how many ways can a president, vice president, and secretary be chosen from a committee of 9 people, assuming one person cannot hold more than one position?

Answer:

55

Step-by-step explanation:

that’s if you meant the interest rate is 3 3/8 for compounded continuously and 3 1/8 for compounded monthly

The up front payment costs $34.5 while the payment per miles driven is $0.5

We are told that when renting a vehicle from Schrader car rental, a customer pays a fee up front, and is also charged for miles driven when they return.

Let the amount paid up front be x and let the amount paid per mile driven be y.

Thus, the equation for Henry will be;

x + 85y = 77   -------(1)

The equation for Marcia will be;

x + 115y = 83   ------(2)

Subtract eq 1 from eq 2 to get;

30y = 6

y = 6/30

y = $0.5

Thus;

x + 85(0.5) = 77

x = 77 - 42.5

x = $34.5

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Complete question is;

When renting a vehicle from Schrader car rental, a customer pays a fee up front, and is

also charged for miles driven when they return. Henry drove 85 miles and his rental bill

was $77. Marcia drove 115 miles and her rental bill was $83.

What is the up fronmt cost and the cost per miles driven

The total cost in dollars of 7 boxes of cookies is; $24.50

From the attached table, we see the following coordinates that represents number of boxes (n) and total cost (c in dollars);

(3, 10.5)

(4, 14)

(5, 17.5)

(9, 31.50)

Now, let us find the slope with two coordinates using the formula;

slope = (y₂ - y₁)/(x₂ - x₁)

Let us use the first two coordinates to get;

Slope = (14 - 10.5)/(4 - 3)

Slope = $3.5

Thus, this is the cost of each box

Thus, for 7 boxes, the cost = 3.5 * 7 = $24.5

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Answer:

Team A catches up to B in 2 hours, at the 11 mile mark

Step-by-step explanation:

(5.5 mi/hr)(x) = (4 mi/hr)(x) + 3 mi

(1.5 mi/hr)(x) = 3 mi

x = 3/1.5 = 2 hours

Answer:

(1,0) and (-3,0)

Step-by-step explanation:

Answer:

...…...................c = 50

Answer:

y=2/5x + 33/5

Step-by-step explanation:

To find the equation of the line that passes through the point (-9,3) and is perpendicular to y = 1/2x + 6, we can first find the slope of the given line y = 1/2x + 6. The slope of a line is equal to the rise (the change in the y-coordinate) divided by the run (the change in the x-coordinate), so we can find the slope of the line y = 1/2x + 6 as follows:

Slope = (change in y) / (change in x)

= (1/2 - 6) / (1 - 0)

= -5/2

Since the line we are looking for is perpendicular to the line y = 1/2x + 6, its slope must be the negative reciprocal of the slope of y = 1/2x + 6. The negative reciprocal of a number is equal to the negative of the reciprocal of the number, so the slope of the line we are looking for is equal to -1 / (-5/2) = 2/5.

Next, we can use the point-slope form of a line to find the equation of the line that passes through the point (-9,3) and has a slope of 2/5. The point-slope form of a line is given by the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. Substituting the values for the given point and the slope into this equation, we get:

y - 3 = 2/5(x - (-9))

y - 3 = 2/5(x + 9)

Next, we can distribute the 2/5 on the right-hand side of the equation to get:

y - 3 = 2/5x + 18/5

Finally, we can combine like terms on both sides of the equation to get the final equation of the line:

y=2/5x + 18/5 + 3

y=2/5x + 33/5

Answer:

Math Expert Answer

Step-by-step explanation:

52 cans in total separated into x number of bags.  52/x with x being the number of bags.

Answer:

c = 52/x

Step-by-step explanation:

We have 52 total cans and x bags of with an equal amount of cans in each.

Thus, we would have c = 52/x cans per bag. This is probably the answer you are looking for.

However, this can evaluate to a fractional number of cans, so you may be looking to round that answer down to an integer. In that case, the answer would be c = ⌊52/x⌋, which is solving for the greatest integer less than the value of 52/x

The total surface area of a solid quarter-cylinder is 10(13π + 32) cm².

Given:-

The radius of a solid quarter-cylinder = 10 cm.

Height of solid quarter-cylinder = 16 cm.

To calculate the surface area we have a formula:-

Total surface area of solid quarter-cylinder = (TSA of cylinder / 4) + 2(Area of rectangle)= 2πr(h + r)/4 + 2(r * h) = πr(h + r)/2 + 2rh .

Solution:-

r = 10 cm.

h = 16 cm.

So,

→ Area of rectangle so formed = r * h = 10 * 16 = 160 cm².

then,

→ Area of two rectangles so formed = 2 * 160 = 320 cm².

Therefore,

→ Total surface area of solid quarter-cylinder = πr(h + r)/2 + Area of two rectangles.

→ Total surface area of solid quarter-cylinder = π * 10 * (10 + 16) / 2 + 320

→ Total surface area of solid quarter-cylinder = 5π * 26 + 320

→ Total surface area of solid quarter-cylinder = 5(26π + 64)

→ Total surface area of solid quarter-cylinder = 5*2(13π + 32)

→ Total surface area of solid quarter-cylinder = 10(13π + 32) cm².

Hence, the Total surface area of a solid quarter-cylinder is 10(13π + 32) cm².

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The property illustrated in the statement "If ∠A ≅ ∠B, ∠B ≅ ∠C, then ∠A ≅ ∠C" is the Transitive Property.

This property states that if two elements are related by a certain relationship, and another element is related to the second element by the same relationship, then the first and third elements are related by the same relationship.

In this statement, the relationship is that of congruency, meaning that each angle has the same measure. Therefore, the Transitive Property states that if angle A is congruent to angle B, and angle B is congruent to angle C, then angle A is congruent to angle C.

The other three properties listed do not apply to this statement. The Reflexive Property states that a given element is related to itself by a certain relationship, which does not apply to this statement.

The Symmetric Property states that if two elements are related by a certain relationship, then the two elements are related to each other in the same way, which is not applicable in this statement.

Lastly, the Addition Property states that the sum of two elements related by a certain relationship is related to the two elements by the same relationship, which is not applicable in this statement.

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Saturn's distance is 9.5 farther from the Sun than the earth.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Earth's distance from the sun = 1.496 x [tex]10^8[/tex] km

Saturn's distance from the sun = 1.4246 x [tex]10^9[/tex] km

Divide Saturn's distance by Earth's distance.

= 1.4246 x [tex]10^9[/tex] / 1.496 x [tex]10^8[/tex]

= 9.5

We see that,

Saturn's distance from the sun x 0.95 = Earth's distance from the sun.

Thus,

Saturn's distance is 0.95 farther from the sun.

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The expected gain after 16 tosses of the coin is $400.

Let x stand in for your entire savings.

There is a 0.5 likelihood of heads and a 0.5 possibility of tails. (equally likely events).

The value of accepting this offer is 1.5. The formula is as follows:

2 heads.

0.5 = P(Heads)

Value anticipated if the coin came out heads: 2x*0.5 = x

Plus

(1 - 0.5)x = 0.5x for tails.

0.5 = P(Tails)

Value anticipated if the coin came up tails: 0.5x*0.5 = 0.25x

Total projected value is equal to 1.25x.

For x = $20

Thus,

Amount = 1.25(20) = $25.

Thus, for the 16 tosses = $25 x 16 = $400.

Therefore, the expected gain after 16 tosses of the coin is $400.

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Answer: D

Step-by-step explanation:

A function in a set of ordered pairs cannot have repeating x values

A have a repeated x values of -12

B have a repeated x values of 8

C have a repeated x values of 13

D does not have a repeated x value.

D is the correct answer.

The angles α = 16°, β = 38° and γ = 126° can construct a triangle. (Correct choice: B)

In this problem we find the measures of three angles that must be proved to be part of a given triangle. The angles are part of a triangle if and only if the sum of the measures equals 180°. If we know that α = 16°, β = 38° and γ = 126°, then the sum of the measures is:

x = α + β + γ

x = 16° + 38° + 126°

x = 180°

As the sum of the measures of the three angles equals 180°, then the given angles can construct a triangle.

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Answer:

x=2/3 or x=1

Step-by-step explanation:

Factor 3x² and 2

Answer:

Step-by-step explanation:

Enter the value of x below.

x + 9 = 12​

x = 12 - 9

x = 3

-----------------------------------------------

check

3 + 9 = 12

12 = 12

the answer is good

Answer:y=3x+32

Step-by-step explanation:Hope this helps

The inequality which represents the given phrase is 1/2(3x - 2/3) + 6 ≤  x+5​ and the solution are x ≤ -4/3.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given,

1/2(3x - 2/3) + 6 ≤  x+5​

3/2 x - 1/3 + 6 ≤  x+5​

3/2 x + 17/3 - x ≤ 5

x/2 ≤ -2/3

x ≤ -4/3

Hence "The inequality 1/2(3x - 2/3) + 6 ≤ x+5 represents the provided sentence, and the answer is x ≤  -4/3.".

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The surface area of a cylinder with a volume of 18 cubic units and a radius of 3 units is 18π +12.

What is the surface area of the cylinder?

The quantity of space enclosing a three-dimensional shape's exterior is its surface area. The area of the cylinder is determined by adding the areas of its two circular bases and curving surface.

Here, we have

Given

The surface area in square units of a cylinder with a volume of 18 cubic units is a function of its radius r in units

where s(r)=2πr² + 36/r ....(1)

Now, we put the value of r = 3 in equation (1) and we get

s(r)=2π(3)² + 36/3

s(r) = 18π + 12

Hence, the surface area of a cylinder with a volume of 18 cubic units and a radius of 3 units is 18π +12.

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Answer: Ben paid the most

Step-by-step explanation: Okay, to find the prices of the 4, we need to follow what the problem says. So, we know Hannah paid 21, so we know that is how much she paid. Now, we need to find 1/3 of the total cost ($64.80) So, we do 1/3 divided by $64.80 and get $21.60. For Stephanie, we need to find 15% of $64.80, so we can write it as a proportional relationship, so 15 x $64.80 / 100 is 9.27. (as a decimal) Now, we subtract all of those numbers from the total cost ($64.80) to find Brayden's pay. After I subtracted all of the amounts, I got $12.93. I'll list all the amounts.

Hannah - 21

Ben - 21.60

Stephanie - 9.27

Brayden- 12.93

So, as we see Ben paid the most. I hoped this LONG explanation helped you!

it should be ben.

Hannah paid $21;

ben paid 1/3 of 64.80 and that's $21.6 (64.84÷3);

Stephanie paid 15% of $64.80 and that's $9.72 (15÷100×64.80);

Brayden paid $12.48 [64.80-(21+21.6+9.72)].

hope I helped (btw sorry for any mistake english isnt my forst language)

Add 5 to 2 = 2 will make 7 = 7 a true statement and adding 5 to 2 ≠ 3 to make 7 ≠ 8 will make a true statement.

A way to express or represent numbers is through the number system.

We often employ decimal numbers because they are so widely used.

The Number System includes any of the several sets of symbols and the rules for using them to represent numbers.

(1)

As per the given,

2 = 2

Add 5 on both sides of the above equation,

2 + 5 = 2 + 5

7 = 7 (True)

(2)

As per the given

2 ≠ 3

Add 5 on both sides of the above equation,

2 + 5 ≠ 3 + 5

7 ≠ 8 (True)

Hence "It is correct that if you add 5 to 2 = 2, you will get 7 = 7, and if you add 5 to 2 ≠ 3, you will get 7 ≠ 8".

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Answer:

The coordinates of B is (4, 7)

Step-by-step explanation:

To find the answer for B, you have to do the inverse of the midpoint formula, which is M equals (x1 multiplied by x2, over 2; y1 multiplied by y2, over 2).

If you substitute in A's coordinates for x1 and y1, you come up with (3, 3) = (2+x, over 2; and -1+y, over 2)

If the x coordinate answer for AB was 3, you can create an equation like this to solve for B's x coordinate: 2+x over 2 equals 3.

         you multiply 2 by 3 to get 6---> 2+x=6-----> x=4

If the y coordinate for AB was also three, you can create another equation to solve for B's y coordinate: -1+y over 2 equals 3.

        you multiply 2 by 3 to get 6 again---->so -1+y=6---->y=7

so the answer for B's coordinates is (4, 7).

Answer:

--------------------------

Given:

Find the coordinates of the other end point B.

Use midpoint equation, considering point B as (x, y):

Therefore the point B has coordinates of (4, - 5).

Answer:

Step-by-step explanation:

The answer is that yes it is because a pentagon has three triangles inside it  and a triangle is equal to 180 degrees so you times 180 times three and you get 540 degrees so yes that is correct!

Answer:

Step-by-step explanation:

Answer: There is one candle for each night of Hanukkah, and the ninth candle, which sits in the middle, is known as the shamash, which translates to attendant or servant candle. This candle is lit first and is used to light the others.

Step-by-step explanation:

From the truth table, the values for p v (p→q) are all true. Therefore, this proposition is considered a tautology.

A statement or formula that is true under every scenario is referred to as a tautology. For example, the bag is red or it is not. Whatever the color of the bag, these two statements are true.

Construct a truth table for the given propositions. From the table, we can tell that the proposition p v (p→q) is in tautology. Because whatever the value of p and q, the result is true for this proposition.

Therefore, the correct option is option c.

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[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{0}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~6 - 0~~)^2 + (~~1 - 9~~)^2} \implies d=\sqrt{(6 +0)^2 + (1 -9)^2} \\\\\\ d=\sqrt{( 6 )^2 + ( -8 )^2} \implies d=\sqrt{ 36 + 64 } \implies d=\sqrt{ 100 }\implies d=10[/tex]

Answer:

height: 27 area: 176

Step-by-step explanation:

The size of the angles is measured in the form of degrees by using a protractor and compass.

The symbol for degrees is a little circle °.

A protractor is a tool that measures the number of degrees in an angle.

To measure an angle with a protractor:

Most protractors have two number scales. It's important to use the same number scale for both sides of the angle.

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