per foot, how much will Janice need to spend on fencing? Janice will need to spend $ on fencing.

Answer:

1

Step-by-step explanation:

6+(-2)3-(-4+1)

6+(-8)-(-4+1)

6+(-8)-(-3)

(-2)-(-3)

=1

Answer: i think is A or B

Step-by-step explanation:

[tex]y=\frac{2}{3} x+5[/tex]

Answer:

I know it is not A because I just tried the quiz but the other answer said either A or B so I am thinking it is B. I am very Sorry if I am wrong.

Price of one ride is equals to $3 for the given system of equations.

" System of equations is a finite set of equations for which we find the common solution."

According to the question,

x represents the number of rides

y represents the number of games

Two situations are given for which we need to find the system of equations .

Situation 1: Zack went for 3 rides and played 5 games and paid $14, which represents the equation:

3x +5y = 14

⇒ 5y = 14 - 3x

⇒ y = ( 14 - 3x) / 5

Situation 2: Marissa went for 4 rides and played 4 games and paid $16, which represents the equation:

4x +4y = 16

Substitute the value y in situation 2 we get,

4x + 4[( 14 - 3x) / 5] =16

⇒ x  = 3

Hence, price of one ride is equals to $3 for the given system of equations.

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The unit form of 9/4 is 1/4 + 1/4+ 1/4+ 1/4+ 1/4+ 1/4+ 1/4+ 1/4+ 1/4.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, We have to express 9 divided by 4 in unit form.

We know a unit fraction is when we have 1 in the numerator.

So, 9/4 = 9×(1/4).

= 1/4 + 1/4+ 1/4+ 1/4+ 1/4+ 1/4+ 1/4+ 1/4+ 1/4.

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Answer:

its four times larger

Step-by-step explanation:got it right on the test

Answer:

AA

Step-by-step explanation:

If the radius is doubled, then the area of one base of a cylinder  quadrupled and the equation is:

[tex]\boxed{A_{b1}=4\pi r^2}[/tex]

The surface area of a solid is the total area of its outer surface. For a cylinder whose radius of its circular base is [tex]r[/tex], and height [tex]h[/tex], then the surface area (S) can be calculated as:

[tex]S=\text{Surface area of base 1}+\text{Surface area of base 2}+\text{Surface area of the side} \\ \\ S=A_{b1}+A_{b2}+A{s} \\ \\ S=\pi r^{2}+\pi r^{2}+2\pi rh \\ \\ S=2\pi r^{2}+2\pi rh \\ \\ \\ Because: \\ \\ \text{Surface area of base 1}=\text{Surface area of base 2} \\ \\ \\ Where: \\ \\ A_{b1}:\text{Surface area of base 1} \\ \\ A_{b2}:\text{Surface area of base 2} \\ \\ A_{s}:\text{Surface area of the side}[/tex]

So, if the radius is doubled then the area of one base is:

[tex]A_{b1}=\pi (2r)^{2} \\ \\ A_{b1}=\pi (4r^2) \\ \\ \boxed{A_{b1}=4\pi r^2}[/tex]

The point on the graph where N ' will be located after the reflection would be C. (-2, -3).

To find the image of point N (2, -3) after it is reflected across the y-axis, you need to change the sign of its x-coordinate while keeping the y-coordinate the same.

The reflection across the y-axis essentially involves switching the point's position horizontally.

So, for point N (2, -3), its image N' will have coordinates (-2, -3).

Therefore, the point that represents N' after the reflection across the y-axis is (-2, -3) on the graph.

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Answer:

y = -3, x = 9

Step-by-step explanation:

step 1) subtract 4y from both sides.

x + 4y - 4y = -3 - 4y

step 2) simplify

x = -3 - 4y

step 3) substitute x = -3 - 4y

-3 - 4y + 7y = -12

step 4)  Add similar elements: -4y + 7y = 3y

-3 - 4y + 7y = -12

step 5) Add 3 to both sides

-3 + 3y + 3 = -12 + 3

step 6) Simplify

3y = -9

step 7) Divide both sides by 3

3y/3 = -9/3

step 8) you now know y = -3

step 9) substitute y = -3 in for x = -3 - 4y

x = -3 - 4(-3)

step 10) negative times a negative equals a positive

x = -3 + 12

step 11) add -3 by 12 to get x = 9

step 12) you now have found the answer x = -3 and y = 9

The question involves solving a system of linear equations using the elimination method, resulting in the solution [tex]\(x = 9, y = -3\).[/tex]

The problem provided is a system of linear equations. Here's how to solve the system:

x + 4y = -3

x + 7y = -12

Subtract the first equation from the second:

[tex]\((x + 7y) - (x + 4y) = -12 - (-3)\)[/tex]

[tex]\(3y = -9\)[/tex]

Now, solve for y:

[tex]\(y = -3\)[/tex]

Substitute y back into the first equation to find x:

[tex]\(x + 4(-3) = -3\)[/tex]

[tex]\(x - 12 = -3\)[/tex]

[tex]\(x = 9\)[/tex]

So the solution is [tex]\(x = 9, y = -3\)[/tex].

The procedure used is known as the elimination method, which is a technique to solve simultaneous linear equations.

Answer:

I think it is the second one

Answer: Quotient means when you divided a number by another number.

Our first number will be 48 and also in this problem lets have that second "number" be x.

So 48/x is the quotient.

The quotient of 48 and x represents the mathematical operation of 48 divided by x, where x cannot equal 0.

The phrase 'the quotient of 48 and x' represents a mathematical operation which refers to dividing 48 by a certain number (x). In mathematical terms, it would be written as 48/x. For example, if x were to equal 6, the quotient of 48 and 6 would be 8, since 48 divided by 6 equals 8. It is crucial to remember, however, that x cannot be 0, as division by zero is undefined in mathematics.

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Answer:

A

Step-by-step explanation:

Answer:

x-intercepts (4,0) and (-2,0)

Step-by-step explanation:

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

f(x)=0=y

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

x-4=0 or x+2=0

x=4 or x=-2

x-intercepts (4,0) and (-2,0)

Step-by-step explanation:

Given

Radius (r) = 5 units

π = 3.14

Now

Circumference

= 2πr

= 2 * 3.14 * 5

= 31.4 units

Answer:

31.4 units

Step-by-step explanation:

Circumference of a circle = 2 # r

Where pi(#) = 3.14

r = radius = 5 units

Circumference = 2 × 3.14 × 5

Circumference = 10 × 3.14

Circumference = 31.4 units

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Answer:

There is a 5% difference

Step-by-step explanation:

80%-75%=5%

To find the 20th term in this sequence, we can simply keep on adding the common difference all the way until we get up to the 20th term.

The common difference is the number that we are adding or subtracting to reach the next term in the sequence.

Notice that the difference between 15 and 12 is 3.

In other words, 12 + 3 = 15.

That 3 that we are adding is our common difference.

So we know that our first term is 12.

Now we can continue the sequence.

12 ⇒ 1st term

15 ⇒ 2nd term

18 ⇒ 3rd term

21 ⇒ 4th term

24 ⇒ 5th term

27 ⇒ 6th term

30 ⇒ 7th term

33 ⇒ 8th term

36 ⇒ 9th term

39 ⇒ 10th term

42 ⇒ 11th term

45 ⇒ 12th term

48 ⇒ 13th term

51 ⇒ 14th term

54 ⇒ 15th term

57 ⇒ 16th term

60 ⇒ 17th term

63 ⇒ 18th term

66 ⇒ 19th term

69 ⇒ 20th term

This means that the 20th term of this arithemtic sequence is 69.

The ratio of doors to tires on each of Jack's truck is 1:2.

Each truck has 2 doors and 4 tires.

So, the ratio of doors to tires is 2:4.

Simplifying this ratio gives us 1:2.

Answer:

-9.7

Step-by-step explanation:

we can do the opposite of everything that was done to get the resulting difference

so......

-8.4+6.4=-2

-2x19.4=-38.8

-38.8/4=-9.7

and to double check.......

-9.7x4=-38.8

-38.8/19.4=-2

-2-6.4=-8.4

Answer:

Yes

Step-by-step explanation:

Hi, the expression is correct.

Since she wants to price (p) her used books with a 50% gross profit, to do this she has to multiply the cost of the books (c ) by a percent increase (1 + %/100).

So, for a 50% gross

p = (1 + 50/100) c = (1+ 0.5 )c  

p= 1.5c

Feel free to ask for more if needed or if you did not understand something.

Option d. There are 8,568 possible starting lineups

The number of girls n, is given as 18 and the number of players, r is 5

To find the number of possible starting lineups from 18 girls when selecting 5 players, we can use the combination formula

[tex]C(n, r) = \dfrac{n!}{r! * (n - r)!}[/tex]

Substitute the values for n and r into the equation

[tex]C(18, 5) = \dfrac{18!}{5! * (18 - 5)!}[/tex]

[tex]C(18, 5) = \dfrac{18!}{5! * 13!}[/tex]

Expand

[tex]C(18, 5) = \dfrac{18 * 17 * 16 * 15 * 14 * 13!}{5! * 13!}[/tex]

[tex]C(18, 5) = \dfrac{18 * 17 * 16 * 15 * 14}{5!}[/tex]

[tex]C(18, 5) = \dfrac{18 * 17 * 16 * 15 * 14}{5 * 4 * 3 * 2 * 1}[/tex]

C(18, 5) = 1028160/120

C(18, 5) = 8568

Answer:

So, ADC = 124/2 => ⛰ ADC = 62°

Step-by-step explanation:

If ABC i.e angle of centra = 124°

If ABC i.e angle of centra = 124°Then, we know that angle at any where of Circle is 1/2 if central angle

Thank You ☺️ ☺️.

Angle ABC is 124 degrees.  That makes a linear pair with angle DBC, which must be the supplement 56 degrees.

That's the unique angle in an isosceles triangle.  The others must be (180-56)/2=62.

Answer:    62°

Answer:

You end up at Wcdonalds

Step-by-step explanation:

The reason why you would end up at Wcdonalds is pretty simple, but first we would have to answer why the character is starting on a bench. In most stories or games a story might start with a character on a bench for multiple reasons; the character was simply napping there, or was simply sitting down for a sip of coffee, but if a story started off as such it would't grab anyone's attention. So what does that imply, simple, the character is there because he/she got mugged and then got knocked out and was placed on the bench so the author could create a feeling of suspense in the story. At this point you might be wondering, what the heck am I talking about, what does this have to do with Wcdonalds and not "Mcdonalds" - the answer is simple. After the character (animal, human, alien, whatever) wakes up they supposedly move 6 units right and 3 units up, what does that imply, it suggest that the character is inputting a famous cheat code! And what does one do after entering the famous cheat code, Mr.GameAndWatchcode00021190, they teleport to Mcdonalds! Unluckily though, the consequences of being knocked out prior to the cheat code input has made the character see the M in Mcdonalds upside down, a W!

Anyways that's the answer to your question - You're Welcome

Answer:

See below.

Step-by-step explanation:

The domain is the set of numbers that can be substituted into the x-variable.

In a polynomial function of any degree, the domain is the set of real numbers.

If a function has x in the denominator or x in a square root, you must see which values of x make the function undefined, and exclude those values from the domain.

Answer:

The answer is 37.5%

Answer:

37.5%

Step-by-step explanation:

add 15+20 =40     15/40 *100(we use 100 because  a percent is always out of 100.) 0.375*100. = 37.5

Given:

ΔABC [tex]\sim[/tex] ΔDEF

To find:

The length of median CP

Solution:

In ΔABC,

AP = 12, BP = 12 and PC = 3x - 12

In ΔDEF,

DQ = 16, QE = 16 and FQ = 2x + 8

If two triangles are similar, then their median is proportional to the corresponding sides.

[tex]$\Rightarrow \frac{AP}{DQ} =\frac{PC}{FQ}[/tex]

[tex]$\Rightarrow \frac{12}{16} =\frac{3x-12}{2x+8}[/tex]

Do cross multiplication.

[tex]$\Rightarrow 12(2x+8)=16(3x-12)[/tex]

[tex]$\Rightarrow 24x+96=48x-192[/tex]

Add 192 on both sides.

[tex]$\Rightarrow 24x+96+192=48x-192+192[/tex]

[tex]$\Rightarrow 24x+288=48x[/tex]

Subtract 24x from both sides.

[tex]$\Rightarrow 24x+288- 24x=48x- 24x[/tex]

[tex]$\Rightarrow 288=24x[/tex]

Divide by 24 on both sides.

⇒ 12 = x

Substitute x = 12 in CP.

CP = 3(12) - 12

     = 36 - 12

     = 24

The length of median CP is 24.

Answer:

21 questions

Step-by-step explanation:

First find the unit rate by dividing question number by hours  

35/5=7

So he makes 7 questions per hour

Multiply 7 by 3

7*3=21

So, he makes 21 questions in 3 hours

Hope this helps! :)

11.6

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12.24 inches

you would do 10.2 x 1.2

Answer: 12.24

Step-by-step explanation: