The size of the male Cuban tree frog is 2 2/5 inches.
Given that, the male Cuban tree frog is about 2/5 the size of the female Cuban tree frog. The average size of the female Cuban tree frog is 6 inches.
We need to find the size of the male Cuban tree frog.
How to multiply fractions with whole numbers?Multiplying fractions with whole numbers is an easy concept. We just need to convert the whole number into a fraction by writing 1 as the denominator and writing the whole number as the numerator. Then it is multiplied by the given fraction. After multiplying these, the final result should be in the form of a proper fraction or a mixed fraction.
Now, 2/5 × 6
=12/5
=2 2/5
Therefore, the size of the male Cuban tree frog is 2 2/5 inches.
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Make the indicated trigonometric substitution in the given algebraic expression and simplify. Assume that [tex] \frac{ \sqrt{x^2-36} }{x} [/tex] 0 ≤ θ < π/2.
x=6secФ
Solve for B
6=10B+12C
What is the next number 3 4 6 9 13 18 24
The Martin family's truck gets an average of 25 miles per gallon. Predict how many miles they can drive using 7 gallons of gas.
what is the solution to this equation?
ds/dt=cost + sint where s(\pi)=1
4 options but only 3 have sea views what fraction has sea view
Pamela's age is two times Jiri's age. The sum of their ages is 63 . What is Jiri's age?
Determine an equation for a function that has a slope of -5 and crosses the x-axis at (3,0)
To find the equation of the line with a slope of -5 that crosses the x-axis at (3,0), use point-slope form to get y = -5x + 15, which is the required equation.
Explanation:To determine an equation for a function that has a slope of -5 and crosses the x-axis at (3,0), you can use the point-slope form of a linear equation: y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
Here, the slope m is -5 and the point on the line is (3,0). Plugging these values into the point-slope form, we get:
y - 0 = -5(x - 3)
This simplifies to:
y = -5x + 15
This equation represents a line with a slope of -5 that crosses the x-axis at the point (3,0), meeting all the conditions given in the question.
A retiree invests $5,000 in savings plan that pays 4% per year. What will the account balance be at the end of the first year ?
A particular restaurant can legally have only 150 people in it at one time. The tables in the restaurant can seat 4 people at a time. The number of tables, t, in the restaurant can be represented by the inequality 4t < 150. What is the maximum number of tables the restaurant can have?
The weight of water is 62 1/2 lb per cubic foot. What is the weight of 1 1/9 cubic feet of water?
Final answer:
To determine the weight of 1 1/9 cubic feet of water, convert the mixed number to an improper fraction and multiply by the weight per cubic foot, resulting in approximately 77.16 pounds.
Explanation:
The student is asking to calculate the weight of 1 1/9 cubic feet of water given that the weight of water is 62 1/2 lb per cubic foot. To find the weight of the water, we multiply the volume by the weight per unit volume:
Convert 1 1/9 to an improper fraction: 1 1/9 = 10/9.
Multiply 10/9 cubic feet by 62.5 lb/ft³ (weight of water per cubic foot).
Calculate: (10/9) × 62.5 = 694.44/9 ≈ 77.16 lb.
Hence, the weight of 1 1/9 cubic feet of water is approximately 77.16 pounds.
Terry added 3 and 7 he got the sum of 9 his answer is is not correct described how Terry can find the correct sum
Height
Salary
64
91
65
94
66
88
67
103
69
77
70
96
72
105
72
88
74
The following data set presents the heights of 12 male law school classmates whose law school examination scores were roughly equal. It also gives their annual salaries 5 years after graduation. Each of them went into corporate law. The height is in inches and the salary in units of $1,000.
Height
Salary
64
91
65
94
66
88
67
103
69
77
70
96
72
105
72
88
74
122
74
102
75
90
76
114
(a) Do the above data establish the hypothesis that a lawyer’s salary is related to his height? Use the 5 percent level of significance.
(b) What was the null hypothesis in part (a)?
The analysis aims to see if there's a correlation between lawyers' height and salary, using statistical tests to determine if the null hypothesis—which states there is no relationship—should be rejected at a 5% significance level.
Explanation:The purpose of this analysis is to discover whether there is a statistical relationship between the height of male lawyers and their salary five years after graduating from law school. To determine this, we can utilize statistical methods such as correlation and regression analysis. However, it should be noted that merely finding a correlation does not establish causation, and any findings would require a more robust analysis to conclude that height is a determinant factor in salary.
In part (a), if we were to perform the statistical test, we would calculate the correlation coefficient to establish the strength and direction of the relationship between height and salary. If the p-value from this test is less than the level of significance (5%), the null hypothesis would be rejected, suggesting that there is a relationship between height and salary.
The null hypothesis in part (a) states there is no relationship between the height of lawyers and their salary. Specifically, it asserts that any observed association in the sample data results from random variation and does not reflect the population of corporate lawyers.
How many times do you need to multiply by ten to get from 0.3637 to 363.7
Brandy wants to buy a digital camera that costs $300. Suppose she saves $15 each week. In how many weeks will she have enough money for the camera?
It will take Brandy 20 weeks to save enough money to buy the digital camera.
To find out how many weeks it will take for Brandy to save enough money for the camera, we can set up an equation:
Let x be the number of weeks it will take for Brandy to save enough money.
$15 * x = $300
Solving for x:
x = $300 / $15
x = 20
Therefore, it will take Brandy 20 weeks to save enough money to buy the digital camera.
If net income is $115,000 and interest expense is $30,000 for 2012 what is the rate earned on total assets for 2012 (round percent to one decimal point)?
How many solutions exist for the given equation? 12x+1=3(4x+1)-2
a car is purchased for 26,000 after each year the resale decrease by 35% what will the resale value be
The price of a notebook was
$3.35
yesterday. Today, the price fell to
$3.10
. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
1. An average of 50,000 people visit Riverside Park each day in the
summer. The park charges $21.00 for admission. Consultants predict
that for each $1.00 increase in the entrance price, the park would lose
an average of 3,500 customers per day.
(a) Express the daily revenue from ticket sales, R as a function of
the number of $1.00 price increases, x.
(b) What ticket price(rounded to nearest cent) maximizes the revenue
from ticket sales?
(c) What ticket price will lead to no revenue?
Determine the ticket price that leads to zero revenue by setting the equation equal to zero and solving for the variable which is $17.50
Explanation:To solve this problem, we first need to express the revenue from ticket sales as a function of the number of $1.00 price increases. We can use the formula R = (50,000 - 3,500x) * (21 + x), where R represents the daily revenue and x represents the number of price increases.
N= Number of visitors and $P = price $R = Revenue
N = 50,000 - (P-15)*2500
R = N*P = 50,000P -2,500P^2 + 15*2500P
R = 87,500P -2,500P^2
dR/dP = 87,500 - 5000P = 0 for max
P = $17.50 for max revenue
Next, we can find the ticket price that maximizes the revenue by finding the vertex of the quadratic equation. The ticket price that leads to no revenue can be found by setting the daily revenue equal to zero and solving for x.
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In the following distribution of the variable semesters completed, which is the mode: 4, 3, 1, 0, 3, 3, 4, 0, 3, 2?
Ron Co. sold sweatshirts ($20) and baseball caps ($10). If total sales were $2,860 and people bought 6 times as many sweatshirts as caps, how many of each were sold?
To find the number of baseball caps and sweatshirts sold, we can set up an equation using the given information and solve for the variables. The solution shows that 22 baseball caps and 132 sweatshirts were sold.
Explanation:Let's solve this problem step by step:
Let x represent the number of baseball caps sold.Since people bought 6 times as many sweatshirts as caps, the number of sweatshirts sold would be 6x.The total sales revenue can be calculated by multiplying the price of each item by the number of items sold. So, the equation becomes: 10x + 20(6x) = 2860.Simplifying the equation gives us 10x + 120x = 2860.Combining like terms, we get 130x = 2860.Dividing both sides of the equation by 130, we find that x = 22. So, 22 baseball caps were sold.Since people bought 6 times as many sweatshirts as caps, the number of sweatshirts sold would be 6 * 22 = 132.Therefore, 22 baseball caps and 132 sweatshirts were sold.
The problem is solved by setting up equations based on the given information. Ron Co. sold 132 sweatshirts at $20 each and 22 baseball caps at $10 each to make a total of $2,860 in sales.
Explanation:To solve the problem, let's define the variables representing the number of sweatshirts and caps sold. Let's say 's' equals the number of sweatshirts and 'c' equals the number of baseball caps.
We are given two pieces of information:
The price of a sweatshirt is $20, and the price of a cap is $10. The total sales can be expressed as the sum of the sales from sweatshirts and caps, which gives us the equation 20s + 10c = 2860.
Using the information that s = 6c, we can substitute 6c for s in the total sales equation to get 20(6c) + 10c = 2860. Simplifying this equation, we get 120c + 10c = 2860, which leads to 130c = 2860. Dividing both sides by 130 gives us c = 22.
Now, we can find the number of sweatshirts sold by substituting c into the equation s = 6c. So, s = 6(22) = 132.
Therefore, Ron Co. sold 132 sweatshirts and 22 baseball caps.
what is 694 divided by 41 and what is the remainder please help thank you
We can use long division in finding the remainder.
Place the divisor which is 41, outside the long division sign, and 694 under the long division sign as shown in the diagram.
41 goes into 694 16 times.
Write the 16 on top of the long division sign.
Multiply the 16 by 41, to obtain 656
Write the 656 below the 694 as in the diagram.
Subtract 656 from 694 to obtain 38.
Since 41 is more than 38 , we cannot proceed.
Hence,
[tex]\frac{694}{41}=16\:\:Remainder\:\:38[/tex]
Therefore the remainder is 38
The quotient is 16, and the remainder is 38.
We have,
To find the quotient and remainder when dividing 694 by 41, we can perform the division and observe the results.
Now,
41 x 16 = 656
And,
694 - 656 = 38
This means,
694 divided by 41 is equal to 16 with a remainder of 38.
Therefore,
The quotient is 16, and the remainder is 38.
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Tell whether the two ratios form a proportion. Explain. 25/80 and 5/16
Aurelio can choose between 3 pairs of pants and 4 shirts .How many different outcomes are in the sample space
Answer:
12
Step-by-step explanation:
One integer is 6 less than another . the sum of their squares is 50 . find the integers
If u bring 10 empty bottles to the bottle shop, the bottle shop will change 10 empty bottles to 1 drink. If u bring 100 bottles to the shop. How many drinks will you get?
By bringing 100 bottles to the shop, you will receive 10 drinks.
The students question relates to a mathematical conversion problem, where empty bottles are exchanged for drinks at a bottle shop. If the conversion rate is 10 empty bottles for 1 drink, then by bringing 100 bottles, we can set up a simple division:
Number of bottles: 100
Conversion rate: 10 bottles per drink
To find out how many drinks you can get for 100 bottles, we divide the total number of bottles by the conversion rate:
Divide 100 (bottles) by 10 (bottles per drink).
100 / 10 = 10
Therefore, by bringing 100 bottles to the shop, you will receive 10 drinks.
I need to find the length x, to the nearest whole number
2.8 repeating as a fraction
Two algebraic expressions separated by an equal symbol in between them and with the same value are called equations.
Example = 2 x +4 = 12
here, 4 and 12 are constants and x is variable
A collection of constants, variables connected using one or more arithmetic operator is called an expression
Example = 4 y, 3 x+4.
Consider an equation to prove 2.8 as a repeating fraction.
Let x = 2.8 repeating
Multiply both sides of the equation by 10 to get a whole number.
10 x = 28.8 repeating
Next, we subtract the original equation from the multiplied equation to eliminate the repeating part:
10 x - x = 28.8 repeating - 2.8 repeating
9 x = 26
Now, we can solve for x by dividing both sides of the equation by 9
x = [tex]\dfrac{26}{9}[/tex]
Therefore, the decimal number 2.8 repeating can be expressed as the fraction [tex]\dfrac{26}{9}[/tex].
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41 divided by 278.8=