Find the definition for Rectangle

The time taken for Mel to finish mowing the yard if they have 80 minutes is 53 minutes.

It should be noted that this represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

Given that,

Michael mows = 1/3 of the yards

Mel will cut: 1 - 1/3 = 2/3

Therefore, the time taken for Mel to mow the yard will be:

= 80 × 2/3

= 53 minutes

Learn more about fractions on:

https://brainly.com/question/18033149

#SPJ1

After Michael mows ⅓ of the yard, Write a fraction division problem that you can use to find out how long it will take Mel to finish mowing the yard if they have 80 minutes.

Sarah use for each cup of water is 3/8

Now, According to the question:

What is a fraction in math?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

She uses 1/4 cup of grape juice for every 2/3 cup of water.

Let Sarah use for each cup of water be x.

To construct table of grape juice and cup of water.

Grape juice                                     Cup of water

   1/4                                                          2/3

     x                                                             1

Now, Solving the fractions

\(\frac{1}{4}/x\)     =    \(\frac{2}{3}/1\)

8x =  3

x = 3/8 cup

Learn more about Fraction at:

https://brainly.com/question/1301963

#SPJ4

The result of an average of more than 100% in a survey of tenants on cleaning chores in shared apartments is likely due to social desirability bias.

The average tenant response of more than 100% in a study about cleaning duties in shared apartments is probably the product of social desirability bias. Social desirability bias occurs when respondents give answers that they think are socially acceptable or desirable, rather than their true opinions or behavior.

In this case, tenants may have overstated their contribution to cleaning the apartment, in order to appear more helpful or responsible, leading to an average percentage higher than 100%.

To learn more about average here:

https://brainly.com/question/24057012

#SPJ4

There were 4 speed bumps installed on the road leading into the house development.

What is the formula of speed when time and distance have given?

The formula is speed = distance/time

Here given,

The length of the road is 3/4 miles or 12/16 miles and the distance between each speed bump is 3/16 miles.

Now we want to obtain the number of speed bumps,

So, Number of speed bumps = (Total distance of road) / (Distance between each speed bump)

Number of speed bumps = \( \frac{ \frac{12}{16} }{ \frac{3}{16} } \)

Number of speed bumps = \( \frac{12}{16} \times \frac{16}{3} \)

Number of speed bumps = 4

Therefore, there were 4 speed bumps installed on the road leading into the house development.

Learn more about speed, distance and time here,

https://brainly.com/question/26046491

#SPJ1

The given problem is asking for a test to see if the sample mean is significantly different from 85 at the 0.05 level. To solve the problem, we can use the following formula:$$t = \frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}}}$$where$\bar{x}$ = sample mean$\mu$ = population mean$s$ = sample standard deviation$n

$ = sample sizeTo calculate the t-value, we need to calculate the sample mean and the sample standard deviation. The sample mean is calculated as follows:$$\bar{x} = \frac{\sum_{i=1}^{n} x_i}{n}$$where $x_i$ is the score of the $i$th student and $n$ is the sample size.

Using the given data, we get:$$\bar

{x} = \frac{78+89+67+85+90+83+81+79}{8}

= 81.125$$The sample standard deviation is calculated as follows:$$

s = \sqrt{\frac{\sum_{i=1}^{n} (x_i - \bar{x})^2}{n-1}}$$Using the given data, we get:$$

s = \sqrt{\frac{(78-81.125)^2+(89-81.125)^2+(67-81.125)^2+(85-81.125)^2+(90-81.125)^2+(83-81.125)^2+(81-81.125)^2+(79-81.125)^2}{8-1}}

= 7.791$$Now we can calculate the t-value as follows:$$

t = \frac{\bar{x} - \mu}{\frac{s}

To know more about problem visit:

https://brainly.com/question/31816242

#SPJ11

Answer:

It's called the "y-intercept", and it's the value of the point where the line intersects the y-axis. For this line, the y-intercept is "negative 1." You can find the y-intercept by looking at the graph and seeing which point crosses the y-axis. This point will always have an x coordinate of zero.

Step-by-step explanation:

Answer: By looking at where the line passes on the y-axis.

Step-by-step explanation:

If the line passes on -2 on the y axis, then the y intercept is -2. Now in a linear equation, the intercept would be b in the equation mx+b. So if the equation was 2x +9, then the y intercept would be 9.

Hope this helps!!

In solving for x, the first step would be to isolate the variable x in one side of the equation.

The first step to solve for x in the equation -3 = x + 5 is to isolate the variable (x) on one side of the equation.

Looking at the equation, this can be done by subtracting 5 from both sides of the equation. This would look like :

-3 - 5 = x + 5 - 5

x = - 3 - 5

We can then solve for x by completing the equation:

x = - 3 - 5

x = - 8

Find out more on solving for x at https://brainly.com/question/24378722.

The full question is:

A model is represented as - 3 = x + 5. What is the first step to solve for x?

There are 87 fewer fish in small school compared to big school.

We solve addition and subtraction problems by focusing on either the action (joining or separating) or the relationship in the problem. Many problems involve monetary relationships.

This week, we looked at COMPARISON problems, which involve determining the similarities and differences between sets.

Difference Unknown: One type of compare problem entails determining how many more items are in one set than another. James, for example, has six mice. Joy has eleven mice. Joy has how many more mice than James?

Given,

Number of fish in small school = 25

Number of fish in big school =  112

then,

Number of fewer fish does small school have 112 -25 = 87

Thus, there are 87 fewer fish in school than big school.

To learn more about comparisons refer here

https://brainly.com/question/2983944

#SPJ4

Answer:

18

Step-by-step explanation:

Plug in the values.

3(4) - 2(-3)

12 - - 6

12 + 6

= 18

Answer:

18

Step-by-step explanation:

\(3x - 2y \\ = 3 \times 4 - 2 \times (-3) \\ = 12 + 6 \\ = 18\)

Answer:

this can be the answer

because in given question there is no relation between equations

Answer:

C = pi d

C = 3.14 × 70

C = 219.8 inches

A = pi r²

A = 3.14 × 1,225

A = 3,846.5

Answer:

d=(x^2-x^1)+(y^2-y^1)^2

Answer:

\(\mathfrak{Distance \: between \: two \:points}\)

The distance between two points \(A(x_1,y_1)\) and \(B(x_2,y_2)\) is given by the formula,

\(AB= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2 }\)

Proof: Let X'OX and YOY' be the x-axis and y-axis respectively. Then, O is the origin.

Let\(A(x_1,y_1) \) and \(B(x_2,y_2)\)

be the given points.

Draw AL perpendicular to OX, BM perpendicular to OX and AN perpendicular to BM

Now,\(OL=x_1,OM=x_2,AL=y_1 \: and \: BM=y_2\)

\( \therefore{AN=LM=(OM-OL)=(x_2-x_1)}\)

\( \: \: \: BN=(BM-NM)=(BM-AL)=(y_2-y_1)\)

In right angled triangle \( \triangle \: ANB\),by Pythagorean theorem,

We have,

\( \: \: \: AB^2=AN^2+BN^2\)

\(or,AB^2=(x_2-x_1)^2+(y_2-y_1)^2\)

\( \therefore \: AB= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \)

Thus ,the distance between the points A(x_1,y_1) and B(x_2,y_2) is given by,

\( \implies \boxed{AB= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }\)

Hi there!

\(\large\boxed{\text{B. }23^o}\)

According to a circle theorem:

m∠1 = 1/2(a - b) where a and b are angles.

Thus:

m∠1 = 1/2(94 - 48)

Simplify:

m∠1 = 1/2(46) = 23°. The answer is B.

The circumference of a circle is given by the following formula:

From this equation, we can solve for r by dividing both sides by 2π, like this:

By replacing 40π for c, we get:

Then, the radius of the circle equals 20

If the graph of an equation is a vertical line, we can say that there are infinitely many solutions because any y-value is a valid solution.

If the graph of an equation is a vertical line, this means that the equation has infinitely many solutions. The reason for this is that a vertical line intersects every point on the y-axis, which means that any value of y is a solution to the equation. For example, the equation x = 3 represents a vertical line that intersects the x-axis at x = 3. Any value of y is a solution to this equation because no matter what y-value you choose, the corresponding point will be on the line x = 3. Another example is the equation x = -2. This equation represents a vertical line that intersects the x-axis at x = -2, and again, any value of y is a solution to the equation.

To learn more about equation, visit:

https://brainly.com/question/2228446

#SPJ11

Answer:

Step-by-step explanation:

1-13.24

2-2.15

3-30.99

4-10.33

The function f(x) = 2x² + 3 is given. To determine the average rate of change of f on the interval [2, 2 + h],

we'll use the formula for average rate of change.

We can use the given function to calculate f(2) and f(2 + h).

Using the formula for average rate of change: Average Rate of Change = (f(2+h) - f(2))/h When h ≠ 0, we use the formula above.

Thus, we get: f(2) = 2(2)² + 3 = 11 and f(2 + h) = 2(2 + h)² + 3 = 2(4 + 4h + h²) + 3 = 8 + 8h + 2h² + 3 = 2h² + 8h + 11.

Substituting the values of f(2) and f(2 + h) into the formula above: Average Rate of Change = (f(2+h) - f(2))/h = [2h² + 8h + 11 - 11]/h = (2h² + 8h)/h = 2h + 8.

Hence, the average rate of change of f on the interval [2, 2 + h] is 2h + 8. The correct option is 2h + 8. This answer has a word count of 80.

For more information on Average Rate visit:

https://brainly.com/question/28739131

#SPJ11

For the system of inequalities that models the situation, we have that:

The system is given as follows:

The situation for this problem is modeled via a system of inequalities, for which the variables are given as follows:

He wants to buy at least 5 packages, hence:

x + y ≥ 5.

Small packs cost $5, and large packs cost $8. Scott wants to spend at most $50 on the trading cards, hence:

5x + 8y ≤ 50.

More can be learned about a system of inequalities at https://brainly.com/question/30962748

#SPJ1

Answer:

\(a:b = -17:1\)

Step-by-step explanation:

Given

\(\frac{a-3b}{a+2b} = \frac{4}{3}\)

Required

Find a:b

\(\frac{a-3b}{a+2b} = \frac{4}{3}\)

Cross Multiply

\(3(a-3b) = 4(a+2b)\)

Open brackets

\(3a - 9b = 4a + 8b\)

Collect Like Terms

\(3a - 4a = 8b+9b\)

\(-a = 17b\)

Divide through by -b

\(\frac{-a}{-b} = \frac{17b}{-b}\)

\(\frac{a}{b} = \frac{17}{-1}\)

\(\frac{a}{b} = \frac{-17}{1}\)

Represent as a ratio

\(a:b = -17:1\)

Answer:

5 family members went swimming with the dolphins.

Step-by-step explanation:

From the information given, you can say that the total cost for the family to swim with dolphins is equal to the flat fee for the family to rent wet suits plus the extra cost per person for the number of family members:

1024.99=75+189.99x, where x is the number of family members

Now, you can solve for x:

1024.99-75=189.99x

949.99=189.99x

x=949.99/189.99

x=5

According to this, the answer is that 5 family members went swimming with the dolphins.

Answer:469.08

Step-by-step explanation:

The number is written as 469800

Numbers can be expressed both in words and figures. For example, 100,000 in words is written as One Lakh or One hundred thousand. Numbers in words can be written for all the natural numbers, based on the place value of digits, such as ones, tens, hundreds, thousands, and so on.

Given here, the number in words here is Four hundred sixty-nine and eight hundredth. Thus the number in figures is  469800

Hence, the number in figures is 469800

Learn more about numbers here:

https://brainly.com/question/17429689

#SPJ2

Answer:

X=1

Step-by-step explanation:

m<GCF=m<ACD because they are vertical

11x = 7x+4

subtract 7 from both sides to get 4x=4

divide both sides by four to get X=1

The interest of the CD account's of Ethan after 6 year is  $756.

For the given question;

Ethan deposit $7,000 into a certificate of deposit CD for 6 years.

The formula for finding the simple interest is;

SI = PRT/100

where,

Put the values in the formula,

SI = 7,000×1.8×6/100

Simplifying;

SI = 756.

Thus, the simple interest gained after 6 years will be $756.

To know more about the simple interest, here

https://brainly.com/question/25793394

#SPJ13

Answer:

D

Step-by-step explanation:

when x=1, y should = 2

2(1)=2

so y=2x is correct

The value of the side x for the given similar triangle will be 12 units.

The three-sided shape known as a triangle is sometimes used to allude to it. Every triangle has three sides and three angles, some of which might be the same.

The area of a triangle is defined as (1/2) base height, and the sum of all three angles within a triangle will be 180°.

As per the given both triangle,

The one angle of both triangles is 90° and one angle is the common angle.

Since the two angles are the same thus the third angle will be the same thus by the AAA postulate both triangles will be similar.

By a similar triangle rule,

20/x = 25/(√(25² - 20²))

x = 20/25 (15)

x = 12

Hence "The value of side x will be 12 units by AAA postulate".

For more about triangles,

https://brainly.com/question/2773823

#SPJ1

The sampling distribution of the sample mean will always have the same Mean as the original distribution.

Sampling distribution:

Sampling distribution means a probability distribution of a statistic that is obtained through repeated sampling of a specific population.

Given,

Here we have the statement "The sampling distribution of the sample mean will always have the same _________ as the original distribution."

Now, we have to find the missing word in the statement.

We know that, the mean of the sampling distribution of the sample mean will always be the same as the mean of the original non-normal distribution. Simply said that the sample mean is equal to the population mean.

To know more about Sampling Distribution here.

https://brainly.com/question/13501743

#SPJ1

Answer:

1.36mph

Step-by-step explanation:

The escalator is moving at 2ft/s, lets convert this to miles/second.

2ft/s = 0.000378788miles/s.

Now that we have the miles/second lets multiply this value by 3600 to get the miles/h, because there are 3600 seconds in an hour.

2ft/s=1.3636368miles/h

Or approximately 1.36miles/h.

The minimum surface area of the container is: 96.00 cm² in the given case.

Let's call the length and width of the square base "x", and the height of the container "h". Since the container has a volume of 256 cm^3, we can write:

V = \(x^2 * h = 256\)

We want to minimize the surface area of the container, which consists of the area of the base plus the area of the four sides. The area of the base , and the area of each side is xh. Therefore, the total surface area of the container is:

A = \(x^2 + 4xh\)

We can solve for h in terms of x using the volume equation:

h = \(256 / (x^2)\)

Substituting this expression for h into the surface area equation, we get:

A(x) =

To find the minimum surface area, we need to find the critical points of the function A(x).

We can do this by taking the derivative of A(x) with respect to x, setting it equal to zero, and solving for x:

\(dA/dx = 2x - 1024 / x^2 = 0\\2x = 1024 / x^2\\x^3 = 512\\x = ∛512\\x ≈ 8.00 cm\)

To confirm that this is a minimum, we can check the second derivative:

\(d^2A/dx^2 = 2 + 2048 / x^3\)

This is positive, so A(x) has a minimum at x =\(∛512\). Therefore, the minimum surface area of the container is:   96.00 cm²

To learn more about surface area here

https://brainly.com/question/16519513

#SPJ4

The corrals that satisfies the population constraint that requires at least 20 square meters of area per animal is option (d) corral 4

To determine which corral meets the population constraints of at least 20 square meters for each animal, we need to calculate the area of each corral and divide it by the number of animals in that corral. If the result is at least 20 square meters, then the corral meets the requirement.

Corral 1: Area = length x width = 50 x 40 = 2000 square meters. Number of animals = 110. Area per animal = 2000/110 = 18.18 square meters. Therefore, Corral 1 does not meet the requirement.

Corral 2: Area = length x width = 60 x 35 = 2100 square meters. Number of animals = 115. Area per animal = 2100/115 = 18.26 square meters. Therefore, Corral 2 does not meet the requirement.

Corral 3: Area = length x width = 55 x 45 = 2475 square meters. Number of animals = 125. Area per animal = 2475/125 = 19.8 square meters. Therefore, Corral 3 meets the requirement.

Corral 4: Area = length x width = 65 x 40 = 2600 square meters. Number of animals = 130. Area per animal = 2600/130 = 20 square meters. Therefore, Corral 4 meets the requirement.

Therefore, the answer is (d) Corral 4.

Learn more about population constraint here

brainly.com/question/30030219

#SPJ4

Answer:

D. Corral 4

Hope this helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Huh?.?.?