Answer:
15√2
Step-by-step explanation:
3[tex]\sqrt{50}[/tex] = 3√25·2 = 3·5√2 = 15√2
on saturday morning, wendy watched one and a half hours of her favorite shows on television. during the shows there were 18 commercials. what is the unit rate of commercials per hour?
There were 27 commercials during the shows. The unit rate of commercials per hour must be determined. As a result, the hourly unit rate is 18 commercials. And it is determined by Division.
A division is the process of dividing a given amount into equal parts.
Wendy spent one and a half hours on Saturday morning watching her favourite shows on television.
There were 27 commercials during the shows.
The unit rate of commercials per hour must be determined.
To find this we have to devide 27 by number of hours I.ei.e [tex]\frac{27}{1\frac{1}{2} }[/tex]
Convert [tex]1\frac{1}{2}[/tex] to improper fraction= [tex]\frac{27}{\frac{3}{2} }[/tex].
When a whole number is devided by fraction, the denominator is multiplied with the whole number= [tex]27*\frac{2}{3} =\frac{54}{3} =18.[/tex]
Hence, the unit rate is 18 commercials per hour.
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a landscaper wants to place a stone walkway from one corner of the rectangular lawn to the opposite corner. what will be the length of the walkway? round to the nearest inch. feet
The length of the stone walkway would be 536.64 inches.
To find the length of the stone walkway, the landscaper needs to determine the length of the diagonal of the rectangular lawn.
The length of the diagonal can be calculated using the Pythagorean theorem:
[tex]d^2 = l^2 + w^2[/tex]
Where d is the length of the diagonal, l is the length of the rectangle, and w is the width of the rectangle.
So to find the length of the walkway, the landscaper would need to know the length and width of the rectangular lawn.
Suppose a landscaper wants to place a stone walkway from one corner of a rectangular lawn that is 40 feet long and 20 feet wide to the opposite corner.
Using the Pythagorean theorem, we can calculate the length of the diagonal:
[tex]d^2 = 40^2 + 20^2[/tex]
[tex]d^2 = 1600 + 400[/tex]
[tex]d^2 = 2000[/tex]
[tex]d =\sqrt{2000}[/tex]
[tex]d = 44.72 feet[/tex]
Rounding to the nearest inch, the length of the stone walkway would be 44.72 * 12 = 536.64 inches, which can be rounded to 536 inches.
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Solve for y
3y - 2 = 10 - 3x
The equation solved for the variable y is:
y = 4 - x
How to solve for y?
To do this, we need to isolate the variable y in the given equation.
We have the equation:
3y -2 = 10 - 3x
Adding 2 in both sides we will get:
3y -2 +2 = 10 - 3x + 2
3y = 12 - 3x
Now we can divide both sides by 3 to get:
3y/3 = (12 - 3x)/3
y = 4 - x
That is the equation solved for y.
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Jacqueline reads 25 pages every night. Which graph correctly displays y, the total number of pages that Jacqueline has read after x days?
On a coordinate plane, a graph titled Total Pages Jacqueline Has Read has days on the x-axis and Pages on the y-axis. A horizontal line is at y = 25.
On a coordinate plane, an exponential curve graph titled Total Pages Jacqueline Has Read has days on the x-axis and Pages on the y-axis.
On a coordinate plane, a graph titled Total Pages Jacqueline Has Read has days on the x-axis and Pages on the y-axis. A line goes through points (0, 25) and (13, 40).
On a coordinate plane, a graph titled Total Pages Jacqueline Has Read has days on the x-axis and Pages on the y-axis. A line goes through points (1, 25) and (2, 50).
D) On a coordinate plane, a graph titled Total Pages Jacqueline Has Read has days on the x-axis and Pages on the y-axis. A line goes through points (1, 25) and (2, 50).
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, Jacqueline reads 25 pages every night. Here y is the total number of pages that Jacqueline has read after x days.
Since she reads 25 pages every day and she starts with 0 pages.
Thus, the Total number of pages she reads and a number of days have a proportional relation.
she reads 25 pages a night Meaning that the total number of pages Jacqueline has read (Variable Y) = 25 pages a night (x)
therefore, The correct answer is) D. Because on the graph you can see that it increases by 25 each day which follows the equation Y=25x.
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What is the value of x? Enter your answer of CM in the box.
Answer:
it 56 cm your welcome'
Step-by-step explanation:
Help pls I rlly need it
Answer: The Y intercept is 50 and it represents where the temperature starts.
Step-by-step explanation: The Y intercept is basically where the line is touching on the y line.
how many pounds of raisins at $3/lb must be mixed with 1olb of peanuts worth 2.40/lb to produce a mixture worth $2.75/lb?
We will need 14 lb of raisins for a mixture worth of $2.75/lb
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
According to the data problem,
Raising cost = $3/lbPeanut = 10 lbPeanut cost = $2.40/lbMix = $2.75/lbLets call (x) = number of pounds of raisins we have:
$3.00(x)+$2.40(10) = $2.75(10+x)
3x + 24 = 27.5 + 2.75x
3x - 2.75x = 27.5 - 24
Clearing the variable we have:
0.25x = 3.5
x = 3.5/0.25
x = 14
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Which is the value of the expression
[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ \left( \cfrac{1}{3^2} \right)^{-1}\implies \left( \cfrac{3^2}{1} \right)^{+1}\implies 3^2\implies 9[/tex]
Number 8 please, i have a trig test tomorrow and im struggling on this problem
Answer:
x= 10.2 when rounded to nearest tenth
Find an equivalent ratio in simplest forms 10:45
[tex]10~~ : ~~45\implies \cfrac{10}{45}\implies \cfrac{5\cdot 2}{5\cdot 9}\implies \cfrac{5}{5}\cdot \cfrac{2}{9}\implies \cfrac{2}{9}\implies 2~~ : ~~9[/tex]
what is the answer to 2(-3)(2)
Answer:
-12
Step-by-step explanation:
2x-3=-6-6x2=-12negative x positive = negative positive x negative = negative negative x negative = positivepositive x positive = positiveAnswer: -12
Step-by-step Explanation: 2 times -3= -6, -6 times 2= -12
among a group of 60 engineering students, 24 take math and 29 take physics. also 10 take both physics and statistics, 13 take both math and physics, 11 take math and statistics, and 8 take all three subjects, while 7 take none of the three. show work. include a picture of a venn diagram if you used one. question at position 10 10 2 points question at position 10 how many students take statistics?
60 engineering students are divided into 24 who take math and 29 who take physics. 10 students take statistics and physics together, 13 students take math and physics together. a) There are 26 students take statistics. b) P(A/B)=4/13.
The science of statistics is concerned with the research and advancement of methods for collecting, analyzing, interpreting, and presenting empirical data. The science of learning from data is called statistics, which is also possibly an art. The discipline's focus is on the gathering, analyzing, and interpretation of data as well as the efficient dissemination and presentation of findings that rely on data.
We can assume the following:
1). There are 13-8=5 pupils who study physics and math together but not statistics (green colour)
2). There are 10-8=2 pupils who study physics and statistics together but not math (grey colour)
3). Students who take algebra and statistics but not physics total 11-8=3. (yellow colour)
4). There are 14 pupils (29-5-8-2) who only take physics (pink colour)
We can now determine how many students solely take statistics by doing the following: The number of students enrolled in at least one course (60–7) less the number taking only math or just physics or just statistics but not math.
53-24-14-2=13 students take only statistics
There are 26 students who take statistics, or 13 + 2 + 3 + 8
b) Let's say A takes all three, and B takes statistics. Finding conditional probability is the goal.
P(A/B)= P(A⋂B)/P(B)
P(A⋂B)= 8/60, P(B)=26/60
So,
P(A/B)=P(A⋂B)/P(B)=8/26=4/13
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What is 5pi/4 minus pi/4 equal?
Step-by-step explanation:
So it's...
[tex] \frac{5\pi}{4} - \frac{\pi}{4} [/tex]
Since the denominators are the same (both of the fractions have 4 on the bottom), you can do simple subtraction to the top while keeping the bottom 4
[tex]5\pi - \pi = 4\pi[/tex]
Which means the answer is
[tex] \frac{4\pi}{4} [/tex]
pls help it is due really soon
The total miles Jim walked in 3 weeks is 36.3 miles
What is word problem?A word problem in math is a math question written as one sentence or more that requires children to apply their math knowledge to a 'real-life' scenario.
Word problems are interpreted into mathematics equations
Jim walks 3 times In a week,
Monday he walked 3.6 miles
Wednesday he walked 5.8 miles
Friday he walked 2.7 miles
The total miles he walked in a week is 3.6+ 5.8+2.7= 12.1 miles
The distance he will walk in three weeks will be
3 × 12.1 = 36.3 miles
therefore in three weeks Jim will walk 36.3 miles
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¿cual es la expresión cubica de 1+ i?
The cubic expression of (1 + i) is given as follows:
(1 + i)³ = 0.
How to obtain the cubic expression?The cubic expression is obtained elevating the binomial (1 + i) to the third power, as follows:
(1 + i)³.
Then we expand the expression, applying the rule for the cube of a binomial, hence:
(1 + i)³ = i³ + i² + i + 1.
The basic complex number relation is:
i² = -1.
Hence:
i³ = i² x i = -1 x i = -1.
Then the expression is given as follows:
i³ + i² + i + 1 = -i - 1 + i + 1 = 0.
TranslationThe problem asks for the cubic expression for (1 + i).
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help please
ik ik, its an easy question, its a long story, i just need an answer
Answer:
(5 , -6) I believe this is the answer because I tried it
This table shows how much it costs for a company to produce x number of widgets, and how much revenue the company makes for each additional widget produced. Based on the table, how many widgets should the company produce?
A. 3
B. 4
C. 5
D. 6
Based on the table, the number of widgets that the company should produce will be B. 4
How to calculate the profit?Gain is the best definition of profit, particularly when it is attained by raising the price of goods so that consumer spending exceeds producer expenses and a sizable return on investment is left. Profit is the amount of money that remains after expenditures and expenses have been paid.
This table shows how much it costs for a company to produce x number of widgets, and how much revenue the company makes for each additional widget produced. The widget should be based on where the most profit will be made. This is at 4 unit as the profit will be:
= $49 - $16
= $33
This is the highest profit that can be gotten.
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Please answer (8th grade)
The equation for the Bowler world is c = $1.1g + $5,
The equation for the Lucky spares is c = $1.5g + $3.
and the cost is the same for 5 games and the cost is $10.5.
What is a linear equation?Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Both linear equations with one variable and those with two variables exist.
Given the Bowler, World charges $5.00 to rent shoes and $1.10 per game. Lucky Spares charges $3.00 for shoes and $1.50 per game.
Part A
using g for the number of games and c for the cost
for Bowler World
charges for shoes = $5
cost for per game = $1.1
cost for g games = $1.1g
total cost c = $1.1g + $5 ..........(1)
for Lucky spares
charges for shoes = $3
cost for per game = $1.5
cost for g games = $1.5g
total cost c = $1.5g + $3 ..........(2)
B. if the cost used in both places is equal then equation 1 equals equation 2
so $1.1g + $5 = $1.5g + $3
1.5g - 1.1g = 5 - 3
0.4g = 2
g = 2/0.4
g = 5
and cost is c = $1.1g + $5
c = 1.1*5 + 5
c = 5.5 + 5
c = $10.5
Hence equations are c = $1.1g + $5 and c = $1.5g + $3,
and the cost is same for 5 games and the cost is $10.5.
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At the start of an experiment, some chemicals had a mass of 73 g, rounded to 2 significant figures.
During the experiment, the mass of the chemicals decreased by 8.2 g, rounded to 2 significant figures.
Calculate the lower and upper bounds of the mass of the chemicals at the end of the experiment.
The mass of the chemicals at the end of the experiment is between 54.7 g and 54.71 g.
The lower bound for the mass of the chemicals at the end of the experiment is
= 62 - 7.3
=54.7 g.
The upper bound for the mass of the chemicals at the end of the experiment is 62 - 7.3 + 0.01 = 54.71 g.
Therefore, the mass of the chemicals at the end of the experiment is between 54.7 g and 54.71 g.
Note: The rounding to 2 significant figures means that the mass of the chemicals could be slightly different from the values given, but the difference would be less than 0.01 g.
What is lower bound?
The lowest number that can be rounded to obtain an estimated value is referred to as the lower bound (LB).
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A line has a slope of 1\2 and a run = 50. What is the rise?
Answer:
Step-by-step explanation:
the rise is 100
a+4-a+b-c+d equals what?
Answer:
2a+4+b+d
Step-by-step explanation:
a+a= 2a
4+0=4
b+0=b
c+0=c
d+0=c
the time is takes to build a skyscraper is proportional to its height and inversely proportional to the number of construction workers. if it takes workers years to build a story building, how long will it take workers to build a story building?
If it takes 10 workers 2.5 years to build a 20 story building, it will take 2.5 sec 20 workers to build a 40 story building.
Given that a skyscraper's height and the number of workers needed to build it determine how long the project takes, We must make the time.
Allow the time t, height h, and number of workers to be ω.
Then, based on the relationship,
t = kh/ω
where k is constant.
The formula in the term of k is:
k = tω/h
Additionally, it takes 10 employees t0 2.5 years to construct a 20-story skyscraper.
Now putting the value
k = (2.5 × 10)/20
k = 25/20
k = 5/4
If a 40-story skyscraper requires 20 workers to construct, we have
t = kh/ω
t = (5/4) × (40/20)
t = 5/2
t = 2.5 sec
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The complete question is:
The time is takes to build a skyscraper is proportional to its height and inversely proportional to the number of construction workers. If it takes 10 workers 2.5 years to build a 20 story building, how long will it take 20 workers to build a 40 story building?
suppose of the ten debate team members there are only two members who may be assigned position five in the debate. any member may be assigned positions one through four. in how many ways can the five members be chosen?
There are 45 possible choices for the five members.
There are ten people on the debate team, but only two of them can be in position 5. Positions 1 through 4 can be filled by any 10 members. Using the combination formula nCr, where n is the total number of items and r is the number of items chosen from that set, we can determine the number of ways to select these five members.
In this instance, we have 10C2, which simplifies to 10!/(2!(10-2)!)) or 10 items chosen from a set of 10. This can be reduced to 45, or 109/2. As a result, there are 45 ways to select the five debate team members.
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Find 3 % ½ Show your work.
please help asap my brain is currently sobbing
Answer:
3%=0.03 3%1÷2 =0.015. ..........,...
[tex]3 \frac{1}{4} - 4 \frac{1}{2} \\ \\ \longrightarrow \: \frac{13}{4} - \frac{9}{2} \\ \\ taking \: LCM \\ \\ \longrightarrow \: \frac{13 - 18}{4} \\ \\ \longrightarrow \: \boxed{ \frac{ - 5}{4} }[/tex]
hope helpful! :-;
Please help urgently 55 points
Find the area of the compound shape.(please answer as fast as you can i really need help)
Answer:
93
Step-by-step explanation:
triangle = 1/2*5*6=15
B = 9*6=54
C = 4*6=24
total =54+24+15 = 93
how do I find out the perymeter of the trapezoid and rectangle?
Answer:
you count from the top to the bottem
help will give brainliest
The rate of the given situation will be 2 inches per minute.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
The distance is a one-seventh inch and the time is one-fourteenth minutes. Then the rate as a unit rate is given as,
Rate = (1/7) / (1/14)
Rate = (1/7) x (14/1)
Rate = 14/7
Rate = 2 inches per minute
The rate of the given situation will be 2 inches per minute.
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part b please, this is due tomarrow
The constant of variation is 62.5 and this means that the bus travel 62.5 miles per hour.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
We have to given that;
The given relation is,
⇒ y = 62.5x
Where, y represent distance in mile and x represent the time in hour.
We know that;
The proportional relation is defined as;
⇒ y = kx
Where, k is constant of variation.
Hence, By comparing,
The constant of variation is 62.5 and this means that the bus travel 62.5 miles per hour.
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if x and y are complementary angles, then x and y are ___ vertical
If x and y are complementary angles, then x and y are supplementary vertical.
What are the complementary angles?Complementary angles are two angles whose sum is equal to 90 degrees. Supplementary vertical angles are two angles that are vertically opposite each other and add up to 180 degrees.
Therefore, the correct answer is as given above. It could then be concluded that the correct answer in the case of x and y being complementary angles, then x and y are supplementary vertical.
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