The length of a rectangle is 99 meters and the width is 87 meters. Find the area. Give your answer without units.

Answer:

Step-by-step explanation:

Lets illustrate one method by an example:

Find the square root of  12:

The 2 perfect squares around 12 are 3^2 and 4^2 so the square root of 12 is going to be between 3 and 4.

We might predict it to be 3.5

If we square 3.5 we get 12.25 so we are pretty close.

It is less than 3.5 so we might try 3.4 .

Working 3.4^2 out we get  11.56  so we know the square root is between 3.4 and 3.5  Since 12.25 is closer to 12 than 11.56, the square root is closer to 3.5 than 3.4 so we might try 3.46.

This is called the method of trial and improvement and requires you to do long multiplications.

Answer:

6x−7

Step-by-step explanation:

2x−7+4x

=2x+−7+4x

Combine Like Terms:

=2x+−7+4x

=(2x+4x)+(−7)

=6x+−7

Answer:6x-7

The like terms in the expression are 2x and 4x, so therefore you add them together and you get 6x.

Answer: The 1st option is correct! :D

Hopefully this will help others as well!

Step-by-step explanation:

Answer:

Random sample

Step-by-step explanation:

In statistics, a sample randomly taken from an investigated population, usually known as a random sample. To avoid having bais from our response and for it to have the best chance of it being indicative of the entire population, our sample must be random. This random sample chosen must contain subjects related to the data in the population we what to obtain a result from.

Answer:

Step-by-step explanation:

volume=1/3×area of base×height=1/3×6×6×√7=12√7 cubic units

Answer:

m =-7/3

Step-by-step explanation:

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(0,\:21\right),\:\left(x_2,\:y_2\right)=\left(9,\:0\right)\\\\m=\frac{0-21}{9-0}\\\\m = \frac{-21}{9} \\\\Use\:3\:to\:divide\:through \\m=-\frac{7}{3}[/tex]

Answer:

21

Step-by-step explanation:

8x+y, when x=2 and y=5,

then 8*2+5. Because the 2 is right next to the 8, it isn't '82', but '8*2'

According to  PEMDAS, multiplication is done first, so

8*2= 16,

16+5, which is 16+5= 21

Answer:

19.4 units

Step-by-step explanation:

The hypotenuse length (c) of the given right triangle, ∆ABC, can be calculated using the Pythagorean Theorem, [tex] a^2 + b^2 = c^2 [/tex],

Where,

c is the longest/hypotenuse, a and b are the length of the other two legs.

Therefore,

[tex] c^2 = (16)^2 + (11)^2 [/tex]

[tex] c^2 = 256 + 121 = 377 [/tex]

[tex] c = \sqrt{377} = 19.4 [/tex] (nearest tenth)

Answer:

[tex]d=\sqrt{26}\approx5.0990[/tex]

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula.

The distance formula is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let (2,8) be x₁ and y₁ and let (7,7) be x₂ and y₂. Thus:

[tex]d=\sqrt{(7-2)^2+(7-8)^2}[/tex]

Simplify:

[tex]d=\sqrt{5^2+(-1)^2}[/tex]

Square:

[tex]d=\sqrt{25+1}[/tex]

Add:

[tex]d=\sqrt{26}\approx5.0990[/tex]

And that's our answer :)

Answer:

Average of 15 students in each Sunday school class.

Step-by-step explanation:

The average (or arithmetic mean) number of students per class, is the total number of students divided by the number of classes. In this case:

225/15 = 15

average of 15 students per Sunday school class.

Answer:

the answer is most likely A

Step-by-step explanation:

Answer:

4.35

Step-by-step explanation:

The fraction is 23/5.

To find the fraction of given problem.

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.

Given that:

Let the two fractions be a/b  and  c/d then:

a/b−c/d=ad−bc/bd

It must have like denominators to subtract fractions.

For = 9 1/10 - 4 3/4= 9 1/10 - 19/4

Taking LCM of 10 and 4 is 20.

=9 1/10 - 19/4

=[tex]\frac{91*2-19*2.5}{20} \\\\\frac{182-47.5}{20} \\\\\frac{92}{20}[/tex]

After cancel out numerator and denominators

=23/5

So, the fraction is 23/5.

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Answer:

Step-by-step explanation:

Hope this helped

Answer:

See step by step

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

-1/2(-5/6 +1/3)

PEMDAS

parentheses first

(-5/6 +1/3)

Get a common denominator

-5/6 + 1/3 *2/2

-5/6 + 2/6 = -3/6 = -1/2

Substitute this back in

-1/2 ( -1/2)

Multiply

1/4

Answer:

1. y=6

2. x=-2

3. t=-6

Step-by-step explanation:

1.

[tex]4y-9=15\\4y-9+9=15+9\\4y=24\\\frac{4y}{4}=\frac{24}{4}\\y=6[/tex]

2.

[tex]6x+7=-5\\6x+7-7=-5-7\\6x=-12\\\frac{6x}{6}=\frac{-12}{6}\\x=-2[/tex]

3.

[tex]-9t+2=56\\-9t+2-2=56-2\\-9t=54\\\frac{-9t}{-9}=\frac{54}{-9}\\t=-6[/tex]

Answer:

-33-4x=-1(4x-7)

-33-4x=-4x+7.

-33-7=-4x+4x.

=-40.

Answer:

Step-by-step explanation:

[tex]-5\left(p+\frac{3}{5}\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-5\\\frac{-5\left(p+\frac{3}{5}\right)}{-5}=\frac{4}{-5}\\\\Simplify\\p+\frac{3}{5}=-\frac{4}{5}\\\\\mathrm{Subtract\:}\frac{3}{5}\mathrm{\:from\:both\:sides}\\p+\frac{3}{5}-\frac{3}{5}=-\frac{4}{5}-\frac{3}{5}\\\\Simplify\\p=-\frac{7}{5}\\\\p=-\frac{7}{5}[/tex]

Answer:

So the breadth of the rectangle is y= 3.39 inches

And the length is = x= 4y= 4* 3.39= 13.56 inches

Step-by-step explanation:

Let the length of the rectangle be given by x and the breadth be defined by y.

Then according to the area of rectangle

Area= Length * breadth

But length is 4 times its width so x= 4y  

Therefore putting the values

Area= Length * breadth

46= x*y

46= 4y*y

46/4= y²

or

y ²= 11.5

Now taking the square root of both sides we get

y= √11.5=3.39116 inches

So the breadth of the rectangle is y= 3.39 inches

And the length is = x= 4y= 4* 3.39= 13.56 inches

Answer:

2400

Step-by-step explanation:

length times width times height

Answer:

350

Step-by-step explanation:

Area of rectangle = Length * width

Area = 25 * 8

Area = 200

Area of a triangle  = [tex]\frac{h_{b}*b}{2}[/tex]

Area = 150

Area = triangle area + rectangle

Area = 350

The factor that influences a consumer when deciding to buy a product is D. External factor.

A consumer is a person or group who intends to order or uses purchased goods, products, or services primarily for personal, social, family, or household needs and is not directly involved in entrepreneurial or business activities.

Consumers consider a variety of factors, including the product's characteristics, the price charged, the product's availability at the required location, and much more. Personal factors include the consumer's age, occupation, lifestyle, social and economic status, and gender.

External factors such as the market economy, culture, social values, fashion, and corporate policies for consumers all have a large impact on consumer perceptions, attitudes, and behavior.

External factors may include family and friend expectations, cultural or gender stereotypes, and family responsibilities. These factors can have an impact on decision-making, either positively or negatively.

Therefore, based on the information illustrated, the correct option is D.

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Answer:

The slope of the line given by the equation is two.

Step-by-step explanation:

We are given the equation:

[tex]y+5=2(x+1)[/tex]

Notice that the equation is written in point-slope form. That is:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope.

From our given equation, we can see that m = 2.

Therefore, the slope of the given line is 2.

Answer:

2

Step-by-step explanation:

Put the line into slope intercept form:

y + 5 = 2(x+1)

Distribute the 2

y + 5 = 2x + 2

Isolate y to put into y = mx + b form

y = 2x - 3

So, the slope is 2 because it is the coefficient to x.

Answer: C. The data do not provide sufficient evidence to reject H0; thus, we cannot conclude that the mean point spread fo home games is higher than that of away games.

Step-by-step explanation: In Hypothesis Testing using p-value, after stating the null an alternative hypothesis, you have to compare p-value with level of significance, also known as α. If p-value is less than α, reject null hypothesis and accept alternative. If p-value is bigger, we would fail to reject null hypothesis and not accept the alternative.

In the above testing, P-value is 0.4351. Level of significance is, generally, 0.05. Comparing them, p-value is bigger than α. What it means is there is not enough evidence to support null hypothesis and, consequently, we can't conclude the difference in mean point spread of home games is higher than of the away games.

Answer:

S = 2

Step-by-step explanation:

1st step: Simplify both sides of the equation

4/5 s - 3/4 s = 1/10

4/5 s + -3/4 s = 1/10

(4/5 s + -3/4 s) = 1/10 (combine like terms)

1/20 s = 1/10

1/20 s = 1/10

step 2: multiply both sides by 20

20 * (1/20 s) = 20 * (1/10)

s = 2

Hope this helped!

Answer:

x =-1

Step-by-step explanation:

[tex]-2(bx - 5) = 16\\b = 3\\x = ?\\-2(3x -5)=16\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(3x-5\right)}{-2}=\frac{16}{-2}\\\\Simplify\\3x-5=-8\\\\\mathrm{Add\:}5\mathrm{\:to\:both\:sides}\\3x-5+5=-8+5\\\\Simplify\\3x=-3\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3x}{3}=\frac{-3}{3}\\\\Simplify\\x =-1[/tex]

Answer:

It is irrational because there isn’t any repeating parts.

Answer:

width are 33 dimensions