Answer:
1/3LStep-by-step explanation:
The question with some background info added:
When measuring the dimensions of a room a carpenter uses a tape measure that only displays a number of feet, L, on the metal tape. (The carpenter's tape measure does not display inches) Write an expression to determine the length of the room in units of 3 feet. SolutionLet the length of the room be L feet measured by the carpenter
Then
L/3 = 1/3L would be measure of the length in units of 3 feetWhich strategie would eliminate a variable in the system of equations? −x+6y=8 7x−y=−2
Answer:
substitution (or addition)
Step-by-step explanation:
A simple strategy for this system is to use substitution. The first equation is easily solved for x, so you could substitute that into the second equation:
x = 6y -8
7(6y -8) -y = -2 . . . . . x variable eliminated
__
The second equation is easily solved for y, so you could substitute that into the first equation.
y = 7x +2
-x +6(7x +2) = 8 . . . . . y-variable eliminated
__
The "addition" method is always a good way to eliminate a variable.
When the coefficient of a variable in one equation is a divisor of the coefficient of that variable in the other equation, a simple multiplication and addition will do.
To make the coefficient of x in the first equation the opposite of the coefficient of x in the second, multiply the first equation by 7. Adding that result to the second equation will eliminate x:
7(-x +6y) +(7x -y) = 7(8) +(-2)
42y -y = 56 -2 . . . . . . x-variable eliminated
Likewise, the second equation can be multiplied by 6 and added to the first to eliminate the y-variable:
(-x +6y) +6(7x -y) = (8) +6(-2)
-x +42x = -4 . . . . . . . . y-variable eliminated
__
It is often the case that using either substitution or "addition" requires about the same amount of work.
Here, the solutions are (x, y) = (-4/41, 54/41).
Determine whether the source given below has the potential to create a bias in a statistical study. Washington University obtained word counts from the most popular novels of the past five years. Choose the correct answer below.A. There does not appear to be a potential to create a bias. The organization is reputable and has many professional and credible members.B. There does not appear to be a potential to create a bias. The organization would not gain from putting a spin on the results.C. There does appear to be a potential to create a bias. There is an incentive to produce results that are in line with theorganization's creed and that of its funders.D. There does appear to be a potential to create a bias. There is an incentive to make the results statistically insignificant.
Answer:
B
Step-by-step explanation:
Six girls share 5 1/3 pounds of pretzel each one receive the same amount. However, Sue only eats half of her pretzels and leaves the uneaten on the plate . How many pounds does sue leave on her plate?
Answer:
4/9 pounds
Step-by-step explanation:
5 1/3 pounds of pretzels divided equally for 6 girls would mean that each girl gets 8/9 pounds of pretzel.
If Sue ate half of the 8/9 pounds, that would equal to 4/9 pounds of pretzel.
Kami is cooking dinner for a family reunion that 21 people are attending. If her recipe calls for 1.6 ounces of ground beef per person, how much beef does Kami need altogether?
Answer:
Kami will need 33.6 ounces of ground beef for the recipe
Step-by-step explanation:
From the problem, we know that one person will use up 1.6 ounces of ground beef. We also know that there are 21 people that will be attending the party. Each of those 21 people will definitely use up 1.6 ounces of ground beef.
Hence, for the recipe to be perfect, Kami will have to use 21 X 1.6 ounces = 33.6 ounces of ground to make the recipe for the entire dinner.
how do you solve this
Answer:
4x^-4/9y^6
Step-by-step explanation:
If the exponent is outside the bracket, it means that all the terms inside will be raised to that exponent. This means that:
(2x^-2 / 3y^3)^2 = 2^2*(x^-2)^2 / 3^2*(y^3)^2
When exponents are raised to an exponent, the exponents are multiplied together, so (x^-2)^2 will = x^(-2*2) = x^-4
Going through:
2^2*(x^-2)^2 / 3^2*(y^3)^2
=4*x^-4 / 9*y^6
=4x^-4/9y^6
Hope this helped!
{(1,3), (2, 5), (3,-4), (4, -3), (5, -1)} The above is DONE
Function or not a Function?
Answer:
Yes it is a Function
Step-by-step explanation:
Because there are no same x-values with the same y-values
Find the missing side
length of the right
triangle. Remember
a² + b² = c²
12 ft
5 ft
?
48(13/24)
multiply 48 and 13 over 24
Answer:
when 48 multiply by 24 the answer is 1152
when 13 multiply by 24 the answer is 312
If 10 chips are 130 cals how much is just one chip?
A student has 8 pints of iced tea in a pitcher. The amount of iced tea in the pitcher is a function of x, the amount of iced tea she has poured from the pitcher, y. What is the domain of this function? a \large 0\le x\le8 b \large \left\{1,2,3,4,5,6,7,8\right\} c \large 0\le y\le8 d \large \left\{0,1,2,3,4,5,6,7,8\right\}
Answer: The domain is:
0 pints ≤ x ≤ 8 pints.
Step-by-step explanation:
When we have a function:
y = f(x)
The domain is the set of the possible values of x (the possible inputs).
In this case, the value of x represents the amount of tea that she has poured from the pitcher.
Now, initialy the pitcher has 8 pints, so the smallest possible value of x is 0 pints (when she has not pured anithing) and the maximum value of x is 8 pints (when she has poured all the 8 pints).
So we have the domain:
0 pints ≤ x ≤ 8 pints
Determina si el número 2,340 es divisible por 2,3,5,9,y 10. Explica tu respuesta.
Answer: The number 2340 is divisible by 2,3,5,9 and 10
=====================================================
Here's why
2340/2 = 1170 is a whole number, so it is divisible by 2
Note how the last digit is an even number, so overall the number is even and divisible by 2
---------------
Add the digits of the given number to get 2+3+4+0 = 9, showing that it is both divisible by 3 and also divisible by 9. If the digits add to a multiple of 3, then it is divisible by 3. If the digits add to a multiple of 9, then it is divisible by 9. Basically anything divisible by 9 is automatically divisible by 3 as well.
We can see we get whole number results shown below
2340/3 = 780
2340/9 = 260
---------------
The last digit is 0, so 2340 is a multiple of 10. It is also a multiple of 5 because 10 = 5*2
And we can see that
2340/5 = 468
2340/10 = 234
Showing 2340 is a multiple of 5 and 10.
need help with this answer
Answer:
which one?
Step-by-step explanation:
Answer:
There is no question
Step-by-step explanation:
Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution. F(x) = x2 + 3x - 2
Answer:
F(a) = a² + 3a - 2
F(x-1) = x² + x -4
Step-by-step explanation:
Note:
Domain is missing, assume domain
F(a)
F(x-1)
Given:
F(x) = x² + 3x - 2
Computation:
1. F(x) = x² + 3x - 2
So,
⇒ F(a) = a² + 3a - 2
2. F(x-1) = (x-1)² + 3(x-1) - 2
F(x-1) = x² + 1 -2x + 3x - 3 - 2
F(x-1) = x² + x -4
what is 5.267 in word form
Answer:
five and two hundred sixty-seven thousandths
Step-by-step explanation:
Answer: Five and Two hundred sixty-seven thousandths.
Anything number that has a decimal you must have and.
Put a decimal in word form the word and becomes the decimal.
Any number without a decimal you do not need to put and.
So if 5.267 was actually 5,267 you'll just say five thousand two hundred sixty-seven.
Need help as soon as possible
Answer:
D. 70
Step-by-step explanation:
if vx is bisector then 3z - 4 = z + 6 add like terms
2z = 10;and z = 5
To find the perimeter we add all side lengths
VU + UW + WV = 5z - 1 + 5z - 1 + 3z - 4 + z + 6 = 14z
we know z = 5 so 14 × 5 = 70
Given the graphs of y = f(x) and y = g(x),
g(x) = f(x)
expresses g(x) in terms of f(x).
Step-by-step explanation:
g(x) = f(x) + 4.
This is because g(x) is a translation of f(x) that has been moved up by 4 units. (-2 to 2 when x = 0)
Given the graphs of y = f(x) and y = g(x),
g(x) = f(x) + 3
expresses g(x) in terms of f(x).
The Answer is 3.
Point P is 1/4 of distance from A (-8,-4) to
B (4,0)
Answer:
√10
Step-by-step explanation:
A (-8,-4) to B (4,0) is distance d
d=√(x2-x1)²+(y2-y1)²
d=√(4-(-8))²+(0-(-4))²
d=√12²+4²
d=√144+16 =√160
d=√16*10=4√10
p is 1/4 of distance = 1/4(4√10)=√10
0
Cooper's account
went into overdraft. To get back to a positive balance, he deposited money at a steady
rate of $23.34 per week. After 6 weeks, he had $102.56 in the account. What was the
balance when the account went into overdraft?
Answer:
the balance was when the account went into overdraft : 37.48 dollars
Step-by-step explanation:
deposit 23.34 for six weeks : 140.04 dollars
140.04-102.56 =37.48 the
the balance was when the account went into overdraft : 37.48 dollars
Central Park in New York City is shaped like a rectangle. On a map of the park in the coordinate plane, three of the vertices are located at (-1.25,-0.25) (-1.25, 0.25), and (1.25, 0.25). Distances on the map are in miles. What is the perimeter of Central Park? Show your work.
Is this for the connect it math page I’m stuck on it too
Standard Form to Scientific Notation:
5.8 x 107 =
Answer:
just move the decimal a 107 times and add 0's
Step-by-step explanation:
Point B lies between points A and C on Line segment A C . Let x represent the length of segment AB in inches. The length of line A C is 20 inches. The space between points A and B is labeled x. The space between points B and C is labeled 3 x. Use the segment to complete the statements. The value of x is . The length of Line segment A B in inches is . The length of Line segment B C in inches is
Part 1) The value of x is 5
Part 2) The length of line AB is 5 inches
Part 3) The length of BC is 15 inches
Answer:
5
5
15
Step-by-step explanation:
Solve for x.
-6x - 29 = 5x - 7
Answer:
x = -2
Step-by-step explanation:
-6x - 29 = 5x - 7
Add -6x to both sides
-29 = 11x - 7
Add 7 on both sides
-22 = 11x
Divide
[tex]\frac{-22}{11}[/tex] = [tex]\frac{11x}{11}[/tex]
x = -2
Answer:
x = -2
Step-by-step explanation:
move the terms
-6x -5x = -7 + 29collect like terms
-11x = 22
divide both sides of the equation by -11
x = -2what is the answer to the equation 8n + 10 = 50 solve for n
Answer: [tex]n=5[/tex]
Add -10 to each side of the equation
[tex]10 + -10 + 8n = 50 + -10[/tex]
Combine like terms
[tex]0 + 8n = 50 + -10\\8n = 50 + -10\\8n = 40[/tex]
Divide each side by 8
[tex]8n/8=40/8\\n=5[/tex]
Answer:
n = 5
Step-by-step explanation:
8n +10 = 50
-10 -10
8n = 40
8 8
n = 5
2x - 3 = 1 and -3x + 6 = 12
Answer:
I am confused by the question no CAPPPPPP
Step-by-step explanation:
Joe and Susan were arguing about how
many basic operations existed in math. Joe
argued that there are only 4 operations (addition,
subtraction, multiplication, and division). Susan
disagreed and said there are only 2 operations.
She made a case that when you subtract its just
adding a negative and when you divide its
multiplying by a fraction. Do you agree with
Susan? What is your opinion on this matter?
Answer:
The correct number of basic operations that exist in mathematics is four (addition, subtraction, multiplication and division) because the definition of an operation is the carrying out of a task by the application of principles and these four operation are arithmetic operations that have precedence rules or order of operations, such that we must first multiply or divide before adding or subtracting
Division is different from simply multiplying by a fraction because in Euclidean division, the result is a quotient and a remainder, which shows that division can yield more than one result while multiplication yields a single result
For subtraction and addition, one of the differences is that subtraction cannot be simply commuted
a - b = -(b - a)
Subtraction is non-associative;
a - b - c when arranged as (a - b) - c and a - (b - c), can yield different results depending on operation order which is unlike addition
Therefore, the four basic operations in mathematics are addition, subtraction, multiplication and division
Step-by-step explanation:
Let f(x)=-2x-1 and g(x)=x^2-1
what goes in the green box and what is 6 * 28
Simplify 3(у- 1) +7 completely.
А. Зу+6
В. Зу+ 4
С. 3y+10
D. Зу- 3
Answer:
B. 3y + 4
Step-by-step explanation:
Step 1:
3 (y - 1) + 7
Step 2:
3y - 3 + 7
Answer:
3y + 4
Hope This Helps :)
Your town got 3.44 inches of rain in June, 5.07 inches in July, and 4.28 inches in August. What was the average rainfall over these three months?
Answer:
4.4366
Step-by-step explanation:
3.44+5.07+4.28=13.31
13.31/3=4.4366
hope this helps
In the figure below, Y is between X and Z
and XZ = 40
Please help ASAPPPP!!!
Answer:
32
Step-by-step explanation:
The value of a is 8.
Option A is the correct answer.
What is an expression?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,
XZ = XY + YZ
40 = 3a + 8 + a
40 = 4a + 8
40 - 8 = 4a
32 = 4a
a = 32/4
a = 8
Thus,
a is 8.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2