Alex is building a rectangular fence around his yard. The total perimeter of the fence is 68 feet and the area of the yard is 240 square feet. Based on this information, what are the dimensions of the fence?

Using the order of operations, none of the provided expressions match with the given definitions (18, 44, 75, 13). It seems there's a mistake in the definitions.

This question requires you to use the order of operations, sometimes remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

It appears there may be a mistake in the definitions, as none of the terms match with their respective definitions.

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$22.20

multiply the amount of candles bought by the cost of each candle

= 60 × $0.37 = $22.20

The answer is 15 cause you start at 15 and go from there

15 is the correct answer to the fill-in-the-blanks in this problem.

The numbers 1.703, 1.037, 1.37, 1.073 ordered from least to greatest are 1.037, 1.073, 1.37, 1.703. This is done by comparing digits from the thousandths place and onwards.

To arrange the numbers 1.703, 1.037, 1.37, 1.073 in order from least to greatest, we should first compare them to the thousandth place. If the thousandths are equal, we then move to the hundredths place, and so on until the numbers can be distinguished. Let's apply this to your example:

This means the order from least to greatest is 1.037, 1.073, 1.37, 1.703.

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endpoints of an interval

Answer:

a) Yes, each element in the range has only one domain value.

Step-by-step explanation:

To be a function a relation between two sets must follow at least one basic condition.

* All elements of the Domain must have its counterpart into the Range.

The question asks if an inverse function of this given one is still a function. Let's check it below.

That's why it's

a) Yes, each element in the range has only one domain value.

Answer:

Option C is correct

(6, 5)  ordered pair comes from the table

Step-by-step explanation:

For this, we must indicate which of the ordered pairs shown belongs to the given table.

x y

3 4

4 4

5 2

6 5

The ordered pair is in the form of (x, y).

Option A:

(x, y) = (4, 3)

This pair is not found in the given table.

Option B:

(x, y) = (5, 6)

This pair is not found in the given table.

Option C

(x, y) = (6, 5)

This pair is  found in the last row of the given table.

Option D:

(x, y) = (2, 5)

This pair is not found in the given table.

Therefore,  (6, 5)  ordered pair comes from the table

[tex]|x-5|-2=10\ \ \ \ |+2\\\\|x-5|=12\iff x-5=12\ \vee\ x-5=-12\ \ \ \ |+5\\\\x=17\ \vee\ x=-7[/tex]

The answer is choice D.

First, find the slope (m) using the formula: [tex]m=\frac{y_{2}- y_{1} }{x_{2} - x_{1} }[/tex]

[tex]m=\frac{11 - 6}{-1 - 0}[/tex] = [tex]m=\frac{5}{-1}[/tex] = -5

Next, plug in the slope (m) and ONE point (x₁, y₁) into the Point-Slope equation:

y - y₁ = m(x - x₁)

y - 6 = -5(x - 0)

y - 6 = -5x

   y = -5x + 6

Answer: D

With assumptions about it being a *right* triangle and a and b being the legs, the answer is:  

B) 35.5°

Answer:

A. [tex]x=\frac{11}{c}[/tex]

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You have the following equation given above:

[tex]cx-4=7[/tex]

2. The negative four will pass as a positive four to the rigth member.

3. Te sum of 7 and 4 will be divided by [tex]c[/tex], as following:

[tex]cx=7+4\\cx=11\\x=\frac{11}{c}[/tex]

Answer:

I think that the answer is A. x=11/c

Step-by-step explanation:

For the x intercept, also known as the zero, we set y=0 and solve for x.

-4x = 20

x = 20/(-4)

x = -5

The x axis is the line y=0 so the y coordinate of an x intercept is always 0.

Answer: (-5, 0)

To find the x-intercept of any equation, set y=0 and solve for x. For the given equation −4x+5y=20, setting y=0 results in the x coordinate -5, making the x-intercept of the line (-5,0).

The x-intercept of any equation is the point where the line crosses the x-axis. At this point, the y-value is always zero because it lies on the x-axis. In the case of the equation −4x+5y=20, we can find the x-intercept by setting y=0 and solving for x.

So, substituting y=0 into the equation, we find:
-4x + 5(0) = 20
Simplifying, this becomes -4x = 20. Dividing both sides by -4, we get x = -5.

So, the x-intercept of the line represented by the equation -4x +5y = 20 is (-5,0).

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Do do this, you use the distance formula: time * speed = distance

So you do, 4.9 * 15.5 = 75.95

So, the rover will travel 75.95 centimeters in 15.5 seconds at a speed of 4.9 cm./s

The correct answer would be 75.95 centimeters

Answer:

7984

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1- Solve the substraction in the parenthesis and square it:

[tex]\frac{1}{3}+6(\frac{1}{2})^2\\\frac{1}{3}+6(\frac{1}{4})[/tex]

 2- Apply the distributive property and solve the addition:

[tex]\frac{1}{3}+\frac{6}{4}\=\frac{11}{6}[/tex]

The answer is: [tex]\frac{11}{6}[/tex]

[tex]\frac{1}{3} +6(\frac{2}{3} - \frac{1}{6})^2[/tex]

first we simplify the parenthesis

To simplify the fractions inside the parenthesis , we make the denominators same

[tex]\frac{1}{3} +6(\frac{2*2}{3*2} - \frac{1}{6})^2[/tex]

[tex]\frac{1}{3} +6(\frac{4}{6} - \frac{1}{6})^2[/tex]

[tex]\frac{1}{3} +6(\frac{3}{6})^2[/tex]

Simplify the fraction 3/6

[tex]\frac{1}{3} +6(\frac{1}{2})^2[/tex]

Now we square 1/2

[tex]\frac{1}{3} +6(\frac{1}{4})[/tex]

Multiply 6 inside the parenthesis

[tex]\frac{1}{3} +\frac{6}{4}[/tex]

[tex]\frac{1}{3} +\frac{3}{2}[/tex]

Now make the denominators same to add fractions

[tex]\frac{1*2}{3*2} +\frac{3*3}{2*3}[/tex]

[tex]\frac{2}{6} +\frac{9}{6}[/tex]

[tex]\frac{11}{6}[/tex]

It will take 35 minutes to peel 14 potatoes

Hope this helps :)

Answer:

It will take 35 minutes to peel 14 potatoes

Step-by-step explanation: Brainly?

answer : 5

For example

The quadratic equation has 1 tuning point. The degree of quadratic polynomial is 2

Cubic polynomial can have 2 turning points. The degree of cubic polynomial is 3

From this we conclude that if a polynomial has 'n' turning points, then the least possible degree is n+1

the graph of a polynomial has 4  turning points, so the least possible degree is

4+1 = 5

5 is the least possible degree of this polynomial

The least possible degree of a polynomial that has four turning points is 5.

In mathematics, specifically in polynomial function, the degree of a polynomial can be linked to its turning points. The turning point of a function is the high point (peak) or low point (trough) of a graph. The degree of the polynomial is one more than the maximum number of turning points. So, if a graph of a polynomial has 4 turning points, the least possible degree of that polynomial would be 5. Therefore, the correct answer is (c) 5.

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Answer: She will need 142 ft of curtain.

Step-by-step explanation:

Hi, first we have to convert the length of the curtain from inches to foot.

Since 1 inch = 1/12ft  

For 24 inches:

24 inches x 1/12 = 2 ft

Since the company wants to make 71 curtains, we have to multiply the length of each curtain (2ft) by 71.

2ft x 71 = 142ft

She will need 142 ft of curtain.

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

Answer:

Step-by-step explanation:

Think of of this as a function in which the number of pounds is a function of the number of hours. Each piece of given information is a point. Each point has the format (x, y) = (hours, pounds), where hours is x and is the independent variable, and pounds is y and is the dependent variable.

You have two points (4.5, 1445) and (7, 2320). First find the slope of the line that passes through those two points. Use the slope formula,

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

Then using the slope and the point-slope equation of a line, find the equation of the line. The point-slope equation of a line is

y - y1 = m(x - x1),

where m = slope, and the point is (x1, y1).

Try it. If you have questions or need extra help, just comment.

Hello!

Sofia measures the length of her car as 16 feet.

What is the greatest possible error?

____ feet

What is the margin of error?

_____ to ______ feet

Answers:

A. 0.5 feet

B. 15.5 to 16.5

Sofia measures the length of her car as 16 feet So she measures the car to the nearest foot.

The rounding error can be +/- 0.5 feet

The greatest possible error is 0.5 feet

The margin of error is 15.5 to 16.5 feet

We have the equations:

x + 3 = 15 and 3y - 1 = 2x - 4

x + 3 = 15    |-3

x = 12

Put the value of x to the second equation:

3y - 1 = 2(12) - 4

3y - 1 = 24 - 4

3y - 1 = 20     |+1

3y = 21    |:3

y = 7

1 pound = 16 ounces.

Divide by the cost by the number of ounces:

$12 / 16 ounces = 0.75 per ounce.

The cost per ounce is $0.75  (75 cents per ounce)

According to the table given:

Total number of students are = 20

Total number of boys are = 13 , out of which, 3 will be clowns, 2 will perform acrobats and 8 will be elephant trainers.

So, we have to find the the probability that the person(a boy) is a clown. The probability will be = [tex]\frac{3}{13}=0.230[/tex]

Hence, answer is 0.230

The probability the person is a clown, given they are a boy is:

                            0.23077

Let A denote the event that the person is a boy.

Let B denote the event that the person is a clown.

Then  A∩B denote the event that the person is a boy and is a clown.

Let P denote the probability of an event.

Hence, from the table that is given to us we get:

  P(A)=0.65

  P(A∩B)=0.15

We are asked to find the  probability the person is a clown, given they are a boy i.e. we are asked to find: P(B|A)

We know that:

    [tex]P(B|A)=\dfrac{P(A\bigcap B)}{P(A)}[/tex]

Hence, from the given values we have:

     [tex]P(B|A)=\dfrac{0.15}{0.65}\\\\\\P(B|A)=\dfrac{15}{65}\\\\\\P(B|A)=\dfrac{3}{13}=0.23077[/tex]

         Hence, the probability is:

                  0.23077

3x = 27 is your answer

The addition of equality states that "if you add on one side, you must add the same number to the other side."

This is true, for you add 1 to each side (doing the opposite of PEMDAS to isolate the x)

C is your answer

Hope this helps

Answer:

Option C is right answer.

Step-by-step explanation:

Given two equations as

2y + 4x = 18

2y – 3x = 4

We have to use substitution method.

From first equation find the value of y.

2y = 18-4x

Or y = 9-2x

Substitute this in II equation.

2(9-2x)-3x =4

18-4x-3x =4

-7x = 4-18 = -14

Divide by -7

x =2

Since y = 9-2x, substitute x=2 to get y

y = 9-2(2) = 5

Answer is (2,5)

To verify:

Substitute (2,5) in the given two equations to check.

2(5)+4(2) = 18 is right

2(5)-3(2) = 4 is also right.

Hence solution is (2,5)

Answer:

C. (2,5)

Step-by-step explanation:

Answer:

The answer is A 250/yr

Step-by-step explanation:

Answer:

The correct option is the last one.

Step-by-step explanation:

To transform the graph of [tex]y = x ^ 2[/tex] into [tex]y = -2(x - 2) ^ 2 + 2[/tex] the following steps are fulfilled:

1) Move the graph 2 units to the right:

Let [tex]y = f (x-2)[/tex] then [tex]y =(x-2) ^ 2[/tex] Notice that the cut point has been moved to x = 2.

2) Reflect on the x axis:

To reflect a graph on the x-axis we do [tex]y = -f(x)[/tex] Then [tex]f (x) = -(x-2) ^ 2[/tex]

3) Stretch according to factor 2.

For this we do [tex]y = 2f(x)[/tex]

Then we have [tex]f(x) = -2 (x-2) ^ 2[/tex]

4) Move up the graph in two units:

We do [tex]y = f(x) +2[/tex]

Then [tex]y = -2(x-2) ^ 2 +2.[/tex]

These steps coincide with those listed in the last option. Therefore the correct option is the last one.

"Translate 2 units on the right, reflect on the x-axis, stretch according to the factor 2 and translate 2 units"

To transform the graph from y • x^2 to y = -2(x - 2)^2 + 2, you need to translate 2 units to the right, reflect across the x-axis, stretch by the factor 2, and translate up 2 units.

The correct steps to transform the graph of y•x^2 to y = -2(x - 2)^2 + 2 are:

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Answer:

a)   Number of laundry he can do with this box  = 78 laundries.

b)   Price he paying for each load =  0.256 $

Explanation:

 Total scoop contained in detergent box = 195 scoops.

 Scoops used by each load of laundry = [tex]2\frac{1}{2} =\frac{2*2+1}{2} =\frac{5}{2}[/tex] scoops = 2.5 scoops

 Number of laundry he can do with this box = 195/2.5 = 78 laundries.

 Price of detergent box = 19.99 $

 Price he paying for each load = Total price/ Number of loads

                                                   = 19.99/78

                                                   = 0.256 $