The explanation of each of the term are defined below.
The order of each reactant is known as the reaction orders in a rate law describe the mathematical dependence of the rate on reactant concentrations.
The term rate law expression in math is defined as the expression in which reaction rate is given in terms of molar concentration of reactants with each term raised to some power in which may or may not be same as the stoichiometric coefficient of the reacting species in a balanced chemical equation.
The term overall order of the reaction is known as the sum of orders for each reactant.
Finally value of the rate constant means the rate constant is temperature dependent.
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patty's dog spike weighs 20.2 pounds and her other dog weighs 17.28 pounds. how much more does spike weigh
Answer:
2.92 it is so easy. Just you have to subtract them
Answer:2.92 pounds
Step-by-step explanation:
help asap no rocky pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Simplification of the exponential expressions using laws of exponents gives;
A) 1
B) ¹/₂
C) 2
D) 2
How to use laws of exponents?Some of the laws of exponents states that;
1) When we multiply like bases, we must keep the base the same and add the exponents.
2) When we raise a base with a power to another power, we must keep the base the same and multiply the exponents.
3) When dividing like bases, we must keep the base the same and subtract the denominator exponent from the numerator exponent.
A) [(2 * 3⁻²)³(5 * 3²)²]/(3⁻²)(5 * 2)²
Applying laws of exponents, we have;
[(2² * 3⁻²*³)(5² * 3²*²)]/(3⁻²)(5² * 2²)
= 2² and 5² will cancel out to give;
3⁻⁶ * 3⁴ * 3²
= 3⁻⁶ * 3⁴⁺²
= 3⁻⁶ * 3⁶
= 3⁰ = 1
B) (3³) (4⁰)²(3 * 2)⁻³ (2²)
This can be broken down into;
3³ * 1 * 3⁻³ * 2⁻³ * 2²
= 2⁻¹ = ¹/₂
C) (3⁷ * 4⁷)(2 * 5)⁻³(5²)]/(12⁷ * 5⁻¹ * 2⁻⁴)
= (3⁷ * 4⁷)(2⁻³ * 5⁻¹)/((3⁷ * 4⁷ * 5⁻¹ * 2⁻⁴)
3⁷ * 4⁷ * 5⁻¹ will cancel out to get;
2⁻³/2⁻⁴ = 2
D) ((2 * 3⁻¹) * 2⁰)/(2 * 3⁻¹)
(2 * 3⁻¹) will cancel out to get;
2⁰ = 1
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If we let $f(n)$ denote the sum of all the positive divisors of the integer $n$, how many integers $i$ exist such that $1 \le i \le 2010$ and $f(i)
As per the given positive divisors the second column is the prime number p, then the third is n=p2, and the right column is σ1(n)
Here we have know that Firstly we have to the function that the OP is describing is a well-known divisor function, then here let us use the common notation that can be written as
=> f(n)=σ1(n)
Then the next step is to note that σ1(n) is always an integer and then the square root in the OP's equation means that n must be a square number.
Here we have know that if n=p2 is a square of a prime number (p) then it has exactly 3 divisors then we have the those divisors are 1,p,n
And it can be written as,
=> σ1(n)=1+p+n
Here we have also know that all other square numbers will have additional divisors is written as
=> σ1(n)>1+n−√n
Therefore the answer to the OP’s question is that the number of solutions within the range [1,2010] is equal to the number of primes squared in this range.
Here the term in which is equal to the number of primes in the range [1,√2010] and it has also do in which is number of primes in the range [2,44]
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003 (part 1 of 2) 10.0 points
a 0.58 kg object is at rest. a 2.65 n force
to the right acts on the object during a time
interval of 1.51 s.
a) what is the velocity of the object at the
end of this time interval?
answer in units of m/s.
004 (part 2 of 2) 10.0 points
at the end of this interval, a constant force of
3.60 n to the left is applied for 2.86 s.
b) what is the velocity at the end of the
2.86 s?
answer in units of m/s.
At the end of 1.51 seconds, the velocity is 6.9 m/s, and at the end of 2.86 seconds, it is 24.64 m/s.
What is the basic meaning of velocity?The dislocation that an article of particle experiences with regard to the time is expressed vectorially as velocity. The meter per moment (m/s) is the accepted unit of velocity profiles (also known as speed).
A. F = ma, where F is force, m is mass and a is acceleration.
a = 2.65/0.58
Performing division
a = 4.57 m/s²
With respect to final and starting velocities, acceleration, and time, the formula is v = u + at.
v = 4.57×1.51
The act of multiplying
v = 6.9 m/s.
B). New acceleration = 3.60/0.58
The act of multiplying
New acceleration = 6.2 m/s²
v = u + at
v = 6.9 + 6.2×2.86
Performing multiplication
v = 6.9 + 17.75
Performing addition
v = 24.64 m/s.
At two different locations, the velocities are 6.9 m/s or 24.64 m/s.
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the positive difference between two consecutive even perfect squares is $268$. compute the larger of the two squares.
The larger of the two consecutive even perfect squares is $15,536$.
What is square?Square is a four-sided shape that has four equal sides and four right angles. It is the most basic of all quadrilaterals and is a two-dimensional shape. A square has a line of symmetry that passes through the center and divides it into two equal halves. All four sides of a square are equal in length and all four angles are equal to 90 degrees.
To find this, we need to use the difference between the two squares and solve for the larger number. We know that the difference between the two squares is $268$, so we can write the following equation:
$15,536 - 268 = 15,268$
This equation tells us that the larger of the two squares is $15,536$.
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The larger of the two consecutive even perfect squares is 15,536.
What is square?Square is a four-sided shape that has four equal sides and four right angles. It is the most basic of all quadrilaterals and is a two-dimensional shape. A square has a line of symmetry that passes through the center and divides it into two equal halves. All four sides of a square are equal in length and all four angles are equal to 90 degrees.
To find this, we need to use the difference between the two squares and solve for the larger number. We know that the difference between the two squares is 268, so we can write the following equation:
So, 15,536 - 268 = 15,268
This equation tells us that the larger of the two squares is 15,536.
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i took a borrowed 2500$ from the bank
if the loan is for two years and the amount of interest for those two years is 175$ what is the simple interest rate will i charged
The simple interest rate that you are charged, based on the loan amount and the period of the loan, is 3. 5 %
How to find the simple interest rate ?Borrowers must pay lenders simple interest as a fee in exchange for a loan. Compound interest is excluded from the calculation and just the original principal is used. Simple interest applies to all loans, not just specific ones. Additionally, it refers to the kind of interest that banks give their customers on their savings accounts.
Simple interest is the amount of interest charged on a specific principal amount at a specific interest rate. Compound interest, on the other hand, is the interest that is computed using both the principal and the interest that has accumulated over the preceding period.
To find the simple interest rate, find the simple interest charged per year to be:
= 175 / 2
= $ 87. 50
Then , the simple interest rate would be:
= Simple interest per year / Loan amount
= 87. 50 / 2, 500
= 3. 5 %
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define a regular $n$-pointed star to be the union of $n$ line segments $p 1p 2, p 2p 3,\ldots, p np 1$ such that the points $p 1, p 2,\ldots, p n$ are coplanar and no three of them are collinear, each of the $n$ line segments intersects at least one of the other line segments at a point other than an endpoint, all of the angles at $p 1, p 2,\ldots, p n$ are congruent, all of the $n$ line segments $p 1p 2, p 2p 3,\ldots, p np 1$ are congruent, and the path $p 1p 2, p 2p 3,\ldots, p np 1$ turns counterclockwise at an angle of less than 180 degrees at each vertex. there are no regular 3-pointed, 4-pointed, or 6-pointed stars. all regular 5-pointed stars are similar, but there are two non-similar regular 7-pointed stars. how many non-similar regular 1000-pointed stars are there?
The number of non-similar 1000-pointed stars is
[tex]$\frac{1000-600-2}{2}= \boxed{199}.$[/tex]
If we join the adjacent vertices of the regular [tex]$n$[/tex]-star, we get a regular [tex]$n$[/tex][tex]-gon[/tex]. We number the vertices of this [tex]$n$[/tex][tex]-gon[/tex] in a counter clockwise direction: [tex]$0, 1, 2, 3, \ldots, n-1.$[/tex]
A regular [tex]$n$[/tex]-star will be formed if we choose a vertex number m where [tex]$0 \le m \le n-1$[/tex], and then form the line segments by joining the following pairs of vertex numbers:[tex]$(0 \mod{n}, m \mod{n}),$ $(m \mod{n}, 2m \mod{n}),$ $(2m \mod{n}, 3m \mod{n}),$ $\dots,$ $((n-2)m \mod{n}, (n-1)m \mod{n}),$ $((n-1)m \mod{n}, 0 \mod{n}).$[/tex]
If [tex]$\gcd(m,n) > 1$[/tex], then the star degenerates into a regular [tex]$\frac{n}{\gcd(m,n)}$-gon[/tex] or a (2-vertex) line segment if [tex]$\frac{n}{\gcd(m,n)}= 2$[/tex]. Therefore, we need to find all $m$ such that [tex]$\gcd(m,n) = 1$.[/tex]
Note that [tex]$n = 1000 = 2^{3}5^{3}.$[/tex]
[tex]Let $S = \{1,2,3,\ldots, 1000\}$, and $A_{i}= \{i \in S \mid i\, \textrm{ divides }\,1000\}$. The number of $m$'s that are not relatively prime to $1000$ is: $\mid A_{2}\cup A_{5}\mid = \mid A_{2}\mid+\mid A_{5}\mid-\mid A_{2}\cap A_{5}\mid$ $= \left\lfloor \frac{1000}{2}\right\rfloor+\left\lfloor \frac{1000}{5}\right\rfloor-\left\lfloor \frac{1000}{2 \cdot 5}\right\rfloor$ $= 500+200-100 = 600.$[/tex]
[tex]Vertex numbers $1$ and $n-1=999$ must be excluded as values for $m$ since otherwise a regular n-gon, instead of an n-star, is formed.[/tex]
The cases of a 1st line segment of (0, m) and (0, n-m) give the same star. Therefore we should halve the count to get non-similar stars.
Therefore, the number of non-similar 1000-pointed stars is
[tex]$\frac{1000-600-2}{2}= \boxed{199}.$[/tex]
[tex]Note that in general, the number of $n$-pointed stars is given by $\frac{\phi(n)}{2} - 1$ (dividing by $2$ to remove the reflectional symmetry, subtracting $1$ to get rid of the $1$-step case), where $\phi(n)$ is the Euler's totient function.[/tex] [tex]It is well-known that $\phi(n) = n\left(1-\frac{1}{p_1}\right)\left(1-\frac{1}{p_2}\right)\cdots \left(1-\frac{1}{p_n}\right)$, where $p_1,\,p_2,\ldots,\,p_n$ are the distinct prime factors of $n$.[/tex] [tex]Thus $\phi(1000) = 1000\left(1 - \frac 12\right)\left(1 - \frac 15\right) = 400$, and the answer is $\frac{400}{2} - 1 = 199$.[/tex]
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Can some one do one two and four
Algebra 2 I am really lost on this topic
1) The function f(x) is defined as follows: B. F(x) = -(x + 2)²(x - 2).
2) The standard definition of function f(x) is given as follows: A. F(x) = ax³ + bx² + cx + d.
4. The solution to the system of equations is approximated by the following option:
A. (-3.43, 6.30).
How to define the functions?The function for item 1 is defined considering it's roots, as follows:
x = -2, with a multiplicity of 2, as the function just touches the x-axis, not crossing.x = 2, with a multiplicity of 1.Hence the function is defined as follows:
F(x) = a(x + 2)²(x - 2).
The y-intercept is positive, meaning that:
-8a > 0.
Thus the leading coefficient a is negative, and the correct option is given by option B.
The cube function, with all positive coefficients, is given by option A in item 2.
How to solve a system of equations graphically?The graphic solution of a system of equations is given by the point of intersection of all the equations that compose the system.
The equations that compose the system in this problem are given as follows:
v(x) = x³ + 2x² - 5x + 6.b(x) = -3x - 4.For this problem, the systems are composed by a third degree function v(x) and a linear function b(x), hence we graph them and obtain the point of intersection.
From the graph given by the image presented at the end of the answer, the coordinates of the point of intersection are presented as follows:
(-3.432, 6.296).
This means that, using rounding, the correct option is given by option A for the solution of the system of equations.
Missing InformationItem 1 asks to define the graphed function, while item 2 asks for the standard cube function.
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last week, juan drove b miles. This week, he drove 164 miles. Using b write an expression for the total number of miles he drove in the two weeks.
Answer: b+164
Step-by-step explanation:
Answer: B + 164 = T
Step-by-step explanation:
T = TOTAL
B = LAST WEEK
drag the labels to the correct locations on the image. each label can be used more than once, but not all labels will be used. consider function m. a line graph depicts x on the horizontal axis versus m of x on the vertical axis. a curve declines from (negative 4, 8) through (negative 2, 0), passes through (0, 0) and (4, negative 8), and rises through (6, 8). what is the domain of function m?
The function's approximate range will be specified by -∞<y≤12.
What is a function?The exact same number of elements from Y are assigned to each element of X via a mathematical function from a set X to a set Y.
The function's domain and codomain are respectively referred to as the sets X and Y as a whole.
Functions were first used to describe the idealized relationship between two varying quantities.
Now, drag as follows:
The collection of output values determines a function's range.
The function's indicated range will be -∞ < y ≤ 12.
From the linked graph,
The function's output values (values on the y-axis) range from zero to f(x)=12.
Therefore, the function's approximate range will be specified by -∞<y≤12.
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What is the probability of flipping 4 coins on the same side, that is getting either all heads or all tails? give the exact decimal answer without rounding.
The probability of flipping four coins is 0.0625
Total coins = 4
The study of chances, which are determined by the ratio of favourable occurrences to probable cases, is known as probability.
When flipping a coin, there are two possible outcomes (heads or tails), hence the likelihood of flipping a head-up coin is equal to the likelihood of flipping a tail-up coin.
Thus, the probability is = 1/2
Calculating the probability of getting all heads or all tails when flipping 4 coins -
= 1/2 x 1/2 x 1/2 x 1/2
= 1/16
In decimal form, this will be 0.0625
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if h(x)=x^2-1 and f(x)=3x+5 , what is h(f(x))?
Answer:
3x^2−2
Step-by-step explanation:
Given f(x)=3x−5 and g(x)=x^2+1
∴f(g(x))=f(x^2+1)
=3(x^2+1)−5
=3x^2−2
On a cold day in November, the recorded low temperature was -10 degrees Celsius (ºC) in Pennsylvania. On the same day, the recorded low temperature was in 0ºC Michigan, -20ºC in Minnesota, and 16ºC in Florida. Which list shows the states in order from coldest to warmest?
Florida, Michigan, Pennsylvania, Minnesota
Michigan, Pennsylvania, Florida, Minnesota
Pennsylvania, Minnesota, Michigan, Florida
Minnesota, Pennsylvania, Michigan, Florida
Answer:
The last option:
Minnesota, Pennsylvania, Michigan, Florida
Step-by-step explanation:
Coldest to warmest:
-20°C, -10°C, 0°C, 16°C
Then the order is:
Minnesota, Pennsylvania, Michigan; Florida
please help my sisters out!!
In asking all 349 second graders in a school district, it is found that on average, these second graders have 2.5 pets. Is this number a parameter or a statistic and why?
O Parameter as it represents the population
O Parameter as it represents the sample
O Statistic as it represents the sample
O Statistic as it represents the population
Answer:
Step-by-step explanation:
O Statistic as it represents the sample
The number 2.5 is considered a statistic because it is calculated from a sample of second graders in a school district. This number is an estimate of the average number of pets that all second graders in the school district have, but it is not the exact number, as the sample may not be fully representative of the population. A parameter, in contrast, is a fixed value that represents a characteristic of a population, such as the population mean or population proportion. Since the number 2.5 is an estimate calculated from a sample and not the exact value of the population, it is considered a statistic.
The chef of a pizza place used 7/10 of package of pepperoni and 3/10 of a package of sausage. How nuch more pepperoni than sausage did chef use?
Answer: he use 4 pepperoni more than sausage every times he put 10 meat on the pizza
Step-by-step explanation: both are on 10 so you don't need to change it so 7-3=4 and it's on ten which mean that every times he put 3 sausage, he have to put 7 pepperoni
A total of $6,000 is invested in 2 funds. One of the funds is paying 4% interest and the other is paying 6% interest. The total interest earned in one year was $280. What is the amount of money that was invested in each fund?
Answer:
Answer for the investment problem: Fund 1 was $4,000 Fund 2 was $2,000
Answer for the tickets problem: 123 student tickets were sold and 235 non-student tickets were sold.
Step-by-step explanation:
Sorry I have to go so I don't have time to type up the explanation nicely, but here is my work. Have a great night!
Dave's band is performing in his school's Spring Talent Show this weekend. So, he is making posters to let people know. Dave spreads out a roll of paper and cuts it into 7 equal-sized posters. He decorates the posters and takes them to school.
Dave hangs 4 posters on the side of the gym. He hangs the rest of the posters in the hallway.
What fraction of the roll of paper does Dave hang in the hallway?
(PLEASE HELP)
3/7 of the posters are hanged in the hallway.
What is Fraction?A fraction represents a part of a whole.
Given that Dave spreads out a roll of paper and cuts it into 7 equal-sized posters.
He decorates the posters and takes them to school.
Dave hangs 4 posters on the side of the gym
4/7 of the posters are on the side of the gym.
The remaining posters are in the hallway.
1-4/7
LCM is 7
7-4/7
3/7
Hence, 3/7 of the posters are hanged in the hallway.
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A salesperson earns 25% commission. If they sell $1,750.00 how much do they earn on commission?
The earned commission would be $437.50.
What is a commission?
A commission is a payment made to an employee, typically in sales or finance, for services rendered in the form of a percentage of the revenue generated by the employee's efforts. It is a way for companies to incentivize employees to sell more products or services, as the employee's income is directly tied to the success of their sales efforts.
The salesperson earns $437.50 on commission. This can be calculated by multiplying $1,750.00 by 25% (0.25).
$1,750.00 * 0.25 = $437.50
Hence, the earned commission would be $437.50.
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Some children were playing iSome children were playing in a room. First, they counted all their fingers (including thumbs), then they counted all their ears and found that altogether they had 24 more fingers than ears. How many children were there in the room? n a room. First, they counted all their fingers (including thumbs), then they counted all their ears and found that altogether they had 24 more fingers than ears. How many children were there in the room?
Answer:
There were 3 children in the room
Step-by-step explanation:
Let x be the number of children in the room
Since each child has 10 fingers including their thumbs, total number of fingers =10x
Each child has 2 ears so total number of ears = 2x
Since they had 24 more fingers than ears we get the equation:
10x - 2x = 24
8x = 24
x = 24/8 = 3
Given that the sum of three consecutive whole numbers with 5w as the middle number is equal to aw+b, what are the values of a and b? Fill in the blanks with the correct integers. a = ? b = ?
Answer:
[tex]a=15, b=0[/tex]
Step-by-step explanation:
The numbers are [tex]5w-1, 5w, 5w+1[/tex].
So. the sum is [tex]5w-1+5w+5w+1=15w \implies a=15, b=0[/tex].
8 x 8 x 7how many 4-digit positive integers have four different digits, where the leading digit is not zero, the integer is a multiple of 5, and 5 is the largest digit?
As per given digits of integers, the largest number of possible integers are 84.
Here we have given that the number is a multiple of 5 and the units digit must be 0 or 5.
Then let us consider that if 5 is the units digit then the thousands digit can be 1,2,3, or 4 so here we have 4 options.
Then let us consider that the hundreds digit also has 4 options because it can have 0.
Then the tens digit has 3 options which is written as,
=> 4*4*3 = 48
Similarly, let us consider that if 0 is the units digit, then 5 is the largest digit, there must be a 5 in the integer.
Here we have also note that if the 5 is the hundreds digit, then there are 12 ways.
And here there are 3 places the 5 could be so it can be written as
=> 12*3=36.
Therefore, the total possible numbers are written as
=> 48+36=84 Integers
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Sam has a part-time job delivering flyer start door he heard a quarter for every 10 fires he delivers he wants to earn $45 to buy his mother's birthday present sam figures out that he can write a proportion to determine how many flyers does he needs to deliver to earn $45
We can use a proportion to determine how many flyers Sam needs to deliver to earn $45. A proportion is an equation that states that two ratios are equal. In this case, we can use the ratio of the number of flyers delivered to the amount of money earned.
What in mathematics is a linear equation?
According to Wolfram MathWorld A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Let x be the number of flyers Sam needs to deliver to earn $45. The proportion can be written as:
x/45 = 10/1
We can solve for x by multiplying both sides of the proportion by 45:
x = (10/1)*45 = 450
So, Sam needs to deliver 450 flyers to earn $45.
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Giselle works as a carpenter and as a blacksmith. She earns 20$ per hour as a carpenter and 25$ per hour as a blacksmith. last week, Giselle worked both jobs for a total of 30 hours and earned 690$. How long did Giselle work as a carpenter last week and how long did she work as a blacksmith
Giselle worked 12 hours as a carpenter
She also worked 18 hours as a blacksmith
How to calculate the number of hours that Giselle worked as a carpenter and a blacksmith?Giselle worked as both a carpenter and a blacksmith
She earned $20 per hour working as a carpenter
She also earned $25 per hour working as a blacksmith
She worked for 30 hours to earn $690
Let x represent the number of hours that she worked as a carpenter
Let y represent the number of hours that she worked as a blacksmith
x + y= 30........equation1
20x + 25y= 690......equation 2
From equation 1
x + y= 30
x= 30-y
Substitute 30-y for x in equation 2
20(30-y) + 25y= 690
600-20y+25y= 690
collect the like terms
600+5y=690
5y= 690-600
5y= 90
y= 90/5
y= 18
Substitute 18 for y in equation 1
x+y= 30
x+18= 30
x= 30-18
x= 12
Hence Giselle worked 12 hours as a carpenter and 18 hours as a blacksmith
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PLEASE HELP ASAP!!! It's a math problem I can't figure out and i don't want to get it wrong.
Thank you so much, it's appreciated!
nevermind yall
i figured it out you don't have to answer, claim ur points in the answer idc
Answer: 21 boxes are needed
Step-by-step explanation:
Total area: length = 1.5 + 6.25 + 1.5 = 9.25 height = 1.5 + 6.25 = 7.75
Total Area = 9.25 x 7.75 = 71.6875
Area of the patio = 6.25 x 6.25 = 39.0625
Area of the extension = Total Area - Area of the patio = 71.6875 - 39.0625 = 32.625
Area covered by one box of tiles: 25 x 0.25 x 0.25 = 1.5625
Number of boxes needed: 32.625 / 1.5625 = 20.88 = 21 boxes
I hope this helps even though you already figured it out!
How to tell if a system of 3 equations has no solution or infinitely many?
Answer:A system of linear equations has no solution when the graphs are parallel. Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.
Step-by-step explanation:
the greek army contained two types of soldiers: the upper class and the lower class soldiers. if there were a total of 5 upper class soldiers, and 10 lower class soldiers in a certain part of athens, and the battle of thermopylae demands a force of 4 upper class soldiers and 8 lower class soldiers, how many different battalions can be sent?
50 different greek armies, the upper class and the lower class soldiers battalions can be sent.
The Greek army can form different battalions by choosing 4 upper class soldiers and 8 lower class soldiers from a total of 5 upper class soldiers and 10 lower class soldiers. This problem can be solved using a combination formula known as a binomial coefficient.
The number of different battalions that can be sent is:
(5 choose 4) * (10 choose 8) = 5*10 = 50
Different battalions can be formed by choosing 4 upper class soldiers and 8 lower class soldiers from a total of 5 upper class soldiers and 10 lower class soldiers. Therefore, 50 different battalions can be sent.
So, 50 different battalions can be sent.
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Eli need to order ome new upplie for the retaurant where he work. The retaurant need at leat 546 knive. There are currently 312 knive. If each et on ale contain 10 knive, write and olve an inequality which can be ued to determine xx, the number of et of knive Eli could buy for the retaurant to have enough knive
Eli needs to buy at least 24 sets of knives, as each set contains 10 knives and the restaurant needs 546 knives in total. This can be determined by solving the inequality 10x ≥ 234, where x is the number of sets of knives.
1. 312 + 10x ≥ 546
2. 10x ≥ 234
3. x ≥ 23.4
4. Therefore, Eli needs to purchase at least 24 sets of knives for the restaurant to have enough knives.
Eli needs to order new supplies for the restaurant where he works, and he needs to order at least 546 knives. There are currently 312 knives, so he needs to order more. If each set of knives contains 10 knives, then he needs to determine how many sets of knives he needs to order in order to have enough knives. To do this, we need to set up and solve an inequality. The inequality we need to solve is 10x ≥ 234, where x is the number of sets of knives. This can be solved by dividing both sides by 10, which gives us x ≥ 23.4. This means that Eli needs to purchase at least 24 sets of knives for the restaurant to have enough knives.
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whats the axis of symmetry y=|x-5|+1
Answer:
[tex]y \: = | \: x - 5| + 1[/tex]
A rental car company charge $75 for a 3-day rental and $155 for a 7-day rental. Write an
equation to find the amount that the rental car company will charge for any number of day
The equation to find the amount the rental car company will charge for any number of days is y = 75+20(n-3).
Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.
Given that,
The charge per day for a 3-day rental = 75/3 = 25
The additional charge for an extra 4 days is (155-75)= 80 which is $20 per day.
The charge for a period of n days (n>3) is then 75+20(n-3).
Thus, The equation to find the amount the rental car company will charge for any number of days is y = 75+20(n-3).
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