The value of H when T is 85 is 2.5 hours which is calculated from the linear equation in two variables.
The linear equation in two variables is defined as an equation which defines the relationship between two unknown variables.
The general form of linear equation is of the form ax + by = c where a and b are constant co-efficient and c is a constant. Here y is the dependent variable and x is the independent variable.The graph of a linear equation in two variables is a straight line in the cartesian plane.Given the linear equation for total amount of money(T) which is the dependent variable using the independent variable H(number of hours worked) .
T=35 + 20 H
At T = 85 , we substitute the value of T in the linear equation to find H .
T=35 + 20 H
or, 85 = 35 + 20H
or, 50=20H
or, H=2.5
Therefore the value of H is 2.5 hours when T is 85.
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Xio just took a math test with 25 questions, each worth an equal
number of points.
The test is worth 100 points total. If a score of 70
points earns a grade of C, how many questions would Xio need to get
right to get a grade a of C on the test?
Suppose your cable company charges its customers $4 to rent a movie. An online membership costs $21 and members pay only $2.50 to rent a movie. For what number of movies is the cost the same?
The number of movies that will give same cost is 14 movies.
How to calculate the number of movies?From the information, the cable company charges its customers $4 to rent a movie and an online membership costs $21 and members pay only $2.50 to rent a movie.
Let the number of movies for same cost be represented by x. This will be:
(4 × x) = 21 + (2.50x)
4x = 21 + 2.50x
Collect like terms
4x - 2.50x = 21
1.50x = 21
Divide
x = 21/1.5
x = 14
The number of movies will be 14
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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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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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Part A
Fill in the blank question.
SHIPPING The U.S. Department of Commerce regulates how much the actual weight of a package can vary from its labeled weight. A package with a labeled weight of 9.4 pounds can have an actual weight that is plus or minus 0.22 pound.
Part A
Write an absolute value equation to represent the maximum and minimum acceptable weights of the package. Let x be the actual weight of the package.
The simplified value of the maximum weight is 9.62 and the minimum weight is 9.18. Also the function for the maximum and minimum weight is y + x and y - x
Here,
Given that, A package with a labeled weight of 9.4 pounds can have an actual weight plus or minus 0.22 pounds.
Let the weight labeled be y and the actual weight be x
Weight = y ± x
Maximum weight = y + x
Minimum weight = y - x
Weight = 9.4 ± 0.22
Now,
Maximum weight = 9.4 + 0.22 = 9.62 pounds
Minimum weight = 9.4 - 0.22 = 9.18 pounds
Thus, the simplified value of the maximum weight is 9.62 and the minimum weight is 9.18. Also, the function for the maximum and minimum weight is y + x and y - x
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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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Please help me please
Answer:
A
Step-by-step explanation:
the big triangle is a bigger version of the smaller triangle, so it had to be a dilation.
Dilations of images are also similar, not congruent, so the answer is A.
2-124. Troy is a fan of baseball, and his favorite player is Moe Jauer of the Minnesota Triplets. Troy made a table displaying how many home runs Jauer hit during his first five seasons. Graph Troy’s data.
The scatter plot showing Troy's data is given at the end of the answer.
What is a scatter plot, and why it is used in this problem?A scatter plot shows a series of points (x,y), relating the input x to the output y.
For this problem, it is used because we want to graph a discrete function, as:
The input x is the professional year of the baseball player. The output y is the number of home runs hit by the player in the year.Both professional year and home runs are countable amounts, that cannot assume decimal values, hence we have a discrete function and use a scatter plot.
From the table presented in this problem, the points for the scatter plot are given as follows:
(1,6), (2,9), (3,13), (4,7), (5,9).
The scatter plot, labeled and with the points, is shown by the graph at the end of the answer.
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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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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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In an arithmetic sequence, if you are given a3=93 and a5=135, find a=100. Must show work to receive full credit.
The 100th term of the sequence is 2130.
How to calculate the value?a3 = a + 2d = 93
a5 = a + 4d = 135
Compute both equations
(4d - 2d) = (135 - 93)
2d = 42
d = 42/2 = 21
a + 2d = 93
a + 2(21) = 93
a + 42 = 93
a = 94 - 42 = 51
100th term will be:
= a + 99d
= 51 + 99(21)
= 51 + 2079
= 2130
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Mr. Sowers wants to purchase expo markers for his classroom. He has a budget of $35. A four-pack of markers costs $5.49, including tax. Write and solve an inequality, using x for the variable, to solve for the number of packs of markers Mr. Sowers can purchase.
Answer:
5.49x=35
Step-by-step explanation:
the x is the number of markers
solve this please and thank you
Answer:
b 45
Step-by-step explanation:
its b ur welcome parallel
Answer:
Its 6x6
Step-by-step explanation:
because you have to count going up and over
Phaedrus claims that this graph shows a straight
line. Is he correct? Explain why or why not.
Answer:yes
Step-by-step explanation:
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
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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Is 6.5892 a rational number?
Answer:
No.
Step-by-step explanation:
Rational numbers can be written as a fraction.
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
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
Given the following, what is the length, l?
V = lwh
V = 576, w = 6, h = 12
The value of l is. We use simple substitution of values to find the value of l is 48.
We have been given the equation V=lwh where l is the length, we can say that the given equation is that of volume of a cuboid where l is the length, w is the width and h is the height of the cuboid. We know the values of V,w and h. We have to substitute the values of V,w and h in the equation V=lwh inorder to find the value of l. Substitution method is generally used for solving system of equations where we first solve the value of one variable and then substitute the value in the other equation to find the value of the other variable. Since we only have one equation and we know the value of 3 of the 4 variables we only have to solve for one.
V=lwh
l=V/wh =[tex]\frac{576}{6.12} =\frac{576}{72}[/tex]= 48
Thus we get the value of l to be 48 by substituting the values of V,w and h.
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A veterinarian is investigating a new type of tick repellant to determine if it reduces the number of ticks on dogs compared to a current popular brand.
Part A: Which of the following design is most appropriate: observational study, experiment, census, or sample survey? Explain your reasoning.
Part B: Explain how you would implement the design you selected in Part A.
Part C: Explain one benefit your design would provide.
The most appropriate design is an experiment (A), this can be applied by having a control and an experimental group (B), and one benefit is that you can identify the effectiveness (C).
Why is the best design an experiment?Different from an observational study, a census or a survey that are used to collect information about people's preferences, an experiment allows you to test the effectiveness of a treatment, which is the main purpose in this case.
How to implement it?The bst is to have a control and an experiment group. For example you select 30 dogs and use the repelant in 15 dogs; then all dogs are exposed to ticks. As a result you can evaluate how effective the repelant is by comparing the two groups.
What benefit will this design provide?You can directly compare the two groups and determine the effectiveness of the repelant.The experiment can be replicated or repeated.Learn more about experiments in: https://brainly.com/question/11256472
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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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the area of a rectangle is 21, and the length of the rectangle is 1 less than twice the width. find the dimensions of the rectangle.
The dimensions of the rectangle = 6 ft
Geometry defined as:Along with arithmetic, geometry is among the oldest subfields of mathematics. It is concerned with spatial characteristics like the separation between objects, their shape and size, and their relative positions. Geometer is the term used to describe a mathematician who specializes in geometry.
Why does geometry matter so much?At a fundamental level, geometry is essential to understand because it lays the groundwork for learning more complex mathematical concepts. Raj Valli, the founder of Thinkster Math, notes that algebra and geometry frequently overlap. In science and math classes, it introduces crucial formulas like the Pythagorean theorem.
According to the given information:length = 2w - 1
We know that the area:
Area = length * width
Area = 2w - 1 * width
A= 2w^2 -w = 21
2w^2 - w -21 = 0. Solve for w using quadratic formula.
[-b±√(b2 - 4ac)]/2a
[1± √((-1)^2 - 4*2*(-21))]/(2*2)
[1± √(1+168)]/4
w = 3.5 ft
length = 2w - 1
= 2*3.5 - 1
= 6 ft
The dimensions of the rectangle = 6 ft.
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10. Before a race, you start 4 5/8 behind your friend. At the halfway point, you are 3 2/3 ahead your friend. What is the change in distance between you and your friend from the beginning of the race?
The change in distance between you and your friend from the beginning of the race is 8 7/24.
How to calculate the value?It should be noted that before the race, you start 4 5/8 behind your friend and at the halfway point, you are 3 2/3 ahead your friend.
Therefore, the change in distance will be the addition of the fractions given.
= 4 5/8 + 3 2/3
= 4 15/24 + 3 16/24
= 7 31/24
= 8 7/24
Therefore, the change in distance between you and your friend from the beginning of the race is 8 7/24.
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Jackie played the drums in the band if he beat the drum at a rate of 110 beats per minute how many bets would he play in 4 1/2 minutes
Number of beats play by in 4[tex]\frac{1}{2}[/tex] minutes = 495 beats
The number of beats per minute is 110 beats.
The number of beats in 1 minute = 110
The number of beats in 4[tex]\frac{1}{2}[/tex] minute= 110×[tex]4\frac{1}{2}[/tex]
= 110 × 9/2
= 495 beats
Therefore we have total of 495 beats in [tex]4\frac{1}{2}[/tex] minutes.
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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.
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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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?
What is the equation of the line?
Answer:
y=-1/3x
Step-by-step explanation:
The line decreasing from left to right. So, the slope of the line is a negative number. The only answer choice that has a negative number for the slope is A. y=-1/3x.
Hope this helps!
Please mark as brainliest if correct!
Answer:
y = 3x
Step-by-step explanation:
To find the equation of a graphed line, find the y-intercept and the slope in order to write the equation in y-intercept (y=mx+b) form. Slope is the change in y over the change in x.
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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