Steve saw 313 birds during a bird-watching trip to Yellowstone National Park. He observed 15 more trumpeter swans than sand-hill cranes. He saw twice as many mountain chickadees as dusky grouses. How many birds of each type did Steve observe if he saw half as many trumpeter swans as dusky grouses?

Answers

Answer 1

Answer:

trumpeter swans = t = 41

sand-hill cranes = s = 26

chickadees = c = 164

dusky grouses = d = 82

Step-by-step explanation:

Total birds = 313

Let

trumpeter swans = t

sand-hill cranes = s

chickadees = c

dusky grouses = d

t = 15 + s

c = 2d

d = 2t

t + s + c + d = 313

(15+s) + s + 2d + d = 313

15 + s + s + 2(2t) + 2t = 313

15 + 2s + 4t + 2(15+s) = 313

15 + 2s + 4(15 + s) + 30 + 2s = 313

15 + 2s + 60 + 4s + 30 + 2s = 313

105 + 8s = 313

8s = 313 - 105

8s = 208

s = 208 / 8

= 26

s = 26

t = 15 + s

= 15 + 26

= 41

d = 2t

d = 2(41)

= 82

c = 2d

c = 2(82)

= 164

trumpeter swans = t = 41

sand-hill cranes = s = 26

chickadees = c = 164

dusky grouses = d = 82


Related Questions

Simplify
3x + 5 + 2x - 4

Answers

Answer:

5x+1

Step-by-step explanation:

7. What is the solution to 3 (x - 5)= 5x
-5)= 5x - (3 - x)?

Answers

Answer:

Why do you have two equal signs in this question?

what is 55 - 11u =55​

Answers

Answer:10


Explanation:

Take the subtraction sign turn it into a plus because you want to make it a bigger number. Then it equals 110 and divide 110 by 11u and it equals 10

Find the total cost to the nearest cent. $44.90 Jacket; 4.5% sales tax
PLZ!!!!!!!!!!!!!! Hurry!!!!!!!!!!

Answers

Answer:42.8795

Step-by-step explanation: because their is a easier way. $44.90 - 4.5%=42.8795 i hope this helps you .

PLEASE HELP ME!!!! THIS IS DUE TODAY!!!!!!!!

Answers

Answer:

sorry but can you put a picture or a question? thanks    :)

Step-by-step explanation:

22
21. Admission to a science museum is $22
for an adult. The cost for a child is $5 less
than the cost for an adult. What would be
the total cost of admission for 12 adults
and 15 children? Explain.

Answers

Answer:

519

Step-by-step explanation:

We know the admission for adults is $22, and the kids ticket is 5 less.

22 - 5 = 17

now we know the kids ticket is $17

12 adult tickets - 22 x 12 = 264

15 children - 15 x 17 = 255

264 + 255 = 519

The city park is 9 2/5 miles from Roland Elementary School. The city library is 3 3/10 miles from the same school. How much farther from the school is the park than the library?

Answers

Answer:

6 1/10

Step-by-step explanation:

just need to find out the difference in the distances

9 2/5 - 3 3/10 = 6 2/5 - 3/10 = 6 1/10

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Just subtract 3_3/10 from 9_2/5.

Let 3_3/10 be 33/10.

Let 9_2/5 be 47/5.

47/3 - 33/10 =

LCD is 30.

30 ÷ 3 = 10.

10 x 47 = 470

30 ÷ 10 = 3

3 x 33 = 99

We now have (470 - 99)/30.

This becomes (371/30) miles.

You can express (371/30) miles as a mixed number answer if needed.

When Jeremiah looked at his cell phone bill for the month, he saw that he had spent 2/5 of his minutes talking to his mother and 1/5 of his minutes talking to his best friend. What fraction of the minutes did Jeremiah spend talking to either his mom or his best friend?

Answers

I’m not sure what it’s asking but if it’s asking how much did he talk to his mom and best friend in all that would be 3/5 if it’s asking for the fraction of time he spent not talking to his mom or best friend the answer would be 2/5

Answer:

that would be 3/5 minutes

Step-by-step explanation:

What equation is graphed in this figure?


A. y−4=−13(x+2)

B. y−3=13(x+1)

C. y+2=−3(x−1)

D. y−5=3(x−1)

Answers

Answer:

c. [tex] y + 2 = -3(x - 1) [/tex]

Step-by-step explanation:

By using a point on the line and the slope, we can determine the equation, in point-slope form, that is graphed in the figure.

Using two points, (1, -2) and (0, 1),

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 -(-2)}{0 - 1} = \frac{3}{-1} = -3 [/tex]

m = -3

Using a point, (1, -2) and the slope (m), we can create an equation for the graph in point-slope form, by substituting x1 = 1, y1 = -2 and m = -3 in [tex] y - y_1 = m(x - x_1) [/tex].

Thus, we would have:

[tex] y -(-2) = -3(x - 1) [/tex]

[tex] y + 2 = -3(x - 1) [/tex]

The equation that is graphed in the figure is:

✔️[tex] y + 2 = -3(x - 1) [/tex]

Use the diagram to find the measures of each angle. Make your thinking visual. Explain your
reasoning.

Answers

ABC= 130
Ebd= 130
Abe=50

Vertical angles are congruent. Meaning they will have the same angle

-4,-7 moved 90 degrees clockwise

Answers

Huh do another one so we can answer a question

-7[-8-4a]=25+a
A. a= -16
B. a=-5
C. a= -11
D. a=-3

Answers

Answer:

-1.48148148

Step-by-step explanation:

-7 x -8 = 56

-7 x -4a = 28a

25-56=-31

27a/-31

a=-1.48148148

Katy's 4 dogs eat a total of 16 dog biscuits every day. How many biscuits will they eat in 45 days?
180 biscuits
64 biscuits
315 biscuits
720 biscuits

Answers

I’m pretty sure it 64

Answer:

720

Step-by-step explanation:

16 times 45

go math chapter 4 riview

Answers

Answer:

OKAY

Step-by-step explanation:

Answer:

Okay

Step-by-step explanation:

Factor 6c - 8d
help please!

Answers

Answer:

6c - 8d = 2 (3c - 4d)

Step-by-step explanation:

Factoring

To factor a polynomial, we must find the Greatest Common Divisor (GCD) among all its terms.

The expression to factor is 6c - 8d.

The GCD is found by factoring all terms:

6c : 2,3,c

8d : 2,2,2,d

And take the common divisor between the coefficients and the variables

GCD=2

Thus, the factorization is:

6c - 8d = 2 (3c - 4d)

i need help please. thanks!​

Answers

Answer:

x = 6

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Geometry

All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Set up equation

8x + 2 + 70 + 60 = 180

Step 2: Solve for x

Combine like terms:                    8x + 132 = 180Subtract 132 on both sides:        8x = 48Divide 8 on both sides:               x = 6

And we have our final answer!



I need help with number 11 and number 12

Answers

Answer:

11) 6

12) 3

Step-by-step explanation:

2 log 2 8

so 2(log2 8)

Base 2 so 2^x=8 so 3.

2*3 is 6.

log a a cubed

base a so a^ x = a^3

x=3

so 3.

Hope this helps ;D

Answer:

6 and 3

Step-by-step explanation:

Using the rules of logarithms

log[tex]x^{n}[/tex] ⇔ n log x

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

[tex]log_{a}[/tex] a = 1

(11)

let 2 [tex]log_{2}[/tex]8 = n , then

[tex]log_{2}[/tex] 8² = n

[tex]log_{2}[/tex] 64 = n

[tex]log_{2}[/tex] [tex]2^{6}[/tex] = n

[tex]2^{6}[/tex] = [tex]2^{n}[/tex]

Since bases on both sides are equal, equate the exponents, that is

n = 6

(12)

[tex]log_{a}[/tex] a³

= 3 [tex]log_{a}[/tex] a

= 3 × 1

= 3

What is 1+2333333366666666+55666666666666655555555555587777777777777777777777777777777777799999999999999999+4664644646646=?

Answers

Answer: 5.5666667e+79

:)

i need help with this pls

Answers

Answer:

Function 1 is linear

Step-by-step explanation:

A linear is a straight line on the graph.

Factor completely: 1-1/8p^3

Answers

Answer:

the answer is on the picture

Step-by-step explanation:

a = 1 and b = [tex]\frac{1}{2}p\\[/tex]

(1-  [tex]\frac{p}{2}[/tex]) [tex]\frac{1}{4}[/tex] (4+ 2p +p^2)

When would you expect the experimental probability of an event to be closest to its theoretical probability?
a. When the results of 10 trials were used in C. When the results of 100 trials were used in
calculating the theoretical probability
calculating the experimental probability
b. When the results of 10 trials were used in d. None of the above, because the experimental
calculating the experimental probability probability is unrelated to the theoretical
probability

Answers

Answer: C -when the results of 100 trials were used in calculating the experiment probability

Step-by-step explanation:

Took the assessment right now

Answer:

Step-by-step explanation:

Please help me 100 POINTS!

Answers

Answer:

1.y=3x

2.y=-3x+4

3.y=1.5x-7

4.y=7

5.y=-1.5x-4

Step-by-step explanation:

1.m=3,b=0

2.m=-3,b=4

3.m=1.5,b=7

4.m=0,b=7

5.m=-1.5,b-4

hope it helps po

Answer:

see below and attached

Step-by-step explanation:

y=3x

m = 3

b = 0

y = -3x + 4

m = -3

b = 4

y = -1.5x + 7

m = 1.5

b = 7

y = 7

m = 0

b = 7

y = -1.5x - 4

m = -1.5

b = -4

I really need help with these two questions ASAP

Answers

Answer:

22) 7d+ 4d-23y

=11d -23y

25) =n-6t

help me pls i need this done so i pass

Answers

Answer: b.

Step-by-step explanation:

Jada completed four out of 10 assignments. What is the ratio of completed to end complete assignments in simplest form?

Answers

Answer:

48

Step-by-step explanation:

dddd

Which is the solution to the inequalit? 1/4 +x less than 5/6

Answers

Answer:

  x<7/12

Step-by-step explanation:

     1/4+x<5/6

1/4+x-1/4 < 5/6-1/4

             x<10/12-3/12

            x<7/12

Write the inequality out.

1/4 + x < 5/6

Now solve for x

x < 5/6 - 1/4
x < 7/12

Among us?
Dndkxjdjjdskskskdkx what’s 5*5-8

Answers

Answer:

17

Step-by-step explanation:

5×5-8

5×5= 25

25-8=17

What is an equation of the line that passes through the points (3,4) and (−4,−3)? Put your answer in fully reduced form

Answers

Answer:

The equation of the line is y = x + 1

Step-by-step explanation:

The equation of the line is y = m x + b, where

m is the slope of the lineb is the y-intercept

The rule of the slope of the line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points on the line

∵ The line passes through points (3, 4) and (-4, -3)

∴ x1 = 3 and y1 = 4

∴ x2 = -4 and y = -3

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{-3-4}{-4-3}[/tex] = [tex]\frac{-7}{-7}[/tex] = 1

m = 1

→ Substitute it in the form of the equation above

∴ y = 1(x) + b

y = x + b

→ To find b substitute x by 3 and y by 4 in the equation

∵ 4 = 3 + b

→ Subtract 3 from both sides

∵ 4 - 3 = 3 - 3 + b

1 = b

→ Substitute it in the equation

y = x + 1

The equation of the line is y = x + 1

graph the function. label the vertex and axis of symmetry
f(x) = -6x^2 - 4x - 5

Answers

Answer:

Vertex is (-1/3, -13/3)

Axis of symmetry is x = -1/3

Step-by-step explanation:

For the vertex, you need to change it into vertex form which is y = a(x - h)^2 + k

Vertex form for this equation is:

Y = -6(x + 1/3)^3 - 13/3

To find the vertex, the formula is (h,k)

So, ( -1/3, -13/3)

I will give brainliest

A. 2x-1+3x=0

B. 5x-1=0

1) How can we get Equation B from Equation A?

Choose 1 answer:

(Choice A) Add/subtract the same quantity to/from both sides

(Choice B) Add/subtract a quantity to/from only one side

(Choice C) Rewrite one side (or both) by combining like terms

(Choice D) Rewrite one side (or both) using the distributive property

Answers

The answer would be c
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