what is 18/60 simplified?

It is a rational number because it is a terminated decimal and can be expressed as a fraction.

Answer:

It is a rational number.

The solution to the system of equations by substitution is [tex]\( x = -\frac{11}{6} \)[/tex] and [tex]\( y = \frac{7}{6} \)[/tex].

To solve the system of equations by substitution, we can solve one equation for one variable and then substitute that expression into the other equation.

Given the system of equations:

1) [tex]\( -2x + 2y = 6 \)[/tex]

2) [tex]\( 4x + 2y = -5 \)[/tex]

From equation (1), we can solve for [tex]\( y \)[/tex] in terms of [tex]\( x \)[/tex]:

[tex]\[ -2x + 2y = 6 \][/tex]

[tex]\[ 2y = 2x + 6 \][/tex]

[tex]\[ y = x + 3 \][/tex] ... (i)

Now, substitute [tex]\( y \)[/tex] from equation (i) into equation (2):

[tex]\[ 4x + 2(x + 3) = -5 \][/tex]

Expand and solve for [tex]\( x \)[/tex]:

[tex]\[ 4x + 2x + 6 = -5 \][/tex]

[tex]\[ 6x + 6 = -5 \][/tex]

[tex]\[ 6x = -11 \][/tex]

[tex]\[ x = -\frac{11}{6} \][/tex]

Now, substitute [tex]\( x = -\frac{11}{6} \)[/tex] into equation (i) to find [tex]\( y \)[/tex]:

[tex]\[ y = -\frac{11}{6} + 3 \][/tex]

[tex]\[ y = -\frac{11}{6} + \frac{18}{6} \][/tex]

[tex]\[ y = \frac{7}{6} \][/tex]

So, the solution to the system of equations is:

[tex]\[ x = -\frac{11}{6} \][/tex]

[tex]\[ y = \frac{7}{6} \][/tex]

Final answer:

After receiving a 5% and then a 2% raise, Doug's annual salary becomes $16,065.

Explanation:

Let's calculate Doug's annual salary after receiving both raises. Initially, Doug's monthly salary was $1250. After a 5% raise, his new monthly salary becomes $1250 × 1.05 = $1312.50.

Six months later, he receives another 2% raise, which makes his monthly salary $1312.50 × 1.02 = $1338.75.

To find his annual salary after both raises, we simply multiply his final monthly salary by 12 (the number of months in a year).

Initial monthly salary = $1250

First 5% raise = $1250 + 0.05 × $1250

Second 2% raise = (first raise + 0.02 × first raise)

Multiply the final salary by 12 to get the annual salary

$1338.75 × 12 = $16,065.

Therefore, Doug's annual salary, after receiving both a 5% and 2% raise, is $16,065.

Answer:

(14, 15 )

Step-by-step explanation:

(3, 4 ) → (9, 12 ) is represented by the rule

(x, y ) → (x + 6, y + 8 ), thus

(8, 7 ) → (8 + 6, 7 + 8 ) → (14, 15 )

Answer:

[tex]Parenthesis[/tex]

Step-by-step explanation:

To figure this question out, you must follow the rule:

Parenthesis

Exponent

Multiply

Divide

Addition

Subtraction

As you can see, the first operation in PEMDAS is Parenthesis.

Meaning the first thing you do is the numbers in parenthesis

Answer: negative fifty

Step-by-step explanation:

60 seconds=1 minute

20 minutes=? seconds

60*20= 1,200

1,200 seconds=20 minutes

Hope this helps!!!

Brady

Answer:

20 min = 1,200 s

Step-by-step explanation:

[tex]1\ min=60\ s\\\\20\ min=20\cdot\underbrace{1\ min}_{60s}=20\cdot60\ s=1200\ s[/tex]

Answer:

(a). 4,832

(b). 62,816

Step-by-step explanation:

We have been given that during the 2011 season, a quarterback passed for 302 yards per game. He played in all 16 regular season games that year.

(a). To find the total yards passed by quarterback, we will multiply total number of games in one season by yards passed in one game.

[tex]\text{Total yards passed by quarterback in one season}=16\times 302[/tex]

[tex]\text{Total yards passed by quarterback in one season}=4,832[/tex]

Therefore, the quarterback passed 4,832 yards in one season.

(b). To find the total yards passed by quarterback in his career, we will multiply total number of yards passed in one season by 13.

[tex]\text{Total yards passed by quarterback in hos career}=13\times 4,832[/tex]

[tex]\text{Total yards passed by quarterback in hos career}=62,816[/tex]

Therefore, the quarterback passed 62,816 yards in his career.

Final answer:

The quarterback passed for a total of 4,832 yards during the 2011 season and is projected to pass for 62,816 yards in his entire career.

Explanation:

The questions can be answered as -

a. To find the total yards the quarterback passed during the 2011 season, we need to multiply the average yards per game by the number of games played.

Since he passed for 302 yards per game and played in all 16 regular season games, the total yards passed would be 302 x 16 = 4,832 yards.

b. If the quarterback matches this passing total for each of the next 13 seasons, we can find the total yards he will pass for in his career by multiplying his average yards per game by the number of games played in each season and then adding up the totals.

Since he passed for 4,832 yards in the 2011 season and plays 16 games per season, the total yards he will pass for in his career would be 4,832 x 13 = 62,816 yards.

Answer:

Step-by-step explanation:

Im super sorry my hand slipped dont quit

Answer:

The true statement is:  The probability that a randomly selected player on Team C is 10 years old is [tex]\frac{5}{16}[/tex].

Step-by-step explanation:

According to the table the total number of 10 years old players on Team C is 5 and the total number of all ages players (8, 9 and 10 years old) on Team C is 16, so the probability that a randomly selected player on Team C is 10 years old is 5/16.

The probability that a randomly selected player on Team C is 10 years old is 5/16.

This is defined as the numerical descriptions of how likely an event is to occur and is often measured in fraction.

Total number of 10 years old players on Team C =  5

Total number of all ages players (8, 9 and 10 years old) on Team C = 16

Therefore probability = 5/16

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Answer:

Inductive

Step-by-step explanation:

Answer:

The answer is inductive reasoning.

Step-by-step explanation:

A form of reasoning called Inductive reasoning is the process of forming general ideas and  rules based on your experiences and observations.​

Inductive reasoning takes in account, multiple premises that are believed to be true and combine all these to deduce a specific conclusion.

This is used in usually prediction and forecasting applications.

Answer:

parenthesis can be used to showthe order of what operations happen and the order they happen in, it helps break up confusion aswell that may occur within the equation

Answer:

Parentheses are important because they determine the order and priority of the operations.

Step-by-step explanation:

Parentheses when performing addition, subtraction, division or multiplication operations play a very important role. They tell us in which order we should go solving each of those operations.

If we do not respect this order, we can make the mistake of reaching an erroneous result.

The main thing is to always solve each parenthesis so that in the end everything is free to carry out the corresponding additions or subtractions.

Final answer:

To find the combined distance of both trails, add the lengths of the two trails together. One trail is 6.45 miles long and the other is 2.08 miles longer.

Explanation:

To find the combined distance of both trails, we need to add the lengths of the two trails together. We know that one trail is 6.45 miles long, and the other trail is 2.08 miles longer than the first trail. So, the length of the second trail is 6.45 + 2.08 = 8.53 miles. To find the combined distance, we add the lengths of both trails: 6.45 + 8.53 = 14.98 miles.

Answer:

The answer would be:

−35831808

Hope this helps.

Answer:

Step-by-step explanation:

(-2)^7 = - 2^7

6^7 = (2×3)^7= 2^7× 3^7

6^7(-2)^7 = (2^7× 3^7 )( - 2^7) = - (2^7×2^7)(3^7 )

6^7(-2)^7 = - 2^14 ×3^7

if one can cover 3 miles in 30 minutes, how many minutes will it be for 36 miles?

[tex]\bf \begin{array}{ccll} minutes&miles\\ \cline{1-2} 30&3\\ x&36 \end{array}\implies \cfrac{30}{x}=\cfrac{3}{36}\implies \cfrac{30}{x}=\cfrac{1}{12}\implies 360=x[/tex]

Answer:

you have to replace y with 6 to prove that x = 6

4(x + 6) = 48

4x + 24 = 48

4x = 24

x=6

Step-by-step explanation:

An expression with a single term a monomial, an expression with two terms is a binomial.

a. 3y - monomial

b. (-9) + h = -9 + h = h - 9 - binomial

c. wr + 5wr = 1wr + 5wr = (1 + 5)wr = 6wr - monomial

d. -7agh - monomial

e. 2 - monomial

f. k + 12 - binomial

Answer:

a. monomial

b. binomial

c. binomial

d. monomial

e. monomial

f.  binomial

Step-by-step explanation:

straight from Penn

Answer:

The new function will have a steeper slope

Step-by-step explanation:

Let

x ----> the number of audio books purchased

y ---->the cost of belonging to the club in dollars

we know that

case 1 (Originally)

[tex]y=15x+20[/tex] ----> equation A

case 2 ( the cost per audio book goes up by $1.00)

The new equation is

[tex]y=(15+1)x+20[/tex]

[tex]y=16x+20[/tex]  

The slope of the new function is greater than the slope of the original function    

[tex]16\frac{\$}{audio\ book}>15\frac{\$}{audio\ book}[/tex]

The new function will have a steeper slope

The graph in the attached figure

If the cost per audio book goes up by $1.00, the graph will shift upward by $1.00 for every point on the graph.

The graph represents the cost of belonging to an audio books club as a function of the number of audio books purchased. The x-axis represents the number of audio books and the y-axis represents the total cost. The initial joining fee of $20.00 is a fixed cost and stays the same regardless of the number of audio books purchased. The cost per audio book is $15.00. If the cost per audio book goes up by $1.00, the graph will shift upward by $1.00 for every point on the graph. This means the new function will be a parallel line to the original function, but shifted up by $1.00.

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Answer:

The answer is 10 units

Hello.

The answer is 10 units.

You can find this out by subtracting the two. You cannot subtract a negative, so it goes like this.

9 - (-1)   =>   9 + 1

10 units is your answer.

Hope this was helpful, and have a good day!

Answer:

Fair treatment through the judicial system; what citizens are entitled to in the court system.

Step-by-step explanation:

Answer: are you sure these are correct?

Step-by-step explanation:

You would calculate the speed be doing 5000 m / 17 min, which would be 294.117647059 m/min

17 minutes is extremely fast, but this is correct.

The conversion of 1.888... as a mixed number in the simplest form is [tex]\dfrac{17}{9}[/tex].

The number that repeats itself periodically after decimals is called Repeating numbers.

They are also called recurring numbers or non-repeating numbers.

They may be in a particular pattern or a single number may repeat.

Example :  2.1414141414…….

Assign a variable, x, to the repeating decimal:

x = 1.888........       (1)

Multiply both side by 10 to shift the decimal point:

10x = 18.888...      (2)

Subtract equation 2nd from equation 1st,

10x - x = 18.888... - 1.888...

9x = 17

Divide both sides of the equation by 9, to get the value of x:

[tex]x = \dfrac{17}{9}[/tex]

The simplest form of 1.888... is [tex]\dfrac{17}{9}[/tex].

Learn more about repeating numbers here:

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Hey!

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

Find Common Denominators:

2/5 = 4/10

Put mixed number to improper fraction:

-1 3/10 = -13/10

Add:

-13/10 + 4/10 = -9/10

Answer:

-9/10

Number Line:

In picture!

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

Hope This Helped! Good Luck!

Answer:

(12/5)√5

Step-by-step explanation:

y = 2x - 2

x² + y² = 8

x² + (2x - 2)² = 8

x² + 4x² - 8x + 4 = 8

5x² - 8x - 4 = 0

(5x + 2)(x - 2) = 0

x = -2/5

x = 2

y = 4 - 2

y = 2

(2,2)

y = 2(-2/5) - 2

y = -4/5 - 2

y = -14/5

(-2/5,-14/5)

√((2 + 2/5)² + (2 + 14/5)²)

√((12/5)²+ (24/5)²)

√(144/25 + 576/25)

(1/5)√(144+576)

(1/5)√720

(1/5)√(16*45)

(4/5)√45

(12/5)√5

The expression re-written: 3(2) - 4(3)

First, we multiply (PEMDAS)

3 * 2 = 6

4 * 3 = 12

6 - 12 = -6

Answer: - 6

The value of the expression at x = -2 and y = 3 will be negative 18.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ 3x - 4y

The value of the expression at x = -2 and y = 3 will be

⇒ 3(-2) - 4(3)

⇒ - 6 - 12

⇒ - 18

The value of the expression at x = -2 and y = 3 will be negative 18.

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Answer:

The length of the rectangular flower garden is 72 feet and the width is 48 feet

Step-by-step explanation:

Let

L ----> the length of the rectangular flower garden in feet

W ---> the width of the rectangular flower garden in feet

we know that

The perimeter of the rectangular flower garden is

[tex]P=2(L+W)[/tex]

we have that

[tex]P=240\ ft[/tex]

so

[tex]240=2(L+W)[/tex]

Simplify

[tex]120=(L+W)[/tex] -----> equation A

[tex]W=\frac{2}{3}L[/tex] ----> equation B

Substitute equation B in equation A and solve for L

[tex]120=(L+\frac{2}{3}L)[/tex]

[tex]120=\frac{5}{3}L[/tex]

[tex]L=120(3)/5[/tex]

[tex]L=72\ ft[/tex]

Find the value of W

[tex]W=\frac{2}{3}(72)[/tex]

[tex]W=48\ ft[/tex]

therefore

The length of the rectangular flower garden is 72 feet and the width is 48 feet

Answer:

5120oz/12=426.667 ounces.

Step-by-step explanation:

We know 1 pound = 16 oz. If we want to find out how many ounces are in 320 lbs, we must multiply 16 by 320 = 5120 ounces. Now we must divide by 12 to see how much she ate per month. 5120 divided by 12 is 426.667 or 426 and 2/3 ounces per month.

Alternatively, we can set up a proportion 1 lb / 16 ounces = 320 lb / x ounces. We cross multiply 1 times x = 320 times 15. On the left hand side we just have x and on the right hand side we get 5120. Hence, x=5120 ounces per year. To find how many she ate per month we must divide by 12 since there are 12 months in a year. So it comes out to 426 and 2/3 ounces per month.

Here are the equations: (1lb)(320lb)=(16oz)(320oz) implies 320lb=5120oz. Then divide 5120oz 12 to get how much she ate per month: 5120oz/12=426.667 ounces.

To solve, simply know that 1/5 of 20 is 4. How did you get that? You do 1/5x20. Which is 20/5. The answer is 4. Now multiply 4 by 4. 16. Now the left over 1/5 is 4. So, 4 is how many girls there are. (Make sure to label)