1. Last month, Lucy and Britney each read three books. The tables show the number of pages in each book and the time it took Lucy and Britney to read each book. Which of the tables, if any, represent a proportional relationship?
A) Lucy's table represents a proportional relationship.
B) Neither Lucy's nor Britney's tables represent a proportional relationship.
C) Both Lucy's and Britney's tables represent a proportional relationship.
D) Britney's table represents a proportional relationship.
2. Which statement is TRUE?
A) The constant of proportionality for Lucy's table is 26.
B) The constant of proportionality for Britney's table is 26.
C) The constant of proportionality for Lucy's table is 28.
D) The constant of proportionality for Britney's table is 28.
Answers
Related Questions
Moises has 30 subs. If she keeps getting 30 subs each hour everyday for 10 weeks,how many subs will she have?
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Find the circumradius of the triangle(side lengths 29, 29, 40)
(edit- is there something i am doing wrong or a reason none of my questions have been answered? because i have spent over 85 points asking questions around this difficulty, and have asked some of them a second time, and have waited in between 2and a half hours and an hour for all of them and no one has answered any
Answers
Answer:
See explanation below
Step-by-step explanation:
△ABC is isosceles right triangle because AB = BC = 29. Therefore the height of △ABC (which we can call AD) will bisect base AC at 90 degrees.
We can calculate the height of AD using Pythagorean theorem with BC is the hypotenuse (which is 29), and the side DC (equals 1/2 AC = 40/2 = 20)
=> BC^2 = BD^2 + DC^2
=> BD^2 = BC^2 - DC^2 = 29^2 - 20^2 = 841 - 400 = 441
=> BC = 21
so area of △ABC = hb/2 = (21 x 20)/2 = 210
To find the circumradius, we need to use formula A = abc/4R
=> R = abc/4A
R = (29)(29)(40)/(4 x 210) = (29 x 29 x 10)/210 = 40.05
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20 units is the circumradius of the triangle which has side lengths 29, 29, 40.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
To find the circumradius of a triangle with side lengths a, b, and c, use the formula:
circumradius = abc / 4Δ
where Δ is the area of the triangle.
To find the area of the triangle, use Heron's formula:
s = (a + b + c) / 2
Δ = √(s(s-a)(s-b)(s-c))
where s is the semiperimeter of the triangle.
In this case, the side lengths of the triangle are 29, 29, and 40. The semiperimeter is:
s = (29 + 29 + 40) / 2 = 49
Using Heron's formula, the area of the triangle is:
Δ = √(49(49-29)(49-29)(49-40))
= √(49×20×20×9)
=√176400
= 420
Now, using the formula for the circumradius, we have:
circumradius = abc / 4Δ
= (29×29×40) / (4×420)
=20 units
Therefore, the circumradius of the triangle is 20 units
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w – 43 ≥ 47
Please add work to this
Answers
Answer: W ≥ 90
Step-by-step explanation:
To solve the inequality W - 43 ≥ 47, we need to isolate the variable W on one side of the inequality.
W - 43 ≥ 47
Add 43 to both sides of the inequality:
W - 43 + 43 ≥ 47 + 43
Simplify:
W ≥ 90
Therefore, the solution to the inequality is W ≥ 90.
Explanation:
We want W (or anything we are trying to find a value for) to be by itself on one side of the equation. Since -43 and 47 are like terms and can be combined, we want to bring them together. To do this, we want to cancel out -43 because W and -43 are not like terms. To cancel out -43, we must add +43, because -43+43=0. Whatever we do to one side of an equation we must to do another, so we add +43 on the other side of the equation as well, making it W > 47 + 43, which equals W > 90.
A town is designing a rectangular park that will be 600 feet wide by 1000 feet long. On a scale drawing, the dimensions of the park are 12 inches wide by 20 inches long. A rectangular area of the park for swing sets is 0.5 inch wide by 2 inches long on the scale drawing.
What is the actual length of the swing set area of the park?
Enter your answer in the box.
The actual length of the swing set area of the park is ______ feet.
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Answer: The dimensions of the park on the scale drawing is 12 inches and 20 inches.
Dimension
Actual dimensions:
Park = 600 feet by 1000 feet
Swing set = 25 feet by 100 feet
Swing set on the scale drawing= 0.5 inch by 2 inches
Hence:
Dimension of park on drawing:
Width = 600×1/50
Width = 12inches
Length = 1000×1/50
Length= 20inches
In conclusion the dimensions of the park on the scale drawing are 12 inches and 20 inches.
The area of triangle is 10cm² and its base is 4cm. Find its height
Grade8
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I really hope this helps
Solve for X
(Second problem btw)
Answers
Divide by 2/3 on both sides to get x=8/two-thirds
8/two thirds = 12
X=12
A random selection of 30 students in a middle school was asked their age. Of the students, 2 were 12 years old, 10 were 13 years old, 12 were 14 years old, and 6 were 15 years old.
What is the relative frequency of selecting a 12-year-old student? Express your answer as a percent
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Answer:
2/30 or 1/15 or 6.66%
Step-by-step explanation:
PLEASE HELP!! ILL MARK BRAINLIEST!
Answers
Step-by-step explanation:
20:60
12:36
2:6
there r other ways you can do it tho :)
Answer: 20:60, 12:36, 2:6.
Step-by-step explanation: 4:12 = 1:3. The ratio 4:12 is equal to 1:3. which means that the second number (sn) is 3 times the first number (fn). sn = 3 * fn. The first equation: sn = 3 * 20. 3 * 20 is 60, so the second number would be 60. The second equation: 36 = 3 * fn. Divide each side by three, so the equation reads 12 = fn. The last equation: 6 = 3 * fn. Divide each side by three, so the equation reads 2 = fn.
HELP ME PLEASE I HAVE TO SUBMIT THIS BEFORE 9:15
Answers
Answer: "B. -5"
Step-by-step explanation:
STEP 1: Plug -5 into the equation where "X" currently is; 10 (-5) - 5 = -55
STEP 2: Multiply 10 (-5) [-50].
STEP 3: Update the equation to reflect Step 2; -50 - 5 = -55
STEP 4: Subtract 5 from -50 [-55].
STEP 5: Update the equation to reflect Step 4; -55 = -55
It is true that -55 = -55, so, therefore, the answer is "B. -5."
Kim is playing a board game. He and his opponent were both on the same spot on the board until Kim got a card that sent him -6 spaces. For which of the following is absolute value not helpful?
To determine how many spaces there are on the board.
To determine the distance that Kim moved.
To determine the number of spaces between Kim's current spot and the one he came from.
To determine how far Kim is away from his opponent.
Answers
Answer:
Its To determine how many spaces there are on the bored
Step-by-step explanation:
A random sample was taken to determine whether students from a certain classroom prefer to shop at Store A, Store B, or Store C. There were six students in the sample. Five students preferred Store A, one student preferred Store B, and none of the students preferred Store C.
A. Which of the following represents the percentage of students that preferred Store B?
16.7%
0%
83.3%
20%
B. If there are twenty-four total students in the classroom, about how many of them would you expect to prefer Store A?
20
5
29
30
Answers
Answer:
A) 16.7
B) 20
Step-by-step explanation:
1/6 = 16.7%
24/6 = 4
24 - 4 = 20
Division problem: Jojo has 2 days to get ready for a trip to Washington State. She has 90 items to bring and several suitcases.
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Due at 7:45
What is the median of the following set of numbers?
121, 347, 45, 21, 300, 614, 312, 333, 421
a.300
b.312
c.322.5
d.306
Answers
Answer:
312
Step-by-step explanation:
To find the median of a set of numbers, we need to arrange them in order from smallest to largest and then find the middle number. If there are an odd number of values, the median is the middle number. If there are an even number of values, the median is the average of the two middle numbers.
Arranging the given numbers in order from smallest to largest, we get:
21, 45, 121, 300, 312, 333, 347, 421, 614
There are nine numbers in the set, which is an odd number, so the median is the middle number. The middle number is the fifth number in the ordered list, which is:
Median = 312
Therefore, the median of the given set of numbers is 312.
If x=-5 find the value of 5x^2-2x+5
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When x is equal to -5, the value of the expression 5x^2 - 2x + 5 is 140, by substitution method.
To assess an articulation for a given worth of a variable, we can substitute the worth into the articulation and improve on it. For this situation, we are given the articulation 5x^2 - 2x + 5 and we are told to assess it when x is equivalent to - 5. To do this, we substitute - 5 for x in the articulation to get 5(- 5)^2 - 2(- 5) + 5. We then, at that point, improve on this articulation by first assessing - 5 squared, which is 25. We then increase 5 by 25 to get 125, and add 10 and 5 to find the last solution of 140. In this manner, when x is equivalent to - 5, the worth of the articulation 5x^2 - 2x + 5 is 140.
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Answer: 140
Step-by-step explanation:
given value
x= -5
we need to solve this equation by putting that value of
x =-5 in equation , 5x²- 2x + 5
now , 5 (-5)² - 2(-5) +5
125 + 10 + 5
= 140
Which is a way to find the equation of a line that best fits this data?
Answers
A way to find the equation of a line that best fits this data include the following: A. Use the coordinates of points B and D to find the slope and then the equation of the line that passes through them.
What are the characteristics of a line of best fit?In Mathematics, there are different characteristics that are used for determining the line of best fit on a scatter plot and these include the following:
The line should be very close to the data points as much as possible.The number of data points that are above the line should be equal to the number of data points that are below the line.By critically observing the scatter plot using the aforementioned characteristics, we can reasonably infer and logically deduce that data points B and D represent the line of best fit because they are in a linear pattern.
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can anyone help me get these answered? (how to solve it and the answer)
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is
—
of
for example, what percent of 60 is 57
57 x
— x —
60 100
now what you do is cross multiply. 57x100=5,700
60 • x = 60x
60x=5,700
——————
60
the answer for the first question is 95, so the answer is 95%.
If you need the other questions done just tell me!
68/100x47=31.96
1/4÷1 1/8 pls help ...........................................
Answers
Answer:
1/4÷1 1/8 =1/4÷9/8
1/4×8/9
=2/9 answer
Answer: hope this helps ♡
[tex]\frac{2}{9}[/tex] ≈ 0.22222....
Step-by-step explanation:
1 1/8 = [tex]\frac{9}{8}[/tex]
¼ ÷ 1 1/8 =
¼ ÷ [tex]\frac{9}{8}[/tex] =
¼ × [tex](\frac{8}{9})[/tex] =
1 × 8 / 4 × 9 =
[tex]\frac{8}{36}[/tex] (simplified) → 8 ÷ 4 = 2 / 36 ÷ 4 = 9 → [tex]\frac{2}{9}[/tex] ≈ 0.22222....
PLEASE HELP ILL MARK BRAINLIEST!!
The hole for a support needs to be 4 feet deep. It is currently 1 foot 6 inches deep. How much deeper must the hole be? Show two ways to solve this problem. Use the conversion factor 12/1.
The hole needs to be __ in deeper
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Answer:
4 feet = 48 inches
1 foot 6 inches = 18 inches
The hole needs to be 30 inches deeper.
4 feet - 1 1/2 feet = 2 1/2 feet = 30 inches
The hole needs to be 2 1/2 feet = 30 inches deeper.
PLEASE HELP! Due TODAY
Write equation to represent the relationship between d(distance traveled) and t(time). Use given variables (lower case), no spaces.
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Answer:
d=100t
Step-by-step explanation:
math please give branliest
D = 100
Step-by-step explanation:
I need the steps too pls. It really urgent.
Answers
How can the area of this triangle be determined by forming a rectangle?
Select from the drop-down menus to correctly complete the statements.
Copy and rotate the triangle and place it next to the existing triangle to form a rectangle. The length of the rectangle is
Choose...
units. The width of the rectangle is
Choose...
units. The area of the rectangle is
Choose...
square units.
The area of the triangle is half the area of the rectangle, so the area of the triangle is
Choose...
square units.
Answers
Answer:
Length of the rectangle = 5 units
Width of rectangle = 4 units
Area of rectangle = 20 units
Area of triangle = 10 units
Step-by-step explanation:
Since I don't know the answer choices, I am assuming the base of the triangle as the length and the height as the width. Check your answer choices and switch 4 and 5 if it is the other way around
Using the graph
The rectangle formed by rotating the triangle and placing it along the original rectangle will have a length(base)
= length of the base of the triangle
= 5 units
The width of the rectangle will be the same as the height of the rectangle = 4 units
The area = length x width = 5 x 4 = 20 units
Area of triangle = half area of rectangle = 20/2 = 10 units
Marcus dilates figure ABC with a scale factor of 1, with a center of dilation at the origin. The original figure has coordinates A(3, 5), B(6, 10), and C(10, 5). Which statement below is true about the resulting image.
Point A’ will be at (6, 10).
The length of ' will be 7 units.
The image will be the same size, but shifted 1 unit closer to the origin.
The image will move to be centered over the origin.
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Answer:
1 is the answer. The length will be 7 unitStep-by-step explanation:
make me brainlist
use 9 to factor out 45+18
Answers
Answer: 9(5+2)
Step-by-step explanation:
45/9=5
18/9=2
Answer:
9(5+2)
Step-by-step explanation:
9(5)=45
9(2)=18
Therefore, the answer is 9(5+2)
please help me asap please.
Answers
Answer: I think it’s 20 in squared.
Step-by-step explanation:
Also, googling “area of a triangle calculator” will get u a super easy way to do those :)
Please help me I'm confused.
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Number 2 is a non-terminating decimal
Number 3 is a terminating decimal
Number 4 is a whole number
If you want an explanation, please let me know in the comments! Hope this helped!
Barney built a fence around the back of his yard. He built 7 feet of the fence every day in July and was finished. How long was his fence?
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Hence, Barney is collecting an average of 9 coins every day.
HELP ME PLEASE! HW is due today!!
What equation represents relationship between number of games, y, and number of weeks, x.
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y=3x
If you look at the graph you can see that it jumps from 3 to 6 to 9 to 12 which is multiplying by 3.
A homeowner compared his electric bills from the last four months. In January, his bill was up $30; in February it was up another $6; in March, his bill was down $25; and in April, it was down $16. Which month showed the greatest change in his bill?
March
February
January
April
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What is the equation of this function?
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We can use the point-slope form of a linear equation to find the equation of the function:
y - y1 = m(x - x1)
where m is the slope of the line, and (x1, y1) is a point on the line.
First, we can find the slope of the line by using the two given points:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) = (4, 24) and (x2, y2) = (6, 30):
m = (30 - 24) / (6 - 4) = 3
Now we can use one of the two given points, say (4, 24), and the slope m = 3 to write the equation of the line in point-slope form:
y - y1 = m(x - x1)
y - 24 = 3(x - 4)
Simplifying this equation, we get:
y - 24 = 3x - 12
y = 3x + 12
Therefore, the equation of the linear function is y = 3x + 12.
three numbers are in the ratio 1:3:4. The sum of the squares of these numbers is 1274. Find the number. I need answer ASAP will give brainliest to best and well explained answer
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Divide 1274 by 8 to find what 1 part of the ratio is.
The answer is 159.25.
Square root of 159.25 is 12.62. This is the answer to the 1 in 1:3:4
The square root of 159.25*3 is 21.86
This is the answer to the 3 in 1:3:4
The square root of 159.25*4 is 25.24
So the numbers are (rounded) roughly 12.62, 21.86 and 25.24.
The answers have been rounded to 2 dp