Write the expressionFour subtracted from Y is greater than 29

Cindy was able to make $837 in commission thanks to her commission rate, which equates to $104.62 per hour.

Cindy is a travel agent. She receives a 9% commission based on the value of the trips she books. Today she spent eight hours arranging a $9,300 cruise for a newlywed couple

The commission that Cindy received can be determined by:

= Commission % x Price of booked trip

= 9% x 9,300

= $837

Consequently, the following is her hourly wage:

= Commission received / Hours worked

= 837 / 8

= $104.62

The bottom line is that  made $104.62 per hour plus $837 in commission.

Cindy was able to make $837 in commission thanks to her commission rate, which equates to $104.62 per hour.

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The average rate of change of the function over the interval is 1

From the question, we have the following parameters that can be used in our computation:

f(x) = x

The interval is given as

From x = 4 to x = 9

The function is a linear function

This means that it has a constant average rate of change

So, we have

f(4) = 4

f(9) = 9

Next, we have

Rate = (9 - 4)/(9 - 4)

Evaluate

Rate = 1

Hence, the rate is 12

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Answer:

fghwjklpkjqkhb cghdbhn bwn x wxhw hwbmx

Step-by-step explanation:

Given:

Discount = 40%

Sales tax = 7%

To find:

The total cost of levi jeans with an original price of x.

Solution:

Let x be the original price of the jeans. Then the price after 40% discount is

\(Price=x-40\%\text{ of }x\)

\(Price=x-\dfrac{40}{100}x\)

\(Price=x-0.4x\)

\(Price=0.6x\)

The price after 7% of sales tax.

\(Price=0.6x+7\%\text{ of }0.6x\)

\(Price=0.6x+\dfrac{7}{100}\times 0.6x\)

\(Price=0.6x+0.042x\)

\(Price=0.642x\)

Therefore, the total cost  of the levi jeans with an original price of x is represented by the expression 0.642x.

Answer:

234 ounces for 26 people

Step-by-step explanation:

45/5 = 9 ounces per person

(9)(26) = 234 ounces for 26 people

The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).

To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.

1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).

Therefore, 3 yards is equal to 3 * 36 = 108 inches.

Now, we can compare 108 inches to 3 yards 16 inches.

108 inches is equal to 3 yards, so it matches the given length.

To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.

Therefore, 3 yards 16 inches is equivalent to:

3 yards

108 inches

3 yards 0.44 yards (or approximately 3.44 yards)

108 inches 0.44 yards (or approximately 108.44 inches)

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The answer is 48. Becuase you need to multipluy and also didived the numbers by the quatum number of X.

Answer:

73.5

Step-by-step explanation:

HOYAAAAAAAAJIIJUJJ

Answer:

........the answer is 73.5

Answer:

5 sides

Step-by-step explanation:

the sum of the interior angle and exterior angle = 180°

sum the parts of the ratio, 2 + 3 = 5 parts , then

180° ÷ 5 = 36° ← value of 1 part of the ratio

exterior angle = 2 × 36° = 72°

the sum of the exterior angles of a polygon = 360°

since the polygon is regular then the exterior angles are congruent , so

number of sides = 360° ÷ 72° = 5

Answer:

21.6522 ft2 (square feet)

Step-by-step explanation:

Answer:

\(List = \{GBB; BGB; BBG; GGB; BGG; GBG; GGG\}\)

Step-by-step explanation:

Given

\(Children = 3\)

Required

List all cases of having at least 1 girl

We have:

\(B = Boy\)

\(G = Girl\)

For 1 girl, we have:

GBB; BGB; BBG

For 2 girls, we have:

GGB; BGG; GBG

For 3 girls, we have:

GGG

Hence, the list is:

\(List = \{GBB; BGB; BBG; GGB; BGG; GBG; GGG\}\)

Answer:

(x^2+3)^5/5 + C

Step-by-step explanation:

Here substitute u = x^2 + 3 , du/dx = 2x ---> dx= 1/2x du

Then: integral (u^4) du

Apply power rule: u^5/5

Then replace the substitution u=x^2+3 in u

= (x^2+3)^5/5 + C

The volume of the closet space = 207,936 in³

The volume of the one roll of toilet paper = 141.3in³

To calculate the volume of the closet, the formula that should be used is the formula for the volume of a rectangle = length×width×height.

Where;

length = 57 in

width = 57

height = 64

volume = 57×57×64 = 207,936 in³

The volume of the toilet paper with the shape of a cylinder would be = πr²h

where;

radius = diameter/2= 6/2=3in

height = 5 in

volume of cylinder = 3.14×3×3×5 =141.3in³

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Answer:

The width would be 5, and the length would be 15.

Step-by-step explanation:

To solve this problem, first look at the perimeter. If the perimeter of the rectangle is 40m, then we can now solve the problem.

Since we don't know the width or the length, first, say that the width is w.

Width=w

Now, since the length is three times the width, we can write 3w for the length.

Length=3w.

Now, combine like terms.

w+3w+w+3w=40

8w=40

Divide by 8 on both sides.

40/8=5

w=5.

Since now we know that the width is 5, plug in 5 for w.

3(5)=15

w=5

The width would be 5, and the length would be 15.

Hope this helps! Have a great day! :D

Answer:

Step-by-step explanation:

Let us assume that,

→ Perimeter = 40 m

→ Width = x

→ Length = 3x

Perimeter of rectangle formula,

→ P = 2(l + w)

Forming the equation,

→ 2(3x + x) = 40

Now the value of x will be,

→ 2(3x + x) = 40

→ 2(4x) = 40

→ 8x = 40

→ x = 40/8

→ [ x = 5 ]

Then the length and width is,

→ Width = x = 5 m

→ Length = 3x = 3(5) = 15 m

Hence, these are the answers.

80%

Step-by-step explanation:

to get a percentage it has to be ?/100

what times 5 gives you 100? 20

4 times 20? 80

80/100=80%

Answer:

thatl be 5

Step-by-step explanation:

Answer:

slope intercept form: y= -6x+3

point slope form: y-0= -6(x -1/2)

Step-by-step explanation:

point slope form: y - y1 = m(x - x1)

substitute the values  y-0=-6(x-1/2)

slope intercept form:

find the slope using two given points

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

= (3 - 0) / (0 - 1/2)

= 3 / (-1/2)

= -6

substitute into equation

y= -6x+3

Answer:

All work shown in image...

Step-by-step explanation:

Answer:

$46.74

Step-by-step explanation:

$27.98

$18.76

______

$46.74

Answer:

Step-by-step explanation:

Hello!

Tourists that visit Thailand are exposed to being bitten by a stray dog.

People that get bitten by a stray dog are at risk of getting rabies.

1) So you can determine two possible events that may happen:

A: The tourist got bitten by a stray dog.

B: The tourist got rabies.

2)

a.

"13 out of 1000 tourists get bit by a dog"

P(A)= 0.013

b.

"The percentage of tourists who have been bitten by a dog that get rabies is 15%" i.e. Given that the tourist was bitten by a dog, he got rabies. This is a conditional probability, is the probability of "B" given that "A" has already happened:

P(B|A)= 0.15

c.

"Ninety-nine percent of tourists who do not get bit by a dog will not get rabies."

The event "The tourist did not get bitten by a dog" is complementary to "A", so I'll symbolize it as: \(A^c\)

The event "The tourist did not get rabies" is complementary to the event "B", so I'll symbolize it as \(B^c\)

\(P(B^c|A^c)= 0.99\)

3) See attachment for table

P(A)= 0.013 ⇒ P(\(A^c\))= 1 - 0.013= 0.987

P(A∩B)= P(B|A)*P(A)= 0.15*0.013= 0.00195 = 0.002

P(A∩\(B^c\))= P(A) - P(A∩B)= 0.013-0.00195= 0.01105 = 0.011

\(P(B^c|A^c)= 0.99\)

P(\(B^c\)∩\(A^c\))= P(\(A^c\)) * \(P(B^c|A^c)\)= 0.987*0.99= 0.977

P(\(B^c\))= P(A∩\(B^c\)) + P(\(B^c\)∩\(A^c\))= 0.011 + 0.977= 0.988

P(B∩\(A^c\))= P(\(A^c\)) - P(\(B^c\)∩\(A^c\))= 0.987 - 0.977= 0.01

5) P(B)= P(A∩B) + P(B∩\(A^c\))= 0.002 + 0.01= 0.012

4) Attch

6)

P(A|\(B^c\))= P(A∩\(B^c\)) = 0.011   = 0.0111

                   P(\(B^c\))       0.988

I hope this helps!

Answer:

Step-by-step explanation:

$100x0.5x1=$5

Answer:

Step-by-step explanation:

Finding the hypotenuse of the triangular side :

Finding Surface Area :

Finding Volume :

The solution of the given algebraic expression is: ⁷/₁₂ + ⁴/₆q

We are given the algebraic expression as:

¹¹/₁₂ - ¹/₆q + ⁵/₆q - ¹/₃

Combining Like terms gives us:

(¹¹/₁₂ - ¹/₃) + (⁵/₆q - ¹/₆q)

Solving both brackets individually gives us:

((11 - 4)/12) + ⁴/₆q

= ⁷/₁₂ + ⁴/₆q

Thus, we conclude that is the solution of the given algebraic expression problem

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First, we assume that this conclusion is false. In other words, we assume that the contrary statement "none of the two angles has measure \(90^{\circ}\) or greater" is true.

The assumption is equivalent to the following two statements:

(1) \(m\angle A\text{ } \boxed{ < 90^{\circ}}\)

(2) \(m\angle B\text{ } \boxed{ < 90^{\circ}}\)

Using (1) and (2) and the addition properties of inequalities, we conclude that \(m\angle A+m\angle B \text{ } \boxed{ < } \text{ } 180^{\circ}\).

On the other hand, two adjacent angles form a linear pair. Thus, the last statement contradicts the Linear Pair Property, which states that for a linear pair of angles \(\angle A\) and \(\angle B\), \(m\angle A+m\angle B \text{ } \boxed{=} \text{ } 180^{\circ}\).

Therefore, the assumption made is false, and the statement "at least one of the angles \(\angle A\) and \(\angle B\) has measure \(90^{\circ}\) or greater" is true.

It is not possible to find a combination using addition and multiplication of the given single-digit numbers that totals exactly 100 while keeping the same order.

To combine the single-digit numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 using only addition and multiplication so that they total 100 while keeping the same order, we can form the following expression:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9

In this expression, we group the numbers 7 and 8 together to form 78. Then, we add all the other numbers from 1 to 6 and the number 9. Adding them up, we get:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9 = 108

Unfortunately, the sum obtained from this expression is 108, not 100 as required.

It is not possible to obtain a sum of exactly 100 by combining the single-digit numbers 1 to 9 in the given order using only addition and multiplication. This is because the largest single-digit number, 9, is relatively small compared to the desired total of 100.

Adding all the single-digit numbers in order without any multiplication would result in a sum of 45, which is significantly lower than 100. Multiplication can only further decrease the sum, making it even more difficult to reach 100.

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Answer:

Step-by-step explanation:

Linear functions can be used in many real-world applications such as:

Economics: Linear functions can be used to model the relationship between the price of a product and the quantity of the product that will be sold.

Engineering: Linear functions can be used to model the relationship between force and displacement in elastic materials.

Sciences: Linear functions can be used to model the relationship between the concentration of a substance in a solution and the time it takes for that substance to be consumed or produced.

Business and Finance: Linear functions can be used to model the relationship between the cost of a product and the number of products produced.

Graphing: Linear functions can be used to graph the relationship between different variables.

Transportation: Linear functions can be used to model the relationship between the distance traveled and the time it takes to travel that distance at a constant speed.

Construction: Linear functions can be used to model the relationship between the height of a building and the number of floors in the building.

Weather forecasting: Linear functions can be used to model the relationship between temperature and time of the day.

I'm going to provide a real life case for this answer. I own and manage an online soccer jersey store and the process behind it is quite simple:

1. Receive order

2. Buy jerseys from supplier

3. Resell at an slighly higher price

4. Pay taxes + shipping

Now, say that "x" is the amount of jerseys my store sells in a month. I can use functions to create an expression that tells me what is the total net revenue I get from selling "x" amount of jerseys a month.

For example, say that the jerseys cost $50 and you sell them for 60$. You also need to pay the shipping for each jersey (say it is $5 per jersey). Then, we can form a function like this:

\(y=60x-50x-5x\)

As you can tell, the money that comes back to the seller ($60 dollars per jersey) is expressed as a possitive coefficient for variable "x" (number of sold jerseys). And, all the other costs, which is money that you spend in order to sell the jerseys, are expressed with a negative coefficient meaning that they are not net revenue, it isn't profit. Now, to see how much money you can make by selling 2 jerseys, simplify the function and substitute variable "x" (number of sold jerseys) by 1:

\(y=60x-55x\\ \\y=5x\)

Say "y" is the net revenue:

\(y=5(2)\\ \\y=10\)

You can also use functions to determine things such as, how many jerseys do I need to sell in order to make $750 of net revenue? In that case you do the following:

\((750)=5x\\\\x=\frac{750}{5} \\ \\x=150\)

From this analysis, you can conclude that you need to sell 150 jerseys ij order to amke a net revenue of $750.

In conclusion, linear functions can be used to see how a variable value (normally called "x") can affect in the results in multiple daily situations: how many miles can your car run with a full tank, how much time do I need to work so I can buy a product, how much money I can spend in something so I can have saving of "x" amount at the end of the year, etc...

Answer:

option C

Step-by-step explanation:

x + 5 <= 1

taking down 5 from both the sides

x + 5 - 5 <= 1 - 5

x <= -4 ...inequality (¡)

x - 7 > -3

taking down -7 from both the sides

x - 7 + 7 > -3 + 7

x > 4 ...inequality (¡¡)

hence, the answer is x <= -4 or x > 4

and it's graph is that of option C.

options A and C displays the same graphical representation but A ain't correct cause the inequality it carried does match with the one obtained as answer.

<= denotes less than or equal to

to plot x <= a

we move towards the left of "a" on the number line it and place a dot on a

> represents greater than

to plot x > b

we kove towards the right of "b" on the number line and place a hollow point on b.

Considering the definition of an inequiality, the result of the inequality is x≤ -4 or x>4. So, the correct answer is option C.

An inequality is an algebraic inequality in which its two members are joined by one of these signs >, <, ≥ and ≤ in which there are one or more unknown values ​​called unknowns, in addition to certain known data.

The existing inequality between the two algebraic expressions is only verified, or rather, it is only true for certain values ​​of the unknown.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

First of all, keep in mind that when a value that you are adding passes to the other side of the inequality, it will do so by subtracting.

Solving in this case: x≤1 -5

x≤ -4

Solving x -7> -3

If a value you are subtracting goes to the other side of the inequality, it will do so by adding.

Solving in this case: x> -3 +7

x>4

In summary, the result of the inequality is x≤ -4 or x>4. So, the correct answer is option C.

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Answer: b. 11.234

Step-by-step explanation:

used ti84

put in values in list 1

go into 1-var stats

find Sx which is the stand dev for sample