Eli could buy is at least 24 sets of knives
How to determine the number of sets of knives Eli could buy?From the question, we have the following parameters:
Number of knives needed = At least 546Number of knives in the restaurant = 312Number of knives per set = 10Let the number of sets be x
So, we have the following representations
Number of knives needed = Number of knives needed + Number of knives per set x Number of set
So, we have
312 + 10x ≥ 546
Evaluate the like terms
10x ≥ 234
Divide by 10
x ≥ 23.4
Rewrite as
x ≥ 24
Hence, the number of sets of knives Eli could buy is at least 24
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Answer:
Inequality: 312+10x≥546
x≥24
Step-by-step explanation:
its the same as the bottom
Need help on this asap
Answer:
K=0 N=3 and I=-2
it's
3+-20= -17
The same number of guests are seated at each of 8 large tables. There are 2 guests seated at one small table. Write an equation to represent the total number of guests T and the number of people x at
each large table. If there are 82 guests, how many are seated at each large table?
Answer:
10
Step-by-step explanation:
Since there are 2 people sitting alone, we can put them aside
then we have 8 large tables, each seat x number of guests
we would have total 8x guests there
so 8x+2=82
then solve
8x=80
x=10
Solve 2x>8 or 2x< 4.
Evaluate without any table 3log2 +log20 - log 1.6
The value of 3log2 +log20 - log 1.6 is 2.
What is logarithm?
A logarithm is defined as the power to which a number must be raised to get some other values. It is the most convenient way to express large numbers. or
logarithm is the exponent or power to which the base must be raised to be raised to yield a given number.
Given,
3log2 +log20 - log 1.6
we can write it as
log[tex]2^{3}[/tex]+log20 - (log 1.6)
= log 8+ log20 - (log 1.6) (property of logarithm)
= log (8×20/1.6)
=log 100
=2
Hence, the value of 3log2 +log20 - log 1.6 = 2
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PLS HELP WILL MARK BRAINLIEST
Answer:
did not understand waht should we do
subtract (17x^2-6x+12) from (21x^2+13x-9)
we will solve as follows:
[tex](21x^2+13x-9)-(17x^2-6x+12)=4x^2+19x-21[/tex]You have discovered another alien.
What is the equation of the line that provides the correct path to rescue this alien?
Answer:
what is the equation of the line that provides the correct path to rescue this alineAnswer:
✔ y = 0x + 0
Step-by-step explanation:yes
I need answer to this question if you could help me?
Answer:
78.5 square meters
Explanation:
• Given:, A circle with a radius of 5 meters.
,• To find:, Area of the circle
The area of a circle is calculated using the formula:
[tex]A=\pi r^2[/tex]Substitute 5 for r and 3.14 for π:
[tex]\begin{gathered} A\approx3.14\times5^2 \\ =78.5\text{ square meters} \end{gathered}[/tex]The area of the circle is approximately 78.5 square meters.
Given the function-f(x) = 9x + 5, find each of the following. f(8), f(-10), f(0)
Answer:
Step-by-step explanation:
is it
-f(x)=9x+5 or positive?
9(8)+5=72+5
f(8)=77
9(-10)+5=-90+5
f(-10)=-85
9(0)+5=5
f(0)=5
think of f(x) is y instead and whatever is in the parenthesis just plug into the equation for x
Which of the following statements is a valid polynomial identity?
Statement 1: x3 + 27 = (x + 3)(x2 − 3x + 9)
Statement 2: x3 + 27 = (x − 3)(x2 + 3x + 9)
a
Only statement 1 is valid.
b
Only statement 2 is valid.
c
Statement 1 and statement 2 are valid.
d
Statement 1 and statement 2 are invalid.
Answer:
the answer is C :) good luck
What is x in this equation -7(x+-2)=-63
Why can't I see my answer?
Pick one of the remaining choices and explain on the lines below, why thatchoice contains two expressions that are not equivalent for any value of r.
If two expressions have the same coefficients of the variable, then the variable can be any number
For the first choice
3(3r + 3) = 9r + 9 === 1st expression
6r + 6 ===== 2nd expression
If we equate them
9r + 9 = 6r + 6
If we solve the equation we will find just one value of r
9r + 9 - 6r = 6r - 6r + 6
3r + 9 = 6
3r + 9 - 9 = 6 - 9
3r = -3
r = -1
But in the other choices, the two expressions have the same coefficients of r
Then when we equate them they will cancel each other
Then r can be any value
Because it does not affect the equation
An acorn fell from a branch 20 feet high and landed on a branch 7 feet high. How long did it
take the acorn to fall?
It will take 1.62 seconds for an acron to fall on the branch of 7 feet high.
What is defined as the speed of object?The definition of speed is the rate at which an object's position changes in any direction. Speed is defined as the ratio of distance traveled to time spent traveling. Because it has only one direction and no magnitude, speed is a scalar quantity.For the given question,
An acorn fell from a branch 20 feet high.
An acorn landed on a branch 7 feet high.
The total distance travelled by and acron is 20 - 7 = 13 feet.
Let the final velocity of an acron is 'v'.
The initial velocity of an acron 'u' is zero.
Using third equation of straight line.
v² = u² + 2gsu = 0g = 9.8 /sec²s = 13 feetPut the values.
v² = 2×9.8×13
v = 15.96 ft/sec
Put the value in first equation of straight line.
v = u + gt
15.96 = 0 + 9.8×t
t = 15.96/9.8
t = 1.62 seconds.
Thus, it will take 1.62 seconds for an acron to fall on the branch of 7 feet high.
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A chemical company makes two brand of antifreeze. The first brand is 70 % pure antifreeze, and the second brand is 95% pure antifreeze. In order to obtain 110 gallons of a mixture that contains 85% pure antifreeze, how many gallons of each brand of antifreeze must be used?first brand:_____gallonssecond brand:_____gallons
Since the 1st brand is 70% pure antifreeze
Since the 2nd brand is 95% pure antifreeze
Since we need to obtain 110 g of a mixture that contains 85% pure antifreeze
Let the quantity of the first is x and the second is y
Then
[tex]\frac{70}{100}x+\frac{95}{100}y=\frac{85}{100}(110)[/tex][tex]0.7x+0.95y=93.5\text{ (1)}[/tex][tex]x+y=110\text{ (2)}[/tex]Now let us solve the two equations to find x and y
Multiply equation (2) by -0.7
[tex]\begin{gathered} (-0.7)x+(-0.7)y=(-0.7)110 \\ -0.7x-0.7y=-77\text{ (3)} \end{gathered}[/tex]Add equations (1) and (3)
[tex]\begin{gathered} (0.7x-0.7x)+(0.95y-0.7y)=(93.5-77) \\ 0+0.25y=16.5 \\ 0.25y=16.5 \end{gathered}[/tex]Divide both sides by 0.25
[tex]\begin{gathered} \frac{0.25y}{0.25}=\frac{16.25}{0.25} \\ y=66 \end{gathered}[/tex]Substitute the value of y in equation (2) to find x
[tex]x+66=110[/tex]Subtract 66 from both sides
[tex]\begin{gathered} x+66-66=110-66 \\ x+0=44 \\ x=44 \end{gathered}[/tex]First brand: 44 gallons
Second brand: 66 gallons
Beau spends €15000 buying computer
materials for his office. Each year the
material depreciates by 12%.
a Find the value of the material after three
years.
b Find how many years it takes for the
materials to be worth €5 000.
Answer:
First, you must specify if the depreciation is simple or compound
. of the 27 tasks available, 3 will pay $1000, 5 will pay $500, 10 will pay $200, and 9 will pay $100. you are assigned two tasks. what is the probability that you will make at least $1300?
The probability that you will make at least $1300 is 2/39 or 0.0513.
Probability is defined as the likeliness of an event to occur. The probability of any event to occur ranges from 0 to 1, and the sum of all the probabilities of all the events happening is 1.
probability = desired outcome / total outcomes
Using combinations, if there are 27 tasks available, then there are 351 combinations of two tasks assigned.
27C2 = 351
Also, count how many ways you could make at least $1300.
# ways = 2 of $1000 each or 1 of $1000 and 1 of $500
# ways = (3C2) + (3 x 5)
# ways = 3 + 15
# ways = 18
Solve for the probability by dividing the number of the desired outcomes by the number of total possible outcomes.
probability = desired outcome / total outcomes
probability = 18 / 351
probability = 2/39 or 0.0513
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The drivers at a warehouse need to deliver 40,000 packages each day. The warehouse has 128 trucks. Each truck has 350 packages. The drivers deliver all the packages on the trucks. Do the warehouse drivers deliver enough packages
Yes. The warehouse drivers deliver enough packages.
What is an expression?An expression is used to illustrate the information that's given.
In this case, the warehouse has 128 trucks. Each truck has 350 packages. The number of packages that van be delivered will be:
= Number of trucks × Amount in each package
= 128 × 350
= 44800
Since the drivers at a warehouse need to deliver 40,000 packages each day. this means they denied enough packages because 44800 is more than 40000.
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Please help me on this question need it by today
The roots of the quadratic function are -2 and -6.Which of the following are the two factors of the quadratic expression?X + 2X-2X - 6X + 6X + 8X - 8
roots = {-2, -6}
Factors: (x + 6) and (x + 2)
an instructor has graded 22 exam papers submitted by students in a class of 23 students, and the average so far is 73. how high would the score on the last paper have to be to raise the class average by 1 point?
The next score have to be 96 to raise the class average by 1 point.
Explanation :
Let the score of the last paper be x, then
(22(73) + x)/23 = 74
22(73) + x = 74 x 23
1606+ x = 1702
x = 1702- 1606 = 96
x = 96
The next score have to be 96 to raise the class average by 1 point.
Solution in math :
An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values that, when used to replace the unknowns, cause the equation to equal itself. You can solve an equation numerically or symbolically.When an equation is solved numerically, only numbers are accepted as solutions. When an equation is solved symbolically, the solutions can be represented by expressions. The distinction between known variables and unknown variables is generally made in the statement of the problem, by phrases such as "an equation in x and y", or "solve for x and y", which indicate the unknowns, here x and y. Any solution, all solutions, or a solution that meets additional properties, such as belonging to a particular interval, may be found by solving an equation, depending on the context. An optimization problem is one where the goal is to identify the solution that meets a particular criterion best. A solution is a tuple of values, one for each unknown, that satisfies all of a given set of equations or inequalities. The solution set of a given set of equations or inequalities is the set of all of its solutions. There are no values of the unknowns that satisfy all equations and inequalities simultaneously if the solution set is empty.To learn more about how to find value of x refer :
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A flagpole cast a shadow that is 15 feet long. The angle of elevation at this time is 40 degrees . How tall is the flag pole?
Flag pole is 12585 feet long.
Define Tangent.The straight line that "just touches" the curve at a given location is referred to as the tangent line to a plane curve in geometry. It was described by Leibniz as the path connecting two points on a curve that are infinitely near together. A line that only touches a circle or an ellipse at one point is said to be tangential in geometry. If a line contacts a curve at point P, that point is referred to as the point of tangency. In other words, it is described as the line that, at that particular location, indicates the slope of a curve.
Given Data
Angle of elevation = 40°
Adjacent = 15 feet
Let height of opposite be x
tan(A) = [tex]\frac{opposite}{adjacent}[/tex]
tan(A) = [tex]\frac{x}{15}[/tex]
x = 15tan(40)
x = 15(0.839)
x = 12,585
Flag pole is 12585 feet long.
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Agnes, evangelina, isabela, omar, and yuri each made a tower using wooden blocks. each person used a different number of blocks in their tower, and the mean (average) number of blocks in each tower was 25 . yuri used the most blocks in her tower, and agnes used the fewest blocks in her tower. if yuri used 32 blocks, determine the minimum possible number of blocks that agnes could have used.
Given a block play problem, the minimum number of blocks Agnes can use to build a tower is 3 or 1.
To calculate the average (mean) of a set of values, first divide by the number of values in the set. Therefore, the sum of the values in the set is equal to their average multiplied by the number of values in the set. The average number of blocks in each tower was 25, and since there were 5 towers, the total number of blocks used was 5 × 25 = 125. Yuri's Tower used 32 blocks, so the remaining towers used a total of 125 minus 32 = 93 blocks.
To find the minimum possible number of blocks for Agne's tower, let the other three towers use as many blocks as possible. Now we know that Yuri's tower used the most blocks and each tower used a different number of blocks. So the other 3 towers can use up to 31, 30 and 29 blocks respectively. The result was an absolute minimum number of blocks that Agnes could use, 93 - 31 - 30 - 29 = 3
By the way, the minimum number of blocks Agnes can use is not 93 - 32 - 32 - 32 = - 3 , but negative value is not possible. so, if everyone could use the same number of blocks. Agnes must have used at least one block, as it is possible to use a negative number of blocks.
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As a speed skater Kyle cycles between sprinting and recovering on the 111. 12 m short track during practice every day for 50 minutes let T be the time and hours that Kyle sprints during the practice a right the unsimplified expression to represent the total distance Kyle skates it may help you to make a verbal model to represent the total distance Kyle skates be sure to use compatible units be interpret the parts of the expression C simplify the algebraic expression de if Kyle spent 40 minutes sprinting yesterday how far did he skate in all he sprinted for 48 KM/H and his recovery was 18 KM/H
Answer:If t= time sprinting then (50-t)= time recovering
Distance = rate x time= t(48) + (50-t)18
Step-by-step explanation:just yes
-4z^2 + 13z - 3 = 0 solve in quadratic form
Answer:
hii!!! z = 3, ¼
Step-by-step explanation:
Hope this helps xb
In a given year, residents of a country spent approximately $52.9 billion on their pets. Of this amount, $17.3 billion was for veterinarian bills. What percent of the total was spent on veterinary cave?About ...% of the total was spent on veterinary care.
32.7 %
Explanation
we can easily solve this by using a rule of three
Step 1
Let x represents the percent of the total that was spent on veterinary
[tex]\begin{gathered} \text{ \$ 52.9 billions}\rightarrow100\text{ percent} \\ \text{ \$ 17.3 billons}\rightarrow x\text{ percent} \end{gathered}[/tex]
the ratios are equal , so we have a proportion
[tex]\frac{52.9}{100}=\frac{17.3}{x}[/tex]Step 2
solve the equation
[tex]\begin{gathered} \frac{52.9}{100}=\frac{17.3}{x} \\ \text{cross multiply} \\ 52.9x\cdot17.3\cdot100 \\ 52.9x=1730 \\ \text{divide both sides by 52.9} \\ \frac{52.9x}{52.9}=\frac{1730}{52.9}=32.7 \\ x=32.7 \\ \\ \end{gathered}[/tex]so, the answer is
About 32.7% of the total was spent on veterinary care.
I hope this helps you
Triangle XYZ with vertices X(-8, 3), Y(-6, 5), and Z(-5, -2): x = -4
Answer:
X' = (-12,3)
Y' = (-10,5)
Z' = (-9,-2)
Explaination:
Please check image
Based off the x = -4 , I think that means that our x axis is no longer x = 0 but on the x = -4 line
Ex;
if point X is 8 units to the left of x=0, now point X' should be 8 units to the left of x=-4 making point X' = (-12,3)
Can you write a quadratic function that does not have a y-intercept?
Answer:
The graph of a quadratic function will always have one y-intercept
Step-by-step explanation:
Is the given trinomial, 4x squared -20x + 25, a perfect square trinomial?
Yes, 4x² - 20x + 25 = (2x+5)² is a perfect square trinomial.
What is perfect square trinomial?
A trinomial that may be expressed as the square of a binomial is referred to as a perfect square trinomial. Remember that the square of the first term, twice the product of the first two terms, and the square of the final term are the results of squaring a binomial.
The perfect squared trinomials are always in the form:
[tex]a^2 +- 2ab + b^2 = (a+-b)^2[/tex]
The given equation can also be written as:
(2x)² - 2(2x)(5) + 5² = (2x+5)²
This equation is similar to the ideal equation for perfect square trinomial.
Here, a = 2x, b = 5
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Complete Question
Is the given trinomial, 4x² - 20x + 25 = (2x+5)² , a perfect square trinomial?
The teacher recommends that students read for 20 minutes each night how many pages will the students complete
The number of pages read by the student at the constant rate in 20 minutes is 10 pages.
What is termed as the constant rate?In math, a constant rate is the exclusion of acceleration. A function with such a constant rate, in general, has a second derivative of 0. The function would be a straight line if plotted on standard graph paper because the change in y (or rate) would've been constant. Whenever the value of x increases, a value of y does not change.That is, the y value does not change, and the graph is just a horizontal line.For the given question,
The rate at which the student reads the book is given by equation;
y = (1/2)x.
Consider the data from the table given.
For 1 minutes the pages read is 0.5.
From the recommendation of 20 pages by the teacher.
Thus, for 20 min, put the value x = 20 in the equation.
y = (1/2)×20
y = 10 pages.
Thus, the number of pages read by the student at the constant rate in 20 minutes is 10 pages.
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The complete question is-
A student reads at a constant rate in her chapter book, Where the Red Fern Grows. This can be described by the equation
y = (1/2)x. The chart above is complete. The teacher recommends that students read for 20 minutes each night. How many pages will the student complete?