ERATIOS, PROPORTIONS, AND PERCENTSWord problem on proportions: Problem type 26°FCloudyEach marble bag sold by Rafael's Marble Company contains 3 purple marbles for every 2 red marbles. If a bag has 14 red marbles, how many purple marblesdoes it contain?purple marblesI need help with this problem.
Answers
Given
Each marble bag sold by Rafael's Marble Company contains 3 purple marbles for every 2 red marbles.
And, the bag has 14 red marbles.
To find:
The number of purple marbles.
Explanation:
It is given that,
Each marble bag sold by Rafael's Marble Company contains 3 purple marbles for every 2 red marbles.
That implies,
The ratio of purple marbles to red marbles is 3:2.
Since, the bag contains 14 red marbles.
Then,
\(\begin{gathered} Ratio=\frac{number\text{ }of\text{ }purple\text{ }marbles}{number\text{ }of\text{ }red\text{ }marbles} \\ \frac{3}{2}=\frac{x}{14} \\ x=\frac{3\times14}{2} \\ x=3\times7 \\ x=21 \end{gathered}\)Hence, the number of purple marbles is 21.
Related Questions
URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS
Answers
Number of car sold are 98.
Number of trucks sold are 66.
Given,
Dealer 1 sold 164 cars and trucks and dealer 2 sold 229 cars and trucks .
Let number of cars sold are x.
Let number of cars sold of y .
Now,
For dealership 1 equation will be,
x + y = 164 ......(1)
For dealership 2 equation will be,
As the cars are sold twice and trucks are sold half .
2x + y/2 = 229......(2)
Solving 1 and 2,
y = 66
x = 98
Thus number of car sold are 98.
Thus number of trucks sold are 66.
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Estimate the sum -14 1/9 x -2 9/10
Answers
Answer:
ज्ध्ध्द्न्द्
Step-by-step explanation:
क्क्न्क्
What is the standard form equation of an ellipse that has vertices (−2,−18) and (−2,8) and foci (−2,−14) and (−2,4)?
Answers
Answer:
Hello,
Step-by-step explanation:
All is in the picture.
B=(-2,8), O=(-2,-5)
b=BO=8+5=13
F_1=(-2,4) O=(-2,5) Focus distance=4+5=9
Horizontal half axis=√(b²-f²)=√88
6) 1,1,3,8,19, 41
a) 60
b) 81
c) 90
d) 101
Analogias
Answers
The next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term. None of the option is correct.
To find the pattern in the sequence 1, 1, 3, 8, 19, 41, we can examine the differences between consecutive terms:
1 1 3 8 19 41
0 2 5 11 22
Looking at the differences, we can observe that each subsequent difference is obtained by adding consecutive odd numbers: 2, 3, 4, 5, etc. This suggests that the original sequence may be related to square numbers.
Let's check if the differences between consecutive terms are square numbers:
2 = 1²
5 = 2² + 1²
11 = 3² + 2²
22 = 4² + 3²
Based on this pattern, we can make a reasonable assumption that the next difference should be 5² + 4² = 41 + 16 = 57. Adding this difference to the last term of the sequence (41), we get the next term:
41 + 57 = 98
Therefore, the next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term.
Hence, none of the given options accurately continue the pattern of the sequence. It's important to note that patterns in sequences can sometimes have multiple possible interpretations, and it's always essential to consider alternative patterns or extend the sequence further to confirm the pattern.
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Please look at the photo. Thank you.
Answers
The output value of (f∘g)(x) is: \((f \circ g)(x) = \frac{4x^2-29x+60}{x +3}\)
The domain of (f∘g)(x) is (-∞, -3) U (-3, ∞).
How to determine the corresponding output value for this function?In this scenario, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations (multiplication) in simplified form as follows;
\(f(x) = \frac{x-6}{x +3}\)
g(x) = 4x - 15
Next, we would write the numerators and denominators in factored form as follows;
(x - 6)(4x - 15)
4x² - 15x - 24x + 60
4x² - 29x + 60
Now, we can derive the corresponding composite function of f(x) and g(x);
\((f \circ g)(x) = \frac{4x^2-29x+60}{x +3}\)
For the restrictions on the domain, we would have to equate the denominator of the rational function to zero and then evaluate as follows;
x + 3 ≠ 0
x ≠ -3
Domain = (-∞, -3) U (-3, ∞).
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3. Solve the quadratic by taking square roots. Write your answer with no spaces as x=a, -a where a and-a are the values you found when solving. Round to
the nearest tenth.
2x^2- 9 = 121
Answers
Answer:
*7898+walle was a good movie tbh
Step-by-step explanation:
2x^yej(0)
Please no link ,step by step
Superpop potato chips factory employs 267 people. If each
worker receives Rs 2384 as wages every month, what is the total
woge bill () for one month, (m) for the whole year?
Answers
Answer:
636,528 Rs
7,638,336 Rs
Step-by-step explanation:
Total wage bill per month = wage of each worker x number of employees
267 x Rs 2384 = 636,528 Rs
Wage bill for the year = monthly wage bill x 12
636,528 Rs x 12 = 7,638,336 Rs
explain why the statement x < 3 or > 5 cannot be written 5 < x < 3
Answers
Answer:
This formula has no values, it is a false inequality. X can not be greater than 5, and less than 3.
Step-by-step explanation:
x < 3 or x > 5
This means, x is less than 3, but greater than 5.
Technically, you would write this as 5 < x < 3, however, this is a false inequality, and does not work.
There are six pizzas there are 36 players on the team. If each member has one slice and each pizza has eight slices how much pizza in fraction form will be left over.
Answers
There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.
To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.
Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.
Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.
To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.
Therefore, there will be 12 slices of pizza left over.
To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.
If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.
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Which graph shows a function with a range of all real numbers greater than or equal to –1?
Answers
Answer:
b
Step-by-step explanation:
edge2020
what is the annual salary equivalent to a semimonthly salary of $834.08?
Answers
Answer:
$20,017.92
Step-by-step explanation:
Semimonthly means twice a month.
There are 12 months in a year.
12 x 2 = 24 (because they are payed twice a month)
24 x 834.08 = 20017.92
HELP PLSSS ILL MARK YOU BRAINLIEST!!
Go
Answers
What is the smallest number divisible by 5 that
can be made from the digits:
7,5, 3, 4, 8?
Answers
Answer:
34785
Step-by-step explanation:
Since multiples of 5 have to end with a 5 or a 0, the 5 has to go at the end...
Then put the other numbers in ascending order as it would lower the value of the number. (for example, 34 is smaller than 43)
What do you learn about the Number Devil from the
passage?
O The Number Devil is bad at math.
"You've hit the nail on the head, my boy," the devil
replied. "The thing that makes numbers so devilish is
precisely that they are simple. And you don't need a
calculator to prove it. You need one thing and one thing
only: one. With one - I am speaking of the numeral, of
course - you can do almost anything. If you are afraid of
large numbers - let's say five million seven hundred and
twenty-three thousand eight hundred and twelve - all
you have to do is start with
The Number Devil admires intelligence,
The Number Devil is impatient.
The Number Devil hates children.
1+1+1...
and go on until you come to five million etcetera. You
can't tell me that's too complicated for you, can you? Any
idiot can see that."
Answers
Answer:
its c!
Step-by-step explanation:
trust me on this!
Answer:
c
Step-by-step explanation:
the other person
how do you find the area of a partial circle
Answers
Answer:
Divide!
Step-by-step explanation:
Find the area of the whole circle then divide it by whatterver percent of the circle you are looking at....
Differentiate y=x4 -x
Answers
Answer:
Step-by-step explanation:
To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).
So, for y = x^4 - x, we can find the derivative as follows:
y' = 4x^3 - 1
So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.
Here are some initial value problems with obvious solutions, as discussed in class. In all cases the solutions are functions of x. All letters other than y and x denote constants. The solution of y' = ky, y(0) = A is y(x) = Ae^(kx). The solution of is y" = k^2y, y(1) = y(-1) = A is y(x) = A/(e^(-k)+e^(k))(e^(-kx)+e^(kx)) The solution of is y" = -k^2y, y(0) = -y(-1) = A is y(x) = A/(e^(-k)-e^(k))(e^(-kx)-e^(kx)). The solution of y" = -k^2y, y(0) = 1, y'(0) = 0 is y(x) = cos(kx) The solution of y" = -k^2y, y(0) = 0, y'(0) = 1 The solution of y" = -k2y, y(0) = A, y'(0) = B is y(x) =
Answers
the sixth IVP has the form $y''=-k{power}2 y$, $y(0)=A$, $y'(0)=B$, which is again a second-order linear homogeneous differential equation with constant coefficients and initial conditions. Its solution is given by $y(x)=(A\cos(kx)+(B/k)\sin(kx))$.
In this problem set, we are given different initial value problems (IVPs) with their corresponding solutions. The solutions are all functions of the independent variable $x$ and are expressed in terms of constants, such as $A$, $B$, and $k$. The solutions of these IVPs involve differential equations of the form $y''=f(x,y,y')$.
For instance, the first IVP has the form $y'=ky$, $y(0)=A$, which is a first-order linear differential equation with constant coefficients. Its solution is given by $y(x)=Ae{power}{kx}$.
The second IVP has the form $y''=k{power}2 y$, $y(1)=y(-1)=A$, which is a second-order linear homogeneous differential equation with constant coefficients. Its solution is given by $y(x)=A/(e{power}{-k}+e{power}{k})\cdot(e{power}{-kx}+e{power}{kx})$.
The third IVP has the form $y''=-k{power}2 y$, $y(0)=-y(-1)=A$, which is also a second-order linear homogeneous differential equation with constant coefficients. Its solution is given by $y(x)=A/(e{power}{-k}-e{power}{k})\cdot(e{power}{-kx}-e{power}{kx})$.
The fourth IVP has the form $y''=-k{power}2 y$, $y(0)=1$, $y'(0)=0$, which is a second-order linear homogeneous differential equation with constant coefficients and initial conditions. Its solution is given by $y(x)=\cos(kx)$.
The fifth IVP has the form $y''=-k{power}2 y$, $y(0)=0$, $y'(0)=1$, which is also a second-order linear homogeneous differential equation with constant coefficients and initial conditions. Its solution is given by $y(x)=(1/k)\sin(kx)$.
Finally, the sixth IVP has the form $y''=-k{power}2 y$, $y(0)=A$, $y'(0)=B$, which is again a second-order linear homogeneous differential equation with constant coefficients and initial conditions. Its solution is given by $y(x)=(A\cos(kx)+(B/k)\sin(kx))$.
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Help me please!!!!!!!!
Answers
Answer:
(x+4)^2
Step-by-step explanation:
Between what two consecutive integers does the square root of 19
lie
Answers
3 (2x - 5) + 20 + 5x i need help
Answers
Answer:
11x - 5 orx = -5 / 11Step-by-step explanation:
3 (2x - 5) + 20 + 5x
= 6x - 15 + 20 + 5x
= 6x + 5x = 15 - 20
= 11x - 5
or if you are looking for x:
then x = -5 / 11
36 apartments on 9 floors = apartments per floor
Answers
Answer:
4 apartments per floor
Answer: 4
Step-by-step explanation:
If there are 36 apartments in the building with 9 on each floor, you can find the answer by simply doing the equation 36/9=4.
Is 3x-18 equivalent to 3.(x-6)
Answers
Answer:
Yes it is.
Step-by-step explanation:
If you distribute you will get the same answer, 3x-18 because 3 times x is 3x and 3 times 6 is 18.
Hope this helps!!
A number rounds down to 600 to 1 significant figure. What could the original number
be?
Answers
Answer:
1000
Step-by-step explanation:
Round the 6 in 600, this is 1 significant figure.6 rounds up to 10 making 1000
The number can be 601, 602, 603, ....... 699
What is significant figures?Significant figures are the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit.
If the number is round down to 600 then it's depend on round off
If the round off should be at hundred place, then number can be
601,602, ..................649.
If we round off the above number then it will be 600 which has 1 significant figure.
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Li Marie's water tables are evenly spaced along the 5,000-meter (or 5-kilometer) course, including one at the beginning and one at the end. What is the distance between each pair of tables that are next to each other? Hint: There are not 9 sections between tables.
Answers
The distance between each of the 9 tables is given as follows:
625 meters.
How to obtain the distance?The distance is obtained applying the proportions in the context of the problem.
A proportion is applied as the distance is calculated by the division of the total distance by the number of spaces, which is one less than the number of tables.
The parameters for this problem are given as follows:
Total distance of 5000 meters.Eight spaces.Hence the distance between each of the 9 tables is obtained as follows:
5000/8 = 625 meters.
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John has five apples and he gives two to his friend how many apples does John have left
Answers
Answer:
3 applesStep-by-step explanation:
Total amount of apple John has = 5 apples
Amount given out to his friend = 2 apples
Number of apples Joh have left = Total amount of apple - Amount given out
Number of apples Joh have left = 5 apples - 2 apples
Number of apples Joh have left = 3 apples
Hence John has 3 apples left
Express your answer in numerals. Raj had 400 cookies. He sold 2 5 of them yesterday and 1 10 of them today. How many cookies did Raj have left?
Answers
Answer:
35
Step-by-step explanation:
R
b) In the given figure, show that triangle PQR is a right angled triangle.
Answers
Answer:
Given that triangle RSP is a right triangle, then using the Pythagorean Theorem, RP = 5. (3²+4²=5²)
Plugging the 5 in to triangle RPQ, we find that the Theorem still works for that one, which means it is a right triangle (5²+12²=13²)
Step-by-step explanation:
Given that triangle RSP is a right triangle, then using the Pythagorean Theorem, RP = 5. (3²+4²=5²)
Plugging the 5 in to triangle RPQ, we find that the Theorem still works for that one, which means it is a right triangle (5²+12²=13²)
Answer:
see explanation
Step-by-step explanation:
Using Pythagoras' identity in Δ PRS
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, then
PR² = 3² + 4² = 9 + 16 = 25 ( take the square root of both sides )
PR = \(\sqrt{25}\) = 5
Using the converse of Pythagoras in Δ PQR
If the longest side squared is equal to the sum of the squares on the other 2 sides then the triangle is right.
QR² = 13² = 169
PR² + PQ² = 5² + 12² = 25 + 144 = 169
Thus Δ PQR is a right triangle, with right angle at P
Jackie had $135 to spend at the mall. She spent 29% of that money on a dress. Jackie spent $___ on the dress. (Make sure to enter the answer as a decimal number only. Do not enter special characters such as the dollar symbol.)
Answers
Answer:
39.15
Step-by-step explanation:
: 29% = 29/100 = 0.29
$135.00 x .29 = $39.15
Answer:
She spent 39.15 dollars on the dress.
Step-by-step explanation:
The chart below represents the steps in the process of a bill becoming a law. Use the chart to answer the following question.
The image represents the process of a bill becoming a law. It shows a set of parallel lines that merge, then split into two, and then merge again. Moving left to right, the top line has boxes labeled: A, C, E, G, and H. The bottom line has boxes labeled: B, D, F, and I. Boxes A and B, C and D, E and F, H and I, are paired. G is the only box on the top line without a corresponding box on the bottom line. Continuing to move from left to right, the two lines merge into one and have one box labeled J. Then the lines separate into two parallel lines again. The top line is labeled with box K and the bottom line is labeled with box L. The two parallel lines continue to the right where they again merge into one line, with an arrow pointing to a final box labeled M.
© 2011 FLVS
Which section of this chart represents the point where a bill is first debated in subcommittees?
A and B
H and I
C and D
K and L
Answers
Based on the description provided, the section of the chart that represents the point where a bill is first debated in subcommittees is: C and D
How to explain the informationIn the given chart, the parallel lines represent the progression of a bill through various stages in the legislative process. The boxes on the top line represent one set of actions or steps, while the boxes on the bottom line represent another set of actions or steps.
Moving from left to right on the chart, the boxes A and B are paired, representing a particular stage in the process. Similarly, the boxes C and D are paired, indicating another stage in the process.
In the context of the question, the stage where a bill is first debated in subcommittees is represented by the boxes C and D.
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Mary spends 2 2 3 hours on math homework every week. She also spends 3 1 3 hours on art homework every week. How much time does Mary spend in total on math and art over 4 weeks?
Answers
Answer: This is the answer. please give me the brainliest. Thanks
