. 10 people can fit comfortably into a 7 x 12 feet square. What is the ratio of number of people and the
rectangle's area?

Answer:

[tex]\huge\boxed{\sf b = 6.9}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{15}{b} =\frac{24}{11} \\\\Cross \ Multiply\\\\15 \times 11 = b \times 24\\\\165 = 24b\\\\Divide \ both\ sides\ by\ 24\\\\165/24=b\\\\6.9=b\\\\b = 6.9\\\\\rule[225]{225}{2}[/tex]

Answer:

Step-by-step explanation:

The correct option regarding the quotient of the two fractions is given as follows:

B. [tex]\frac{(4x^2 + 6)(x + 2)}{10x^2 + 15}[/tex], no values must be excluded.

The division of two fractions is given by the multiplication of the first fraction by the inverse of the second fraction.

The first fraction for this problem is given as follows:

(4x² + 6)/(x - 2).

The second fraction for this problem is given as follows:

(10x² + 15)/(x² - 4).

Applying the subtraction of perfect squares, we have that:

x² - 4 = (x + 2)(x - 2).

Then the division of the two fractions is given as follows:

(4x² + 6)/(x - 2) x [(x + 2)(x - 2)/(10x² + 15)]

Simplifying the x - 2 terms, we have that:

[tex]\frac{(4x^2 + 6)(x + 2)}{10x^2 + 15}[/tex]

No values must be excluded, as the denominator would be never zero, as:

10x² + 15 = 0

10x² = -15.

x² is always positive, hence 10x² will never be equals to -15.

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The change between outputs found by dividing one output by its previous output is called output elasticity.

What is output elasticity?

Output elasticity is defined as the division of change in output by change in input which is the previous output.

General, elasticity is a concept that is used to measure the change in the aggregate quantity demanded of a good or service in relation to price movements of that good or service.

A product is considered to be elastic if the quantity demand of the product changes more than proportionally when its price increases or decreases.

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Answer: The probability of not taking a yellow ball can be found by using the formula:

Probability of event A = (Number of favorable outcomes) / (Total number of outcomes)

In this case, the event of not taking a yellow ball is the favorable outcome, and the total number of outcomes is the total number of balls in the bag, which is 10 yellow, 5 orange, and 5 green balls. So, the total number of outcomes is 20.

The number of balls that are not yellow is 5 orange + 5 green = 10.

So, the probability of not taking a yellow ball is

Probability of not taking a yellow ball = (Number of non-yellow balls) / (Total number of balls) = 10/20 = 1/2

So the answer is 1/2.

Step-by-step explanation:

Answer:

Assasination

Step-by-step explanation:

TBH I think this is it. I did some research and this is what I got. weird huh?

Hope this helps :)

Answer: 6

Step-by-step explanation:

Let's start by rewriting the expression. Essentially, this is asking us for 3 * (times) √4 (square root of four).

Now, we can solve √4. Since we know that 2*2 = 4. That means that 2² = 4, so essentially, if we take the square root of 4, we will get back to two.

Now, we can solve the rest: 3 * 2 = 6

In the end, 3√4 = 6. Hope this helps!

Answer: Nicole Kicked the ball Father by  22 feet than Tyrell.

The force of gravity caused the soccer ball to return to the girl.

By means of gravity, a planet or other body pulls items toward its center.

It is, in ideal circumstances, abiding by Newton's third law of gravitation and force.

Each action has a corresponding and opposing reaction.

So, when a boy kicks a ball and it comes back, that signifies he is abiding by the law.

Nicole kicked the ball 57 feet

Tyrel kicked the ball 35 feet

Nicole  Kicked the ball Father by = 22feet

This is gotten by subtracting the distance Nicole kicked from that of Tyrel

=57 feet - 35feet = 22feet

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Answer:

[tex]a=1, b=-3[/tex]

Step-by-step explanation:

[tex](3,1) \implies 3a-b=6 \\ \\ (0,2) \implies -2b=6 \implies b=-3 \\ \\ \therefore 3a-(-3)=6 \implies a=1[/tex]

Answer:

Option 2

Step-by-step explanation:

The associative property of multiplication states that you get the product of the numbers no matter what way you arrange the equation and multiply the numbers, you can begin with any two numbers and go on multiplying with the rest, you get the same product!

Answer:

12/35

Step-by-step explanation:

2/7 / 5/6

= 2/7 x 6/5
= 12/35

Answer:

7 and 4/9

Step-by-step explanation:

Answer: By SSS, ΔSUR ≅ ΔTVR.

Step-by-step explanation:

This might be a longer method, but still here you go.

Given, ΔSTU ≅ ΔTSV

By CPCT, we have the following.

∠TUS / ∠RUS = ∠SVT / ∠RVT  ----   1

SU = TV   ----    2

SV = TU ---- 3

∠STU / ∠STR = ∠TSV / ∠TSR

Now, in the triangle TRS,

TR = SR ( ∠TSR = ∠STR) ---- 4

SV= TU

SV - SR = TU - TR (SR= TR)

UR = VR ---- 5

Now, we can use SSS in the triangles ΔSUR and ΔTVR

SU = TV (2)

SR = TR (4)
UR = VR (5)
Therefore, by SSS, ΔSUR ≅ ΔTVR.
Cheers

Answer:

Step-by-step explanation:

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Answer:

0.35

Step-by-step explanation:

The area of the triangle KLM is found using Heron's formula as:

A = 60 in².

     S = (a+b+c)/2

     where a, b, and c are the triangle's three sides.

The sides of the triangle KLM are:

Then,

Semi perimeter s = a + b + c / 2

s = (13 + 13 + 10)/ 2

s = 18 in

Thus,

s - a : 18 - 13 = 5

s -b : 18 - 13 = 5

s - c : 18 - 10 = 8

By Heron's formula;

area of triangle KLM = √(s - a)(s -b)(s - c)

A = √18*5*5*8

A = 60

Thus, the area of triangle KLM is found using Heron's formula as:

A = 60 in².

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Answer:18,9

Step-by-step explanation:

9x1=9 9x2=18

Answer:

(a) 1/6. One out of six sides will give you the desired result.

(b) 3/6. 3 out of 6 sides will give you the desired result.

(c) 2/3. 4 out of 6 sides will give you the desired result.

Answer:

c.

Step-by-step explanation:

this graph is exponential equation

Answer:

The distance between two points in the coordinate plane can be found using the distance formula, which is:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, the two points are (3,2) and (6,0), so we can plug in the values to get:

distance = √((6 - 3)^2 + (0 - 2)^2)

distance = √((3)^2 + (-2)^2)

distance = √(9 + 4)

distance = √13

So the distance between the two points (3,2) and (6,0) is approximately 3.61 units.

Answer:-7,-7

Step-by-step explanation:

Answer:

a = √63

Step-by-step explanation:

We are given a right triangle (notice the right angle).

We know that the hypotenuse (the side opposite of the right angle) is 12.

We also know that one leg (a side that makes up the right angle) is 9, and that the other one is a.

We want to find what a is.

We can use the Pythagorean Theorem to help us find a.

The Pythagorean Theorem says a² + b² = c², where a and b are the legs and c is the hypotenuse.

Since we already know the values of the legs and hypotenuse, we can substitute these values in the theorem, but let's first label the values of everything to avoid confusion / mistakes.

a = a

b = 9

c = 12

Now, plug into the formula.

a² + 9² = 12²

Simplify:

a² + 81 = 144

Subtract 81 from both sides

a² = 63

Square root both sides to get the value of a.

a = √63

The value of  2(3 + 2) to the third power minus 6 is 2.187.

An expression is combination of variables, numbers and operators.

The given sentence is 2(3 + 2) to the third power minus 6

Mathematically is can be written as [tex]2(3+2)^{\frac{1}{3}-6}[/tex]

Let us solve the exponent part

1/3-6

1-18/3=-17/3

Now [tex]2(3+2)^{\frac{-17}{3}}[/tex]

[tex]10^{-5.6}[/tex]

2.187

Hence, the value of  2(3 + 2) to the third power minus 6 is 2.187.

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The two expressions in the second row and one expression in the first row will be 11t - 2u & 10t + 2u and 21t, respectively.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The three expressions in the third row are given below.

4t - 6u, 7t + 4u, and 3t - 2u

The two expressions in the second row are given as,

4t - 6u + 7t + 4u = 11t - 2u

7t + 4u + 3t - 2u = 10t + 2u

The one expression in the first row is calculated as,

11t - 2u + 10t + 2u = 21t

The two expressions in the second row and one expression in the first row will be 11t - 2u & 10t + 2u and 21t, respectively.

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The length of RZ is obtained as follows:

RZ = 11.5.

From the kite given by the image at the end of the answer, the segment lengths are given as follows:

Segments WX and WZ are congruent, hence segment WZ has the length given as follows:

WZ = 14.

Then the length of RZ is obtained considering a right triangle, for which:

The Pythagorean Theorem states that the length of the hypotenuse squared is equals to the sum of the lengths squared of the sides.

Considering the Pythagorean Theorem, the length RZ is obtained as follows:

x² + 8² = 14².

[tex]x = \sqrt{14^2 - 8^2}[/tex]

x = 11.5.

RZ = 11.5.

The problem is given by the image presented at the end of the answer.

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The linear inequality represented by the graph is defined as follows:

y ≥ -2x + 1.

The ordered pairs that are solutions to the inequality x < -3 are given as follows:

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

For which the coefficients are given as follows:

The function in this problem crosses the y-axis at y = 1, hence the intercept b is given as follows:

b = 1.

When x increases by one, y decays by two, hence the slope m is given as follows:

m = -2.

The shaded region, considering the solid line, is given by the values to the right of the line, hence the inequality is defined as follows:

y ≥ -2x + 1.

The inequality for this problem is defined as follows:

x < -3.

The ordered pairs have the following format:

(x,y).

Hence all the ordered pairs that have x < -3, no matter the coordinate of y, are solutions to the inequality.

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Answer: 464

Step-by-step explanation: 232+232 = 464

Answer:

464 is answer very easy.........

Answer:

a) Yes

The experienced person costs more per hour, but also increases sales per customer. To determine if it is more cost-effective to hire the experienced person, you would need to calculate the net gain or loss from hiring them.

You can do this by multiplying the increase in sales per customer by the number of customers per hour, and comparing that to the difference in hourly wages.

(12 customers/hour * $3/customer) - ($19/hour - $13/hour) = $36/hour - $6/hour = $30/hour

Since the net gain is positive, it is more cost-effective to hire the experienced person.