Answer:
The total number of whole cups that we can fit in the dispenser is 25
Step-by-step explanation:
It is given that the height of each cup is 20 cm.
But when we stack them one on top of the other, they only add a height of 0.8 to the stack.
The stack of cups has to be put in a dispenser of height 30 cm.
So we need o find out how many cups can fit in the dispenser.
Since the first cup is 20 cm high, the height cannot be reduced. So the space to fit in the remaining cups in the stack is only 30-20 cm as that’s the remaining space in the dispenser
So,
30 - 20 = 10 cm
To stack the other cups we have 10 cm of height remaining
As we know that addition of each adds 0.8 cm to the stack, the total number of cups that can be fit in the dispenser can be calculated by the following equation. Let the number of cups other than the first cup be denoted by ‘x’.
10 + 0.8x = 30
0.8x = 20
x = 25
The total number of cups that we can fit in dispenser is 25
The principal P is borrowed at a simple interest rate r for a period of time t. Find the loan's future value A, or the total amount due at time t. Round answers to the nearest cent. P=$2000, r=%6, T=6 years
Answer:
$2720
Step-by-step explanation:
Given data
Principal=$2000
r= %6
T= 6 years
The expression for the final amount is
A= P(1+rt)
A=2000(1+0.06*6)
A=2000(1+0.36)
A=2000*1.36
A=2720
Hence the amount is $2720
What is the probability that you will randomly land on a BLUE section?
Write your answer in a simplified fraction, using a "/" to separate the numerator and denominator.
Answer:
2/8. or simplified= 1/4
Step-by-step explanation:
1. F(-5)=2x+1
2. F(-4)=2x+1
3. F(1)=2x+1
4. F(3)=2x+1
5. F(5)=2x+1
Answer:
1. F(-5) = -9
2. F(-4) = -7
3. F(1) = 3
4. F(3) = 7
5. F(5) = 11
Step-by-step explanation:
For each problem, F(x) is replaced with x.
An example is F(-5) = 2x + 1 (your first question).
To solve this, you replace x with -5.
This creates F(-5) = 2(-5) +1
We just simplify by multiplying -5 by 2 and then adding 1.
-5 times 2 equals -10. -10 plus 1 equals -9.
Your final answer for this example problem would be F(-5) = -9.
This applies to all problems as such -- F(x) where x inside the parentheses replaces all x values in the equation.
Hope this helped!!
Find tan(a) in the triangle.
Choose 1 answer:
A. 7/25
B. 24/25
C. 7/24
D. 24/7
Tan(a)= Toa
Toa =opposite/adjacent
Toa=7/25
final answer is 7/25
Answer: 24/7
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When creating a coordinate plane, which direction does the y-axis lay?
Group of answer choices
diagnol
none of the above
vetical
horizontal
Which sentence is true about quadrilaterals?
Group of answer choices
All squares are rectangles.
All rectangles are rhombi.
All rectangles are squares.
All rhombi are squares.
What kind of triangle has exactly 2 congruent sides?
Group of answer choices
right
isosceles
scalene
equilateral
What is the name of the quadrilateral that has 1 and only 1 set of parallel sides?
Group of answer choices
trapezoid
square
rectangle
rhombus
Which of the following describes a triangle?
Group of answer choices
only 1 pair of parallel sides
no pairs of parallel sides
3 parallel sides
2 parallel sides
Answer:
#1 ) Vertical
#2) All rhombi are squares
#3) Isosceles
#4) Trapezoid
#5) No pairs of parallel sides
Hope this helps! Mark me brainliest if I'm right :)
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Answer: 0.086x
Step-by-step explanation:
Since the trend line starts at the origin, there is no y-intercept. To calculate the slope, divide the change in y over change in x. Since one of our points is the origin, we can just divide the y value by the x value, or 1.38 by 16, to get 0.08625. Rounded to the nearest thousandth, we get a slope of 0.086.
Sue and Bill share a 16-ounce box of cereal. By the end of the week, Sue has eaten 5 8 of the box, and Bill has eaten 1 4 of the box of cereal. How many ounces are left in the box?
Answer: 2 ounce
Step-by-step explanation:
Given
16 ounce of the box is shared by Sue and Bill
Sue has eaten [tex]\frac{5}{8}[/tex] of the box
Bill has eaten [tex]\frac{1}{4}[/tex] of the box
total cereal eaten by them is
[tex]\Rightarrow \dfrac{5}{8}+\dfrac{1}{4}=\dfrac{5}{8}+\dfrac{2}{8}\\\\\Rightarrow \dfrac{7}{8}[/tex]
So, they have eaten this much of the box. Amount left in the box is
[tex]\Rightarrow 1-\dfrac{7}{8}\\\\\Rightarrow \dfrac{1}{8}[/tex]
In ounce it is
[tex]\Rightarrow 16\times \dfrac{1}{8}\\\\\Rightarrow 2\ \text{ounce}[/tex]
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Find the value of y that makes the equation 3y = x + 2 true, when x = 1.
A. 1
B. 3
C. 1/3
D. 2
Answer:
A. 1
Step-by-step explanation:
just plug it in here
3y = 1 + 2
3y = 3
y = 1
√(4²×49)
__________________________________________
Usted esta tratando de manejar una inversion con un valor actual de $ 10,000 dentro de 10 años al 5% con acumulación anual. ¿ Cuanto necesita invertir?
Answer:
$6,139.1
Step-by-step explanation:
Using the compound interest formula;
A = P(1+r)^t
P is the amount invested
A is the amount = $10000
r is the rate = 5%
t is the time = 10years
10000 = P(1+0.05)^10
10000 = P(1.05)^10
10,000 = P(1.6289)
Swap
P(1.6289) = 10,000
P = 10,000/1.6289
P = 6,139.1
Hence I need to invest $6,139.1
The management of a department store has decided to enclose an 800 sq. ft.area outside the building for displaying potted plants and flowers. One side willbe formed by the exterior wall of the store, two sides will be constructed of pineboards, and the fourth side that is opposite to the wall will be made of galvanizedsteel fencing. If the pine board fencing costs $6/ft. and thesteel fencing costs $3/ft,determine the dimensions of the enclosure that can be erected at minimum cost
Answer:
Dimension of the enclosure is 56.56 ft * 14.14 ft
Step-by-step explanation:
Given -
Let us suppose that x is the length of steel fence and y is the length of one side of pine boards
We know that - xy = 800.
y = 800/x
Let us say that C is the cost of fence
= 3x + 6(2y) = 3x + 12y = 3x + 12(800/x)
C = 3x + 9600x-1, x > 0
C' = 3 - 9600x-2 = (3x2-9600)/x2
C' = 0 when 3x2 = 9600
x2 = 3200
x = √3200 ft ≈ 56.56 ft
So, the cost is minimized when x ≈ 56.56 ft and y = 800/x ≈ 14.14 ft
A box plot is shown below what is the median and q3 of the data set represented on the plot median=30;q3=44
The required boxplot isn't attached, an hypothetical solution is given which could be applied to solve your actual task.
Answer:
Kindly check explanation
Step-by-step explanation:
The median of a dataset plotted on a box and whisker plot can be obtained directly from the plot as the point where a vertical line splits the box. The line inside the box gives the median of the data. The Q3 value which is the upper quartile is depicted on the box and whisker plot as the endpoint of the box. The endpoint of the box gives the upper quartile value for the dataset.
In the scenario above, the median = 29
The upper quartile = 38
notacion cientifica de 81,300
Answer:
hola!!thanks for the fact 81,300 from scientific notation
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Answer: Mean
Step-by-step explanation: the mean, is the average or the expected value that measures the central value of a data set. It is found by adding all of the values in the data set and dividing it by the number of values.
A DVD player manufacturer shipped 960 DVD players last month. According to the manufacturers records, 5 out of every 24 players were repaired during the first year of ownership. How many of the 960 DVD players were repaired in the first year?
a: 40
b: 120
C: 192
D: 200
Answer:
D: 200
Step-by-step explanation:
Given that
The DVD player shipped 960 players last month
There is a record that out of every 24 players, the 5 would be the repaired
So we need to find the number of DVD players were repaired in this 960 players
So
= 960 × 5 ÷ 24
= 200 players
Hence, the option is d.
what is this can someone please help ?
Answer:
The answer is most likely A
Hope this helps if t does please consider giving brainliest
Cya on the next one!
Step-by-step explanation:
When n = 4, which of the expressions below will be greater than 20? Select all that apply.
A) n2+6n÷3
B) 12n –(6n+3)
C) n2–6
D) 4(n+6) –3n
Are the vectors u1→=<2,3>and u2→=<-3,-2>parallel? Show your work and explain.
Answer:
Two vectors are parallel if they are scalar multiples of one another. If u and v are two non-zero vectors and u = c v, then u and v are parallel. The following diagram shows several vectors that are parallel.
Step-by-step explanation:
The requried given vectors are not parallel. As their dot product is not zero.
What is a vector?Vector is defined as the quantities that have both magnitude and direction are called a vector quantity and the nature of the quantity is called a vector.
Two non-zero vectors are parallel if they are scalar multiples of each other. In other words, if one vector is a constant multiple of the other, then they are parallel.
Let k be the scalar multiple such that:
u₁ = k u₂
Substituting the given values of u₁ and u₂, we get:
<2, 3> = k <-3, -2>
Multiplying both sides by -1, we get:
<-2, -3> = k <3, 2>
Now, we can see that the two vectors are not scalar multiples of each other, since there is no value of k that satisfies this equation. Therefore, u₁ and u₂ are not parallel.
We can also verify this by checking their dot product. If the dot product of two non-zero vectors is zero, then they are orthogonal (perpendicular), not parallel. The dot product of u₁ and u₂ is:
u₁ ⋅ u₂ = (2)(-3) + (3)(-2) = -6 - 6 = -12
Since the dot product is not zero, we can conclude that the vectors u₁ and u₂ are not parallel.
Learn more about vectors here,
https://brainly.com/question/13322477
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what is a irrational number minus a irrational number?
Answer:
They won't both be rational but that's about it. If one is rational and the other is not then the result is certainly irrational. Subtracting two irrational numbers might produce a rational value but it might also not. Consider: a=1+2–√, b=2–√ and a=3–√, b=2–√.
Step-by-step explanation:
Answer:
Rational number minus irrational number will result in an irrational number respectively : 2 - √3 is an irrational number. And it's consequent results [ Addition ] will also result the same : Aslike : 2 + √3 is also an irrational number. If you dig deep into the question it is similar to the basic odd minus odd or even minus even.
Hope this helps <3
Leon is going to toss two number cubes, each labeled 1-6. What is the probability that Leon will toss a sum of 6? 1 /1 2, 1/6, 1/9, or 5/36
Answer:
Step-by-step explanation:
5/36
4/5 N= 2/3. N = ?
2/15
5/6
1 1/5
1 7/15
Answer:
N = 5/6
Step-by-step explanation:
4/5 N= 2/3. Find N (solve for N).
Isolate N. To do this, multiply both sides of the equation by (5/4):
(5/4)(4/5)N= (5/4)(2/3)
becomes N = 10/12, or N = 5/6.
14523 round to nearest 10
Answer:
14520
Step-by-step explanation:
A sociedade brasileira de pediatria recomenda limitar o tempo máximo de telas e jogos de videogames a três horas por dia, para adolescentes com idades entrar 11 e 18 anos Este tempo máximo, se usado todos os dias, representa, dos 11 aos 18 anos, um total de horas que equivale a A) 1 ano B) 3 anos C) 6 anos D) 7 anos E) 8 anos
Responder:
A) 1 ano
Explicação passo a passo:
Tempo máximo de tela = 3 horas / dia
Número de anos entre 11 e 18 anos = 8 anos
Vamos calcular o número de tempo de tela em um ano:
Número de dias em um ano = 365
Horas de uso em um ano:
3 horas / dia * 365 dias = 1.095 horas
Horas de uso em 8 anos:
1.095 horas * 8 = 8.760 horas
Convertendo o número de horas em anos:
Número de horas em um ano:
24 horas * 365 dias = 8760 horas por ano
Anos de tempo na tela:
Número de horas em 8 anos / número de horas em um ano
8760/8760 = 1 ano
Solve the equation: 7(x + 8) = 49
Answer:
-1
Step-by-step explanation:
1.)Reorder the terms:
7(8 + x) = 49
(8 * 7 + x * 7) = 49
(56 + 7x) = 49
2.)Solving
56 + 7x = 49
3.)Solving for variable 'x'.
4.)Move all terms containing x to the left, all other terms to the right.
5.)Add '-56' to each side of the equation.
56 + -56 + 7x = 49 + -56
6.)Combine like terms: 56 + -56 = 0
0 + 7x = 49 + -56
7x = 49 + -56
7.)Combine like terms: 49 + -56 = -7
7x = -7
8.)Divide each side by '7'.
x = -1
9.)Simplifying
x = -1
Hope this helps
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NEED HELP! The wind-speed, in miles per hour (mph), was measured every six hours during a day on the Isles od Scilly.
Answer:
Mean=
36/5=7.2
Median=8
Step-by-step explanation:
mean=add all the numbers/divide by how many
13+12+8+2+1=36
5 numbers altogether hence,
36/5=7.2
median=arrange all numbers and middle term is the median(for odd numbers only)
13,12,8,2,1
Hence,8 is the middle term
Hope this helped xx
Sora was given two data sets, one without an outlier and one with an outlier.
Data without an outlier: 108, 113, 105, 118, 124, 121, 109
Data with an outlier: 108, 113, 105, 118, 124, 121, 109, 41
How is the mean affected by an outlier?
The outlier did not affect the mean at all.
The outlier made the mean higher than all the other values.
The outlier made the mean lower than all the other values.
The mean is centered around all the other numbers in both sets of data.
Answer:
The outlier made the mean lower than all the other values.
Step-by-step explanation:
Mean is a measure of central tendency. It is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
Mean of numbers without the outlier = (108 + 113 +105 + 118 + 124 + 121 +109) / 7 = 114
Mean of numbers with the outlier = (108 + 113 +105 + 118 + 124 + 121 +109 + 41) / 8 = 104.9
the mean with the outlier is lower than any of the numbers
Answer:
C
Step-by-step explanation:
Create a data set with at least 7 values so that the mean is 20.
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Answer:
I cant remember this
Step-by-step explanation:
i cant remember
Answer:
Hello! answer: 45, 20, 15, 11, 36, 8, and 5
Step-by-step explanation:
Data set I created: 45, 20, 15, 11, 36, 8, and 5
It doesnt matter what the data set is as long as it has 7 numbers added together that equals 140 because 140 ÷ 7 = 20 45 + 20 + 15 + 11 + 36 + 8 + 5 = 140 then divide by how many numbers are in the data set and 140 ÷ 7 = 20 Hope that helps
The price of an item has been reduced by 35%. The original price was $17.
Find the price now
Will the product of two numbers with opposite signs have a negative or positive answer?
Answer:
The product of two integers of opposite signs is equal to the additive inverse of the product of their absolute values.
Step-by-step explanation:
On a trip, Gavin bought a ping-pong racket for $33. With the tax, he paid $36.96. What is the tax rate, in percent?
Answer:
12%
Step-by-step explanation:
Tax = 36.96 - 33 = 3.96
Tax rate = 3.96/33 * 100 = 12%