steve saw 313 birds during a bird-watching trip to Yellowstone National park. he observes 15 more trumpeter swans than sandhill cranes. he saw twice as many mountain chickadees as ducky grouses. how many birds of each type did steve observe if he saw half as many trumpeter swans as ducky grouses

Answers

Answer 1

Answer:

trumpeter swans = 41sandhill cranes = 26mountain chickadees = 164ducky grouses = 82

Step-by-step explanation:

Total number of birds = 313

trumpeter swans = ssandhill cranes = cmountain chickadees = mducky grouses = g

We have equations below based on given:

s = c + 15

m = 2g ⇒ m = 2(2s) = 4s ⇒ m = 4(c + 15)g = 2s ⇒ g = 2(c + 15)s + c + m + g = 313

Substituting m, g and s as above in the last equation and finding the value of c:

c + 15 + c + 2(c + 15) + 4(c + 15) = 3137(c + 15) + c = 3137c + c + 105 = 3138c = 313 - 1058c = 208c = 208/8c = 26

Then finding the other values:

s = 26 + 15 = 41g = 2s = 2*41 = 82m = 2g = 2*82 = 164

Related Questions

How is the concavity of the parabola related to the orientation of the parabola?

Answers

Answer:

When it yields a negative constant, the original function is everywhere concave down. In other words, when the second derivative of the equation of our parabola is positive, the parabola opens upward; when it is negative the parabola opens downward. Example 2: If y = -2(x-1)² + 3, determine the parabola's orientation.

Step-by-step explanation:

I hope this helps and can you give me a Brainliest plz plz plz.

A tower is 234 meters tall. Jaylon is looking up at the top of the tower and thinking it would be cool to string a zip line from the top of the tower to a platform that is 1.9 meters high. If the angle formed between the zip line and tower would be 76 degrees how many meters of the line is neded?

Answers

Answer:

A length of 959.401 meters is needed for the zip line is needed to string it from the top of the tower to the platform.

Step-by-step explanation:

The geometrical representation of the statement is summarized in the figure below attached. The length of the line is represented by hypotenuse of the right triangle, whose value is calculated by the help of trigonometrical relations:

[tex]\cos \alpha = \frac{h}{r}[/tex] (1)

Where:

[tex]\alpha[/tex] - Angle formed between the zip line and the tower, measured in sexagesimal degrees.

[tex]h[/tex] - Vertical distance between the tower and the platform, measured in meters.

[tex]r[/tex] - Length of the zip line, measured in meters.

If we know that [tex]\alpha = 76^{\circ}[/tex] and [tex]h = 232.1\,m[/tex], then the length of the zip line is:

[tex]r = \frac{h}{\cos \alpha}[/tex]

[tex]r = \frac{232.1\,m}{\cos 76^{\circ}}[/tex]

[tex]r = 959.401\,m[/tex]

A length of 959.401 meters is needed for the zip line is needed to string it from the top of the tower to the platform.

Which graph represents the function f(x) = -x + 3)?

Answers

Answer: y=−x+3

Step-by-step explanation: the line starts from top left between - 8 and -6 and goes through  right under 4 / half a square intercepts on the x axis right onto the 4 and to the part stopping between - 8 and -6 once again, so it basically goes diagonal just be sure to make those marks

Factor each of the following expressions into two binomials.

1.x^2-10x+24
2.x^2-12x+27
3.x^2-13x+36
4.x^2-5x-14
5.x^2+x-20
6.x^2-3x-40
7.x^2+2x-48
8.x^2+10x-24
9.x^2-7x-44
10.x^2+x-2
11.x^2+2x+1
12.x^2-x-6

Answers

Answer:

Explanation:

1.
x^2 - 10x + 24
= (x - 6)(x - 4)

2.
x^2 - 12x + 27
= (x - 9)(x - 3)

3.
x^2 - 13x + 36
= (x - 9)(x - 4)

4.
x^2 - 5x - 14
= (x - 7)(x + 2)

5.
x^2 + x - 20
= (x + 5)(x - 4)

6.
x^2 - 3x - 40
= (x - 8)(x + 5)

7.
x^2 + 2x - 48
= (x - 8)(x + 6)

8.
x^2 + 10x - 24
= (x - 2)(x + 12)

9.
x^2 - 7x - 44
= (x - 11)(x + 4)

10.
x^2 + x - 2
= (x + 2)(x - 1)

11.
x^2 + 2x + 1
= (x + 1)(x + 1)

12.
x^2 - x - 6
= (x - 3)(x + 2)

The a value of the equation y = a(b)^x represents which of the following?

Answers

Answer:

initial starting value.

Step-by-step explanation:

Are 3/2 and 7/4 proportional ratios?

Answers

Answer:

No

Step-by-step explanation:

3/2 = 1 1/2 = 1.50

7/4 = 1 3/4 = 1.75

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

I need help with the question below

Answers

Answer:

27

Step-by-step explanation:

how can i solve this?

Answers

Answer:

About $804.70

Step-by-step explanation:

So, for this you will need the formula: "A = B(1 + r)^t" It is + 1 since it is an increase.

B = Initial Value

r = rate

t = time

A = B(1 + r)^t

A = 523(1 + 0.09)^5

A = 523(1.09)^5

A = 523(1.5386239549)

A = 804.700328413

A ≈ 804.70

A scale drawing of a mural uses the scale 2 centimeters (cm):10 meters (m). Another scale drawing of the same mural uses the scale 2 cm:4 m. In the first scale drawing, the mural is 7 cm long. What is the length of the mural in the second scale drawing?

Answers

Answer:

The answer that you are going to get is 23.56

Step-by-step explanation:

You solve that by multiplying all the numbers and then you divide by 2.

What was R-kelly doing in the basement
Right answers only ;-;

Answers

Answer:

Sum he wasn't suupposed to be doing....... ;-;

Step-by-step explanation:

determine if the sequence is arithmetic. if it is find the common difference. -34,-64,-94,-124​

Answers

Generally speaking, arithmetic sequences have the form:

an=a1+(n-1)*d

Where:

an=the nth term in the sequence

a1=the 1st term in the sequence

n=the number of terms in the sequence

d=the difference between consecutive terms (i.e. d=an-an-1=a2-a1=a3-a2, etc.)

The SUM of the terms of an arithmetic sequence, notated Sn, is given by:

Sn=[n/2]*[2a1+(n-1)*d]

So if n=8 then:

a8=a1+7d=63

And if there are 94 terms in the sequence then:

S94=[94/2]*[2a1+93d]=47*(2a1+93d)=94a1+4371d=1000

So this is a system of equations where:

{ a1 + 7d = 63 (Multiply this first equation by -94 on both sides and add to second equation)

{ 94a1 + 4371d = 1000

-94a1 - 658d = -5922 (Add this new equation to second equation)

Therefore:

3713d = -4922

So:

d = -4922/3713

Answer: arithmetic / -30

Step-by-step explanation: This is an arithmetic sequence.

The reason I know that is because the same number is being

added each time to get the next term in the sequence.

In this case, we are adding -30 each time to reach the next term.

So the common difference is -30.

What is the equation of the line that passes through the point (6,8) and has a slope of 1/2

Answers

Answer:

y = 1/2 + 11

Also:

Plz mark brainliest if this helped :)

I Need help for this question is kinda confusing

Answers

Answer:

6

Step-by-step explanation:

Coefficient term are the numbers that multiply the variables or letters.

In the given expression:

13a means 13 times a , and a is the variable,

so 13 is the coefficient .

6b means 6 times b , and b is the variable ,

so 6 is the coeffi.

Answer:

13

Step-by-step explanation:

Vinnie Testerverte is standing on the 40 yard line of the Washington Redskins when he throws a pass towards his end zone. The
equation that represents the path of the ball is y = -0.0975x2 + 3.9x + 6 where x represents the number of yards from 40 yard line and y
represents the number of feet the ball is above the ground.
1. How high is the ball when it crosses the
a) 30 yd line?
b) 15 yd line?
C) 5 yd line?

Answers

Answer:

a.35.25

b. 42.56

c.23.06

Step-by-step explantion

Just subsitute 30, 15, and 5 for x each time for each question

ex:

y=-0.0975(5)^(2)+3.9(5)+6

please help i will give brainliest

Answers

the answer would be C because it’s the only fraction that does not equal 0.4

The number of responses to a survey are shown in the Pareto chart. The survey asked 1052 adults how they would grade the quality of their public schools. Each person gave one response,

Find each probability

(a) Randomly selecting a person from the sample who did not give the public schools an A

(1) Randomly selecting a person from the sample who gave the public schools a grade better than a D

(c) Randomly selecting a person from the sample who gave the public schools a Dor an F

(d) Randomly selecting a person from the sample who gave the public schools an A or B

(a) The probability that a randomly selected person did not give the public schools an Als

(Round to three decimal places as needed)

Answers

Answer: (a) P(no A) = 0.935

              (b) P(A and B and C) = 0.0005

              (c) P(D or F) = 0.379

              (d) P(A or B) = 0.31

Step-by-step explanation: Pareto Chart demonstrates a relationship between two quantities, in a way that a relative change in one results in a change in the other.

The Pareto chart below shows the number of people and which category they qualified each public school.

(a) The probability of a person not giving an A is the difference between total probability (1) and probability of giving an A:

P(no A) = [tex]1-\frac{68}{1052}[/tex]

P(no A) = 1 - 0.065

P(no A) = 0.935

b) Probability of a grade better than D, is the product of the probabilities of an A, an B and an C:

P(A and B and C) = [tex](\frac{68}{1052})(\frac{258}{1052})(\frac{327}{1052})[/tex]

P(A and B and C) = [tex]\frac{5736888}{1164252608}[/tex]

P(A and B and C) = 0.0005

c) Probability of an D or an F is the sum of probabilities of an D and of an F:

P(D or F) = [tex]\frac{269}{1052} +\frac{130}{1052}[/tex]

P(D or F) = [tex]\frac{399}{1052}[/tex]

P(D or F) = 0.379

d) Probability of an A or B is also the sum of probabilities of an A and of an B:

P(A or B) = [tex]\frac{68}{1052} +\frac{258}{1052}[/tex]

P(A or B) = [tex]\frac{326}{1052}[/tex]

P(A or B) = 0.31

Harvard University accepts 6 students for every 100 applicants. How many students will be accepted if 850 applicants apply for admission?Immersive Reader (1 Point)

Answers

Answer:

51 students will be accepted if 850 applicants apply for admission.

Step-by-step explanation:

With the information provided, you can use a rule of three to find the amount of students that will be accepted if 850 applicants apply for admission given that you know that Harvard University accepts 6 students for every 100 applicants:

100  →  6

850 →  x

x=(850*6)/100= 51

According to this, the answer is that 51 students will be accepted if 850 applicants apply for admission.

Find the slope between these two points: (2,-1) and (10,-13)

Answers

Answer:

-3/2

Step-by-step explanation:

Answer:

-3/2

Step-by-step explanation:

(y2-y1) / (x2-x1)

(-13-(-1)) / (10-2)

=-12/8

simplify

= -3/2

Can someone help Eri? ^w^" circumference --- 25 points

Answers

Answer: same thing for me

Step-by-step explanation:

Are they parallel? Please answer like the one on the top, I’m trying to get my geography hw in Bc it’s missing

Answers

Answer:yes they are

Step-by-step explanation:

Yesssss good luck!!!!!

I’m confused on this type of math

Answers

Answer:

all you do is add

Step-by-step explanation:

The answer is b don’t really know how to explain

I will give brainliest just help please come on:)

Answers

Answer:

have watch a video yet if you have not it will help you on it

Step-by-step explanation:

A pound of swiss cheese costs $4.00 at the grocery store. Use the
fact that 16 ounces = 1 pound to help you find the cost of 5/6 pound
of swiss cheese. pls help ASAP

Answers

Answer:

3.

..2330

Step-by-step explanation:

Someone can help???
A ladder is leaning against a house. The distance to the house's edge from the bottom step is 3 ft. and the distance from the edge to the top step is 4 ft. What is the slant of the ladder?

Answers

Answer:

The slant of the ladder is 5 ft

Step-by-step explanation:

Look at the attached figure to understand this situation

a represents the distance from the edge to the top step

∵ The distance from the edge to the top step is 4 ft

a = 4 ft

b represents the distance to the house's edge from the bottom step

∵ The distance to the house's edge from the bottom step is 3 ft

b = 3 ft

c represents the slant of the ladder

∴ We need to find c

→ By using the Pythagoras Theorem

∵ c = [tex]\sqrt{a^{2}+b^{2}}[/tex]

∴ c = [tex]\sqrt{(4)^{2}+(3)^{2}}=\sqrt{16+9}=\sqrt{25}[/tex]

∵ [tex]\sqrt{25}[/tex] = 5

c = 5 ft

The slant of the ladder is 5 ft

I’m really stuck please help me

Answers

Answer:

well the question asked for the point (2,2)

Answer:

2,2

Step-by-step explanation:

You look at where the x is on the x axis, then you look at where the x is on the y axis to find the number, the x number always is written first.

There are 7 girls and 13 boys in a class at a Private
School. Of these students, 5 girls and 3 boys are in
the Running Club. What percentage of the students
at this Private School are in the Running Club?

Answers

Answer:

40%

Step-by-step explanation:

the total amount of students are 20

the people in running club are 8

8/20 = .40

.40 as a % is 40%

Answer:

40%

Step-by-step explanation:

need a correct answer please

Answers

What’s the question

Answer:

$239.02 and $10177

Step-by-step explanation:

Ann:

2868.32/6= 478.05

478.05/2= 239.02

Ann's sister:

3562.28/7= 508.89

508.89/5= 101.77

dont know if i did this right to be completely honest. but i feel like it's right. sorry if it's not.

Rewrite the fraction as a decimal. 19/50​

Answers

Answer:

0.38

Step-by-step explanation:

0.38 is a decimal and 38/100 or 38% is the percentage for 19/50.

answer the question for n

Answers

Answer:

el pepe

Step-by-step explanation:

Can somebody help mee plzzzzzzzz

Answers

Answer:

lines a and b are parallel. The slopes are -1/3

None of the lines are perpendicular to each other.

Step-by-step explanation:

To figure out if any of the lines are parallel or perpendicular to each other, you have to find the slopes of each line. To find the slope look at the graph find the rise over run for all of the lines:

line a: This line goes down one every time it goes over 3, which can be represented by -1/3

line b: This lines goes down one every time it goes over 3, which can also be written as -1/3

line c: This line goes up 5 every time it goes over 2, which makes the slope 5/2

When two lines are parallel, they have the same slope. Line a and line b have the same slope, so they are parallel.

When two lines are perpendicular, their slopes are negative reciprocals of each other. Since none of the slopes are a negative reciprocal of another slope, we have no perpendicular lines.

Hope this helps :)

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