Which of the following graphs show a proportional relationship?
Choose all answers that apply:
Choose all answers that apply:
(Choice A, Checked)
A
(Choice B, Checked)
B
(Choice C)
C
None of the above
This is from Khan Academy. Proportional Relationships
Answers
Answer:
it should be B
Step-by-step explanation:
it looks like a proportional line
Answer:
Answer A and answer B
Related Questions
Solve the right triangle.
b= 1.26 c=4.58
Need answers for A,B,a
I keep getting it wrong.
Answers
Answer:
a=4.40
Step-by-step explanation:
To find value of a use pythagoras theorem:
c^2=b^2+a^2
Rearrange the equation:
a^2=c^2-b^2
Substitute the values:
a^2=(4.58)^2-(1.26)^2
After calculation:
a=4.40
The maximum grain yield for corn is achieved by planting at a density of 37,000 plants per
acre. A farmer wants to maximize the yield for the field represented on the coordinate grid.
Each unit on the coordinate grid represents one foot. How many corn plants, to the nearest
thousand, does the farmer need? (Hint: 1 acrt = 43,560 ft?)
у
500 fx
E
F
X
-500
0
500
G
-500
H
The farmer needs approximately
corn plants.
Answers
According to the question, there are 37000 plants per hectare, the total corn plan required is 475,665.75 corn plants
Determining the area of a trapezium?The trapezium is a 2 -dimensional plane shape with the area calculated as shown below:
The formula for calculating the area of a trapezoid is expressed as:
Area = 0.5(a + b)h
Given the following parameters
a = 500 ftb = 900ft
height h = 800ft
Substitute the given parameters
Area = 1/2 (500 + 900) * 800
Area = 1/2 (1400) * 800
Area = 560000 square feet
Since 1 acre is equivalent to 43560 square feet, hence the total acre required is expressed as:
Total acre = 560000/43560
Total acre = 12.856 acres
Also since there are 37000 plants per hectare, the total corn plan required is 475,665.75 corn plants
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What is the length of AB?
B
4x
2x + 6
50"
A
50°
C
O A. 9
O B. 3
O C. 12
O D. 6
Answers
Answer:
C. 12
Step-by-step explanation:
\(4x=2x+6\)
\(4x-2x=6\)
\(2x=6\)
\(x=3\)
~
\(AB=4x\\=4(3)\\=12\)
~
Therefore, your answer is C) 12 !!!!!!
Write and solve a proportion to answer the question. 25% of what number w is 9? 25 100 =
Answers
Answer:
36
Step-by-step explanation:
to find 100%, multiply 9 (25%) by 4 and get 36
25% of 36 is 9.
Important information:
25% of a number w is 9.We need to find the unknown number w.
Proportion:25% of a number w is 9. So,
\(\dfrac{25}{100}w=9\)
\(\dfrac{1}{4}w=9\)
\(w=9\times 4\)
\(w=36\)
Thus, the value of the unknown number is 36.
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The RSM geometry Principal test has 8 true-false questions. In how many ways can a student answer these questions?
Thank you :)
Answers
Answer:
256 ways-------------------------
Each question can be answered either true or false, giving two possible choices for each of the 8 questions.
Therefore, the total number of ways to answer the questions is the product of the number of choices for each question, which is:
2⁸ = 256The population of bears on a nature preserve was 95 last year.This year , the population increased by 20% . what is the new bear population on the preserve
Answers
Answer:
114
Step-by-step explanation:
120% of 95 = 1.2 × 95 = 114
Caleb has a part-time job at an ice skating rink selling hot cocoa. He decided to plot
the number of hot cocoas he sold relative to the day's high temperature and then
draw the line of best fit. Based on the line of best fit, how many hot cocoas would you
predict Caleb to sell if the day's high temperature were 12°F?
Hot Cocoas Sold
Answers
Therefore , As a result 5, 10, and 15 make up the reasonable domain for the function 2 (l + w) = 64..
The definition of functionA connection between a group of sources and one output for each input is referred to as a function. A function is, to put it simply, a collection of equation connected to a single, unique output. In mathematics, a function is a statement, rule, or law that describes the connection between two variables (the dependent variable). One input leads to one output when a rule of this type is used. by Alex Federspiel, the photographer. This statement gives an example of y=x2. There is just one output for y from any input for x. According to our definition, y is a function of x since x is the input value.
We must determine the length and breadth values necessary to make the rectangle's perimeter 64.
l + w = 32
The possible widths are 5, 10, 15, 20, and 25.
Now,
\(l + 5 = 32\\l = 27\\l + 10 = 32\\l = 22\\l + 15 = 32\\l = 17\\l + 20 = 32\\l = 12\\l + 25 = 32\\l = 7\)
The domain has widths of 5, 10, 15, 20, and 25.
The range for length is: 27, 22, 17, 12, and 7.
The following is the reasonable domain for the aforementioned situation:
5, 10, 15, 20, and 25
Below is a graph of the function 2 (l + w) = 64.
Therefore , As a result, 5, 10, and 15 make up the reasonable domain for the function 2 (l + w) = 64.
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6 less than The sum of x and y
Answers
Daniel’s doctor told him that 63 pounds of his total body weight is water.
If the water represents 70% of his total weight, how much does he weigh?
Answers
Answer:
50% I believe_________________
Answer:
90 Pounds
Step-by-step explanation:
Step 1: Set up a proportion of percentage to body weight
63/x = 70/100
Step 2: Simplify
63/x = 7/10
Step 3: Cross Multiply
630 = 7x
Step 4: Simplify
630/7 = 7x/7
Answer:
90 = x
Final Answer:
Daniel Weigh's 90 pounds total
Andrew constructed a triangle so that the measurement of 1 and 2 were congruent. if angle 3 measured 70 degrees, what is the measure of angle 1?
Answers
Andrew constructed a triangle such that the measurements of angles m<1 and m<2 are congruent.
The above statement can be inferred from concept of congruency of triangles. The oppsoite sides of the two congruent angles in a traingles are also equal.
From the above statement we can deduce the type of a triangle that Andrew drew as follows:
\(\text{Andrew drew a isoceles triangle}\)An isoceles triangle has two equal sides and angles i.e congruent sides and interior angles. Hence,
\(m\angle1\text{ = m}\angle2\ldots\text{ Eq1}\)The following information is given for the third interior angle m<3 of the isoceles triangle:
\(m\angle3\text{ = 70 degrees}\)We need determine the angle measure of the angle 1. Recall that the sum of interior angles of a triangle is given as follows:
\(m\angle1\text{ + m}\angle2\text{ + m}\angle3\text{ = 180 degrees }\ldots\text{ Eq2}\)Substitute Eq1 into Eq2 as follows:
\(\begin{gathered} m\angle1\text{ + m}\angle1\text{ + m}\angle3\text{ = 180} \\ \\ 2\cdot m\angle1\text{ + m}\angle3\text{ = 180} \end{gathered}\)Substitute the angle measurement of angle ( 3 ) in the expression above and solve for angle ( 1 ) as follows:
\(\begin{gathered} 2\cdot m\angle1\text{ + 70 = 180} \\ 2\cdot m\angle1\text{ = 110} \\ m\angle1\text{ = }\frac{110}{2} \\ \\ m\angle1\text{ = 55 degrees }\ldots\text{ Answer} \end{gathered}\)A machine fills boxed at a constant rate. At the end of 35 minutes, it has filled 5 boxes. Which table represents the relationship between the number of minutes the machine fills boxed and the number of boxes it has filled?
Answers
Answer:
35 divided by 5 = 7
Step-by-step explanation:
Give
the statistical measures you need to make a box plot of the coat prices 55, 75, 45, 80, 50, 70, 45, 85, 60, 70
Answers
The required box plot has been shown.
To make a box plot of the coat prices, we need the following statistical measures:
Minimum value: the smallest value in the data set. In this case, the minimum value is 45.First quartile (Q1): the median of the lower half of the data set. In other words, it is the point that divides the bottom 25% of the data from the rest. To find Q1, we need to sort the data set in ascending order and find the median of the lower half. The lower half of the data set is {45, 45, 50, 55, 60}, and the median of this set is 50. Therefore, Q1 is 50.Median (Q2): the middle value in the data set. To find the median, we need to sort the data set in ascending order and find the middle value. The sorted data set is {45, 45, 50, 55, 60, 70, 70, 75, 80, 85}, and the median is the average of the two middle values, which are 60 and 70. Therefore, Q2 is 65.Third quartile (Q3): the median of the upper half of the data set. In other words, it is the point that divides the top 25% of the data from the rest. To find Q3, we need to sort the data set in ascending order and find the median of the upper half. The upper half of the data set is {70, 70, 75, 80, 85}, and the median of this set is 75. Therefore, Q3 is 75.Maximum value: the largest value in the data set. In this case, the maximum value is 85.With these five measures, we can construct a box plot that shows the distribution of the coat prices, including the median, quartiles, and any outliers.
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NO LINKS!! Describe the set of all points P(x, y) in a coordinate plane that satisfy the given condition. Part 2
Answers
Part (d)
If xy > 0, then the two items x and y must have the same sign.
Examples where x,y are both positive
x = 2 and y = 5 leads to xy = 2*5 = 10x = 7 and y = 4 leads to xy = 7*4 = 28Examples where x,y are both negative
x = -1 and y = -9 leads to xy = -1*(-9) = 9x = -12 and y = -3 leads to xy = -12*(-3) = 36This places us in either the first quadrant or third quadrant (Q1 and Q3)
Q1 is where x > 0 and y > 0 (northeast corner)Q3 is where x < 0 and y < 0 (southwest corner)Answer: The set of all points in quadrants I and III (x and y have the same sign)======================================================
Part (e)
If y < 0, then we have points like (2,-5) and (1,-7). The x coordinate doesn't matter as long as the y coordinate is negative.
Visually speaking we are below the x axis. This places the point in Q3, Q4, or on the negative y axis. The point cannot be on the x axis. You can think of this point as being underground or underwater.
Answer: The set of all points below the x axis======================================================
Part (f)
If x = 0, then the point is on the vertical y axis. Recall that y intercepts always occur when x = 0. Two examples would be (0,4) and (0,12).
Answer: The set of all points on the y axis.Answer:
(d) The set of all points in quadrants I and III (x and y have the same sign).
(e) The set of all points below the x-axis.
(f) The set of all points on the y-axis.
Step-by-step explanation:
The Cartesian plane is divided into four quadrants.
Quadrant I is the upper right quadrant and the rest follow in a counterclockwise direction.
Quadrant I: x > 0 and y > 0 → (x, y)Quadrant II: x < 0 and y > 0 → (-x, y)Quadrant III: x < 0 and y < 0 → (-x, -y)Quadrant IV: x > 0 and y < 0 → (x, -y)Part (d)
For xy > 0, x and y should either both be positive or both be negative, i.e. have the same sign.
x and y are both positive in quadrant I.x and y are both negative in quadrant III.Therefore, the description that satisfies the given condition is:
The set of all points in quadrants I and III (x and y have the same sign).Part (e)
For y < 0, y is always negative.
y is negative in quadrant III.y is negative in quadrant IV.Quadrants III and IV are below the x-axis.
Therefore, the description that satisfies the given condition is:
The set of all points below the x-axis.Part (f)
The only place where x = 0 is the y-axis.
Therefore, the description that satisfies the given condition is:
The set of all points on the y-axis.
The slope is 60. It represents the rate at which the amount of water changes each hour.
True
False
Answers
Answer:
True
Step-by-step explanation:
Slope:
The slope of an equation represents how the y value changes as the x values changes, defined as: \(\frac{\text{change in y}}{\text{change in x}}\), so the slope of 60 can be represented as: \(\frac{60}{1}\), which tells us the amount of water (y-axis) increases by 60 units each hour (x-axis), or in other words, the rate at which the amount of water changes each hour.
Which number is NOT a common
of the fractions being
denominator
added?
2/9 + 5/12
A 108
(B) 72
(C) 36
(D) 24
Answers
Check the picture below.
now, doing a prime factoring on both the denominators, notice, the repeated factors get used only once in the LCD calculation, so the red "3" only goes once in the LCD and then the others, so the LCD for both of those is 3*3*2*2 = 36.
"L" in LCD stands for Least, so that's the smallest, however we can have a CD that's no small and is simply a multiple of the LCD, let's check who isn't an LCD or CD
\(\begin{array}{rllll} 108=3\cdot 36 & \bigotimes\\\\ 72=2\cdot 36& \bigotimes\\\\ 36=1\cdot 36&\bigotimes\\\\ 24&\textit{\LARGE \checkmark} \end{array}\)
Help me solve these two problems! Show the work
Answers
Answer:
see explanation
Step-by-step explanation:
2
4x² + 64 ← factor out the common factor of 4 from each term
= 4(x² + 16)
3
(a - 10)² = 121 ( take square root of both sides )
a - 10 = ± \(\sqrt{121}\) = ± 11 ( add 10 to both sides )
a = 10 ± 11
then
a = 10 - 11 = - 1
a = 10 + 11 = 21
A physics student loves affogato and wants to know the proportion of his fellow students who say it’s their favorite dessert. He randomly samples 145 students at his university, and 43 of them say affogato is also their favorite dessert. Calculate the upper bound for a 95% confidence interval for the true proportion of students at this university whose favorite dessert is affogato.
Answers
Answer:
The upper bound for a 95% confidence interval for the true proportion of students at this university whose favorite dessert is affogato is 38%.
Step-by-step explanation:
The (1 - α) % confidence interval for population proportion is:
\(CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}\)
Compute the sample proportion as follows:
\(\hat p=\frac{43}{145}=0.2966\approx 0.30\)
The critical value of z for 95% confidence level is:
\(z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96\)
Calculate the upper bound for a 95% confidence interval for the true proportion of students at this university whose favorite dessert is affogato as follows:
\(UL=\hat p+ z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}\)
\(=0.30+1.96\times\sqrt{\frac{0.30(1-0.30)}{145}}\\\\=0.30+0.075\\\\=0.375\\\\\approx 0.38\)
Thus, the upper bound for a 95% confidence interval for the true proportion of students at this university whose favorite dessert is affogato is 38%.
In AOPQ, OQ is extended through point Q to point R,
m/PQR = (7x - 19)°, m/OPQ = (2x - 3)°, and
m/QOP = (x+16)°. Find m/PQR.
Answers
Answer:
m<PQR = 37°
Step-by-step explanation:
7x - 19 = x + 16 + 2x -3 Combine like terms
7x -19 = 3x +13 Subtract 3x from both sides
4x -19 = 13 Add 19 to both sides
4x = 32 Divide both sides by 4
x = 8
m<PQR = 7x - 19 Substitute in 8 for x
7(8) - 19
56 - 19 = 37
Answer:
∠PQR = 37°
Step-by-step explanation:
In this problem, ∠PQR is the exterior angle of ΔOPQ.
⭐What is an exterior angle of a triangle?
the angle outside of the triangleWe are given the expressions for ∠OPQ and ∠QOP, which are opposite of the external angle.
Therefore, we can follow these steps to find ∠PQR:
1. Utilize the exterior angle theorem to solve for x
2. Substitute x into the expression for ∠PQR to solve for ∠PQR
⭐What is the exterior angle theorem?
the exterior angle of a triangle is equal to the sum of the interior angles opposite of said exterior angle1. Utilize the exterior angle theorem to solve for x
∠PQR = ∠OPQ + ∠QPO
(7x-19) = (2x-3) + (x+16) . . . . . substitute the given expressions
7x - 19 = 3x + 13 . . . . . . . . . . . add like terms (terms with the same variable and exponent)
4x = 32 . . . . . . . . . . . . . . . . . . subtract 3x from the LHS and RHS and add 19 on the LHS and RHS
∴ x = 8 . . . . . . . . . . . . . . . . . . . . divide the LHS and RHS by 4 to isolate x
2. Substitute x into the expression for ∠PQR to solve for ∠PQR
∠PQR = 7x-19
∠PQR = 7(8) - 19
∠PQR = 56 - 19
∴ ∠PQR = 37°
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Today only a table is being sold at a 15% discount. The sale price is $629
Answers
Answer:
740
Step-by-step explanation:
Answer:
The answer is $566.73.
Step-by-step explanation:
The way that you find the answer is dividing .15 to the price
Which expression is equivalent to -3(2m-1)-n? A.6m-n-3 B.6m-n+3 C.-6m-n-3 D.-6m-n+3
Answers
Answer:
Dear user,
Answer to your query is provided below
Option A is correct
Step-by-step explanation:
3(2m-1)-n
6m-3-n
Write a system of equations to describe the
situation below, solve using any method, and
fill in the blanks.
Jessica is making greeting cards, which she
will sell by the box at an arts fair. She paid
$42 for a booth at the fair, and the materials
for each box of cards cost $6. She will sell
the cards for $12 per box of cards. At some
point, she will sell enough cards so that her
sales cover her expenditures. How many
cards will that take? How much will the sales
and expenditures be?
If Jessica sells
boxes of cards of
cards, she will break even, with sales and
expenditures of $
Answers
Answer:
Step-by-step explanation:
To solve the problem, we can set up a system of equations to represent Jessica's sales and expenditures. Let x be the number of boxes of cards she sells.
Then, the total cost of her materials will be 6x dollars, and her total revenue from sales will be 12x dollars. Her expenditures will include the cost of materials and the booth fee, which is 42 dollars. Therefore, we can write the following system of equations:
6x + 42 = 12x
Simplifying and solving for x, we get:
6x = 42
x = 7
Therefore, Jessica will need to sell 7 boxes of cards in order to break even. The sales from these 7 boxes will be:
7 boxes * 12 dollars/box = 84 dollars
The expenditures will include the cost of materials and the booth fee, which is:
6 dollars/box * 7 boxes + 42 dollars = 84 dollars
So, the sales and expenditures will both be 84 dollars if Jessica sells 7 boxes of cards.
A number d is greater than −5.
Answers
Answer: d > -5
Step-by-step explanation: Just convert the greater than into a symbol, and you'll be good to go.
Hope this helps!
A caterer prepares twice as many pizzas as she usually prepares for a large party. The caterer usually prepares 5 pizzas. The caterer also estimates that each party guest will eat
1
2
of a pizza.
Drag and drop each expression into the correct boxes to complete the explanation.
The expression that represents how many guests the pizzas can serve is .
How many party guests will the pizzas serve? Drag and drop the number of guests into the box.
The pizzas can serve guests.
Answers
convert 42 degrees F to Celsius
Answers
5.56 Celsius
Explanation
To convert temperatures in degrees Fahrenheit to Celsius, subtract 32 and multiply by 0.55556 (or 5/9)
then
Step 1
subtract 32
\(\begin{gathered} \text{temp}_{deg}=42 \\ \text{temp}_{C1}=42-32 \\ \text{temp}_{C1}=10 \end{gathered}\)Step 2
multiply by 5/9
\(\begin{gathered} \text{temp}_C=temp_{c1}\cdot\frac{5}{9} \\ \text{temp}_C=10\cdot\frac{5}{9} \\ \text{temp}_C=\frac{50}{9}=5.56 \end{gathered}\)I hope this helps you
three subtracted from five times a number is -39. what number is?
A) Translate the statement above into an equation that you can solve to answer this question, Do not solve it yet. Use x as your variable.
The equation is _____
B) Solve your equation in part {A} for x
.Answer x=
Answers
Answer:
A) 5x - 3= -39
B) 5x = -39 + 3
5x = -36
x = -36/ 5
x= -7.2
Complete the equation describing how x and y are related
Answers
The ? is the slope, which represents the rate of change between the y-values and x values. If you take notice of your table, the y-values increases by 2, and the x values increases by 1.
Therefore, as y increases by 2 units, the x increases by 1 = 2/1 = 2.
The slope is the same as rise over run:
Rise = increase in y values
Run = increase in x values.
For the other missing box, that represents the y-intercept, which is the value of y when x = 0. If you look at your table, the first row shows that x = 0 and y = 7. Therefore, the y-intercept is 7.
The complete equation is y = 2x + 7, which is the linear equation in slope-intercept form, y = mx + b.
Larry made 3 batches of punch. Each batch uses 24 fluid ounces of lemon juice and 5 pints of orange juice.
If each serving is 1 cup, how many servings did he make all together?
Answers
Larry made 39 servings of punch all together.
What is Total cost?
Average total cost is referred to as the sum total of all production costs divided by the total quantity of output.
Let's first convert the orange juice measurement to fluid ounces, as it's easier to work with a single unit:
1 pint = 16 fluid ounces
Therefore, 5 pints of orange juice = 5 x 16 = 80 fluid ounces of orange juice per batch.
To find the total amount of punch Larry made, we need to multiply the amount of each ingredient by the number of batches:
Lemon juice: 3 x 24 = 72 fluid ounces
Orange juice: 3 x 80 = 240 fluid ounces
Adding the two amounts together, we get a total of 312 fluid ounces of punch.
Since each serving is 1 cup (8 fluid ounces), we can find the number of servings by dividing the total amount of punch by 8:
312 / 8 = 39
Therefore, Larry made 39 servings of punch all together.
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what is the following sum
Answers
Answer: D
Step-by-step explanation:
the answer is option D
Please help quickly!!
Answers
The values of a, b and c from the given exponential function are 7, 9 and 4 respectively
Laws of indicesAccording to the exponential law of indices
\(\sqrt[c]{a^b}\)
This can be written as;
\(\sqrt[c]{a^b}=a^{\frac{b}{c} }\)
Given the exponential expression
\(7^\frac{9}{4}\)
Compare with the original expression
a = 7, b = 9 and c = 4
Hence the values of a, b and c from the given exponential function are 7, 9 and 4 respectively
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In a data distribution that is skewed left.
Answers
The median will be greater than the mean in a left-skewed distribution
We have,
In statistics, skewness is a measure of the asymmetry of a probability distribution around its mean.
A distribution is said to be skewed left if it has a long tail on the left side and the bulk of the data is on the right side.
When the data is skewed left, it means that the distribution is being pulled towards the left side.
This is because there are a few extreme values on the left side that are pulling the mean in that direction.
In contrast, the median is the middle value of the dataset, and it is not influenced by outliers.
For a left-skewed distribution,
The median will be greater than the mean because the mean is being pulled towards the left by the few extreme values.
In a data distribution that is skewed left, the mean will be less than the median.
This is because the mean is sensitive to outliers and is pulled towards the direction of the skewness, while the median is not affected by extreme values and is a more robust measure of central tendency.
Therefore,
The median will be greater than the mean in a left-skewed distribution
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