A construction company built bleachers that can hold a 149,227 pounds. How many 169-pound people can the bleachers hold?

b becuces you add the dived

Final answer:

The mean of two numbers is 2.5, indicating that their sum is 5, which gives several possibilities about the individual numbers. The true statements based on the mean could be that one of the numbers is less than 2 or exactly 2.5.

Explanation:

If the mean of two numbers is 2.5, this means when we add those two numbers together and divide by 2 (because there are two numbers), the result is 2.5. To find what is true about the data based on this information, let’s examine each provided option:

a) Both numbers are greater than 5: This cannot be true; if both numbers were greater than 5, their mean would be greater than 5.

b) One of the numbers is less than 2: This statement can be true; for instance, if one number was 1 and the other was 4, the mean would be 2.5.

c) One of the numbers is 2.5: This can also be true; if one number is 2.5 and the other is any number that, when averaged with 2.5, results in 2.5, it would work (for example, 2.5 and 2.5).

d) The sum of the data is not divisible by 2: This is false; since the mean is 2.5 and there are two numbers, the sum must be 5, which is divisible by 2.

So the correct answer is b) and possibly c), meaning one of the numbers is less than 2 or one of the numbers could be exactly 2.5.

Answer:

160 ft^2

Step-by-step explanation:

First you have to find the width, then you find the area. To find the width with a percentage we do Part/ Total = %/100  and we cross multiply. We need to find the part so that is the unknown, we will call it 'w' for width

w/20 = 40/100       Now we cross multiply, the x and the 100 and the 20 and 40

w * 100 = 100w

20 * 40 = 800

Now we have 100w = 800      The next step is to divide both sides by 100 so we just have w

100x/100= w

800/100 = 8

w = 8

The width is 8

Now we find the area which is length x width

20 x 8 = 160

So the area is 160 ft^2

We know that 8(hrs) is 4 times 2(hrs) so now we just need to multiply.

Multiply 1,100 by 4.

1,100 × 4 = 4,400

The jet will fly 4,400 miles in 8 hours.

Answer:

4400miles

Step-by-step explanation:

1,100 divided by 2 = 550

and 550 times 8 is 4400

Answer: The mean is 6.

1.) (Add) To find mean, add all listed values then, divide by the total amount of values.

- 2 + 3 + 5 + 5 + 6 + 7 + 7 + 7 + 8 + 10 = 60.

2.) Divide the total by the amount of values.

- 60/10 ( There are 10 numbers in total ) = 6.

The mean of the data is 6.

To find the mean of the data set provided by Alice's friends, you need to follow these steps:

Add all the numbers together. The numbers are: 2, 3, 5, 5, 6, 7, 7, 7, 8, and 10.

The sum of these numbers is: 2 + 3 + 5 + 5 + 6 + 7 + 7 + 7 + 8 + 10 = 60.

Count the total number of data points, which is 10.

Divide the sum by the number of data points: 60 / 10 = 6.

Therefore, the mean of the data is 6.

Answer:

Step-by-step explanation:

[tex]3.14*10^{-2}=\frac{3.14}{10^{2}}\\\\=\frac{3.14}{100}=0.0314[/tex]

Good morning ☕️

Answer:

Step-by-step explanation:

3.14x10⁻²

since 10 is raised to a negative number (-2)

then we just need to move the decimal point in the number 3.14 two steps to the left ,like this :

3.14x10⁻² = 0.0314

by the way 3.14 = 003.14

__________________________________________________________

:)

Answer:

y=-1/3x+8/3

Step-by-step explanation:

y=3x-8 k1=3

k1*k2=-1

3*k2=-1

k2=-1/3

A(2,2) x1=2, y1 =2

y-y1 =k2(x-x1)

y-2=-1/3(x-2)

y-2=-1/3x+2/3

y=-1/3x+2/3+2

y=-1/3x+2/3+6/3

y=-1/3x+8/3

Answer:

(2b - 3)(2b + 3)(b - 3)

Step-by-step explanation:

4b³ - 9b - 12b² + 27

b(4b² - 9) - 3(4b² - 9)

(4b² - 9)(b - 3)

(2b - 3)(2b + 3)(b - 3)

Answer:

[tex](4b^{2}-9)(b-3)[/tex]

Step-by-step explanation:

In order to factor this expression you need to factor by grouping.

First focus on factoring the first two terms them factor the last two terms

1. Lets focus on the first 2 terms:

[tex]4b^{3} -12b^{2}[/tex] (You can factor out [tex]4b^{2}[/tex])

[tex]4b^{2} (b-3)[/tex] (this is what you're left with

2. Lets focus on the last 2 terms:

[tex]-9b+27[/tex] (You can factor our a -9)

[tex]-9(b-3)[/tex] (this is what you're left with

3. Now lets put both of the factored parts together:

[tex]4b^{2} (b-3)-9(b-3)[/tex] (Since both equations have the factor (b-3) in common that is one of our answers) (pull out that factor)

[tex](b-3)[/tex]

Now whatever is left create the second factor:

[tex](4b^{2} -9)[/tex]

So, [tex](4b^{2} -9)(b-3)[/tex] are the factors that make this expression.

You can double check that these are the right factors by using the FOIL method.

If you use the FOIL method it forms the original expression [tex]4b^{3} -12b^{2} -9b+27[/tex]

so we know for sure these are the right factors.

I will upload an image of how to use the FOIL method.

FOIL stand for Front, Outer, Inner, Last

Yo sup??

(5^3)^5

=5^3*5

=5^15

Hope this helps

5^8 is the answer.

the expression is given:(5^3)^5

(5^3)^5

5^3+5

5^8

=390,625

Basically, when simplifying an expression, try to make it as simple as possible. After all, don't add, subtract, multiply, or divide anything. For example, consider the following equation: 4 + 6 + 5.

For example, 1/2 (x + 4) can be simplified as x / 2 + 2. Let's look at another example to understand. Example: Simplify the formula: 3/4x + y / 2 (4x + 7). Using the law of distribution, a given equation can be written as 3/4x + y / 2 (4x) + y / 2 (7).

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Answer:

9/5

Step-by-step explanation:

do the math got it correct

On solving the given expression, the solution is [tex]x \ > \frac{9}{5}[/tex] .

Thus, On solving the given expression, the solution is [tex]x \ > \frac{9}{5}[/tex] .

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Answer:

13

Step-by-step explanation:

10+ 14+ 15+ 12+ 13+ 14=78

78/6=13

Each student will receive 13 buttons provided six students collected 10, 14, 15, 12, 13, and 14 buttons respectively and they divided the buttons evenly so that each student receives the same number of buttons. This can be obtained by adding to find total number of buttons and dividing by total number of students, that is 6.

Given that, six students collected 10, 14, 15, 12, 13, and 14 buttons respectively.

Therefore total number of buttons, 10+14+15+12+13+14 =78 buttons.

Number of buttons each student will get,78 buttons/6 students =13 buttons

Hence each student will receive 13 buttons provided six students collected 10, 14, 15, 12, 13, and 14 buttons respectively and they divided the buttons evenly so that each student receives the same number of buttons. The correct answer is option 3.

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$ 20

Step-by-step explanation:

Step 1:

Equation is given by C = 2D

Here D is equal to 10 miles

Variable C costs twice the distance traveled.

Step 2:

Here D= 10 Miles.

Hence, C= 2*10 = 20

Hence $20 will be the cost.

Answer: x = 9 -3y

Step-by-step explanation:

Hi, to answer this question we have to solve the system by substitution:

a)3x − 4y = 12

b)2x + 6y = 18

If we isolate "y" on b)

2x + 6y = 18

2x = 18 -6y

x = 18/2 - 6/2y

x = 9 -3y is a possible equation

Doing the same thing with the other equation a) , and isolating "y" in both expressions, the only possible equation is the one founded above.

The distance of the cell phone from the western tower is 27.47 miles and from the eastern tower is 1.76 miles

Explanation:

The sketch is attached for the reference.

tan (10) = [tex]\frac{NE}{WE}[/tex]

[tex]0.176 = \frac{NE}{10} \\\\NE = 1.76[/tex]

tan (70) = [tex]\frac{NW}{WE} \\\\[/tex]

[tex]2.747 = \frac{NW}{10} \\\\NW = 27.47[/tex]

Therefore, the distance of the cell phone from the western tower is 27.47 miles and from the eastern tower is 1.76 miles

Answer:

$7,000

Step-by-step explanation:

1800 = 1450 + 0.05X

0.05X = 350

X = 7000

Answer:

7,000

Step-by-step explanation:

because 1450 x 5 is 7250

5 percent of 7250 is 7000

Answer:

Since I don't know the number of students, I think the equation would be 1500=x*n, with x being the cost and n being the number of students.

Step-by-step explanation:

Final answer:

The equation that shows how the cost per student depends on the number of students is: Cost per student = Total cost / Number of students. For example, if there are 30 students, the cost per student would be $50.

Explanation:

The equation that shows how the cost per student depends on the number of students can be expressed as:

Cost per student = Total cost / Number of students

In this case, the total cost is $1500, so the equation becomes:

Cost per student = $1500 / Number of students

For example, if there are 30 students, the cost per student would be:

Cost per student = $1500 / 30 = $50

Answer:

3-2 notebooks= 11$-8$=3 $

so 2 notebooks= 2*3=6 $

so a pack of pens is 8$-6$=2$

Step-by-step explanation:

The cost of a pack of pens is $2 and it can be determined by using a system of equations.

Given that,

Daniel brought 2 notebooks and a pack of pens for $8.

Jose bought 3 notebooks and a pack of pens for $11.

We have to determine,

What is the cost of a pack of pens?

According to the question,

Let, the cost of notebook be x,

And the cost of a pack of pens is y.

Daniel brought 2 notebooks and a pack of pens for $8.

2x + y = 8

Jose bought 3 notebooks and a pack of pens for $11.

3x + y = 11

On subtracting both the equation

2x + y - (3x + y ) = 8-11

2x + y -3x -y = -3

-x = -3

x = 3

Substitute the value of x in the equation 1,

2x + y = 8

2(3) + y = 8

6 + y = 8

y = 8-6

y = 2

Hence, The cost of the notebook is $3 and the cost of a pack of pens is $2.

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The value of x is 36.

Solution:

Given angles of a triangle are 2x°, 2x° and x°.

To find the value of x:

Sum of the all the angles of a triangle = 180°

2x° + 2x° + x° = 180°

5x° = 180°

Divide by 5 on both sides of the equation.

x° = 36°

x = 36

The value of x is 36.

Answer:

Y-intercept: (0,6)

Multiplier: 3

Equation: y = 3x + 6

Answer:

[tex]g^{-1}[/tex](x) = [tex]\frac{5x+45}{3}[/tex]

Step-by-step explanation:

let y = g(x) and rearrange making x the subject

y = [tex]\frac{3}{5}[/tex] x - 9 ( add 9 to both sides )

y + 9 = [tex]\frac{3}{5}[/tex] x

Multiply both sides by 5 to clear the fraction

5y + 45 = 3x ( divide both sides by 3 )

[tex]\frac{5y+45}{3}[/tex] = x

Change y back into terms of x, thus

[tex]g^{-1}[/tex](x) = [tex]\frac{5x+45}{3}[/tex]

The inverse is g⁻¹(x) = (5/3)*(x + 9)

How to find the inverse?

for a function f(x), the inverse f⁻¹(x) is defined as:

if f(x) = y

f⁻¹(y) = x

For this case, we can write:

g(g⁻¹(x)) = x

(3/5)*g⁻¹(x) - 9 = x

(3/5)*g⁻¹(x) = x + 9

g⁻¹(x) = (5/3)*(x + 9)

Answer:

-5/3

Step-by-step explanation:

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

m=(-9-6)/(10-1)

m=-15/9

simplify

m=-5/3

Answer:

6 inches

Step-by-step explanation:

The formula for volume is length*width*height. Following this,

7*4*h=168

28h=168

h=6

Answer:

The height is 6 inches

Step-by-step explanation:

7 x 4= 28

28 x 6=168

Answer:

4x^2 - x - 4.

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

= 4x^2 - 3 - (x + 1)

=  4x^2 - 3 - x - 1

= 4x^2 - x - 4.

Answer:

$26,500.

Step-by-step explanation:

It is given that Ed is a car salesman. he makes 1.5% commission on each car he sells.

He made $397.50 on the last car he sold.

We need to find the sales price of the car.

Let x be the selling price of the car.

1.5% of x = $397.50

[tex]x\times \dfrac{1.5}{100}=397.50[/tex]

[tex]0.015x=397.50[/tex]

Divide both sides by 0.015.

[tex]x=\dfrac{397.50}{0.015}[/tex]

[tex]x=26,500[/tex]

Therefore, the sales price of the car is $26,500.

The sales price of the car is $26,500.

To find the sales price of the car, we need to divide the commission amount by the commission rate.

First, let's convert the commission rate to a decimal. 1.5% is equal to 0.015.

Next, we'll use the formula: Sales Price = Commission Amount / Commission Rate.

So, the sales price of the car can be found by dividing $397.50 by 0.015, which equals $26,500.

Answer: 2/11

Step-by-step explanation:

8/44 in simplest form

Step 1: find a divisible number for the numerator and denominator

= 2/11

Answer: 1/9

Step-by-step explanation:

60 + 48 = 108 minutes

12 / 108 = 1/9

Answer:

a=9x

b=7

(9x-7)(9x+7)

Step-by-step explanation:

81x^2-49=(9x)^2 - 7^2=(9x-7)(9x+7)

Answer:

1: 9x

2: 7

3: (9x-7)(9x+7)

OR

1: 3rd option

2: 2nd option

3: 4th option

Step-by-step explanation:

got it right on Edge

have a great day!!!

PLZ  MARK BRAINLIEST

Answer:

1.5887 cm

Step-by-step explanation:

If the time is 13:30, The hour pointer will be between the numbers 1 and 2.

Each number of the 12 number clock is separated by 30 degrees, so the hour pointer is at 45 degrees.

The minute pointer is at 30 minutes, so it is in number 6, being therefore at angle 180.

The angle formed by the pointers will be 180 - 45 = 135 degrees.

We can draw a triangle with both pointers and this angle (image attached)

So, we can calculate the distance between the tip of the pointers (let's call it "d") using law of cosines:

d^2 = 0.7^2 + 1.2^2 - 0.7*1.2*cos(135)

d^2 = 0.49 + 1.44 - (-0.5940) =  2.524

d = 1.5887 cm

The distance between the tip of the pointers (let's call it "d") using law of cosines is 1.5887 cm.

If the time is 13:30, The hour pointer will be between the numbers 1 and 2.

Each number of the 12 number clock is separated by 30 degrees, so the hour pointer is at 45 degrees.

The minute pointer is at 30 minutes, so it is in number 6, being therefore at angle 180.

The angle formed by the pointers will be 180 - 45 = 135 degrees.

We can draw a triangle with both pointers and this angle (image attached)

So, we can calculate the distance between the tip of the pointers (let's call it "d") using law of cosines:

d^2 = 0.7^2 + 1.2^2 - 0.7*1.2*cos(135)

d^2 = 0.49 + 1.44 - (-0.5940) =  2.524

d = 1.5887 cm

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The length of the ladder is 13 feet.

Step-by-step explanation:

From the Pythagorean Triplets (5,12,13) :

It can be determined that the longest side called hypotenuse is 13 feet.

Therefore, the length of the ladder = 13 feet.