there are only blue counters, red counters and yellow counters in a bag. There are twice as many blue counters as yellow counters. There are three times as many red counters as yellow counters. Write down the ratio of blue counters to red counters to yellow counters.
Answers
The ratio of blue counters to red counters to yellow counters will be given as 3: 2: 6.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
There are only blue (B) counters, red (R) counters, and yellow (Y) counters in the bag.
There are twice as many blue counters as yellow counters.
There are three times as many red counters as yellow counters.
Then the relationship will be
Y = 2B ..1
Y = 3R ..2
From equations 1 and 2, we have
2B = Y = 3R
B/3 = Y/6 = R/2
Then the ratio of blue counters to red counters to yellow counters will be
B:R:Y::3:2:6
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Related Questions
what is the slope of the line?
Answers
Answer:
the slope is 3/2
Describe the shape of the distribution.
A. It is symmetric.
B. It is uniform.
C. It is bimodal.
D. It is skewed.
Answers
If Rachel can read 10 pages in 12 minutes how long does it take her to read 8 pages
Answers
Answer:
9.6
Step-by-step explanation:
Step 1:
Find the rate of proportion
We can do 12/10 to find how many minutes it takes her to read 1 page, or 1.2.
Step 2:
Multiply 1.2 by 8 to get 9.6
ALTERNATIVE METHOD:
Divide 10 by 8 to get 1.25. Then divide 12 by 1.25 to get 9.6
f(x)=-x^{2}+2x+6
f(x)=−x
2
+2x+6
\text{Find }f(-7)
Find f(−7)
Answers
The value of f(-7) is -29.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
f(x)=-x² + 2x + 6
So, to find f(-7) put x= -7
f(-7) = -(7)² + 2(7) + 6
f(-7) = -49 + 14 + 6
f(-7) = -29
Hence, the value of f(-7) is -29.
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Wiseman Video plans to make four annual deposits of $2,000 each to a special building fund. The fund’s assets will be invested in mortgage instruments expected to pay interest at 12% on the fund’s balance. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)
Using the appropriate annuity table, determine how much will be accumulated in the fund on December 31, 2019, under each of the following situations.
1. The first deposit is made on December 31, 2016, and interest is compounded annually.
Table or calculator function: FVA of $1
Payment: $2,000
n = 4
i = 12%
Fund balance 12/31/2019: $9,559
2. The first deposit is made on December 31, 2015, and interest is compounded annually.
Table or calculator function: FVAD of $1
Payment: $2,000
n = 4
i = 12%
Fund balance 12/31/2019: $10,706
3. The first deposit is made on December 31, 2015, and interest is compounded quarterly.
Using the FV of $1 chart, calculate the fund balance:
Deposit Date i = n = Deposit Fund Balance 12/31/2019
12/31/2015 3% 16 $2,000 $3,209
12/31/2016 3% 12 2,000 2,852
12/31/2017 3% 8 2,000 2,534
12/31/2018 3% 4 2,000 2,251
$10,846
4. The first deposit is made on December 31, 2015, interest is compounded annually, and interest earned is withdrawn at the end of each year.
Deposit Amount No. of Payments Interest left in Fund Fund Balance 12/31/2019
$2,000 $8,000
Answers
The fund balance at the end of 2019 will be $8,000.
The given problem has four different parts, where we are supposed to calculate the accumulation of funds at the end of 2019 in different scenarios.
Scenario 1In the first scenario, the first deposit is made on December 31, 2016, and interest is compounded annually.
Using the FVA of $1 table; Payment: $2,000n = 4i = 12%
Fund balance 12/31/2019: $9,559
Hence, the fund balance at the end of 2019 will be $9,559.Scenario 2In the second scenario, the first deposit is made on December 31, 2015, and interest is compounded annually.
Using the FVAD of $1 table;Payment: $2,000n = 4i = 12%
Fund balance 12/31/2019: $10,706 Therefore, the fund balance at the end of 2019 will be $10,706.Scenario 3In the third scenario, the first deposit is made on December 31, 2015, and interest is compounded quarterly. Using the FV of the $1 chart, we get the following calculation:
Deposit Date i = n = Deposit Fund Balance 12/31/2015 3% 16 $2,000 $3,20912/31/2016 3% 12 $2,000 $2,85212/31/2017 3% 8 $2,000 $2,53412/31/2018 3% 4 $2,000 $2,251
The interest rate is 3%, and the payment is $2,000. Hence, the fund balance at the end of 2019 will be $10,846.Scenario 4In the fourth scenario, the first deposit is made on December 31, 2015, interest is compounded annually, and interest earned is withdrawn at the end of each year.
Deposit Amount No. of Payments Interest left in Fund Fund Balance 12/31/2019$2,000 $8,000 Hence, the fund balance at the end of 2019 will be $8,000.
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In the equation x - 9y = 21, which variable should you isolate?
Answers
this is a slope intercept form equation
if you were to solve it, you’d get y = 1/9x - 7/3
We will isolate the variable y to make the equation in the slope-intercept form.
And the equation is y = x/9 - 7/3.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
A linear equation,
x - 9y = 21.
We will isolate the variable y to make the equation in the slope-intercept form.
9y = x - 21
y = x/9 - 7/3
Therefore, we will isolate the variable y.
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you are skiing down a mountain with a vertical height of 1290 feet. the distance from the top of the mountain to the base of the mountain is 2580 feet. what is the angle of elevation from the base to the top of the mountain?express your answer as a whole angle.
Answers
30° is the angle of elevation from the base to the top of the mountain.
Trigonometric ratios are the ratios of the length of sides of a triangle.
These ratios in trigonometry state the relation between the ratio of sides of a right triangle to the respective angle.
The basic trigonometric ratios are sin, cos, and tan, namely sine, cosine, and tangent ratios.
The other important trig ratios, cosec, sec, and cot, can be derived using the sin, cos, and tan respectively.
Sin θ = Perpendicular / Hypotenuse
According to the question,
Perpendicular = Vertical height of Mountain. = 1290 m
Hypotenuse = The distance from the top of the mountain to the base of the Mountain. = 2580 m
⇒ Sin θ = 1290/ 2580
⇒ Sin θ = 1/2⇒ θ = Sin⁻¹(1/2)
⇒ θ = 30°
Hence, 30° is the angle of elevation from the base to the top of the mountain.
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1(a):Proofs by contradiction.
For all integers x and y, x2−4y≠2.
You can use the following fact in your proof: If n2 is an even integer, then n is also an even integer.
1(b): Computing exponents mod m.
Compute each quantity below using the methods outlined in this section. Show your steps, and remember that you should not use a calculator.
(a) 46^10 mod 7
(b) 34^5 mod 9
Answers
In modular arithmetic, we compute exponents by taking remainders. For (a) 46^10 mod 7 = 2, and for (b) 34^5 mod 9 = 8.
(a) To compute 46^10 mod 7, we can use the property of modular exponentiation which states that for any integers a, b, and m:
(a^b) mod m = ((a mod m)^b) mod m
Let's apply this property:
1: Find the remainder of 46 divided by 7.
46 mod 7 = 4
2: Compute 4^10 mod 7.
4^10 = 1048576
3: Find the remainder of 1048576 divided by 7.
1048576 mod 7 = 2
Therefore, 46^10 mod 7 = 2.
To compute 34^5 mod 9, we'll follow the same approach as before:
1: Find the remainder of 34 divided by 9.
34 mod 9 = 7
2: Compute 7^5 mod 9.
7^5 = 16807
3: Find the remainder of 16807 divided by 9.
16807 mod 9 = 8
Hence, 34^5 mod 9 = 8.
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Find the area of the figure.
Answers
Answer:
25Step-by-step explanation:
\(A=6\cdot7-\frac12\cdot4\cdot4-2\cdot(\frac12\cdot3\cdot3)=42-8-9=25\)
A fireman's ladder, 100 feet long, reaches a point on a building that is 80 feet above the ground. If the ground is horizontal, how many feet from the base of the building is the base of the ladder?
Answers
Answer:
twenty 20.............
“A Wok in the Park” charges a $100 set-up fee plus $12.50 per person. “Chop Chop Catering” charges $15 dollars per person.
Write a equation in the form y=mx+b for both companies
Answers
Answer:
y = $100 + $1.50x
y = $15x
Step-by-step explanation:
Given that :
A Wok in the Park charges :
Setup fee =$100 ; per person = $12.50
Chop Chop Catering charges :
$15 per person
Writing equation for the amount charged by the 2 services in the form :
y = mx + c ;
A Wok in the Park ;
Setup fee =$100 = c = intercept ; per person = $12.50 = slope = m
y = $100 + $1.50x
Where x = number of persons. ; y = amount charged
Chop Chop Catering charges :
$15 per person
y = 0 + $15x
y = $15x
x = number of persons. ; y = amount charged ; intercept (c) = $0
For every 7 push-ups Dulce can do, Sara can do 6. If Ducle did 28 push-ups during gym class, how many push-ups did sara do?
Answers
The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.
How to solve ratio?Number of push ups Dulce can do : number of push ups Sara can do
Let
number of push ups Sara does = x
7 : 6 = 28 : x
7/6 = 28/x
cross product
7 × x = 28 × 6
7x = 168
divide both sides by 7
x = 168/7
x = 24
Therefore, Sara does 24 push ups during the gym class.
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y+y+6=10
i need the whole method
Answers
y+y+6=10
2y+6=10
2y=10-6
2y=4
y=2
#\(RosalindCordeliaIsHereToHelp\)
Answer: y=2
Step-by-step explanation: y+y+6=10
2y+6−6=10−6
2y/2=4/2 y=2
A culture of the bacterium Salmonella enteritidis initially contains 50 cells. When introduced into a nutrient broth, the culture grows at a rate proportional to its size. After 1.5 hours, the population has increased to 825. (a) Find an expression for the number of bacteria after t hours. (Round your numeric values to four decimal places.)
Answers
The expression for the number of bacteria after t hours is N(t) = 50e\(^(0.4427t)\) , rounded to four decimal places.
Let N(t) be the number of bacteria after t hours.
Since the culture grows at a rate proportional to its size, we can write:
dN/dt = kN
where k is the proportionality constant.
This is a separable differential equation, which we can solve by separating the variables and integrating:
dN/N = k dt
ln(N) = kt + C
where C is the constant of integration.
To find the value of C, we use the initial condition that the culture initially contains 50 cells:
ln(50) = k(0) + C
C = ln(50)
Substituting C into the previous equation, we get:
ln(N) = kt + ln(50)
Taking the exponential of both sides, we obtain:
N = e\(^(kt + ln(50)) = 50e^(kt)\)
Now we need to find the value of k. We know that after 1.5 hours, the population has increased to 825:
N(1.5) = 825
Substituting this into the previous equation, we get:
825 = 50\(e^(1.5k)\)
Taking the natural logarithm of both sides, we obtain:
ln(825/50) = 1.5k
k = ln(825/50) / 1.5
k ≈ 0.4427
Finally, substituting this value of k into the expression we obtained for N(t), we get:
N(t) = 50e\(^(0.4427t)\)
Therefore, the expression for the number of bacteria after t hours is N(t) = \(50e^(0.4427t)\), rounded to four decimal places.
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for what values of x is the inequality -5x - 3 + 2x > -18 true
Answers
The solution to the inequality is all values of x less than 5. We can write the solution set using interval notation as (-∞, 5).
How to solve this inequality ?To solve the inequality -5x - 3 + 2x > -18, we need to isolate the variable x on one side of the inequality sign.
Starting with the given inequality:
-5x - 3 + 2x > -18
Simplifying the left-hand side by combining the like terms:
-3x - 3 > -18
Adding 3 to both sides:
-3x > -15
Dividing both sides by -3, and reversing the inequality sign since we are dividing by a negative number:
x < 5
Therefore, the solution to the inequality is all values of x less than 5. We can write the solution set using interval notation as (-∞, 5).
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Nathan is a cat enthusiast! He currently cares for 4 different cats. He adopts 2
new cats every year. Write and graph an equation to represent how many
cats he will have after x amount of years.
Answers
y=4+2x
Explanation:
He starts with four. Every year he will gajn 2 cats. Multiply 2 by the number of years (x).
Look below :)
Everything is underneath, ty. Just need an answer by Wednesday
Answers
Answer:
Step-by-step explanation:
\(\dfrac{3}{6}=\dfrac{9}{18}=\dfrac{27}{54}\)
\(\dfrac{3*3}{6*3}=\dfrac{9}{18}\\\\\\\dfrac{3*9}{6*9}=\dfrac{27}{54}\)
the variance inflationary factor (vif) measures the group of answer choices contribution of each x variable with the y variable after all other x variables are included in the model. correlation of the x variables with the y variable. correlation of the x variables with each other. standard deviation of the slope. next
Answers
The correct statement that describes variance inflationary factor (VIF) is option (a) the correlation of the x variable with each other
The variance inflationary factor ( VIF ) defined as the measure of the amount of multicollinearity in regression analysis.
When there is a correlation between multiple independent variable in multiple regression model, then there will be multicollinearity, therefore it will adversely affect the regression result
Correlation is defined as the extend to which the two variables are linearly connected. Therefore it will change at a constant rate together
Hence, the variance inflationary factor( VIF ) measures option (a) the correlation of the x variable with each other
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Which expression is equivalent to 32?
Answers
complete a stem and leaf diagram:
5. Complete a stem and leaf diagram for the miles per hour of 15 cars approaching a toll booth. 34, 39, 40, 42, 12, 51, 37, 26, 25, 29, 26, 38, 40, 27, 37
Answers
A stem and leaf diagram for the miles per hour of 15 cars approaching a toll booth is as follows: 1| 2 5 6 6 , 2| 5 6 7 9 , 3| 4 7 8 9
A stem and leaf diagram is a way to organize and display data. In this case, we have the miles per hour of 15 cars approaching a toll booth. The stem represents the tens digit of each value, and the leaf represents the ones digit.
The stem and leaf diagram for the given data is as follows:
1| 2 5 6 6
2| 5 6 7 9
3| 4 7 8 9
In the diagram, the first stem "1" corresponds to the values 12 and 15 (with leaves 2 and 5 respectively). The second stem "2" represents the values 25, 26, 27, and 29 (with leaves 5, 6, 7, and 9 respectively). The third stem "3" represents the values 34, 37, 38, and 39 (with leaves 4, 7, 8, and 9 respectively).
This stem and leaf diagram allows us to easily see the distribution of the miles per hour data. We can observe that the majority of cars were traveling between 20 and 30 miles per hour, with a few outliers at higher speeds. It provides a visual representation of the data set and can be helpful in identifying patterns or trends.
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what is a congruent polygon
Answers
A congruent polygon refers to two or more polygons that have the same shape and size. There must be an equal number of sides between two polygons for them to be congruent.
Congruent polygons have parallel sides of equal length and parallel angles of similar magnitude. When two polygons are congruent, they can be superimposed on one another using translations, rotations, and reflections without affecting their appearance or dimensions. Concluding about the matching sides, shapes, angles, and other geometric properties of congruent polygons allows us to draw conclusions about them.
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Plot the following equation using the x- and y-intercepts.
2x - 3y = 6
If both intercepts are zero, find at least one other point. Identify the graph of the equation.
Answers
The graph of the equation is a straight line with a slope of 2/3 passing through the points (3, 0), (0, -2), and (1, -4/3).
To plot the equation 2x - 3y = 6 using the x- and y-intercepts, we need to first find those intercepts.
To find the x-intercept, we set y to zero and solve for x:
2x - 3(0) = 6
2x = 6
x = 3
So the x-intercept is (3, 0).
To find the y-intercept, we set x to zero and solve for y:
2(0) - 3y = 6
-3y = 6
y = -2
So the y-intercept is (0, -2).
Now we can plot those two points on a graph and draw a line between them.
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________|________
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(3, 0) (0, -2)
However, if both intercepts are zero, that means the line is vertical or horizontal, and we cannot plot it using those intercepts. In this case, we can use any other point on the line to identify the graph. To find another point, we can choose a value for either x or y, substitute it into the equation, and solve for the other variable. Let's choose x = 1:
2(1) - 3y = 6
2 - 3y = 6
-3y = 4
y = -4/3
So another point on the line is (1, -4/3).
Now we can plot those three points and draw the line:
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________|________
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(3, 0) (0, -2) (1, -4/3)
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In the figure below, m<2=35 and m
Answers
Answer:
36 Degrees
Step-by-step explanation:
First the entire angle of BAC is 71 degrees, so all you have to do is subtract the known angle (2) by the entire angle. 71-35= 36. So that means the measure of angle 1 is 36 degrees.
Mr. Holmes has been getting his Master's in Education from Dowling College and has just heard the news: due to low enrollment, Dowling College will be closing! Because of this, there will be a sale at the campus bookstore and everything is 30% off. If he buys a hat with an original price of $25.00, he believes that the price will be $7.50. When he gets to the register however, the cashier tells Mr. Holmes that he owes $17.50. Who do you think is correct, Mr. Holmes or the cashier?
Answers
Answer:
cashier
Step-by-step explanation:
the discount is $7.50
How many five-digit palindromes are there? (A palindrome is a number that reads the same forwards and backwards, such as 70107.)
Answers
Answer:
900
Step-by-step explanation:
Since the first three numbers are the only ones that matter there are 9*10*10 options
In circle A below, chord BC and diameter DAE intersect at F. If mCD= 46° and mDB= 102° , what is ∠CFE?
(Pls help me i need this turned in tonight and this is the last question on my assignment)
Answers
Answer:
∠CFE = 118°
Step-by-step explanation:
You want the measure of angle CFE given arcs CD = 46° and DB = 102°, where DE is a diameter of circle A.
Arc CEThe measure of arc CE is the supplement of arc CD, so is ...
arc CE = 180° -45° = 134°
Angle CFEThe measure of angle CFE is the average of the measures of the arcs the chords subtend:
(DB +CE)/2 = (102° +134°)/2 = 118°
The measure of angle CFE is 118°.
__
Additional comment
The figure in the attachment is drawn to scale.
<95141404393>
If x, y, and z are positive integers, what is the remainder when 100x + 10y + z is divided by 7 ? (1) y = 6 (2) z = 3
Answers
We need to find the remainder when 100x + 10y + z is divided by 7, where x, y, and z are positive integers.
Statement 1: y = 6
If y = 6, we don't have enough information to determine the remainder when 100x + 10y + z is divided by 7. For example, if x = 1 and z = 1, then 100x + 10y + z = 166, which leaves a remainder of 3 when divided by 7.
But if x = 2 and z = 5, then 100x + 10y + z = 265, which leaves a remainder of 5 when divided by 7. Statement 1 is not sufficient.
Statement 2: z = 3
If z = 3, we still don't have enough information to determine the remainder when 100x + 10y + z is divided by 7. For example, if x = 1 and y = 2, then 100x + 10y + z = 123, which leaves a remainder of 3 when divided by 7.
But if x = 3 and y = 4, then 100x + 10y + z = 343, which leaves a remainder of 0 when divided by 7. Statement 2 is not sufficient.
Statements 1 and 2 combined:
If y = 6 and z = 3, then 100x + 10y + z = 100x + 63. To find the remainder when 100x + 63 is divided by 7, we can look at the remainders when 100x and 63 are divided by 7 separately.
Since 100 is congruent to 2 modulo 7 (i.e., the remainder when 100 is divided by 7 is the same as the remainder when 2 is divided by 7), we have 100x ≡ 2x (mod 7).
Therefore, the remainder when 100x is divided by 7 depends only on the remainder when x is divided by 7. Similarly, the remainder when 63 is divided by 7 is 0, since 63 = 7 × 9.
Thus, the remainder when 100x + 63 is divided by 7 depends only on the remainder when x is divided by 7. Statement 1 and 2 together are still not sufficient.
Therefore, the answer is (E) neither statement alone is sufficient to answer the question.
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Help with this PLEASE!!! I WILL GIVE BRAINLiEST AND 50 POINTS EACH
Answers
Answer:
Step-by-step explanation:
A= bh/2 so your height is going to be 4 and base 6 so its going to be 12 inches squared let me know if this helped
the angle of depression of the light to the nearest minute is
Answers
Answer
θ = 37° 30'
Explanation:
The angle of depression has the same measure as the angle of elevation, so a trigonometric function that related the sides of the triangle and the angle of elevation θ is tangent. Then:
\(\text{tan }\theta\text{ =}\frac{39.57}{51.56}\)Therefore, the value of θ is:
\(\begin{gathered} \tan \text{ }\theta\text{ = 0.7674} \\ \theta=\tan ^{-1}(0.7674) \\ \theta=37.50 \end{gathered}\)So, in grades and minutes, we get:
θ = 37.50 = 37° 30'
Therefore, the angle of depression is 37° 30'
if a van traveled 200 miles in 5hours how far could the van go in 8hours
Answers
Answer:
320 mph
Step-by-step explanation:
200/5=40
40x8=320
A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. The van travelled 320 miles in 8 hours.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
if a van traveled 200 miles in 5 hours
We need to find how long it travels in 8 hours.
Let x be the distance to travel in eight hours.
Let us make a equation
200/5=x/8
Apply cross multiplication
1600=5x
Divide both sides by 5
1600/5=x
320=x
Hence the van travelled 320 miles in 8 hours.
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