Bess and Carolina and their 14 classmates write their names on cards. The teacher, Miss Scott, picks two cards without replacing the first card. What is the probability that Bess is chosen first and Carolina is chosen second?

The given equation t = s/5 represents a proportional relationship and the value of the constant of proportionality is 1/5.

The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.

Proportional relationships are written in the form y = kx

where k is the constant of proportionality.

The given equation below which is given in the question:

t = s/5

The above equation represents a proportional relationship.

According to the given question, k = 1/5 so the answer is 1/5.

Thus, the value of the constant of proportionality is 1/5.

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Answer:

[tex]A(t) = a(1+r)^t\\\\A(10) = 2000( 1+ .04)^{10}\\\\[/tex]

        = $2960.49

option  1

Answer:

7 feet

Step-by-step explanation:

Answer:you just have to find the slope

Step-by-step explanation:

so all you have to do is start by doing y=Mx+b. You start by placing down you b point on the y axis and then Do your Mx it should look something like this

A) The model that expresses the revenue R as a function of x is R(X) = -1/7x + 200

B) The domain of R is (-∞, +∞)

C) If 200 units are sold, then the revenue is $228.57

D) The quantity that maximizes revenue is 200 and the maximum revenue is $228.57

E) The price should the company charge to maximize revenue $228.57

Here we have given the function that can be model  that expresses the revenue R as a function of x is written as,

=> R(X) = -1/7x + 200

Here the domain value of R has take the value from negative infinity to positive infinity.

When we take the value of x as 200, then the revenues of the sold goods is calculated as,

=> R(200) = -1/7 (200) + 200

When we simplify this one then we get the value of R as

=> R = 28.57 + 200

=> R = 228.57

As per the given function the maximum number of units sold is written as 200, and the maximum revenue is written as 228.57

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Answer:

the Total surface area is your answer. it is 708.4 meters squared.

Step-by-step explanation:

see answer above.

The equivalent form   [tex][latex] {{8}^{\frac{1}{3}}}[/latex][/tex]can be determined where the origin of the numerator of 1.

When rewriting a radical with a fractional exponent, the numerator is the power to which the radicand is increased, and the denominator is the root or index.

The link between [tex][latex] \sqrt[n]{{{a}^{m}}}[/latex]and [latex] {{a}^{\frac{m}{n}}}[/latex][/tex]also applies to rational exponents with a numerator of 1. For instance, the radical [tex][latex] \sqrt[3]{8}[/latex][/tex]

can also be expressed as [tex][latex] \sqrt[3]{{{8}^{1}}}[/latex][/tex].

Since any number retains its value when raised to the first power, [/latex]. Now that you have the equivalent form of [tex][latex] {{8}^{\frac{1}{3}}}[/latex][/tex], you can determine where the origin of the numerator 1.

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Answer:

9

Step-by-step explanation:

Angles should be equal

According to the probability, there are 540 arrangements that can the cars stack up so that all three lanes are occupied.

Mathematicians use addition and division as well as counting to calculate probability.

There are three partitions of six using digits 1-3.

(4,1,1), (3,2,1), (2,2,2) (2,2,2)

These could be dispersed between the lanes in order that

(3) Possible solutions to (4,1,1)

There are six possible ways to solve the equation (3,2,1).

There is only one possible solution to the equation (2,2,2).

Cars must now move in the lanes in proper order.

The arrangements for (4,1,1) will be 6C4 * 2C1 = 30. Six cars are chosen, sorted, and placed in the appropriate lanes. then decide on 1 of the 2 surviving vehicles.

then place it in a lane.

The arrangements for (3,2,1) will be 6C3 * 3C2 = 60.

There will be 6C2 * 4C2 = 90 arrangements for (2,2,2).

Consequently, there will be 540 arrangements (3*30 + 6*60 + 1*90 = 90+360 + 90).

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The equation equivalent to the equation x + y = 3 is 6x + 6y = 18.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

x + y = 3

Multiply 6 on both sides.

6x + 6y = 18

Thus,

The equation that is equivalent is 6x + 6y = 18.

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Answer:

3 units

Step-by-step explanation:

I'm not sure how to explain it but I hope it helps.

Step-by-step explanation:

Since there is one tick, use LM and HG. but in some cases it doesnt matter

Answer:

[tex] \sf \: h(-3) = 13[/tex]

Step-by-step explanation:

Given information,

→ h(a) = a² + 4

The value of h(a) when a is -3,

→ h(a) = a² + 4

→ h(-3) = (-3)² + 4

→ h(-3) = 9 + 4

→ [ h(-3) = 13 ]

Hence, required answer is 13.

Answer:

211

Step-by-step explanation:

Considering c as center and WZ is a straight line with 180 degrees

the measure of XWZ is equal to 211

Answer:

"equivalent"

Step-by-step explanation:

Right!!

Answer:

Ricky 1292 Pedro 1569

Answer: Ricky had 1292, Pedro had 1569.

Step-by-step explanation: First, you subtract 277 from 2861, then divide that by 2 to find how many hits Ricky had. You then add back the 277, and you get Pedro’s hits.

A pentagonal prism have 35 diagonals.

We know tha in a polygon or polyhedron the formula for finding the number of diagonals is: n(n-3)/2,

where n= the number of sides

We find the number of diagonals of a pentagonal prism.

As we know a pentagonal prism has two pentagonal bases like top and bottom and five rectangular sides.

For a pentagonal prism n = 10

So, using above formula the total number of diagonals would be,

d = [10 × (10 - 3)] / 2

d = (10 × 7) / 2

d = 70/2

d = 35

Therefore, the total number of diagonals would be = 35

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Answer:

Step-by-step explanation:

Solve this by writing an equation of ratios:

 1        a

----- = -----

√3     5

                                        5

Then 5 = √3*a, or a = -----------

                                       √3

                                                        5√3

Rationalize the denominator:  a = ----------

                                                             3

Answer:

XXXXXXXXXXXXXXXXXXXX Ion know

Answer:

The answer is $28,620.

Step-by-step explanation:

$53,000 * 2.7% = 1431

$1,431 * 20 = $28,620

Hope this helped you!!!

The inequality when apples cost $3 and oranges cost $2 and Aleris can spend no more than $24 on the gift is 3a + 2o ≤ 24.

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.

In this case, Aleris is sending a fancy organic fruit basket to her grandma for her birthday. apples cost $3 and oranges cost $2 and Aleris can spend no more than $24 on the gift.

Let apple = a

Let orange = o

Therefore, the inequality will be:

3a + 2o ≤ 24.

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Answer:

15y - x

Step-by-step explanation:

(-4x + 6y) - (-3x - 9y) = -4x + 6y + 3x + 9y

combine like terms:

15y - x

The inverse of +5 as calculated is found to be +1 / 5.

To find the inverse of +5 we can simply reciprocate it and the result will be the required answer.

reciprocal of +5 = 1 / 5.

Therefore, the answer is 1 / 5.

The opposite or reciprocal of a number or term in math is known as it's inverse. There are two types of inverse in math, the additive inverse and the multiplicative inverse.

The multiplicative inverse of a number for any n is given as 1/n.  It is also called as the reciprocal of a number and 1 is called the multiplicative identity. On the other hand subtraction is the inverse of addition.

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[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here's the solution ~

The two triangles in the shown figure are similar, therefore conclusion can be made that :

Ratio of its it's corresponding sides is equal.

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2x - 4 + 6}{6} = \dfrac{24}{4} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2x + 2}{6} = 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x + 2 = 6 \times 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x + 2 = 36[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x = 36 - 2[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x = 34[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 17[/tex]

Therefore, The value of x is " 17 "

Now, the measure of side BC is :

[tex]\qquad \sf  \dashrightarrow \: 2x - 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 (17) - 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: 34 - 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: 30 \: \: units[/tex]

So, its perimeter will be :

[tex]\qquad \sf  \dashrightarrow \: p = AB + AB + BC [/tex]

[tex]\qquad \sf  \dashrightarrow \: p = 24 + 26 + 30[/tex]

[tex]\qquad \sf  \dashrightarrow \: p = 80 \: \: units[/tex]

Answer:

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

According to Triangle Proportionality Theorem we have the following equal proportions:

The missing side is:

The perimeter is:

Answer:

????

Step-by-step explanation:

Answer:

24/25

Step-by-step explanation:

Please see the attached image.

The cosine of an angle is the adjacent side relative to that angle over the hypotenuse.

Answer: 24/25

Answer:

answer y= 3x +5

Step-by-step explanation:

-6x+2y=10

we need to get y by itself so move the -6x to the other side

you get

2y=6x+10

divide everything by 2

2y/2=6x/2+10/2

y= 3x+5

On solving the provided question, by properties of parallel lines we got to know that -  1 - A  2 - C  3 - B  4 - D

When two or more lines cross the intersection line, alternate exterior angles result. These angles are created on a number of sides outside the transverse lines. Any two parallel lines that cross one another create two angles with the horizontal line. In the area between the parallel lines, interior angles are formed, while alternate exterior angles are formed in the area outside the parallel lines.

Matches are -When two parallel lines cross one other, the horizontal line is divided into two angles. Interior angles develop between the parallel lines, whereas alternative outside angles develop outside the parallel lines.

1 - A

2 - C

3 - B

4 - D

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Where m and c are integers or fractions, the equation of a straight line in the form of y = mx + c becomes y = x/2 + 8.

A straight line is made up of many points connected at each end. Any straight line's slope, m, is determined by the formula. The slope-intercept formulation of a linear equation is y = mx + b. The equation's variables are X and Y. The slope of the line (m) and the value of y when x is 0 are represented by the values m and b, respectively.

[tex]m = \frac{y2-y1}{x2 - x1}[/tex]

given

the graph is,(0,8) and (9,2)

The slope of the line is,

m = 1/2

Because it crosses the y-axis at the point where the intercept C is equal to 8,

The equation of the line will be :

⇒ y = mx + c

⇒ y = (1/2)x + (8)

⇒ y = x/2 + 8

Where m and c are integers or fractions, the equation of a straight line in the form of y = mx + c becomes y = x/2 + 8.

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