Each marvel bag sold by Amy's marble company contains 7 red marbles for every 4 orange marble. If a bag has 28 orange marbles, home many red marbles does it contain
If a bag has 28 orange marbles, then it contain 49 red marbles.
What is ratio?A ratio is a comparison of two quantities or values, expressed in the form of a fraction or a division. Ratios are used to compare the size, magnitude, or quantity of two or more quantities or values.
For example, if there are 10 apples and 5 oranges, we can write the ratio of apples to oranges as 10:5 or 2:1, since there are two times as many apples as oranges. Similarly, if a recipe calls for 3 cups of flour and 1 cup of sugar, we can write the ratio of flour to sugar as 3:1, indicating that there are three times as much flour as sugar.
Ratios can be simplified, converted to equivalent fractions or decimals, or used to solve problems involving proportional relationships between different quantities. They are widely used in many areas of mathematics, science, and everyday life, such as in finance, engineering, and statistics.
According to given condition :We can start by using the given ratio of 7 red marbles for every 4 orange marbles to find the ratio of red marbles to orange marbles in the bag.
For every 4 orange marbles, there are 7 red marbles, so we can write:
7 red marbles / 4 orange marbles
We can simplify this ratio by dividing both the numerator and denominator by their greatest common factor, which is 1 in this case. This gives:
7/4
So the bag contains 7 red marbles for every 4 orange marbles.
If the bag has 28 orange marbles, we can use this ratio to find the number of red marbles in the bag. We can set up a proportion:
7/4 = x/28
where x is the number of red marbles in the bag.
To solve for x, we can cross-multiply:
7 × 28 = 4 × x
196 = 4x
Dividing both sides by 4, we get:
x = 49
Therefore, the bag contains 49 red marbles.
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if 132=(6x+30) what is the value of x
Answer:
x=17
Step-by-step explanation:
132 + (-30) = (6x+30) + (-30)
132 - 30 =6x + 30 - 30
102 =6x
6x/6 = 102/6
(This step has a picture)
x=17
Pls help will mark Brainly est pls help 100 points please
1. Another point on the graph p(x) is (5, 9)
2. the vertex of the q(x) is (4, 10).
The other two points on the q(x) are (0, 2) and (2, 8).
What is a parabola?Parabola is a curve drawn in a plane. Where any point is at an equal distance from a fixed point (the focus ) and a fixed straight line (the directrix ).
Given:
The two equations of the quadratic functions are;
p(x) = -(x - 1)² + 10
q(x) = 1/2(x - 4)² + 10.,
The graph of p(x) and q(x) is given in the image below.
1. Another point on the graph p(x) is (5, 9)
2. the vertex of the q(x) is (4, 10).
The other two points on the q(x) are (0, 2) and (2, 8).
3. Yes the assumption is correct.
Therefore, all the required values are given above.
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Write some examples of interval variables
An interval variable is a type of quantitative variable, where the difference between two values of the variable is meaningful and the values can be ordered.
Examples of interval variables include temperature (in Celsius or Fahrenheit), time (in seconds, minutes, hours, etc.), and dates. You can calculate the difference in temperature between two points, the length of time between two events, or the number of days between two dates. For example, let's say that the temperature outside is 25°C at noon and 29°C at 4 pm. The interval variable is the temperature, and the difference between the two temperatures is 4°C (29°C - 25°C = 4°C). Another example is the length of time between two events. Let's say that Event A began at 1 pm and Event B began at 2 pm. The interval variable is the length of time between the two events and the difference between the two times is 1 hour (2 pm - 1 pm = 1 hour). Finally, let's say that Date A is January 1, 2020 and Date B is January 10, 2020. The interval variable is the number of days between the two dates, and the difference between the two dates is 9 days (January 10,)An interval variable is a type of quantitative variable, where the difference between two values of the variable is meaningful and the values can be ordered.
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Graph the linear system and tell how many solutions it has. If there is exactly one solution, estimate the solution and check it algebraically.
Answer:
There is exactly one solution: (3, 1)
Step-by-step explanation:
To graph these equations, you need to change them to slope intercept form:
x + y = 4 in slope intercept form is y = -x + 4 (subtract x frok both sides).
x - y = 2 in slope intercept form is y = x - 2 (subtract x from both sides then divide both sides by -1)*.
Now, all you have to do is graph both and find the point they cross at (the solution) which is (3, 1).
* = y can never be negative, which is why you divide by a -1 after subtracting x.
Hope this helps!
The budget for a project on voting trends includes $3200 for hiring undergraduate students, graduate students, and faculty members to conduct interviews on the day before an election. Each undergraduate student will conduct 30 interviews for $100. Each graduate student will conduct 32 interviews for $150. Each faculty member will conduct 33 interviews for $200. No more than 20 interviewers can be hired.
(a) How many of each type of interviewer should be hired in order to maximize the number of interviews?
(b) What is the maximum number of interviews?
To increase the number of interviews, it should be recommended that 0 undergraduate students, 16 graduate students, and 4 faculty members be hired. There can be a maximum of 644 interviews by statistics
Simplex Method:In 1947, George Dantzig invented an algorithm that allows us to take a system of equations and find its maximum or minimum values that make the equations most efficient. This method is used in linear programming to determine optimization.
If n = the number of interviews, then let x = the number of undergraduate students hired, y = the number of graduate students employed, z = the number of faculty members hired.
Maximization of n = 30x + 32y + 33z
The limitations are: x + y + z 20; 100x + 150y + 200z 3200; and 0;
The answer is 644 because x = 0, y = 16, z = 4.
To increase the number of interviews, it should be recommended that 0 undergraduate students, 16 graduate students, and 4 faculty members be hired. There can be a maximum of 644 interviews by statistics given.
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The angle of depression from the top of Pike’s Peak, at an altitude of 14,000 feet, to the city of Colorado Springs is 8o. The horizontal distance from the city to the peak is 58,000 feet. Find the altitude of Colorado Springs.
Answer:
[tex]\mbox{\large \boxed{\textsf{5, 849 \;feet}}}[/tex]
Step-by-step explanation:
See figure for information pertaining to this explanation
The figure is self explanatory
The triangle ABC forms a right triangle with the vertical leg of length 14000-h and horizontal length of 58000
The angle opposite side 14000 - h = 8°
By the tangent formula
[tex]\tan 8^\circ = \dfrac{AB}{AC} = \dfrac{14000-h}{58000}[/tex]
Switching sides,
[tex]\dfrac{14000-h}{58000} = \tan 8^\circ[/tex]
[tex]14,000 - h = 58,000 \times \tan 8^\circ\\\\14,000 - h = 8,151.36 \approx 8,151[/tex]
h = 14,000 - 8,151 = 5,849 feet
So the altitude of Colorado Springs is roughly 5,849 feet
This is close to the published value of 6,035 feet. The differences are due to estimate errors in horizontal distance, peak height and angle of depression
pls help asap!!!
The table shows the proportional relationship between the number of tickets required per game at a carnival.
Games 4 7 10
Tickets 24 42 60
Determine the constant of proportionality.
3
6
16
30
Two friends shop for fresh fruit. Elena buys a watermelon for $8.55 and 5 pounds of cherries. Taniy buys a pineapple for $4.45 and 4 pounds of cherries. Use the variable p to represent the price, in dollars, per pound of cherries. Write and simplify an expression to represent how much more Elena spent.
The expression to represent how much more Elena spent is 4.1 + p.
How to find the expression to represent a situation?Two friends shop for fresh fruit. Elena buys a watermelon for $8.55 and 5 pounds of cherries. Taniya buys a pineapple for $4.45 and 4 pounds of cherries.
Therefore, the expression to represent how much more Elena spent can be represented as follows:
hence,
p = price in dollars, per pound of cherries.
Hence,
amount Elena spent more = 8.55 + 5p - (4.45 + 4p)
amount Elena spent more = 8.55 + 5p - 4.45 - 4p
amount Elena spent more = 8.55 - 4.45 + 5p - 4p
Therefore,
amount Elena spent more = 4.1 + p
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Graph the linear system and tell how many solutions it has. If there is exactly one solution, estimate the solution and check it algebraically.
Answer: Infinite solutions.
Step-by-step explanation:
To graph both these equations, you need to make them slope intercept form (which is y = mx + b):
x + 2y = -2 in slope intercept form is y = -1/2x - 1 (subtract x from both sides then divide both sides by 2).
-3x - 6y = 6 in slope intercept form is y = -1/2x - 1. (add 3x to both sides then divide both sides by -6).
These are the same lines, so there are an infinite number of solutions when you graph.
Hope this helps!
Jimmy is an accountant who also works part-time as a museum tour guide. Information from his tax worksheet is wages from accounting job, $75,937.84; wages from museum job, $14,937.92; interest, $839.40; and dividends, $123.45. What is Jimmy’s total income?
Jimmy’s total income is $91838.61
How to determine Jimmy's income?
You should understand that total income' refers to the sum of certain incomes (in cash and, in some circumstances, in kind) of the statistical unit during a specified reference period
The given parameters that will help us to determine the income are
wages from accounting job, $75,937.84;interest, $839.40wages from museum job, $14,937.92; dividends, $123.45.Therefore Jimmy's total income is the sum of all the incomes
$(75,937.84 + 839.40 + 14,937.92 + 123.45)
Total income = $91838.61
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factor help pleaseeeee
Answer:
(6x+8y)(6x-8y)
Step-by-step explanation:
See attached worksheet.
Many sheet materials used in construction, such as plywood or drywall, measure 8 feet by 4 feet. What are these dimensions in inches?
I need help with my homework please help
The formulas for the rigid transformations of the figures are listed below:
Case 1: (x, y) → (x - 10, y + 9)
Case 2: (x, y) → (- y, x)
Case 3: (x, y) → (- x, y)
Case 4: (x, y) → (- y, x)
Case 5: (x, y) → (x, - y)
Case 6: (x, y) → (x, y + 10)
How to determine the transformation rule for each case
In this question we find six cases of rigid transformations applied on figures. The most common rigid transformations are listed below:
Translation: (x, y) → (x + a, y + b), where a, b are real numbers.Reflection about x-axis: (x, y) → (x, - y)Reflection about y-axis: (x, y) → (- x, y) Rotation: (x, y) → (x · cos θ - y · sin θ, x · sin θ + y · cos θ), where θ is the angle of rotation.Then, by direct inspection, we derive the following rigid transformations:
Case 1 (Translation)
(x, y) → (x - 10, y + 9)
Case 2 (Rotation)
(x, y) → (x · cos (- 270°) - y · sin (- 270°), x · sin (- 270°) + y · cos (- 270°))
(x, y) → (- y, x)
Case 3 (Reflection about y-axis)
(x, y) → (- x, y)
Case 4 (Rotation)
(x, y) → (x · cos 90° - y · sin 90°, x · sin 90° + y · cos 90°)
(x, y) → (- y, x)
Case 5 (Reflection about x-axis)
(x, y) → (x, - y)
Case 6 (Translation)
(x, y) → (x, y + 10)
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A family wants to rent a car to go on vacation. Company A charges $30.50 and 8 cents permile. Company B charges $ 65.50 and 13 cents permile . How much more does Company A charge for x miles than ?
The amount of money Company A charge more for x miles, 35 - 0.05x dollars
What is subtraction?In mathematics, subtraction is an operation which means taking away a few portions of the group or few things from a whole part.
For example, if we take 4 pencils out of 10 then remaining pencils are 6
so this process is called subtraction.
Let's call the number of miles the family wants to travel "x".
The cost for Company A is $30.50 plus 8 cents per mile, so the total cost for Company A is,
30.50 + 0.08x.
The cost for Company B is $65.50 plus 13 cents per mile, so the total cost for Company B is,
65.50 + 0.13x.
To find out how much more Company A charges, we can subtract the cost for Company B from the cost for Company A:
= (30.50 + 0.08x) - (65.50 + 0.13x)
= 35 - 0.05x
So, Company A charges 35 - 0.05x dollars more than Company B for x miles.
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The side lengths of a triangle are 6, 8, and 10. Is this a right triangle?
OA. Yes, because 62 +82 > 10².
B. No, because 62 +82 # 10².
C. Yes, because 62 +82 = 10².
OD. No, because 6 + 8 + 10.
SUBMIT
Is this a right triangle: C. Yes, because 6² + 8² = 10².
What is the triangle inequality theorem?In Euclidean geometry, the Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than or equal (≥) to the third side of the triangle.
Mathematically, the Triangle Inequality Theorem is represented by this mathematical expression:
b - c < n < b + c
Where:
n, b, and c represent the side lengths of this triangle.
By applying Pythagorean theorem, the possible side lengths of the triangle's third side is given by:
10² = 6² + 8²
100 = 36 + 64
100 = 100 (True).
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will give brainliest plss!!!!! helpleleepepPLS!
i numbered all of them so it would be easy for you to tell me them in order, hope it helps ):
“Sort these cards into 2 Piles.”
The relation which are function is shown below.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x.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.
We know that a relation is said to be function if one input have only one output.
1. The relation is not function because the input 6 have two output values
5 and 10.
2. The relation is a function because the each input have one output values.
3. The relation is a function because the each input have one output values.
4. The relation is not function because the input 4 have two output values .
5. The relation is a function because the each input have one output values.
6. The relation is not function because the input have two output values.
7. The relation is a function because the each input have one output values.
8. The relation is not function because the input have two output values.
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5,694 x 5 PLEASE HELP MEEEE!!!!!!!
Answer:
5,694 x 5 = 28,470Step-by-step explanation:
You're welcome
What is x equal to in the equation 2x+7=16? Give your answer as an improper fraction in its simplest form.
Answer:
[tex]x=\frac{9}{2}[/tex]
Step-by-step explanation:
[tex]2x=9 \implies x=\frac{9}{2}[/tex]
Walter deposits $203.77 each month into an annuity account for his child's college fund in order to accumulate a future value of $60,000 in 18 years. How much of the $60,000 will Walter ultimately deposit in the account, and how much is interest earned? Round your answers to the nearest cent, if necessary.
Based on the amount deposited into the account every month, the amount that Andrew will deposit in the account is $72,548.64. The interest earned will be $17,451.36.
What is interest?Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.
here, we have,
What amount does Andrew deposit?
This can be found by the formula:
= Amount deposited every month x Number of years x Number of months in a year
= 503.81 x 12 x 12
= $72,548.64
What amount of interest is earned?
This can be found as:
= Future value of amount - Amount deposited
= 90,000 - 72,548.64
= $17,451.36
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linda wants new carpeting for her bedroom her bedroom is a 75m by 50m rectangle if carpeting cost AED 12 per square meters how much will it cost to lay carpet for her entire bedroom?
please answer as soon as possible i need this question
The required cost to lay carpet for her entire bedroom is 45,000.
What is rectangle?An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form.
According to question:To calculate the cost of carpeting Linda's bedroom, we need to find the area of the rectangle:
Area = length x width
Area = 75m x 50m
Area = 3750 square meters
Then, we can multiply the area by the cost per square meter of carpeting:
Cost = Area x Cost per square meter
Cost = 3750 square meters x AED 12/square meter
Cost = AED 45,000
Therefore, it will cost AED 45,000 to lay carpet for Linda's entire bedroom.
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What is the slope of the function?
–3
–2
3
4
The slope of the function is equal to: C. 3.
How to calculate the slope of a line?In Mathematics, the slope of any straight line can be determined by using this mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Substituting the given data points into the slope formula, we have the following;
Slope, m = (4 - 1)/(0 - (-1))
Slope, m = 3/4=1
Slope, m = 3.
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A parallelogram is drawn on a centimetre grid.
Find the area of the parallelogram
Answer: 15
Step-by-step explanation:
Base x Height = Area
Solve the radical equation by drawing your answers below. Be sure to show all your work
The solution to the radical equation is given as follows:
x = 1.
How to solve the radical equation?The radical equation for this problem is defined as follows:
1/x + (x - 1)/9x = 1.
To leave the left side with a common denominator, we can multiply 1/x by 9 in the numerator and in the denominator, hence:
9/9x + (x - 1)/9x = 1.
As the left side has a common denominator, we can add the numerators and keep the denominator constant, as follows:
(9 + x - 1)/9x = 1
(8 + x)/9x = 1.
Applying cross multiplication, the value of x is obtained as follows:
9x = 8 + x
8x = 8
x = 8/8
x = 1.
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Find the area. Simply your answer. 3x and x+2
Answer:
4x+2
Step-by-step explanation:
Add common numbers together.
3x + x = 4x
Therefore, the answer is 4x+2.
Hope this helps ^_^
What is the value of 2.7 liters in ounces
One liter is equal to 33.814 ounces, so 2.7 liters is equal to 90.772 ounces. This can be calculated using the following formula, which is multiplying 2.7 by 33.814: 2.7 x 33.814 = 90.772.
To calculate the number of ounces in a given amount of liters, this formula can be used. This can be calculated using the following formula, which is multiplying 2.7 by 33.814: 2.7 x 33.814 = 90.772.This is useful for quickly and accurately converting between liters and ounces, which can come in handy when measuring liquids or other substances. For example, if a recipe calls for 2.7 liters of a certain ingredient, you can easily convert that to ounces using the formula.
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Allison was in an accident cause by her own negligence. She has 50/250 bodily injury insurance. There were 5 people injured in a mini-van and 2 people injured in Allison’s own car. The people injured in the accident sued and 4 were awarded $40,000, 2 were awarded $80,000 and 1 person was awarded $160,000. How much will the insurance company pay?
In this situation, Allison's insurance company will pay a total of $400,000.
Calculate the cost of insurance companyFirst, we need to add up the total amount awarded to the people injured in the accident. This is $40,000 x 4 + $80,000 x 2 + $160,000 x 1 = $400,000.
Next, we need to look at Allison's insurance policy. She has 50/250 bodily injury insurance, which means that the insurance company will pay up to $50,000 per person and up to $250,000 per accident.
Since the total amount awarded is $400,000, the insurance company will only pay the maximum amount allowed per accident, which is $250,000.
Therefore, the insurance company will pay $250,000 and Allison will be responsible for the remaining $150,000.
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Add.
Your answer should be an expanded polynomial in standard form.
(−5n^4+ 8) + (5n^4 + 8n³ + 3n²) =
Answer:
8n^3 + 3n^2 + 8
Step-by-step explanation:
Forty-four percent of the members of the Science Club wear blue shirts. Which of the following is a binomial experiment?
Selecting eight members randomly and recording whether each member is wearing a blue shirt
Selecting eight members randomly and recording the number in the group wearing a blue shirt
Selecting members randomly until one without a blue shirt is chosen
Selecting members randomly until one with a blue shirt is chosen
Option A is correct.
Selecting eight members randomly and recording whether each member is wearing a blue shirt.
A binomial experiment is defined as a statistical experiment which consists of n repeated trials. Only two possible outcomes are possible in each trial- either its a success or a failure. Here the probability of success remains the same on every trial.
Here, in 8 members the person wearing blue will be a success others will be a failure outcome.
Answer:
a
Step-by-step explanation:
The census bureau reports that the mean and median incomes of people who worked full time in 2001 and had at least a bachelors degree were $53,054 and $72,674
The mean income, of people who worked full-time in 2001 and had at least a bachelor's degree, was $53,054. while the median income was $72,674.
What are the mean and median?The mean is the average value. The mean is computed as the quotient of the total value divided by the number of values.
The median is the middle value of the data set in an ordered list.
Both the mean and the median are described as measures of central tendency.
Thus, we can identify the mean value as $53,054 since it was the first to be mentioned, followed by the median income as $72,674.
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Question Completion:Which of these numbers is the mean and which is the median? Explain your reasoning.