In a zoo, there are 3 male penguins for every 4 female penguins. What is the ratio of females to the total number of penguins at the zoo? 4 to 7 3 to 7 4 to 3 4 to 1

Answers

Answer 1
4 to 7 because the total is 28 and females is 16. 16:28 simplified is 4:7
Answer 2

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.


Related Questions

Simplify 1/x-10 divided by 9x/x^2-9x-10

Answers

In fractional form, I think this is written as

[tex] \frac{1}{x-10} / \frac{9x}{ x^{2} -9x-10} [/tex]

When dividing, the first term is the dividend, the second term is the divisor and the answer is the quotient. When you divide fractions, you multiply the dividend with the reciprocal of the divisor. In this case

[tex] \frac{1}{x-10} * \frac{x^{2} -9x-10}{9x } [/tex]

The answer is 

[tex] \frac{ x^{2} -9x-10}{9 x^{2} -90x} [/tex]

Furthermore, we can simplify the terms through factoring, The numerator could be factored into (x+1)(x-10). The denominator could be factored to 9x(x-10). Since the term (x-10) is common, you can cancel them to get to the final answer which is

(x+1)/9x

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

Answers

[tex]\bf tan(\theta)=\cfrac{opposite}{adjacent}\qquad \qquad cos(\theta)=\cfrac{adjacent}{hypotenuse}\\\\ -------------------------------\\\\ tan(\theta )=-\cfrac{4}{3}\cfrac{\leftarrow opposite}{\leftarrow adjacent}[/tex]

notice, the tangent has a negative sign, for that to happen, either the numerator or denominator must be negative, who may that be? well, we know the angle is in the II quadrant, on the II quadrant, the cosine or x-coordinate (adjacent side) is negative, so, is the adjacent.

that means, the opposite side is 4 and the adjacent one is -3

well, let's find the hypotenuse

[tex]\bf \textit{using the pythagorean theorem}\\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}\qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{(-3)^2+4^2}\implies c=\sqrt{25}\implies \boxed{c=5}\\\\ -------------------------------\\\\ cos(\theta)=\cfrac{adjacent}{hypotenuse}\qquad \qquad cos(\theta )=\cfrac{-3}{5}[/tex]

bear in mind that, the square root will give use +/- roots, however, in the case of the hypotenuse, is just the radius unit, thus is never negative.

Answer:


The answer is:

D. -3/5

What are the roots of the equation y=x^2 -5x-24

Answers

Factor
(x-8)(x+3)

Check:
-8+3=-5
-8*3=-24

Use ZPP
x-8=0
x=8

x+3=0
x=-3

Final answer: x=-3, x=8

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?

Answers

the amount of dimes in the jar is 28!!!!!!!!!! extra info: amount of quarters is 29 q

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

Learn more about this concept here:

https://brainly.com/question/24913044

#SPJ2

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'?

Answers

Answer: 110 degrees

Angle measurements are preserved when translations happen. Shifting a figure will not change the angle. So because angle A = 110 degrees, this means angle A' = 110 degrees as well. 

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?

Answers

Assume that the dimensions of the room in the plan are a (width ) by b (length),

such that a*b=30.

Since the scale is 1:100, a represents 100a, and b represents 100b.

So the actual dimensions are 100a by 100b.

The area is 100a*100b=a*b*10,000=30*10,000=300,000 (square units)



Answer:  300,000 (square units)


Write [tex](2a)^3[/tex] without exponents.

Answers

hello ;
(2a)^3 =(2)^3 (a)^3 = 8(a)^3
(2a)³ = 2³a³ = 8a³ = 8aaa

Graph the ellipse with equation x squared divided by twenty five plus y squared divided by four = 1.

Answers

[tex]\bf \textit{ellipse, horizontal major axis}\\\\ \cfrac{(x-{{ h}})^2}{{{ a}}^2}+\cfrac{(y-{{ k}})^2}{{{ b}}^2}=1 \qquad \begin{cases} center\ ({{ h}},{{ k}})\\ vertices\ ({{ h}}\pm a, {{ k}})\\ \textit{major axis}\ a+a\\ \textit{minor axis}\ b+b \end{cases} \\\\\\ \cfrac{x^2}{25}+\cfrac{y^2}{4}=1\implies \cfrac{(x-0)^2}{5^2}+\cfrac{(y-0)^2}{2^2}=1\quad \begin{cases} h=0\\ k=0\\ a=5\\ b=2 \end{cases}[/tex]

thus, check the picture below.

what is x
3x = 0.5x2

Answers

Assuming that x2=x^2, we can multiply both sides by 2 (separating x^2) to get 6x=x^2. Next, we can divide both sides by x to get 6=x (we do this to separate x)



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

Answers

Just subtract 32, then divide by 9/5 (or multiply by the reciprical) then add 273.15.
K=5/9(F-32)+273.15

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 K

The 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]

Learn more here: https://brainly.com/question/15469690

Approximately 31,000 citizens of a country died in automobile accidents in 2015 express this toll in deaths per hour

Answers

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)

Answers

A.

4x + 2(x – 3) = 4x + 2x – 11
4x + 2x - 6 = 4x + 2x - 11
6x - 6 = 6x - 11
-6 = -11

since -6 is not equal to -11, so there's no solution

B. Distributive property 

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

Answers

The slope is 1/3. We know this because the x value increases by 3 each time the y value increases by 1. Slope is always rise over run. It is more than or equal to because the shaded part is above the line.
Answer:B

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.

Answers

204204 - 16 = 204188
204188 / 4 = 51,047

width = 51,047
length = 51,055

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

Learn more about perimeter here:

brainly.com/question/397857

#SPJ2

use any method to solve the equation. If necessary, round to the nearest hundredth. 11x^2=8

Answers

11x^2 = 8
x^2 = 8/11
x = +/- sqrt (8/11)

x =  0.85 , -0.85

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?

Answers

Final answer:

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

Answers

i think its 244 ? i dont remember this stuff once you hit geometry you forget alot
8*16=128
9*12=108
128+108=236
236 is the answer

Simplify the expression

Answers

The answer is D, I'm 95% sure, double check just in case
[tex]4 \sqrt{6}+5 \sqrt{6}=(4+5) \sqrt{6}=9 \sqrt{6} [/tex]

D.

The probability that a flipped coin will show heads on four consecutive flips is

Answers

Probability is the study of chances or likelihood with the use of statistics. Probability is always expressed as a part of the whole, thereby, in fraction or percentages. The part stands for the number of times that event could happen as reflected in your statistics by gathering data. For repeated trials that only has two outcomes such as flipping of the coin, there is an equation for it:

n!/r!(n - r)! * p^(n-r)*q^r, where

n is the number of total trials
r is the number of success in the trials
p is the probability of the an event happening in one trial
p is the probability of the an event not happening in one trial

In here there are 4 flips, so n=4. If you want to find how many heads in 4 flips, r=4 consecutive heads. Then, p = 1/2 because it could either be a head or a tail, while q=1/2 because p+q = 1. Substituting the values:

4!/4!(4 - 4)! * (0.5)^(4-4)*(0.5)^4 = 1/18 or 6.25%

How do you do this problem?

Answers

[tex]\bf \cfrac{\frac{a}{b}}{\frac{c}{{{ d}}}}\implies \cfrac{a}{b}\cdot \cfrac{{{ d}}}{c}\\\\ -------------------------------\\\\ \cfrac{\frac{10}{9}}{\frac{8}{9}}\implies \cfrac{10}{\underline{9}}\cdot \cfrac{\underline{9}}{8}\implies \cfrac{10}{8}\implies \cfrac{5}{4}[/tex]

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?

Answers

Final answer:

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.

Learn more about Systems of Linear Equations here:

https://brainly.com/question/20379472

#SPJ12

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


Answers

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?

Answers

[tex]56\cdot63C3\cdot70C3=\\\\ 56\cdot\dfrac{63!}{3!60!}\cdot\dfrac{70!}{3!67!}=\\\\ 56\cdot\dfrac{61\cdot62\cdot63}{2\cdot3}\cdot\dfrac{68\cdot69\cdot70}{2\cdot3}=\\\\ 121,731,687,840 [/tex]

If 3 consecutive integers sum to 63, the largest of the 3 = ?

Answers

x+(x+1)+(x+2)=63
3x+3=63
3x=60
x=20
Consecutive integers are: 20, 21, 22
Answer: 22

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 = 22

If i want to be a real boy whats the equation?

Answers

15²=225
225-(7.5²•3.14)=48.375 or 48.38 :)

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?

Answers

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)

Answers

point slope form is
y - y1 = m(x - x1)

m = -4
(-2, 7)

y - 7 = -4(x + 2)

answer is D

How to find where the tangent line is horizontal?

Answers

  hello : 
the tangent line is horizontal when the slope = zero.....(f'(x) =0)

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

Answers

x is 3 bc is 6 ac is 12
you can make a proportion:
5÷10=6÷(x+3+9)
and then find ac=12 then find the values of x and bc

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?

Answers

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

Other Questions
What three film musicals won Academy Awards for best picture during the '60s? Line segment LM is dilated to create L'M' using point Q as the center of dilation and a scale factor of 2.What is the length of segment QM'? Find the slopes of the asymptotes of the hyperbola with the following equation.36 = 9x ^{2} - 4y^{2} The three sides of a triangle are consecutive odd integers. If the perimeter of the triangle is 39 inches find the lengths of the sides of the triangle A and B are mutually exclusive events. P(A) = 1/3 and P(B) = 1/2. What is the P(A or B)? What force of attraction holds the electron in the hydrogen atom? Which of these contraceptive methods would be most beneficial for a female who wishes to avoid side effects or surgery?A. Tubal ligationB. "Morning after" pillC. Birth control pillD. Vasectomy for her male partner During the first half of the sixteenth century, northern europes leading commercial and financial center was: Where did Dante live during his exile? A.He went to France and made his home in the border town of Monaco. B.He traveled around Italy and never settled in any one place. C.He never found a home because he passed away soon after being exiled. D.He moved to Sicily so his family could visit him. 99 Pointswill give brainliestOrder the following events from EverymanGod summons death.Death demands Everyman's account book.Fellowship promises Everyman devotion.Goods mocks Everyman.Good Deeds is liberated.Beauty abandons Everyman.Kindred abandons Everyman.Everyman's penance.Knowledge hears the angels sing.Doctor restates the moral. To answer that question The lowermost level of the epidermis is known as the: What is a recommended water skiing safety practice? Which of the following details from the passage support the main idea that Gabriel Garca Mrquez deserves the Nobel Prize for Literature? Calculate the vapor pressure of a solution containing 28.0 g of glycerin (c3h8o3) in 120 ml of water at 30.0 c. the vapor pressure of pure water at this temperature is 31.8 torr. assume that glycerin is not volatile and dissolves molecularly (i.e., it is not ionic) and use a density of 1.00 g/ml for the water. angelina is working with function machines. She has the two machines shown at right. She wants to put them in order so that the output of the first machine becomes the input of the second. She wants to use a beginning input of 6. In what order must she put the machines to get a final output of 5? Write a segment addition problem using three points that asks the student to solve for x but has a solution x = 20 Probability theory predicts that there is a 44% chance of a water polo team winning any particular match. If the water polo team playing 2 matches is simulated 10,000 times, in about how many of the simulations would you expect them to win exactly one match? Abraham Lincoln's famous quote, "A government of the people, by the people, and for the people," clearly articulated the notion of ________. You explore possible essay topics during the _____ stage of the writing process. Steam Workshop Downloader