Answer:
[tex]\frac{4}{49}[/tex]
Step-by-step explanation:
4/7 × 1/7
= 4 × 1/7 × 7
= 4/49
A rental car company charges $37. 50 per day to rent a car and $0. 05 for every mile driven. Alyssa wants to rent a car, knowing that: she plans to drive 100 miles. She has at most $200 to spend. Write and solve an inequality which can be used to determine xx, the number of days alyssa can afford to rent while staying within her budget
Answer: 4 Days
Step-by-step explanation:
To drive a 100 miles you would do 0.05*100=5
it cost 37.50 everyday and if you add the 5.00 it would cost to drive the 100 miles you get 42.50-200=157.50
37.50*4=150+42.50=192.50
she could rent the car for 4 days
HEY I NEED HELP ASAP CAN YOU HELP? WILL GIVE BRAINLYIST
show your work or explain your reasoning in mathematical terms. Be specific. Draw a picture if you need to.
Question:
Abdul wants to put a rug in a square room that has an area of 775 square feet. He wants to leave a 3-foot border of bare floor on each side. What are the dimensions of the rug rounded to the nearest hundredth?
The dimensions of the rug which Abdul would use in discuss as described in the task content are; 21.84 ft by 21.84 ft.
What are the dimensions of the rug rounded to the nearest hundredth?It follows from the task content that the dimensions of the rug which Abdul would use in the room in discuss are to be determined.
Since the room Abdul wants to put a rug on is; 775 ft² and the room is a square room.
It follows that all sides of the room are equal and the length of each side can be determined as;
s = √Area; since Area = s².
s = √775
s = 27.839 ft.
Hence, the dimensions of the room is; 27.839 ft by 27.839 ft.
However, since he wants to leave a 3-foot border of bare floor on each side, it follows that the dimensions of the rug on each axis would be;
= 27.839 - 3 -3 = 21.839 ft on all sides.
Consequently, the dimensions of the rug rounded to the nearest hundredth are; 21.84 ft by 21.84 ft.
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Carlos sold 7 cherry pies and 4 blackberry pies for a total of $71. Elisa sold 3 cherry pies and 4 blackberry pies for a total of $51. What is the cost each of one cherry pie and one blackberry pie?
The cost of one cherry pies is $ 5 and the cost of one blackberry pies is $ 9.
Let the cost of cherry pies be x and the cost of blackberry pies be y.
In case of Carlos, we get the equation as:
7 x + 4 y = 71 …(1)
In case of Elisa, we get the equation as:
3 x + 4 y = 51
4 y = 51 - 3 x …(2)
Put equation (2) in equation (1)
7 x + 51 - 3 x = 71
4 x = 71 - 51
4 x = 20
x = 20 / 4
x = 5
4 y = 51 - 3 (5)
4 y = 51 - 15
4 y = 36
y = 36 / 4
y = 9
Therefore, we get that, the cost of one cherry pies is $ 5 and the cost of one blackberry pies is $ 9.
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Rehan is on holiday in the USA.
Rehan buys
1 pair of trainers costing $60
The exchange rate is $1 = £0.749
Rehan says,
“The trainers cost less than £40”
Rehan is wrong.
Using a suitable approximation, estimate the cost of the trainers in pounds
The cost of the trainers in pounds which is $60 in the USA is £44.94
What is exchange rate?
The exchange rate between the dollar and the pound sterling is the amount at which both currencies exchange hands, I mean the amount of pound sterling that is given in lieu of $1, in this case, for every $1, the amount of pound sterling that is equivalent to it is £0.749, which means that on the basis of the exchange rate the value of trainers in pounds can be determined as shown in details below:
$1 = £0.749
$60=60*£0.749
$60=cost a pair of trainers=£44.94
In short, a pair of trainers selling for $60 in the USA should cost £44.94 based on the exchange rate of $1 = £0.749
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Solve 6(x+3) < 3(2x+6)
Answer:
No solutions.
Step-by-step explanation:
Pre-Solving GivenWe are given the inequality 6(x+3) < 3(2x+6), and we want to solve the inequality for x.
SolvingWe can first do the distributive property on both sides, where we multiply each term on the left side by 6, and each term on the right by 3.
6(x+3) < 3(2x+6)
6x + 18 < 6x + 18
Solving inequalities is a lot like solving equations; we want to isolate the variable by itself on one side.
First, we can subtract 18 from both sides.
6x + 18 < 6x + 18
-18 -18
____________________
6x < 6x
Now, we can subtract 6x from both sides, to get 6x off the right side.
6x < 6x
-6x -6x
0 < 0
We now have the inequality 0 < 0. This is never true, as 0 is always equal to 0.
Therefore, there are no values of x that will make this true, because no matter what, we will end up with a false statement. The answer is no solutions.
A can of soda can have a minimum of 35 milligrams of sodium and a maximum of 45 milligrams of sodium. Write an absolute value inequality
that represents the acceptable amounts of sodium, but don't solve.
An absolute value inequality that represents the acceptable amounts of sodium is; 35 ≤ A ≤ 45
What is the Absolute Value Inequality?We are told that a can of soda can have a minimum of 35 milligrams of sodium and a maximum of 45 milligrams of sodium.
Now, an absolute value inequality that represents this expression would be written as;
35 ≤ A ≤ 45
Thus, we conclude that an absolute value inequality that represents the acceptable amounts of sodium is; 35 ≤ A ≤ 45
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translate the following verbal statement into an algebraic equation and then solve: use x for your variable. the quotient of three more than a number and six is nine.
Answer:
2x)\9
Step-by-step explanation:
Answer:
X+3/6=
Step-by-step explanation:
Can someone help with this?
Answer:
10[tex]\sqrt{15}[/tex] + 21[tex]\sqrt{10}[/tex]
Step-by-step explanation:
-\sqrt{15}(-10-7\sqrt{6})
−
15
(−10−7
6
)
expand -sqrt15(-10-7sqrt6)
1 Expand by distributing terms.
-(-10\sqrt{15}-21\sqrt{10})
−(−10
15
−21
10
)
2 Remove parentheses.
10\sqrt{15}+21\sqrt{10}
10
15
+21
10
I will AWard Brainlist !!! Using your knowledge of special right triangles, find the length of y. Its Math problem Help!!!
thanks alot have good day/night.
Using relations in a right triangle, it is found that the length of y is given by:
[tex]y = 2\sqrt{6}[/tex]
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.The hypotenuse of both triangles is found as follows:
sin(60º) = 6/x.
[tex]\frac{\sqrt{3}}{2} = \frac{6}{x}[/tex]
[tex]x = \frac{12}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}[/tex]
[tex]x = 4\sqrt{3}[/tex]
Hence length y is found as follows:
[tex]\cos{45^\circ} = \frac{y}{4\sqrt{3}}[/tex]
[tex]\frac{\sqrt{2}}{2} = \frac{y}{4\sqrt{3}}[/tex]
[tex]2y = 4\sqrt{6}[/tex]
[tex]y = 2\sqrt{6}[/tex]
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Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18. They set up the situation with the equation below, where x is the number of pairs of pants. Is there a situation in which they pay the same amount for their purchases? Select all the statements that correctly represent this situation. 17.95x + 24 = 18.95x + 18
Cost of Kersey and Jeana is reported. x=6 that is when they each purchase a sweater and six pairs of pants.
Given that,
Kelsey spends $24 on a pullover and $17.95 each on numerous pairs of uniform pants. At a different store, Jeana purchases a sweater for $18 and several pairs of uniform pants for $18.95 apiece.
Cost for Kersey is reportedly;
$17.95 per pair of pants
$24 for each sweater
If there are x pants.
The overall price for Kersey is then;
17.95x + 24
Cost for Jeana, we are informed, is;
$18.95 for each pair of pants
Sweater price: $18
If there are x pairs of pants.
Therefore, Jeana's overall cost is;
18.95x + 18
In the following circumstances, their overall cost will be equal:
17.95x + 24 = 18.95x + 18
18.95x - 17.95x = 24 - 18
x = 6
Therefore, x=6 that is when they each purchase a sweater and six pairs of pants.
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a researcher wishes to estimate the proportion of all adults in north carolina who own a cell phone. the researcher takes a random sample of 1572 adults; 1298 of them own a cell phone. the population of interest is:
The result for the research is given as
The population of interest comprises all adults.The parameter of interest is the numbers of adults owing cell phones.The statistic involved 0.83.We don't know the exact proportion.What is statistic?Statistics is the survey as well as manipulation of data, which includes methods for gathering, reviewing, analyzing, and drawing conclusions from data.
Statistics is divided into two categories: descriptive statistics and inferential statistics.Statistics can be conveyed at various levels, from non-numerical descriptors (nominal-level) to numeric values in regard to a zero-point (ratio-level).To collect statistical data, a variety of sampling techniques such as simple random, systematic, stratification, or cluster sampling can be used.Statistics can be found in almost all of department of every corporation and are also an important part of investing.Now, as per the given question.
The population of interest consists of all adults.The relevant parameter is p, which is the proportion of adults who have a cell phone.The statistic is the proportion, p, of the 1572 adults in the sample who own a cell phone. The sample proportion stands at 0.83.We don't know the exact proportion with 100% certainty, but we know it's in a certain range with a certain degree of certainty.To know more about the statistics, here
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The complete question is -
A researcher wishes to estimate the proportion of all adults who own a cell phone. he takes a random sample of 1,572 adults; 1,298 of them own a cell phone, hence 1298∕1572 ≈ .83 or about 83% own a cell phone.
1. what is the population of interest?
2. what is the parameter of interest?
3. what is the statistic involved?
4. based on this sample, do we know the proportion of all adults who own a cell phone?
For the past 15 months, Frank recorded the cost of his monthly home heating bill and the corresponding average monthly temperature. He displayed the information in the scatter plot shown.
Use the drop-down menus below to complete the statements about the scatter plot.
A scatter plot with average monthly temperature (degrees Fahrenheit) on the x-axis, and monthly heating bill (dollars) on the y-axis. Points trend in a line with a negative slope. Points are around (10, 155), (30, 120), (50, 80), (70, 25), (80, 18).
Point (25,125) means that the monthly home heating bill was $
for an average monthly temperature of
°F.
The plot shows that, in general, as the average monthly temperature increases, the amount of the monthly home heating bill
.
From the given scatter-plot, we have that:
Point (25, 125) means that the monthly home heating bill was of $125 for a month with average temperature was of 25ºF.The plot shows that, in general, as the average monthly temperature increases, the amount of the monthly home heating bill decreases.What does a scatter plot show?A scatter plot shows a series of points (x,y), relating the input x to the output y.
For the scatter-plot in this problem, we have that:
The input x is the monthly temperature.The output y is the heating bill.The points are given as follows:
(10, 155), (30, 120), (50, 80), (70, 25), (80, 18).
When x = 25, y = 125, meaning that the monthly home heating bill was of $125 for a month with average temperature was of 25ºF.
From the points in the scatter plot, when x increases, y decreases, which is the answer for the second item of the question. It makes sense, as when it is hotter, the spending in heaters is unnecessary.
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15. Which of the following numbers has the largest value?
9/2, 4 1/2, 4.505, 4.550
Answer:
4.550.
Step-by-step explanation:
Converting to decimal form:
9/2 = 4.5
4 1/2 = 4.5
4.505
4.550
The largest is 4.550.
MARKING BRAINLEIST IF CORRECT
d ; x = 36 degrees
Step-by-step explanation:Straight angle = 180 degrees
The Acute angle = 2x
The Obtuse angle = 3x
2x + 3x = 180
5x = 180
x = 180/5
x = 36
in a random sample of 66 residents of the state of maine, the mean waste recycled per person per day was 1.31.3 pounds with a standard deviation of 0.450.45 pounds. determine the 95�% confidence interval for the mean waste recycled per person per day for the population of maine. assume the population is approximately normal. step 2 of 2 : construct the 95�% confidence interval. round your answer to one decimal place.
The confidence interval lies between (0.827754, and 1.77225).
What is confidence interval ?
An area created using fixed-size samples of data from a population( sample space) that follows a particular probability distribution is known as a confidence interval. A named population statistic is erected into the interval with a specified probability. A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. The 95 confidence position is the most popular, still other situations, similar to 90 or 99, are sometimes used when calculating confidence intervals. A confidence interval is a set of figures that we're nicely confident represent our true value. A named population statistic is erected into the interval with a specified probability.Here, sample mean x = 1.3
sample standard deviation s = 0.45
and sample size n = 6
The 95% confidence interval for the mean waste recycled
= 1.3 - [tex]\frac{0.45}{\sqrt{6} }[/tex] X [tex]t_{0.025'}[/tex] 1.3 +[tex]\frac{0.45}{\sqrt{6} }[/tex] X [tex]t_{0.025'}[/tex]
= 1.3 - [tex]\frac{0.45}{\sqrt{6} }[/tex] X 2.57058 , 1.3 +[tex]\frac{0.45}{\sqrt{6} }[/tex]X 2.57058
= (0.827754, 1.77225)
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lucy left half of her money to her daughter and half that amount to her son. she also left a sixth to her brother and the remainder, 1,000 was left to the dog. how much did she leave altogether?
The original amount is 12000
How to compute the valueFraction to daughter = 1/2
Fraction to son = 1/2 × 1/2 = 1/4
Brother = 1/6
The remainder is 1000. The fraction for the remainder will be:
= 1 - (1/2 + 1/4 + 1/6)
= 1 - (6/12 + 3/12 + 2/12)
= 1 - 11/12
= 1/12
Therefore, let the original amount be x
1/12x = 1000
x = 12 × 1000
x = 12000
The original amount is 12000.
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What is the sum and classification of StartFraction 3 Over 20 EndFraction + StartRoot 10Which is the decimal expansion of StartFraction 7 Over 22 EndFraction?EndRoot?
The sum of the fraction given in decimal will be 3.46.
How to calculate the fraction?It should be noted that the information is for us to simply add the values that are given.
This will be:
= 3/20 + ✓10
= 0.3 + 3.16
= 3.46
Therefore, the sum of the fraction given in decimal will be 3.46.
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Solve! Quickly, 25 points!
Answer:
can you resend the picture again because its not clear plss
How is the graph of the parent function y=1/x transformed to create the graph of y=-1/3x?
It is horizontally stretched by a factor of 3 and reflected over the y-axis.
A. It is translated 3 units down and reflected over the x-axis.
B. It is horizontally compressed by a factor of 3 and reflected over the x-axis.
C. It is translated 3 units down and reflected over the y-axis.
D. It is horizontally stretched by a factor of 3 and reflected over the y-axis
It is horizontally compressed by a factor of 3 and reflected over the x-axis.
How to determine the transformation?The parent function is given as:
y = 1/x
When the above function is compressed by a factor of 3, the function becomes
y = 1/3x
Next, when the above function is reflected over the x-axis or the y-axis, the function becomes
y = -1/3x
Hence, the transformation is (b) it is horizontally compressed by a factor of 3 and reflected over the x-axis.
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Answer:
The qzz answers to whole thing for "transformations of functions" on Edg. is the following:
1) B
2) A
3) A
4) B
5) B
6) C
7) C
8) A
9) D
10) B
Step-by-step explanation:
Trust me! I got 100% :)
Anna is saving some money. She started with $350 and continues to save an additional $25 a month. 4 Write an algebraic expression that represents the total amount that she saves after m months.
Answer:
y = 25m + 350
Step-by-step explanation:
She already has 350 and every month she will add an additional 25
Answer:
Anna saving her money from m months is 375
Is 6.5892 a rational number?
Answer:
No.
Step-by-step explanation:
Rational numbers can be written as a fraction.
Express the following volume as a monomial.
9m²n⁴
Answer:
3^2m^2n^4
Step-by-step explanation:
3^2m^2 * n^4
How do I do this? How do I get from figure F to figure onto figure G?
Answer:
The answer would be to flip figure F across the y axis then across the x axis. It would then lie on figure G.
Step-by-step explanation:
Select ALL factors of 24.
Question options:
7
8
4
1
48
16
32
3
2
10
Answer:
1, 2, 3, 4, 8
Step-by-step explanation:
The 8 factors of 24 are:
1, 2, 3, 4, 6, 8, 12, 24
The factor pairs of 24 are:
1 × 24 = 24
2 × 12 = 24
3 × 8 = 24
4 × 6 = 24
a child walks due east on the deck of a ship at 4 miles per hour. the ship is moving north at a speed of 5 miles per hour. find the speed and direction of the child relative to the surface of the water.
the speed and direction of the child relative to the surface of the water. 6.04. m/h
What is relative motion?
It implies that every object's motion is characterized in relation to Earth's motion. It implies that the motion of every item is explained in relation to every other object's motion. Motion is therefore independent of the frame of reference.
The child is walking East and the ship is moving north.
The relative motion of the child to the water is found using vector addition.
This means the speed of the child to the water is
N= √4^2 + √5^2
=✓16+25
=✓41
=6.04 m/h
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a man walked for five hours. first he walked along a level road, then up a hill; then he returned around and walked back to his starting place along the same route. he walked a constant 4 miles per hour on the level road, 3 mph uphill and 6 mph downhill. how far did the man walk?
When he walked a constant 4 miles per hour on the level road, 3 mph on uphill and 6 mph on downhill, then he walked 20 miles
Given,
A man walked for five hours
First he walked along a level road, then up a hill, then he returned around and walked back to his starting place along the same route.
We know,
Speed = Distance/ Time
Time = Distance / Speed
The speed when he walked on the level road = 4 miles per hour
Distance traveled on the level road = A
Time taken = [tex]\frac{A}{4}[/tex]
The speed when he walked on uphill = 3 miles per hour
Distance traveled on the level road = B
Time taken = [tex]\frac{B}{3}[/tex]
The speed when he walked on downhill = 6 miles per hour
Time taken = [tex]\frac{B}{6}[/tex]
Then he walked level road again
Total time taken = Time taken on level road+ Time taken on uphill+ Time taken on downhill+ Time taken on level road
[tex]\frac{A}{4}+\frac{B}{3}+\frac{B}{6}+\frac{A}{4}=5\\ \frac{3A+4B+2B+3A}{12}=5\\[/tex]
6A+6B=60
2A+2B=20
Hence, when he walked a constant 4 miles per hour on the level road, 3 mph on uphill and 6 mph on downhill, then he walked 20 miles
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What is the equation of the line that is perpendicular to the line y = 6 and passes through the point (-4,-3)?
x=-4
x = -3
x = -1/6
x = 6
Hence , equation of the line that is perpendicular to the line y = 6 and passes through the point (-4,-3) is x = -4 which is option (a) .
The equation of line is an pure mathematics sort of representing the set of points, that along type a line in a very system. the various points that along type a line within the axis square measure painted as a collection of variables x, y to make an pure mathematics equation, that is named as an equation of a line.The line y = 6 could be a horizontal line through the purpose (0,6) on the coordinate axis. A line perpendicular thereto are vertical and thru the coordinate axis. this suggests its equation are x = a wherever a is that the x-coordinate. Since it should experience the purpose (-4,-3) then the equation is x = -4.
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61% of men consider themselves professional baseball fans. you randomly select 10 men ask each if he considers himself a professional baseball fan. find the probability that the number who consider them themselves baseball fans is
The probability is 0.1932 that a randomly selected man considers himself a professional fan.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
We have been given data as:
The number of randomly selected men, n = 10.
Probability of success, that a randomly selected man considers himself a professional fan, p = 61% or 0.61
Probability of failure, that a randomly selected man does not consider himself a professional fan is:
⇒ q = 1 − p = 1 − 0.61= 0.39
The probability that the number of men who consider themselves professional fans is:
⇒ ⁿcₓpˣqⁿ⁻ˣ
Substitute exactly x = 5
⇒ ¹⁰c₅(0.61)⁵(0.39)¹⁰⁻⁵
⇒ ¹⁰c₅(0.61)⁵(0.39)⁵
⇒ 0.1932
Therefore, the required probability is 0.1932.
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13 1. What is the volume of the cone shown below?
5 cm
13 cm
Note: The figure is not drawn to scale.
the volume of the cone when radius is cm and height is 13 cm is 340.34 cm³
What are derived units?
Defining a derived unit is the process of deriving a measurement unit from one or more of the seven base units of the International System of Units (SI). There are two types of derived units: dimensionless and the product of base units.
Here, the given data for cone are :
radius of base r = 5 cm = 0.05 m
height of cone h = 13 cm = 0.13 m
Now, the volume V of cone is given by :
V = 1/3 πr²h
Now, finding the volume of cone by substituting the values in above equation :
V = 1/3 πr²h
V = 1/3 π x (5)² x 13
V = 340.34 cm³
Therefore, the volume of the cone is 340.34 cm³
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Two rectangular solar panels, A and B, are mathematically similar. Panel A has a diagonal of 90 centimetres and an area of 4020 square centimetres. A 90 cm B 125 cm A salesman claims that panel B, with a diagonal of 125 centimetres, will be double the area of panel A. Is this claim justified?
I just need the points gggggggg