This table shows the ratio of apples to oranges. A 2-column table has 3 rows. Column 1 is labeled Apples with entries 6, 9, 12. Column 2 is labeled Oranges with entries 10, 15, question mark. Find the missing value in the table of equivalent ratios.
Answers
Given:
This table shows the ratio of apples to oranges.
Apples Oranges
6 10
9 15
12 ?
To find:
The missing value in the table of equivalent ratios.
Solution:
Let the missing value be x.
The ratios of apple and oranges are equivalent. So,
\(\dfrac{6}{10}=\dfrac{9}{15}=\dfrac{12}{x}\)
\(\dfrac{3}{5}=\dfrac{3}{5}=\dfrac{12}{x}\)
\(\dfrac{3}{5}=\dfrac{12}{x}\)
On cross multiplication, we get
\(3\times x=12\times 5\)
\(3x=60\)
Divide both sides by 3.
\(x=20\)
Therefore, the missing value is 20.
Answer:
20
Step-by-step explanation:
hope it helps
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The piping connection to the vacuum pump should be
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Answer: Micron gauges (electronic vacuum gauges) should be connected directly to the system – not at the pump – to check the vacuum at the system
Step-by-step explanation:
Answer i am smart
Step-by-step explanation:
I need more help (: sorry
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Answer:
Converse: If I passed, then I studied.
Inverse: If I don't study, then I will not pass
Contrapositive: If I didn't pass, then I didn't study.
Step-by-step explanation:
please help !!!
im CONFUSED OwO
Answers
Answer:
12,0 is the y intercept
-4,0 is the x intercept
Step-by-step explanation:
Answer:
The y-intercept is 12, which means it goes through the y-axis at (0, 12)
Step-by-step explanation:
Points A, B, and C are collinear. Point B is
between A and C. Find the length indicated. AB=
1) Find AB if AC = 12 and BC = 3.
Answers
Answer:
9
Step-by-step explanation:
\(AB+BC=AC \\ \\ 3+AB=12 \\ \\ AB=9\)
What is the volume of this sphere? help plz.
Answers
Answer:
3821057.63 m³
Step-by-step explanation:
volume of sphere : V=(4/3)πr³
here given r is 97 and π is 3.14
volume = (4/3) * 3.14 * 97³
= 3821057.63 m³
Answer:
3821057.63 m³Step-by-step explanation:
We know that:
Volume of Sphere = (4/3πr³)π = 3.14Work:
Volume of Sphere = 4/3πr³=> Volume of Sphere = 4/3 x π x r³=> Volume of Sphere = 4/3 x π x r x r x r=> 4/3 x π x r x r x r=> 4/3 x 3.14 x 97 x 97 x 97=> 3821057.626=> 3821057.63 m³Hence, the volume of sphere is 3821057.63 m³.
M is between points C and Q. CM=17 and CQ=21. What is MQ? Enter your answer in the box. MQ=
Answers
Answer:
4 units
Step-by-step explanation:
Since, M is between points C and Q, i. e. C - M - Q.
Therefore, CM + MQ = CQ
Therefore, 17 + MQ = 21
MQ = 21 - 17
MQ = 4
Answer:
M is between points C and Q. CM=17 and CQ=21.
What is MQ?
MQ= is 4, the same as on k12
Step-by-step explanation:
Given this equation...
4x - 1 6
--------- = -----
3x + 7 5
What is the value of x in this
proportion?
Answers
Answer:
x=91
Step-by-step explanation:
Follow the steps in the image.
add 16 to both sides
subtract 3 from both sides
divide by 1x
Plug answer back into equation
-Hope this helped
Find the missing term of the following sequence.
. . .-34,____, 77, . .
Answers
Answer:
21.5
Step-by-step explanation:
Just find the find the difference between 34 and 77 (even though 34 is a negative) then half the answer.
In professor Hoepker's class, there are X tests and a final. At the end of the semester, the lowest Y test scores are dropped and the remaining test scores and the final (which has twice the weight of a test) are averaged to compute the average score for the entire class. The final cannot be dropped. Going into the final, student Kaytee has an average of W on the X tests. The sum of her lowest Y test scores is L. Her final exam score is S. Find her average score G in the class in terms of X, Y, W, L, and S.
Answers
Step-by-step explanation:
Kaytee's total points are WX + 2S − L. The total number of exams is W − Y + 2. Therefore:
G = (WX + 2S − L) / (X − Y + 2)
The total number of exams is W − Y + 2.
We have given that,
In professor Hoepker's class, there are X tests and a final. At the end of the semester, the lowest Y test scores are dropped and the remaining test scores and the final (which has twice the weight of a test) are averaged to compute the average score for the entire class. The final cannot be dropped.
Going into the final, student Kaytee has an average of W on the X tests. The sum of her lowest Y test scores is L. Her final exam score is S.
What is the sum?The sum brings two or more numbers together to make a new total.
We have to determine her average score of G in the class in terms of X, Y, W, L, and S.
Kaytee's total points are WX + 2S − L.
The total number of exams is W − Y + 2.
Therefore:G = (WX + 2S − L) / (X − Y + 2)
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Arătati ca numărul ab1 + a1b + 1ab
Answers
Answer:
a plus b equals 9923
Step-by-step explanation:
A saleswoman earns 7% commission on all the merchandise that she sells. Last month she sold $8,000 worth of merchandise. How much commission (in dollars) did she earn last month?
Answers
Answer:
560
Step-by-step explanation:
8000x.07
Help would be appreciated
Answers
(50 POINTS AND BRAINLYEST)
Recall that the side length of the square was 14 units long. What is the base area of the prism?
Answers
Answer:
196 unit squareStep-by-step Explaination:
Area of base section of prism = area of square
Area of square = a²
side = 14 unit
=> (14)²
=> 196 unit square
hope it helps<3evaluate 5w - w/x when w = 6 and x = 2.
Answers
To solve the exercise you can replace w = 6 and x = 2 in the given expression and then operate:
\(\begin{gathered} 5w-\frac{w}{x} \\ w=6 \\ x=2 \\ \text{ Replacing} \\ 5(6)-\frac{6}{2}=30-3=27 \end{gathered}\)Therefore, the value of the given expression is 27, if w = 6 and x = 2.
Choose all equations for which x=2 is a solution.
A:x+3=5
B:x+2=8
C:x+1=1
D:x-2=4
Ex-7=5-
Answers
Members of a lacrosse team raised $2412.50 to go to a tournament. They rented a bus for $1072.50 and budgeted $67 per player for meals. Determine the number of players the team can bring to the tournament.
Answers
The number of players the team can bring to the tournament is 20.
What is a linear equation?
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0.
In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C.
Here, we have
Given: Members of a lacrosse team raised $2412.50 to go to a tournament. They rented a bus for $1072.50 and budgeted $67 per player for meals.
we have to determine the number of players the team can bring to the tournament.
So to make an equation, the bus charge would be the y-intercept (If no member went, they still paid for the bus fee) and the meals would be the slope (since it is dependent on how many members ride the bus.)
The total would add up to be 2412.50, so the equation would be:
2412.50 = 67x+1072.50
where x = the number of players the team can bring to the tournament without going outside of their budget.
After solving this, we get
2412.50 = 67x+1072.50
2412.50 - 1072.50 = 67x
1340 = 67x
x = 20
Hence, the number of players the team can bring to the tournament is 20.
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you pick random 6,7,8,9 what is P(9)
Answers
Step-by-step explanation:
There are a total of 4 numbers to pick.
P(9) means is the probability of you picking the number 9.
Since you are only picking one number, the probability will be 1/4 or 0.25
cross product of 3/15 = 7/X
Answers
Answer:
X = 35
Step-by-step explanation:
(3/15) = (7/X)
3X = 15 * 7
3X = 105
X = 105/3
X = 35
Answer:
x=35
Step-by-step explanation:
So, cross multiply. 3/15=7/x
15*7=105
105/3= 35
x=35
Dwayne has collected data on the number of occupants of cars travelling on the road past his house for the past week. Based on his data, he has constructed a probability model for the number occupants of a randomly-selected car on his street. Which of the following could be his model?
Answers
The option that can be the model when Dwayne has collected data on the number of occupants of cars travelling on the road is Table B.
How to calculate the probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true
Given the information, the probability for a will be illustrated as:
a. = 0.6 + 0.2 + 0.2 + 0.1 + 0.05 = 1.15 > 1
b. = 0.5 + 0.25 + 0.05 + 0.06 + 0.04 = 1
c. 2 + 1 + 0.1 + 0.1 + 0.4 = 3.6 > 1
d. 0.5 + 0.25 + 0.25 + 0.125 + 0.125 = 1.25 > 1
e. 0.5 + 0.2 + 0.1 + 0.05 + 0.05 = 0.9 < 1
The correct option that illustrates this is Table B.
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Please help and show workkkkk please I really need help
Answers
Answer:
L = 9
Step-by-step explanation:
6x8=48
432÷48=9
Please help, this chapter was on derivatives...
Answers
================================================
Work Shown:
Before we can use derivatives, we need to find the value of s when (x,y) = (15,20)
s^2 = x^2+y^2
s^2 = 15^2+20^2
s^2 = 225+400
s^2 = 625
s = sqrt(625)
s = 25
-----------
Now we can apply the derivative to both sides to get the following. Don't forget to use the chain rule.
s^2 = x^2 + y^2
d/dt[s^2] = d/dt[x^2 + y^2]
d/dt[s^2] = d/dt[x^2] + d/dt[y^2]
2s*ds/dt = 2x*dx/dt + 2y*dy/dt
2(25)*ds/dt = 2(15)*5 + 2(20)*(10)
50*ds/dt = 150 + 400
50*ds/dt = 550
ds/dt = 550/50
ds/dt = 11
-----------
Side note: The information t = 40 is never used. It's just extra info.
Let A = {1, 2, 3} and R be the following relation on A;
R = {(1, 1), (1, 2), (1, 3), (3, 1), (2, 3)}
Answers
Answer:
The relation is reflexive as
(1,1),(2,2),(3,3)∈R
(2,1)∈R will not imply (1,2)∈R,
hence R is not symmetric
(2,1),(1,3)∈R doesn't imply (2,3)∈R, hence R is not transitive
Step-by-step explanation:
hope this helps if not let me know have a blessed day
A plant is already 13 centimeters tall, and it will grow one centimeter every month.
Let H be the plant's height (in centimeters) after M months.
Write an equation relating H to M. Then graph your equation using the axes below.
Answers
Answer:
H = M + 13
Step-by-step explanation:
Each month will add 1 cm to the height which is 13
Which of these is another way to write the function f(x) = 5*
Answers
Answer:
May you kindly provide us with a selection of choices? Thank you ! :)
Step-by-step explanation:
find the area of the circle which is circumscribed about the right triangle with legs 6 and 8
Answers
The area of the circle circumscribed about the right triangle with legs 6 and 8 is approximately 78.54 square units.
To find the area of the circle circumscribed about a right triangle, we can use the fact that the diameter of the circle is equal to the hypotenuse of the right triangle. In this case, the legs of the right triangle are given as 6 and 8.
Using the Pythagorean theorem, we can find the length of the hypotenuse:
\(c^2 = a^2 + b^2\)
where c is the length of the hypotenuse, and a and b are the lengths of the legs.
Substituting the values:
\(c^2 = 6^2 + 8^2\)
\(c^2 = 36 + 64\\ c^2 = 100\)
Taking the square root of both sides:
\(c = \sqrt{100} \\ c = 10\)
Therefore, the length of the hypotenuse is 10 units.
Since the diameter of the circumscribed circle is equal to the hypotenuse, the radius of the circle is half the length of the hypotenuse, which is 10/2 = 5 units.
Now we can calculate the area of the circle using the formula:
Area = π \(r^2\)
where r is the radius of the circle.
Area = π \(5^2\)
Area = π × 25
Area = 78.54 square units
Hence, the area of the circle circumscribed about the right triangle with legs 6 and 8 is approximately 78.54 square units.
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What is the perimeter of a rectangle with workings
Answers
Answer:
See below
Step-by-step explanation:
The perimeter of a rectangle is \(P=2L+2W\) where L is the length and W is the width.
Monaco has an area of 499 acres and a population of 39,000 people. Vatican City has a population of 1,000
people and an area of 0.44 square kilometers. Which city has the highest population density?
a. What is the population density of Monaco? Round to a whole number.
(1)
b. What is the population density of Vatican City? Round to a whole number. (Hint: To compare the population
density of Vatican City with Monaco, they need to be measured in the same units!)
(1)
c. Which location has the highest population density?
(0.5)
Answers
a. The population density of Monaco is 19,307 people per square kilometer.
b. The population density of Vatican City is 37 people per square kilometer.
c. The Vatican City has the highest population density
What is population density?
Population density is measured by dividing the total area of a region in question by the total number of people that live there.
a. To find the population density of Monaco, we need to divide the population by the area, and then convert acres to square kilometers (since Vatican City's area is given in square kilometers).
499 acres x 0.00404686 square kilometers/acre = 2.02 square kilometers
The population density of Monaco is therefore:
39,000 people / 2.02 square kilometers = 19,307 people per square kilometer.
Rounded to the nearest whole number, the population density of Monaco is 19,307 people per square kilometer.
b. To find the population density of Vatican City, we first need to convert its area to acres:
0.44 square kilometers x 247.105 acres/square kilometer = 108.7 acres
The population density of Vatican City is then:
1,000 people / 108.7 acres = 9.2 people per acre
To compare with Monaco's population density, we need to convert this to people per square kilometer:
9.2 people per acre x 0.00404686 square kilometers/acre = 37.3 people per square kilometer
Rounded to the nearest whole number, the population density of Vatican City is 37 people per square kilometer.
c. Therefore, Vatican City has the highest population density, with a density of 37 people per square kilometer compared to Monaco's density of 19,307 people per square kilometer.
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What is the 15% of 20
Answers
Answer:
Step-by-step explanation:
15% of 20 is 3
What are the new coordinates if the figure were rotated 90 degrees counterclockwise
Answers
Answer:
third option
Step-by-step explanation:
under a counterclockwise rotation of 90° about the origin
a point (x, y ) → (y, - x )
Then
A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )
B (2, - 2 ) → (- 2, - 2 )
C (1, - 4 ) → (- 4, - 1 )
The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)
How to determine the new coordinates rotating by 90 degrees counterclockwiseFrom the question, we have the following parameters that can be used in our computation:
The figure,
Where, we have
A = (-1, -2)
B = (2, -2)
C = (1, -4)
The rule of 90 degrees counterclockwise is
(x, y) = (-y, x)
Using the above as a guide, we have the following:
A = (2, -1)
B = (2, 2)
C = (4, 1)
Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)
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Diondra wants to know the most popular movie of this year but is unsure of the best way to determine this answer. Which of the following questions would Diondra ask that does NOT allow for variability?
Which movie did her best friend like the most?
How many awards did each movie win?
What is the total dollar amount that each movie made from ticket sales?
How many weeks did each movie play in the theater?
Answers
The question that Diondra would ask that does not allow for variability is A. Which movie did her best friend like the most?
How does this question not show variability ?The other three questions ("How many awards did each movie win?", "What is the total dollar amount that each movie made from ticket sales?", and "How many weeks did each movie play in the theater?") all offer metrics by which a movie's popularity could be measured, and those measurements could vary from movie to movie.
However, the question about her best friend's favorite movie depends solely on the opinion of one individual, not a variable measure, and therefore doesn't allow for variability.
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