Answer:
722.5792 cm²
Step-by-step explanation:
1 in ≈ 2.54 cm
Squaring both sides:
⇒ (1 in)² ≈ (2.54 cm)²
Apply exponent rule (ab)² = a²b²
⇒ (1)² in² ≈ (2.54)² cm²
⇒ 1 in² ≈ 6.4516 cm²
Therefore, to convert an area measured in inches squared to centimeters squared, multiply by 6.4516:
⇒ 112 in² ≈ (112 × 6.4516) cm²
= 722.5792 cm²
a community service program, students earn points for two tasks: painting over graffiti and picking up trash. The
following constraints are imposed on the program.
1) A student may not serve more than 10 total hours
per
week.
2) A student must serve at least 1 hour per week at each task.
Let g = the number of hours a student spends in a week painting over graffiti.
Let t = the number of hours a student spends in a week picking up trash.
Write a system that represents the imposed constraints.
The system of equations that represents the imposed constraints is given as follows:
[tex]g + t \leq 10[/tex][tex]g \leq 1, t \leq 1[/tex]What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
g = the number of hours a student spends in a week painting over graffiti.t = the number of hours a student spends in a week picking up trash.A student may not serve more than 10 total hours per week, hence:
[tex]g + t \leq 10[/tex]
A student must serve at least 1 hour per week at each task, hence:
[tex]g \leq 1, t \leq 1[/tex]
More can be learned about a system of equations at https://brainly.com/question/24342899
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On Saturday, Mark sold 2 7/8 gallons of lemonade. On the same day, Regan sold 2/3 as much lemonade as Mark. How much lemonade, in gallons, did Regan sell? Help
Answer:
Step-by-step explanation:
The total amount of lemonade Regan sells is 69/16 gallons and this can be determined by using the arithmetic operations.
Given :
Mark sold 2 7/8 gallons of lemonade.
Regan sold 2/3 as much lemonade as Mark.
The following steps can be used in order to determine the total amount of lemonade Regan sells:
Step 1 - The arithmetic operations can be used in order to determine the total amount of lemonade Regan sells.
Step 2 - According to the given data, Mark sold 23/8 gallons of lemonade.
Step 3 - Let the total amount of lemonade Regan sells be 'x'.
Step 4 - So, the value of 'x' can be calculated as:
x = 23/8 × 3/2
x = 63/16
The total amount of lemonade Regan sells is 69/16 gallons.
If a system has no solution, how does it look on the graph? What about infinite solutions?
Hi!
If a graph has no solutions, the lines will be parallel.
Lines have "solutions" when they intersect with eachother. If there are no solutions, the lines will not intersect. Only parallel lines don't intersect.
If a graph has infinite solutions, the lines will be the same.
If a line has infinite solutions, they have to constantly be intersecting. That means the lines will have to be directly on top of each other, meaning they will be the same line.
SEE BELOW for graphs. First graph = NO SOLUTIONS; Second graph = INFINITE SOLUTIONS
Explanation:
No solution:
A graph can only have no solutions if the two lines are parallel. These lines can only be parallel if they have the same slopes, but different y-intercepts. Please check attached graph (1) for illustration of no solution.Infinitely many solutions:
A graph can have infinitely many solutions if the two lines overlap. This can only happen if both the equations are the same or if simplified, are equivalent. Please check attached graph (2 and 3) for illustration of infinitely many solutions.if a1 = 4 and an = -4a n-1 +5 then find value of a5
please help
Answer:
Step-by-step explanation:
a1 = 4
a2 = -5(4)-1 = -21
a3 =-5(-21)-1 = 104
a4 = -5(104)-1 =-521
a5 =-5(-521)-1 = 2604
please help with 2 in the picture.
Answer:
4
Step-by-step explanation:
How do I solve this hmm
Answer:
put the numbers that are x into the equation. you always try to find y in this problem
Step-by-step explanation:
y=x+8
the first x is 0 so we do
y= 0+8
y=8
and you keep repeating this where x=1 and x= 2
Bella baked a two layer cake.The bottom layer has dimensions of 4 inch x 6inch x 8inch.The dimensions of the top layer are half bottom.What is the volume of the top layer.
Answer:
30 is the answer because you need to multiple 4 and 6
Please answer. I need it to be right.
Answer:
75
- _____________
10x^4−27
Step-by-step explanation:
Answer:
Step-by-step explanation:
First we do all brcakets becuase we are following the law of BODMAS.
2×-5×3 = -10×3= -30
Now we do all powers and indices:
-5²= 25
10²= 100
3³ = 27
Now we do the top of the fraction:
25+100 = 125
Now we do the bottom bit of the fraction:
-30+27 = -3
Now we divide 125 by -3:
-41 2/3
-41.666.....
write an equation for an arithmic sequence such that t(3)=13 and t(12)=67 HELP ASAP
Answer:
t(n) = 1 +6(n -1)
Step-by-step explanation:
The general term of an arithmetic sequence with first term t(1) and common difference d is given by the formula ...
t(n) = t(1) +d(n -1)
__
Using the two given values of n and t(n), we can find the unknown parameters.
13 = t(3) = t(1) +d(3 -1) = t(1) +2d
67 = t(12) = t(1) +d(12 -1) = t(1) +11d
Subtracting the first equation from the second, we get ...
(67) -(13) = (t(1) +11d) -(t(1) +2d)
54 = 9d . . . . simplify
6 = d . . . . . . divide by 9
Substituting into the first equation gives ...
13 = t(1) +2(6)
1 = t(1) . . . . . . . . subtract 12
Using the found values in the equation for the sequence gives ...
t(n) = 1 +6(n -1)
PLEASE HELP ME! WILL MARK BRAINLIEST!
Answer:
-1
Step by step explanation:
[tex]\dfrac{4^3/(-12+2^2)}{(2\cdot 3)^2+(-5 \cdot 2 \cdot 3) +2}\\\\\\=\dfrac{-\tfrac{64}8}{36-30+2}\\\\\\=-\dfrac{8}{8}\\\\=-1[/tex]
Answer the questions below and show all of your
1. A toy is shaped as a triangular prism. The toy has a
base of 108 square inches. What is the height of the toy it
the volume is 729 cubic inches?
Answer:
6.75
Step-by-step explanation:
729=1/2*216h
729=108h
h=6.75
I think idrk
Which expression has a value of -12?
F (-10 + 4)= (11 - 9)
G (3 - 5).(-4 + 10)
H (5 – 7 +22) = (-2)
(7 - 10) (3 - 7)
Answer:
G.
Step-by-step explanation:
(3 - 5).(-4 + 10)
= -2 * 6
= -12.
Braxton sold lemonade to earn
money for a new bicycle. After
selling 12 cups of lemonade, he
had earned $9. Based on this
information, what is the constant
of proportionality?
A) 12
B) 1.75
C) 1.33
D)0.75
Answer:
ok so this sounds kind of fancy but constant of proportionality just mean cups sold by amount made
9/12=0.75
so c
Hope This Helps!!!
What is the value of c if, 2c + 8 = 26 ?
A.
9
B.
42
C.
18
D.
34
Answer:
Option A
The answer is 9
Step-by-step explanation:
2c + 8 = 26
Subtract 8 from both side we get,
2c + 8 – 8 = 26 – 8
2c = 18
Divide both side by 2 we get,
2c/2 = 18/2
c = 9
Thus, The value of c is 9
Add the number which comes in the middle of the series to the largest number and divide the total by the smallest number 28 5 18 6 7
Answer:
8.2
Step-by-step explanation:
Number in the middle of the series = 18
Largest number = 28
Smallest number = 5
(18+28)/5
46/5
8.2
The required simplified solution of the given statement is 9.2.
Given that,
To determine the simplified solution of the given condition,"Add the number which comes in the middle of the series to the largest number and divide the total by the smallest number 28 5 18 6 7".
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
According to the given statement,
Adding the number that is greater and in the middle of the former series
= 18 + 28 / 5
= 46 / 5
= 9.2
Thus, the required simplified solution of the given statement is 9.2.
Learn more about simplification here: https://brainly.com/question/12501526
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How do you find perimeter?
plsss answer thiss.. i need it rn non sense answer will be reported
Answer:
Answer below in the picture
I hope my answer helps you.
Find the solution of 3x+5/2x+1 = 1/3
Answer:
x = -2
Step-by-step explanation:
[tex]\frac{3x+5}{2x+1} = \frac{1}{3}[/tex]On cross multiplying,
3(3x + 5) = 1(2x + 1)9x + 15 = 2x + 17x = -14x = -2Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
Given equation:
[tex]\dfrac{3x+5}{2x+1}=\dfrac13[/tex]
Cross multiply:
[tex]\implies 3(3x+5)=1(2x+1)[/tex]
Expand brackets:
[tex]\implies 9x+15=2x+1[/tex]
Subtract [tex]2x[/tex] from both sides:
[tex]\implies 9x+15-2x=2x+1-2x[/tex]
[tex]\implies 7x+15=1[/tex]
Subtract 15 from both sides:
[tex]\implies 7x+15-15=1-15[/tex]
[tex]\implies 7x=-14[/tex]
Divide both sides by 7:
[tex]\implies \dfrac{7x}{7}=-\dfrac{14}{7}[/tex]
[tex]\implies x=-2[/tex]
Solve the equation 2×-31=3(×+2)
Answer:
x=-37
Step-by-step explanation:
First, rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:
2*x-31-(3*(x+2))=0
(2x - 31) - 3 • (x + 2) = 0
Pulling out like terms
3.1 Pull out like factors :
-x - 37 = -1 • (x + 37)
Equation at the end of step
-x - 37 = 0
Solving a Single Variable Equation:
4.1 Solve : -x-37 = 0
Add 37 to both sides of the equation :
-x = 37
Multiply both sides of the equation by (-1) : x = -37
Use the functions and the scenario to solve the problem.
f(x)=1/2x+6
g(x)=x−3
Shiloh and Leanne are asked to evaluate f(x)−g(x).
Shiloh suggests f(x)−g(x)=(x−3)−(1/2x+6)=1/2x−9.
Leanne suggests f(x)−g(x)=(12x+6)−(x−3)=−12x+9.
Evaluate each student's answer.
Select two answers. Select the correct evaluation of Shiloh's work and the correct evaluation of Leanne's work.
The function f(x) - g(x) is an illustration of a composite function
Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct
How to estimate the student's answer?The functions are given as:
f(x) = 1/2x + 6
g(x) = x - 3
The function f(x) - g(x) is calculated using:
f(x) - g(x) = 1/2x + 6 - x + 3
Collect like terms
f(x) - g(x) = 1/2x - x + 6 + 3
Evaluate the like terms
f(x) - g(x) = -1/2x + 9
By comparing the above solution to the students' response, we can see that:
Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct
Read more about composite functions at:
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The lateral area of a cone is 19.2π in2. The radius is 2.4 in. Find the slant height.
The slant height of a cone with lateral surface are of 19.2π inches squared and radius of 2.4 inches is 8 inches.
Lateral surface area of a coneThe formula for the lateral surface area of a cone is described as follows:
Lateral area = πrl
where
r = base radiusl = slant heightTherefore,
Lateral area = 19.2π inches²
r = 2.4 inches
Lateral area = π × 2.4 × l
19.2π = 2.4πl
divide both sides by 2.4π
l = 19.2π / 2.4π
l = 8 inches
learn more on cone here: https://brainly.com/question/27170515
How many degrees are in an angle that turns 1/2 of a cirle
Answer:
180 degrees.
Step-by-step explanation:
360 degrees is a full circle, so half of it is 180 degrees.
Amy played 245 games of solitaire. She won 4 out of every 5 games. How many games did she lose?
Answer:
How much money did Amy wager on her games?
Step-by-step explanation:
Is she in debt?
Answer:
49
Step-by-step explanation:
So, you can just do 245x1/5.
I got 1/5 from "how many did she LOSE?"
5/5-4/5=1/5.
She lost 49 games.
PLEASE HELP WILL GIVE BRAINLIEST!!!!
Answer:
Its The 3rd one you are correct in picture
Step-by-step explanation:
Answer this please thank you
Review the graph of function f(x). On a coordinate plane, a graph has maximum point at open circle (0, 4), and curves down and then repeats with smaller curves at intervals of 2 pi in both the positive and negative x -axis. A point is at (0, negative 2). Which statement identifies and explains Limit of f (x) as x approaches 0? The limit Limit of f (x) as x approaches 0 = –2 because the value of the function at x = 0 is –2. The limit Limit of f (x) as x approaches 0 does not exist because there is an open circle at (0, 4). The limit Limit of f (x) as x approaches 0 = 4 because both the left-hand and right-hand limits equal 4. The limit Limit of f (x) as x approaches 0 does not exist because there is oscillating behavior around x = 0.
The true statement is that (b) The limit [tex]\lim_{x \to 0} f(x)[/tex] does not exist because there is an open circle at (0, 4).
How to interpret the limit of f(x)?From the graph of the function (see attachment), we have the following highlight:
There is an open circle at point (0,4), the maximum point of the function f(x) and when x = 0
When there is an open circle in the graph at x = 0, then the function has no limit at this point
This is so because the value is exclusive of the function values
Hence, the limit [tex]\lim_{x \to 0} f(x)[/tex] does not exist because there is an open circle at (0, 4).
Read more about limits and continuity at:
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Answer:
C - The limit Limit of f (x) as x approaches 0 = 4 because both the left-hand and right-hand limits equal 4.
Step-by-step explanation:
Precalc Edge 2023
what would be the answer for a triangle with a hypotenuse of 7 and a leg of 5
Answer:
With this hypotenuse calculator you will quickly find this longest side of a right triangle. If you want to know what is the hypotenuse
Step-by-step explanation:With this hypotenuse calculator you will quickly find this longest side of a right triangle.
Find the a:b
Need this fast
Answer:
Hope the picture will help you.......
I need help with 20.
Step-by-step explanation:
why ? you did it right there already.
the numerator is the top part of the fraction, the "counting" part (how many units of a certain type or size are there).
the denominator (the bottom part) is defining the type or size of units described by the fraction.
so, we are adding 4 to the numerator of 2/5, making it (2+4)/5 = 6/5
what do we need to add to the denominator (the bottom part) to make the fraction have the value of 1/2 ?
so, what x would make 6/x = 1/2 ?
6 = x/2
x = 6×2 = 12
so, we need to get 12 in the denominator, where we have currently 5.
therefore, we need to add 12-5 = 7 to it.
so that
6/(5+7) = 6/12 = 1/2
I NEED HELP WITH THIS ALEKS TOPIC
subtraction/algebraic subtraction
What you have looks right, the reason for step 7 should just be algebraic subtraction since there is a DG on both sides that can be simplified out of the equation
I’m not sure what exact answer your question will allow, but it’ll be something along the lines of subtraction