The lengths of the three sides of a triangle (in centimeters) are consecutive odd
integers. If the perimeter is 45 centimeters, find the value of the shortest of the three
side lengths.

Answer:

You have to give proof of why the question is true by slowly giving facts about the angles

Step-by-step explanation:

The constant of proportionality is 28.2.

It should be noted that the miles driven and the number of gallons used has been given.

Therefore, the constant of proportionality will be:

= Miles driven / Gallons used

= 930.6 / 33

= 28.2

Therefore, the constant of proportionality is 28.2.

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This situation can be represented by the function f(x)=1000+150x.

Linear Equation can be defined as the equation that have  highest degree 1.

For Example : 3x+6 is a linear equation as it's highest degree is 1.

In the given question

Total money saved=initial amount+(money saved per week)*(number of weeks)     …(1)

Given that

Jessica already saved = $1000

money to be saved per week = $150

let the number of weeks she will be saving money =x

let f(x) be the function used to represent money saved

Substituting the values in eqn (1) we get

f(x)=1000+150(x)

Therefore , this situation can be represented by the function f(x)=1000+150x.

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Answer: hi! for the denominators (5, 9, 7) the least common multiple

Step-by-step explanation:

(LCM) is 315.

LCM(5, 9, 7)

Therefore, the least common denominator (LCD) is 315.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

3/5 = 3/5 × 63/63 = 189/315

4/9 = 4/9 × 35/35 = 140/315

6/7 = 6/7 × 45/45 = 270/315

Ralf receives total amount of 38$.

Susie receives total amount of 19$.

Raff gets 2x

Suzie gets x

2x + x = 57 dollars

3x = 57 dollars

x = 19 dollars

2x = 38 dollars

Aggregation attempting to calculate the time it will take by looking at the overall number or quantity.

To sum up to a total is the definition of amount. A restaurant bill for four individuals that totals $50 is an example of the costs of four meals that come to $50.

To achieve success or importance. The words "amount to anything" or "amount to something," which both indicate the same thing, are almost always used.

Amount can be a noun or a verb, as was said above. Use of the noun: Add a little water to the dish. The quantity of food required vary each dog. It is three bucks and change, to be exact.

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Classify the number -25.

Natural, Whole, Integer, Rational, Irrational.

25 is a rational number. This number is a whole that may be expressed as the fraction 25/1.

This wouldn't be a natural number because -25 is a negative number.

Since -25 isn't a positive number, this wouldn't be a whole number.

the whole number 85 is -85, which is a negative number. -85 is consequently an integer. Negative numbers are rational numbers.

square integers are frequently irrational, -25 is a square root.

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(D) the floor of a classroom is a perfect example of a line segment.

Therefore, (D) the floor of a classroom is a perfect example of a line segment.

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The correct form of the question is given below;
Which is an example of a line segment?

(A) the edge of a book

(B) the corner of a box

(C) a beam of light

(D) the floor of a classroom

Answer: 2y-13

Step-by-step explanation: 2y => double of lenght
-13 => less than

Answer: 36

Step-by-step explanation: the reason why is that if each hour there is 12 commercials then by the third hour there will be 36 we can also use multiplication 12x3=36  I hope that helps

300 teenagers went to the zoo.

given that

Tickets to the zoo cost $4 for children.

Tickets to the zoo cost $5 for teenagers.

Tickets to the zoo cost $6 for adults.

1200 people come to the zoo every day.

on a certian day, the total revenue at the zoo was $5300.

Let the number of adults be x.

The number of teenagers be y.

and the number of children that went to the zoo 8y/3.

Consider the question

1200 people come to the zoo every day.

x + y + 8y/3 = 1200

now, take L.C.M between y and 8y/3

[tex]x + \frac{(3y + 8y)}{3} = 1200 \\ x + \frac{11y}{3} = 1200[/tex]

now multiply with 3 to this equation.

3x + 11y = 3600 .......................(1)

tickets to the zoo cost $4 for children, $5 for teenagers and $6 for adults.

according to the question

6x + 5y + 32y/3 = 5300

Now take the L.C.M between 5y and 32y/3

6x + 47y/3 = 5300

now multiply with 3 to this equation.

18x + 47y = 15900 ...................(2)

now, multiply equation (1) with 6

18x + 66y = 21600 .....................(3)

now, subtract equation (1) in equation (2)

(18x - 18x) + (66y - 47y) = (21600 - 15900)

19y = 5700

y = 5700/19

y = 300

Hence, the 300 teenagers went to the zoo.

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The coins that represent the 20 5 of her coins that is 280 are 56 coins.

We know that:

Fatoumata has a collection of 280 coins.

Now, we need to tell how many coins will be its 20 %.

For this we will calculate 20 percent of 280

So, number of coins = N will be:

N = 20 % of 280

N = 20 % × 280

N = 20 / 100 × 280

N = 2 × 28

N = 56 coins

Therefore, we get that, the coins that represent the 20 5 of her coins that is 280 are 56 coins.

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Answer: 44

Step-by-step explanation: basically replace b with 6 and a with 4 in the expression 8b-a, which turns out to be 8(6)-(4). We're subtracting 4 from the product of 8(6), which is 48. 48-4 = 44

Answer:

"Wooden leg" is the correct answer.

Answer:

m<ABD = 24°

m<DBC = 119°

Step-by-step explanation:

m<ABD + m<DBC = m<ABC

2x - 40 + 3x + 23 = 143

5x - 17 = 143

5x = 160

x = 32

m<ABD = 2x - 40 = 2(32) - 40 = 24

m<ABD = 24°

m<DBC = 3x + 23 = 3(32) + 23 = 119

m<DBC = 119°

Answer:

no answer

Perhaps: E -45

Step-by-step explanation:

(2x + 4) = 14

2x + 4 = 14

2x = 10

x = 5

This equation has only 1 solution.

There cannot be the product of the "solutions" when there is only 1 solution.

Perhaps you meant this (absolute value, not parentheses):

What is the product of the solutions to the equation?

|2x +4| = 14

A 45

B 81

C 0

D -81

E -45

|2x + 4| = 14

2x + 4 = 14 or 2x + 4 = -14

2x = 10  or  2x = -18

x = 5 or x = -9

The product of 5 and -9 = -45

Answer: E -45

3q+30q+12q = 45q

Hope that helped :)

Answer:

35q+8qq

Step-by-step explanation:

i know is ryt

but y did u separate de first 4's other q like dat?

The answer is 2000000$  . Victoria need to sell 2000000$ this year to achieve $60000 this annum.

As per the question ,  3 percent of her yearly is equivalent to $30000 ,

If 3 percent is equivalent to $30000 , then 100 % is equal to , ( 30000 × 100/3  = 1000000 $ )

Now , we can conclude , the realtor sold worth of 1000000 $.

If Victoria want to earn 60000$ then She has to sell ( 60000 ×100/3 = 2000000 $ ) as only 3 % is equivalent to 60000 $  .

This year 2000000$ will she need to sell .  

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The recursive formula for the sequence is T(n+1) = Tn - 3 where T1 = 19 and the explicit formula for the sequence is Tn = 22 - 3n

On the given graph, we have the following points

19, 16, 13, 10, 7

These points represent the nth term of the sequence

See that the points have a common difference of -3

Hence, the sequence is an arithmetic sequence

In (a), we have

T1 = 19

d = -3

So, we have

T2 = T1 + d

This gives

T2 = T1 - 3

Express 2 as 1 + 1

So, we have

T(1+1) = T1 - 3

Express 1 as n

So, we have

T(n+1) = Tn - 3

Hence, the recursive formula for the sequence is T(n+1) = Tn - 3 where T1 = 19

In (a), we have

T1 = 19

d = -3

So, we have

Tn = T1 + (n - 1)d

This gives

Tn = 19 + (n - 1) * -3

Evaluate

Tn = 19 + 3 - 3n

Evaluate the sum

Tn = 22 - 3n

Hence, the explicit formula for the sequence is Tn = 22 - 3n

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Answer:

1. 47
2. 4

Step-by-step explanation:

1. 4a + 5b

4(8) + 5 (3)

32+ 15
=47

2. 3a/2b
3(8)/2(3)
24/6
=4

The value of r is 11°

From the information given, we have that;

Both angles are complementary angles.

It is important to note that complementary angles sum up to 90 degrees

Then, we have;

52 ° + 4r - 6° = 90°

collect like terms

4r + 46° = 90 °

4r = 90 - 46

4r = 44

Make 'r' the subject of formula

Divide both sides by 4

4r/4 = 44/4

r = 11°

Thus, the value of r is 11°

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Answer:

Step-by-step explanation:

8 1/3 pages/10 minutes = 25/3 pages / 10 minutes = 25/30 pages/minute = 5/6 page/minute

Answer:

y

Step-by-step explanation:

x^(-7) * x^7 * y^(-6)/y^(-7)=

x^(-7+7) * y^(-6-(-7))=

x^0 * y^(-6+7)=

1 * y^(7-6)=

y^1=y

The probability that it is gold is (1/3).

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability. If two events are mutually exclusive, then there is a 0 percent chance that they will both happen at the exact moment. Two events are said to be mutually exclusive if they share no elements (their intersection is the empty set). Consequently, P(A∩B)=0.

Let A be the event that a gold marble is picked.

Let B₁ and B₂ be the event that the first bag is chosen and the second bag is chosen respectively.

Given: P (B₁ ) = 2.P(B₂)

Also, P(B₁) + P(B₂) = 1

∴ 2P(B₂) + P(B₂) =1

3P(B₂) = 1

P(B₂) = 1/3 and  P(B₁) = 2/3

Now

P(A)

= P(A∩(B₁∪B₂))

= P[(A∩B₁)∪(A∩B₂)]

Probability adds up because the events are mutually exclusive

= P(A∩B₁) + P(A∩B₂)

= P(B₁). P(A/B₁) + P(B₂). P(A/B₂)

= (2/3)×(3/16) + (1/3)×(15/24)

= (1/3)

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how do you not know how to do this

0.17 times 185 = $136.9 or $137

(0.74 is not 1 mile)

Answer:

$31.58

Step-by-step explanation:

Reimburse for 1 mile,

→ $0.17

Then reimbursement for 185.74 miles,

→ 185.74 × 0.17

→ 31.5758

→ $31.58

Hence, the answer is $31.58.

Answer:

Step-by-step explanation:

[tex]A=LWH\\[/tex]

Divide both parts of the equation by LW:

[tex]\displaystyle\\\frac{A}{LW} =H\\\\Thus,\\\\H=\frac{A}{LW}[/tex]

The 6th term of the geometric sequence is of -4096.

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

For this problem, we have that:

Thus the 6th term of the sequence is found as follows:

[tex]a_6 = a_1q^5 = 4(-4)^5 = -4096[/tex]

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The coordinates of B is (1,-3) .

It is given that midpoint of AB is (3, -1) and coordinates of A is (5, 1) .

Let the coordinate of B be (x, y) .

By using midpoint formula , we get

[tex](3, -1)=(\frac{5+x}{2} , \frac{y+1}{2} )\\[/tex]

On comparing , we get the x- coordinate

   [tex]\frac{5+x}{2} =3\\\5+x=6\\x=1[/tex]

On comparing , we get the y- coordinate

[tex]\frac{1+y}{2} =-1\\\\1+y=-2\\y=-3[/tex]

Hence , the coordinates of B is (1,-3) .

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We can conclude that the value of both mean and median increases when we remove the lowest value, 0, from the data set.

(1) First, we have to find the value of the mean and median with the value of 0.

(A) Mean: Sum of all values/Number of terms

(B) Median: If the number is an even number, add the two middles and divide by 2.

(2) Now, we have to find the value of the mean and median without the value of 0.

(A) Mean: Sum of all values/Number of terms

(B) Median: If there are an odd number of observations, the number in the middle of the list is the median.

Therefore, we can say that the value of both mean and median increases when we remove the lowest value, 0, from the data set.

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