Answer:
7
Step-by-step explanation:
n-4m= 31 - 4(6) = 31 -24 = 7
Evaluate the expression when x=-2 and y=3 3x-4y
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.
What is the value of the expression?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.
More about the value of expression link is given below.
https://brainly.com/question/23671908
#SPJ2
Select location using number line -1 3/10 + 2/5
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!
is 0.82 a irrational or a rational number
It is a rational number because it is a terminated decimal and can be expressed as a fraction.
Answer:
It is a rational number.
Write 1.888... as a mixed number in simplest form
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:
https://brainly.com/question/29566603
#SPJ6
Name the operation the should be done first in this expression: 10 - (3 + 4)
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
The two-way table shows the ages of the players on different soccer teams. A 6-column table has 4 rows. The first column has entries 8 years old, 9 years old, 10 years old, Total. The second column is labeled Team A with entries 4, 9, 2, 15. The third column is labeled Team B with entries 6, 4, 3, 13. The fourth column is labeled Team C with entries 8, 3, 5, 16. The fifth column is labeled Team D with entries 3, 7, 4, 14. The sixth column is labeled Total with entries 21, 23, 14, 58. Which statement is true? The probability that a randomly selected player on Team A is 8 years old is StartFraction 4 Over 21 EndFraction. The probability that a randomly selected 8-year-old player is on Team C is StartFraction 16 Over 21 EndFraction. The probability that a randomly selected player on Team C is 10 years old is StartFraction 5 Over 16 EndFraction. The probability that a randomly selected 10-year-old player is on Team B is StartFraction 13 Over 58 EndFraction.
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.
What is Probability?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
Read more about Probability here https://brainly.com/question/24756209
#SPJ5
The straight line y=2x-2 meets the circle x^2+y^2=8 at the points A and B. Find the length of AB, giving your answer correct to one decimal place.
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
How long will it take you to ski a distance of 36 miles at a speed of 3 miles per 30 minutes
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]
One trail through the park is 6.45 miles long. Another trail is 2.08 miles longer than the first trail. What is the combined distance of both trails
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.
Sam is planning to start a pool cleaning business from his home, but has realized that he does not have enough money in savings or credit to pay for the set-up costs and first year of operation. Which of the following would not be a good way for Sam to get the money to start his business?
Answer:
Save $50 from his paycheck a week
Step-by-step explanation:
there's no following so I'll just write it
answer: steals money
sells everything to get money
Lies about being poor
scams people
demands people give him/her money
i need the answer to 6^7(-2)^7
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
During a sale, a dress is marked down form a selling price of $90 to a sale price of $81. What is the percent of markdown?
4. Peter participated in a 5 K race and finished the race in 17 min. A 5k race is
5.000 m long. How would you calculate Peter's average speed in m/min?
A. 5 K + 17 min
B. 17 min + 5K
C. 5,000 m + 17 min
D. 17 min + 5,000m
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.
A form of reasoning called_ is the process of forming general ideas and
rules based on your experiences and observations.
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.
-2x + 2y = 6 and 4x + 2y= -5 solve by substitution
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]
Given: 4(x + y) = 48
y = 6
Prove: x = 6
Answer:
you have to replace y with 6 to prove that x = 6
4(x + 6) = 48
4x + 24 = 48
4x = 24
x=6
Write whether each expression is a monomial or a binomial. a.3y b.(-9)+h c. wr+5wr d. -7agh e.2 f.k+12
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
During the 2011 season, a quarterback passed for 302 yards per game. He played in all 16 regular season games that year.
a. For how many total yards did the quarterback pass?
b. If he matches this passing total for each of the next 13 seasons, how many yards will he pass for in his career?
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.
.....does anyone know the answer its not 9 units
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!
100 people were asked to estimate the length of one minute. their estimates were normaly distributed with a mean time of 60 seconds and a standard deviation of 4 seconds
Im super sorry my hand slipped dont quit
I have a math problem to simplify how?
Answer: negative fifty
What does "due process of law" mean ?
Answer:
Fair treatment through the judicial system; what citizens are entitled to in the court system.
Step-by-step explanation:
An architect designs a rectangular flower garden such that the width is exactly two-thirds if the length. If 240 feet of antique picket fencing are being used to enclose the garden, find the dimensions of the garden.
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
An audio books club charges an initial joining fee of $20.00. The cost per audio book is $15.00. The graph shows the cost of belonging to the club as a function of audio books purchased. How will the graph change if the cost per audio book goes up by $1.00?
(The new function is shown by the dotted line.)
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.
Explanation: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.
Learn more about cost per audio book here:https://brainly.com/question/14261956
#SPJ3
A rectangular room is 1.5 times as long as it is wide, and its perimeter is30 meters. find the dimension of the room.
Answer:
6 meters by 9 meters
Step-by-step explanation:
Step 1: Formula for perimeter of rectangle
Rectangle's perimeter = 2 (length) + 2 (width)
Rectangle's perimeter = 2 (length + width)
Step 2: Find the length and width in terms of x
Width = x
Length = 1.5 times width
Length = 1.5x
Step 3: Find x
Perimeter = 2(length + width)
30 = 2 (1.5x + x)
30/2 = 2.5x
15/2.5 = x
x = 6
Step 4: Find the length and width
Width = x = 6 meters
Length = 1.5x = 1.5(6) = 9 meters
Therefore, the dimensions of the room are 6 meters and 9 meters.
Answer:The dimensions of the room are...
w = 3m
l = 4.5m
Step-by-step explanation:
Write l in terms of w. 1.5w
Write an equation for the perimeter P in terms of w. 5w
A dilation maps (3, 4) to (9, 12). Find the coordinates of the point (8, 7) under the same dilation.
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 )
i posted this 575322 times pls help
Answer:
Step-by-step explanation:
There are 20 students in your class.if 4/5 of them are boys,how many are girls
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)
dougs monthly salary was $1250 when he recieved a 5% raise. Six months later he recieved another 2% raise. What is his annual salary after recieving both raise?
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.
Please answer this correctly
Answer:
Smith
Step-by-step explanation:
Woodson has fewer than Smith
Smith>Woodson
Woodson has more than Rodriquez
Smith>Woodson>Rodriguez
Blackburn has fewer then Rodriguez
Smith>Woodson>Rodriguez>Blackburn