Final answer:
The correct answer is a ratio of 4 to 7, representing the ratio of female penguins to the total number of penguins in the zoo.
Explanation:
We're given that there are 3 male penguins for every 4 female penguins in a zoo.
To find the ratio of females to the total number of penguins, we first have to add up the total number of penguins, which is 3 males + 4 females = 7 penguins in total.
Now, we can express the ratio of females to the total number of penguins. There are 4 females out of 7 total penguins, so the ratio is 4 females to 7 penguins in total.
Therefore, the correct answer to the student's question is 4 to 7.
Simplify 1/x-10 divided by 9x/x^2-9x-10
Answer:(x+1)/9x
Step-by-step explanation: Hope this helps
If tan theta = -4/3 in quadrant II, what is cos theta?
A. -4/5
B. 3/5
C. 4/5
D. -3/5
Answer:
The answer is:
D. -3/5
What are the roots of the equation y=x^2 -5x-24
A jar of 57 coins contains only dimes and quarters. The value of all the coins in the jar is $10.05. How many dimes are in the jar?
The dimes are 28 dimes
what is Algebra?Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
Given:
total coins = 57
So,
D + Q = 57
D= 57 - Q....(1)
0.10D + 0.25 Q = 10.05
Using (1), we get
0.10(57 - Q) + 0.25Q= 10.05
5.7 - 0.10Q + 0.25Q = 10.05
0.15Q = 4.35
Q= 29
So, dimes = 57- 29= 28 dimes
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John translated parallelogram ABCD using the rule (x,y)→(x+3, y−2). If angle A is 110° and angle B is 70°, what is the degree measurement of angle A'?
Answer:
The correct answer is B. 110.
On a floor plan drawn at a scale of 1:100, the area of a rectangular room is 30
c. what is the actual area of the room?
Write [tex](2a)^3[/tex] without exponents.
Graph the ellipse with equation x squared divided by twenty five plus y squared divided by four = 1.
what is x
3x = 0.5x2
The formula F=9/5(K−273.15)+32
converts a temperature from kelvin K to degrees Fahrenheit F
a. Solve the formula for K
The formula for K in terms of F is [tex]K = \frac{5}{9} (F - 32) + 273.15[/tex]
The given expression:
[tex]F = \frac{9}{5} (K - 273.15) + 32[/tex]
To find:
the formula for KThe formula for K is obtained by making K the subject of the formula as shown below;
[tex]F = \frac{9}{5} (K - 273.15) + 32\\\\subtract \ 32 \ from \ both \ sides \ of \ the \ equation\\\\F - 32 = \frac{9}{5} (K - 273.15)\\\\multiply \ both\ sides \ by \ 5\\\\5(F - 32) = 9(K - 273.15)\\\\divide \ both\ sides \ by \ 9\\\\\frac{5}{9} (F - 32) = K - 273.15\\\\add \ 273.15 \ to \ both\ sides \ of \ the \ equation\\\\\frac{5}{9} (F - 32) + 273.15 = K\\\\[/tex]
Thus, the formula for K in terms of F is [tex]K = \frac{5}{9} (F - 32) + 273.15[/tex]
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Approximately 31,000 citizens of a country died in automobile accidents in 2015 express this toll in deaths per hour
Answer:
4 deaths per hour
Step-by-step explanation:
We have been given that approximately 31,000 citizens of the country died in automobile accident in 2015.
Since we know that 1 year = 365 days,
1 day = 24 hours
In one year there are total hours = 365 × 24 = 8,760 hours
Death per hour = [tex]\frac{31000}{8760}[/tex] = 3.5388 ≈ 4
Therefore, the toll in deaths per hour is approximately 4 in 2015.
4x + 2(x – 3) = 4x + 2x – 11 Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points) Part B: Name one property you used to solve this equation. (4 points)
Final answer:
The given equation has no solution, as simplifying both sides leads to the false statement -6 = -11. The number of solutions is zero, and the Distributive Property was used to solve the equation.
Explanation:
To solve the equation 4x + 2(x – 3) = 4x + 2x – 11, follow these steps:
Expand the left side of the equation: 4x + 2x - 6.
Combine like terms: 6x - 6.
Since the left and right side both have 4x, we can cancel out 4x from both sides, leaving 2x - 6 = 2x - 11.
Subtract 2x from both sides to get -6 = -11, which is a contradiction.
There is no solution to this equation because we arrived at a false statement. Therefore, the number of solutions is zero.
Part B: The property I used to solve this equation is the Distributive Property when expanding 2(x - 3).
NEED ASAP
Which linear inequality is represented by the graph?
y ≤ 1/3x − 1
y ≥ 1/3x − 1
y < 3x − 1
y > 3x − 1
Answer:
[tex]y\geq \frac{1}{3}x -1[/tex]
Step-by-step explanation:
To find linear inequality, first we find the equation of the line.
LEts pick two points (3,0) and (0,-1)
To get equation of a line [tex]y=mx+b[/tex], use slope formula to find slope m
[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{0+1}{3-0} =\frac{1}{3}[/tex]
y intercept is (0,-1) . so b=-1
The equation of the line becomes
[tex]y=\frac{1}{3}x -1[/tex]
now we look at the shaded region.
the graph is shaded at the top and also we have solid line . so we use >= symbol
[tex]y\geq \frac{1}{3}x -1[/tex]
A fence is to be installed around a rectangular field. the field's perimeter is 204204 feet. find the dimensions of the field if the length of the field is 8 feet more than the width.
The solution is, the dimensions of the field if the length of the field is 8 feet more than the width is:
width = 51,047
length = 51,055
What is perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.
Here, we have,
given that,
A fence is to be installed around a rectangular field.
the field's perimeter is 204204 feet.
now, we have,
204204 - 16 = 204188
we get,
204188 / 4 = 51,047
so, we get,
width = 51,047
length = 51,055
Hence, The solution is, the dimensions of the field if the length of the field is 8 feet more than the width is:
width = 51,047
length = 51,055
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use any method to solve the equation. If necessary, round to the nearest hundredth. 11x^2=8
Answer:
x = + 0.85 , -0.85
Step-by-step explanation:
Given : 11x² = 8.
To find : use any method to solve the equation. If necessary, round to the nearest hundredth.
Solution : We have given that : 11x² = 8.
First we divide both sides by 11,
x² = [tex]\frac{8}{11}[/tex].
Now taking square root both sides .
x = [tex]\sqrt{\frac{8}{11}}[/tex].
x =± 0.8528.
Therefore, x = + 0.85 , -0.85
Two pools are being filled with water. To start, the first pool contains 922 liters of water and the second pool contains 1300 liters of water. Water is being added to the first pool at a rate of 33.75 liters per minute. Water is being added to the second pool at a rate of 20.25 liters per minute.
After how many minutes will the two pools have the same amount of water?
How much water will be in each pool when they have the same amount?
After 28 minutes, both pools will have the same amount of water, which will be 1653 liters in each pool.
Explanation:To find out after how many minutes the two pools will have the same amount of water, we can set up an equation where the volume of water in the first pool plus the water added over time equals the volume of water in the second pool plus the water added to it over the same period.
Let x represent the number of minutes after which both pools will have the same amount of water. The equation can be expressed as:
922 + 33.75x = 1300 + 20.25x
To solve for x, we subtract 20.25x from both sides:
922 + 13.5x = 1300
Now, subtract 922 from both sides to isolate the term with x:
13.5x = 378
Divide both sides by 13.5 to solve for x:
x = 28
So, it will take 28 minutes for both pools to have the same amount of water.
To calculate how much water will be in each pool at that time, we can multiply the rate by the number of minutes and add the initial amount of water for either pool:
For the first pool: 922 + (33.75 * 28) = 1653 liters
For the second pool: 1300 + (20.25 * 28) = 1653 liters
Therefore, after 28 minutes, each pool will contain 1653 liters of water.
HELP ASAP PLEASE QUESTION IS
Simplify the expression
The probability that a flipped coin will show heads on four consecutive flips is
How do you do this problem?
A party rental company has chairs and tables for rent. The total cost to rent 5 chairs and 3 tables is $25 . The total cost to rent 2 chairs and 6 tables is $40 . What is the cost to rent each chair and each table?
The cost to rent each chair is $5, and the cost to rent each table is also $5.
Explanation:This problem can be solved using the method of substitution in solving systems of linear equations. We can set up two equations based on the information given: 5C + 3T = 25 and 2C + 6T = 40 where C represents the rental cost of each chair and T represents the rental cost of each table.
When we simplify the second equation, we get C + 3T = 20. We can then substitute this into the first equation, which gives us 5(C + 3T) = £25. Solving these equations gives us the cost to rent each chair (C) as $5 and each table (T) as $5.
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Lou has 3 over 4 of an hour to do his math homework, play video games and help with dinner. If he splits his time equally between the three activities, how much time will he spend on each?
_____ of an hour
3/4 divided by 3
3/4 *1/3 = 3/12 = 1/4
How many ways are there to select 7 countries in the united nations to serve on a council if 1 is selected from a block of 56, 3 are selected from a block of 63 and 3 are selected from the remaining 70 countries?
If 3 consecutive integers sum to 63, the largest of the 3 = ?
This problem states that the sum of 3 consecutive integers is 63 and it asks us to find the largest integer.
Three consecutive integers can be represented as followed.
X → first integer
X + 1 → second integer
X + 2 → third integer
Since the sum of our three consecutive integers is 24, we can write an equation.
X + X + 1 + X + 2 = 63
We can simplify our equation on the left and it will read...
3x + 3 = 63 -3 -33x = 60 ÷3 ÷3 ← divide both sides by 3X = 20Largest integer = X + 220 + 2 = 22Largest integer = 22If i want to be a real boy whats the equation?
Answer: 15²=225
225-(7.5²•3.14)=48.375 or to the nearest form 48.38.
Step-by-step explanation: In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equals sign "=".
You need to buy 5 notebooks for your classes at school. Each notebook costs $2.79. What is the total costs of 5 notebooks Before tax?
multiply 2.79 x 5
2.79*5 = 13.95 before tax
What is the point-slope equation of a line with slope -4 that contains the point (-2, 7)?
A. y + 7 = -4(x + 2)
B. y + 7 = -4(x - 2)
C. y - 7 = -4(x - 2)
D. y - 7 = -4(x + 2)
How to find where the tangent line is horizontal?
Final answer:
To determine where the tangent line to a function is horizontal, find the derivative of the function, set it equal to zero, and solve for 'x'. This value of 'x' is where the slope is zero, indicating a horizontal tangent line.
Explanation:
How to Find Where the Tangent Line is Horizontal
To find where the tangent line to a curve is horizontal, you need to determine where the slope of the tangent (which is the derivative of the function) is zero. This involves calculating the derivative of the given function and solving for the value of 'x' where this derivative equals zero.
For example, if we have a function y = 4x - x², we first find its derivative: dy/dx = 4 - 2x. Setting this derivative equal to zero gives us 4 - 2x = 0. Solving for x gives us x = 2. This is the value of x where the tangent line is horizontal.
If we are given a graph, like in a velocity-time graph, a horizontal tangent indicates a moment where the velocity is zero, signifying a change in direction of the particle. At such points, we can see that the slope of the tangent line is zero, meaning it is a horizontal tangent.
Find x and the measures of the indicated parts.
BC and AC
Jordan is cutting a 2 meter by 1 1/4 meter piece of rectangular paper into two pieces along its diagonal. what is the area of each of the pieces?
area = 1/2 * b * h=
1/2 * 2 * 1 1/4 = 1 1/4 square meters each
Answer: area = 1/2 * b * h=
1/2 * 2 * 1 1/4 = 1 1/4 square meters each