The ratio completes the equivalent proportion a/b is 16/30.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
The given proportion is a/b = 8/15.
To get the equivalent proportion multiply both the numerator and denominator by 2 we get
16/30
Multiply both the numerator and denominator by 3 we get
24/45
Therefore, the ratio completes the equivalent proportion a/b is 16/30.
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find x please will give brainliest!
The value of the angle x is 120 degrees
How to determine the value of the variableIt is important to note the following;
The sum of angles in a triangle is 180 degreesAngles on a straight line is 180 degreesAlternate angles are said to be equal or congruentFrom the information given in the diagram, we have that;
The variable x is laying on a straight line with one end of the triangle.
Also, angle 60 is alternate to the same angle on a straight line with x
So, we have that;
60 degrees + x degrees = 180 degrees
Solve mathematically as;
60 + x = 180
collect like terms
x = 180 - 60
Subtract the values
x = 120 degrees
Hence, the value is 120 degrees
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A line passes through the point (5,-5) and has a slope of -2
whats this i need help
The minimum number of bins that she will need to safely stock the extra clothing will be 24
How to calculate the word problemA word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.
The minimum number of bins that she will need to safely stock the extra clothing will be:
= 350 / 15
= 24 rounded up.
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You have a total of 25 coins, all nickels and quarters. The total value is
$3.85. Write and solve a system of equations to find the number of
nickels n and the number of quarters q that you have. Can you solve it
Answer: Yes, I can solve this problem using a system of equations. Let n be the number of nickels and q be the number of quarters. Then we can write two equations:
The total number of coins is 25: n + q = 25.
The total value is $3.85: 0.05n + 0.25q = 3.85
We can solve this system of equations using substitution or elimination. Let's use substitution:
From equation (2), we can solve for n: n = (3.85 - 0.25q)/0.05.
Substitute this expression for n into equation (1): (3.85 - 0.25q)/0.05 + q = 25.
Multiply both sides by 0.05 to clear the denominators: 3.85 - 0.25q + 0.05q = 25 * 0.05.
Simplify the left side: 3.85 = 1.25q.
Divide both sides by 1.25 to solve for q: q = 3.08
Substitute this value for q into equation (1) or the expression for n from step (1) to find n: n = 25 - q = 25 - 3.08 = 21.92
Since n and q represent the number of coins, we round them down to the nearest whole number. So, there are 21 nickels and 3 quarters.
Step-by-step explanation:
TIME REMAINING
53:26
To be able to go on the band trip, four band members each get a part-time job. Each person has 5 weeks in which to save his or her money. Analyze the four individual plans below and decide which of the four people will reach his or her goal of saving $285?
Member A: Works 8 hours per week at $6.15 per hour
Member B: Works 10 hours per week at $5.85 per hour
Member C: Works 7 hours per week at $7.25 per hour
Member D: Works 9 hours per week at $6.35 per hour
The solution is, Only member B and D will reach their goal.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Given;
Amount to be saved = $285
Total time to save money = 5 weeks
Now,
For member A:
Working hours = 8 per week
per hour earnings = $6.15
Therefore,
The total amount collected
= working hours per week × Total weeks × Earning per hours
= 8 × 5 × 6.15
= $246
For member B:
Working hours = 10 per week
per hour earnings = $5.85
Therefore,
The total amount collected
= working hours per week × Total weeks × Earning per hours
= 10 × 5 × 5.85
= $292.5
For member C:
Working hours = 7 per week
per hour earnings = $7.25
Therefore,
The total amount collected
= working hours per week × Total weeks × Earning per hours
= 7 × 5 × $7.25
= $253.75
For member D:
Working hours = 9 per week
per hour earnings = $6.35
Therefore,
The total amount collected
= working hours per week × Total weeks × Earning per hours
= 9 × 5 × $6.35
= $285.75
Since, the amount earned by member B and D is greater than the goal amount and the amount earned by member A and C is less than the goal amount
therefore,
Only member B and D will reach their goal.
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given target's financial statements, calculate the common size value for licensed content. (enter percentages as decimals and round to 4 decimals)
The common size value for licensed content is 0.0848.
To calculate the common size value for licensed content, first, we need to find the total revenue of the company. We can get this information from the company's financial statements.
Let's assume the total revenue of the company is $100,000.
Next, we need to find the amount of money spent on licensed content. Let's assume that the amount spent on licensed content is $8,500.
Now, to calculate the common size value for licensed content, we need to divide the amount spent on licensed content by the total revenue, and multiply the result by 100.
So, the common size value for licensed content is:
Common size value = (8,500/100,000) x 100 = 0.0848
Therefore, the common size value for licensed content is 0.0848 (rounded to 4 decimals).
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What is the difference of 85.23 and 2.676
Answer:
82.554
Step-by-step explanation:
take 85.23 subtract from 2.676;
= 85.23-2.676
=82.554
How could you count on by 5s or 10s to add 20+6 on a number line?
To add 20 and 6 using a number line, you would start at 20 and count on by 5 once (for 25) and then by 1 once (for 26). Counting on by 10s isn't feasible as 6 isn't a multiple of 10.
Explanation:To add 20 and 6 using counting on by 5s or 10s with a number line, you would start at number 20, then you would progress along the line in increments of 5 until you've added 6. However, since 6 is not a multiple of 5, you would need to count on by 5 once (to get to 25) and then count on by one, one more time (to get to 26). If you were counting on by 10s, you wouldn't be able to, as 6 isn't a multiple of 10.
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what is 5 divided by 1/6
Answer:
30
Step-by-step explanation:
to divide by a fraction, multiply by the reciprocal of it
the reciprocal of 1/6 is 6
5*6=30
Use the remainder theorem to quickly check if (x-3) is a factor of f(x)=2x^3-4x^2-8
Answer:
2x^2 + 4x +2 is questiont and 28 is remainder ok
25% of 48 is what value? 12 23 30 42
Answer:
12 is the correct answer
Step-by-step explanation:
12 is correct ans
The 2000 CDC growth charts were developed using a reference population of infants. A pediatrician looks up one of the charts and finds that the 5th percentile for weights of baby boys at 10-1/2 months is 16.7 pounds. This means that ______of the 10-1/2-month-old baby boys in the reference population weigh 16.7 pounds or less, and ______of these baby boys weigh 16.7 pounds or more.
This means that 5% of the 10-1/2-month-old baby boys in the reference population weigh 16.7 pounds or less, and 95% of these baby boys weigh 16.7 pounds or more.
Percentile WeightThe determination is based on the definition of a percentile. A percentile is a value below which a certain percentage of the data falls. So, in this case, if a weight of 16.7 pounds is at the 5th percentile for 10-1/2-month-old baby boys, then 5% of the baby boys in the reference population have a weight of 16.7 pounds or less. This also means that the remaining 95% of the baby boys in the reference population have a weight of more than 16.7 pounds.
The calculation of percentiles is based on the ranking of the data set. The data is first sorted in ascending order and then divided into 100 equal parts, with each part representing a percentile. The value at each percentile is the value below which a certain percentage of the data falls.
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If the two legs of an isosceles right triangle measure 7 inches which of the following represents the length of its hypotenuse
the length of its hypotenuse will be 7√2 inches.
What is the right-angle triangle?A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.
Given, the two legs of an isosceles right triangle measure 7 inches
Since,
From the Pythagorean theorem:
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
So,
Hypotaneuse² = base² + height²
in our case,
Base = height = 7 inches
Thus,
Hypotaneuse = √(7² + 7²)
Hypotaneuse = 7√2 inches
Therefore, the length of its hypotenuse will be 7√2 inches.
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Find the Pearson coeffiecent of skewness formula and use the SKEW function in Excel to measure the skewness of the following data set: 418, 184, 264, 347, 485, 382
Round all calcuated values to the hundreths.
The value that tells us the skewness of the data that we have here is -0.4273
How to solve for the skewnessThe skewness of the data distribution is the statistic that is used to tell us of the level of asymmetry that is in the data set.
In order to solve for the skewness, we would have to use Microsoft excel
All of values would be entered into the formula
SKEW (418, 184, 264, 347, 485, 382)
The output that it would display can be rounded to -0.427
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Given that x is a hypergeometric random variable with N = 10, n = 3, and r = 6, compute P(x = 0).
x is a hypergeometric random variable, p(x=0) is 0.033.
What is hypergeometric random distribution?Hypergeometric random distribution is a discrete probability distribution that describes k success in n draws without replacement from a finite population size of N that exactly contains K objects.
Given x is a hypergeometric random variable ,
[tex]P(X=k)=\frac{KC_{k} .(N-K)C_{n-k} }{NC_{n} }[/tex]
Here, N=10,n=3,r=6, P(x=0)
By using the above formula we get,
=[tex]\frac{6C_{0} .4C_{3} }{10C_{3} }[/tex]
=[tex]\frac{4}{120}[/tex]
p(x=0) =0.033
Hence, P(x=0) is 0.033, where x is a hypergeometric random variable.
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On the number line below, p represents a number. what is the value of the opposite of that number
Answer:
I believe D.
Step-by-step explanation:
Since the number on the number line is 1 and 2/4, the opposite would be the negative version, -1 and 2/4. Hope this helped!
Bobby purchased land for $6500 in 1989. The value of the land depreciated by 1.6% per year, use an exponential function to find the approximate value of the land in 1999.
Answer: The exponential function to model the value of the land over time t (in years) is given by:
V(t) = 6500 * e^(-0.016t)
So, to find the value of the land in 1999 (10 years after 1989), we can plug in t = 10 into the equation:
V(10) = 6500 * e^(-0.016 * 10) = 6500 * e^(-0.16) = 6500 * 0.8499 = 5524.935
Therefore, the approximate value of the land in 1999 was approximately $5524.935.
Find the values of x and y that make PSZR a kite
The values of 'x' and 'y' which make the quadrilateral PSZR a kite are
4 and 5 respectively.
What is a quadrilateral?A quadrilateral is a closed object in geometry that is created by connecting four points, any three of which are not collinear. There are 4 sides, 4 angles, and 4 vertices in a quadrilateral.
We know a kite is a special type of quadrilateral in which pair of adjacent sides are of equal length.
Therefore, PS = ZS and PR = ZR.
So, 5x - 4 = 3y + 1 and 8y - 4 = 36.
Now, 8y - 4 = 36.
8y = 40.
y = 5.
And hence, 5x - 4 = 3(5) + 1.
5x = 15 + 5.
5x = 20.
x = 4.
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A rectangular vegetable garden will have a width that is 2 feet less than the length area of 48 square feet. If represents the length, then the length can be found by s equation:
x(x - 2) = 48
What is the length, x, of the garden?
The length is
feet.
Answer:
8ft
Step-by-step explanation:
solve equation of x²-2x-48=0
(x-8)(x+6)=0
so x=8 or -6
only 8 is correct
The members of a cooking club are making cakes, which they will sell at a street fair for $8 apiece. It cost $36 for a booth at the fair, and the ingredients for each cake cost $6. At some point, the club members will sell enough cakes so that their sales cover their expenditures. How much will the sales and expenditures be? How many cakes will they have sold? PLEASE ANSWER AS QUICK AS POSSIBLE!!
They need to sell 18 pieces to cover their expenditures (have a profit of zero).
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
here, we have,
How many cakes will they have sold?
We know that the costs are:
$36 for the booth at the fair.
$6 for each piece of cake they sell.
And the revenue is:
$8 for each piece of cake.
So, the profit (the difference between the revenue and the cost) for selling x pieces is:
p(x) = $8*x - $6*x - $36
p(x) = $2*x - $36
We want to find the value of x such that p(x) = 0, then:
0 = $2*x - $36
x = $36/$2
= 18
They need to sell 18 pieces to cover their expenditures (have a profit of zero).
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The figure below was made with a scale of 1 unit =6cm.
Draw the figure with a new scale of 1 unit =2cm.
You can place your figure anywhere on the grid on the right.
The new diagram with a scale factor of 1 unit = 2cm will look the same
as each new grid now represents 2 cm.
What is a scale factor?The scale factor defines a variable in a ratio of two different measurements.
Sometimes drawings of large models are represented in a scale factor of a smaller unit.
Given, A drawing represented by a scale factor of 1 unit = 6cm,
Where every grid unit represents 6 cm.
The new drawing model will look exactly the same as now each grid unit represents 2cm feet.
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Tessa did 3/5 of her homework problems on Saturday. On Sunday, she did 1/3 of what was left plus the last 4 problems. How many problems did Tessa do over the weekend?
The total problems assigned over the weekend are 15.
Let's assume the total number of problems assigned = x.
Given that problems solved on Saturday is 3/5 of her total questions. This is represented as:
(3/5)x
The remaining problems are:
1 - (3/5)x = (2/5)x
On, Sunday the problems solved are 1/3 of the remaining. This is represented as:
(1/3)*(2/5)x = (2/15)x
The remaining problems are:
(1 - 1/3)(2/5 x) = (2/3) * (2/5)x = 4/15x
Given that the final number of problems remaining are 4, that is:
(4/15)x = 4
x = 4 (15/4)
x = 15
Hence, the total problems assigned over the weekend are 15.
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Carpet City charges $5 per square foot for a type of carpet. They charge an additional $95 for installation. Westside Carpet also charges an installation fee and a constant rate for the same carpet. The table shows the cost including installation for various amounts of the carpet at Westside Carpet. Which store charges more per square foot for the carpet?
Answer:
Step-by-step explanation:
Answer is A
3250 is the total cost
$95 is the cost of installation
Cost for 642 square feet
=3250 - 95=3155
Cost of installation per square feet = 3155/642=4.91
Cost of Carpet City per square feet = $5
Cost of Westside carpet per square feet = $4.91
So Carpet City charges more
You have 125% of the tickets required for a souvenir. What fraction of the required tickets do you have? Do you need more tickets for the souvenir? Explain
You have a fraction of 5/4 of the required tickets. You don't need more tickets for the souvenir.
What are Fractions?Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.
Here, a is called the numerator and b is called the denominator.
Any number can be expressed as fractions.
Given that,
Percentage of tickets you have = 125%
125% can also be written as 125 / 100
125% = 125 / 100
= (25 × 5) / (25 × 4)
= 5/4, which is the required fraction.
Actual number of tickets needed = 100%
You have 25% = 25/100 = 1/4 more tickets for the souvenir.
So you don't need more tickets.
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The number of chirps that crickets make is closely related to the temperature in after environment. When the temperatures between 12 and 38°C ,we can tell the temperature by counting the number of chirps.
Answer:
65
Step-by-step explanation:
cuz I said so
–1/2 (12x – 2) = –6x – 1
The given function has no solution it will be false for all real values of x.
What is simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
Given a function –1/2 (12x – 2) = –6x – 1
Simplifying the given function using the rule of PEMDAS
=> –1/2 (12x – 2) = –6x – 1
multiply by -2 on both sides
=> 12x - 2 = 12x +2
==> 4 = 0
Therefore, the given function has no solution it will be false for all real values of x.
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Car A travels at 55 miles per hour and Car B travels at a greater speed of x miles per hour. Choose the expression that represents how many miles farther Car B travels in two hours.
Answer: Let's assume that Car B travels at a speed of x miles per hour. The expression that represents how many miles farther Car B travels in two hours compared to Car A is:
(x - 55) * 2
This expression calculates the difference in speed between Car B and Car A (x - 55) and then multiplies it by the number of hours (2) to get the total distance Car B travels farther than Car A in two hours.
Step-by-step explanation:
PLEASE HELP LIMITED TIME! VERY URGENT.
Look at the added image.
Assign the following correlation coefficients, r-values, to the appropriate graph:
-0.1,
-0.75,
0.88,
0.43
The correlation coefficient, r, for each of the graph is:
Graph 1: 0.88.
Graph 2: 0.43
Graph 3: -0.75
Graph 4: -0.1.
How to Estimate the Correlation Coefficient, R-value, from a Scatter Plot?You can visually examine the graph to determine the direction and strength of the relationship between the two variables.
If the points tend to form a straight line sloping upwards to the right, the correlation is positive, indicating that the two variables are positively related (as one variable increases, so does the other). If the points tend to form a straight line sloping downwards to the right, the correlation is negative, indicating that the two variables are negatively related (as one variable increases, the other decreases).
The strength of the correlation is determined by how tightly the points are clustered around the line. If the points are tightly clustered around the line, the correlation is strong. If the points are scattered more widely, the correlation is weak.
Once you have determined the direction and strength of the relationship, you can estimate the correlation coefficient using a rough approximation. For example, if the correlation is positive and the points are tightly clustered around the line, the correlation coefficient is likely to be close to +1. If the correlation is negative and the points are widely scattered, the correlation coefficient is likely to be close to -1. If there is no clear relationship, the correlation coefficient is likely to be close to 0.
Therefore:
Graph 1 has an r-value of 0.88.
Graph 2 has an r-value of 0.43 because the points are moderately farther apart from each other and slopes upwards.
Graph 3's r-value would be -0.75 because the points are closer to each other and slopes downwards to the left.
Graph 4's r-value would be -0.1.
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Write an equation to represent each function. Input (x) Output (y) 1 2 6 12 3 18 24 5 30
One possible equation that represents the function is:
y = 2x, which can also be written as y = 2 * x.
Here's how the function values correspond to the equation:
When x = 1, y = 2 * 1 = 2
When x = 2, y = 2 * 2 = 4
When x = 3, y = 2 * 3 = 6
When x = 5, y = 2 * 5 = 10
And so on.
Note that there are other equations that could also represent the same function, but y = 2x is one possible option.
Answer:
is there a picture I can see
java given that the variables x and y have already been declared and assigned values, write an expression that evaluates to true if x is non-negative and y is negative.
The expression that could be used to check if x is non-negative and y is negative is (x >= 0) && (y < 0).
This expression uses the logical operator "&&", which requires both conditions to be true in order for the overall expression to evaluate to true.
The first condition is to check if x is non-negative, which can be done using the greater than or equal to operator (x >= 0).
The second condition is to check if y is negative, which can be done using the less than operator (y < 0). If both conditions are true, then the overall expression will evaluate to true.
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An expression that evaluates to true if x is non-negative and y is negative is x >= 0 && y < 0.
This expression evaluates to 'true' if x is greater than or equal to 0 and y is less than 0. In other words, if x is non-negative and y is negative, this expression will evaluate as true. The '&&' operator represents a logical "and" operation, which returns true only if both conditions are true. The ">=" operator checks if x is greater than or equal to 0, and the '<' operator checks if y is less than 0.
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