Adélie penguins in the Danger Islands represent about 55% of the total Adélie penguin population in the Antarctic Peninsula. They calculated a total of 1,503,054 penguins on the islands.
What is the total estimated Adélie penguin population in Antarctica?
Answer:
Adélie penguins= 826,680
Step-by-step explanation:
Giving the following information:
Total penguin population= 1,503,054
Adélie penguins= 55%
To calculate the number of Adélie penguins, we need to use the following formula:
Adélie penguins= total penguin polulation*proportion of Adélie penguins
Adélie penguins= 1,503,054*0.55
Adélie penguins= 826,680
find the value of x that make it true
Answer:
Step-by-step explanation:
1). 10 = [tex]\frac{1+7x}{7+x}[/tex]
10(7 + x) = 1 + 7x
70 + 10x = 7x + 1
10x - 7x = 1 - 70
3x = -69
x = -23
2). 0.2 = [tex]\frac{6+2x}{12+x}[/tex]
0.2(12 + x) = 6 + 2x
2.4 + 0.2x = 6 + 2x
2.4 - 6 = 2x - 0.2x
1.8x = -3.6
x = -2
3). 0.8 = [tex]\frac{x}{x+0.5}[/tex]
0.8(x + 0.5) = x
0.8x + 0.4 = x
x - 0.8x = 0.4
0.2x = 0.4
x = 2
4). 3.5 = [tex]\frac{4+2x}{0.5-x}[/tex]
3.5(0.5 - x) = 4 + 2x
1.75 - 3.5x = 4 + 2x
-3.5x - 2x = 4 - 1.75
-5.5x = 2.25
x = -[tex]\frac{2.25}{5.5}[/tex]
x = - [tex]\frac{9}{22}[/tex]
What is Eight times the sum of a number and -192 gives 96?
Answer:
Step-by-step explanation:
8x-192=96
8x-192+192=96+192
8x=288
8x/8=288/8
x=288/8
36
The unknown number is 204.
Important Information:
Eight times the sum of a number and -192 gives 96Linear equation:Let [tex]x[/tex] be the unknown number.
Sum of a number and -192 is
[tex](x+(-192))=x-192[/tex]
Eight times the sum of a number and -192 gives 96.
[tex]8(x-192)=96[/tex]
Divide both sides by 8.
[tex]x-192=12[/tex]
[tex]x=12+192[/tex]
[tex]x=204[/tex]
Therefore, the unknown number is 204.
Find out more about 'Linear equation' here:
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Among 75 students in epidemiology class, 3 are obese per their BMI on a survey. This survey also collected information about how often students eat Krispy Kreme donuts. Seven students indicated they eat donuts daily. Of those eating donuts daily, 2 are in the obese group. Calculate the appropriate measure of association for the possible association between daily donut eating and obesity and enter your calculated result.
Answer:
2/7 become obese by eating it every day.
Step-by-step explanation:
Find the exact value of each trigonometric function tan -630
Answer:
1tan is 10sin
OK OK OK.
follow please
PLEASE ANSWER
Daniel works in a market. He has a large bag of potatoes that weighs 6514 pounds and he is going to sell them in smaller bags of 214 pounds each. If he uses up all the potatoes, how many smaller bags of potatoes will Daniel have filled?
Answer:
When 6514 is divided by 214, it equals approximately 30.4. So Daniel will have filled 30 smaller bags.
In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Write and solve a proportion to find the number of cats.
Ο 18
Ο 21
Ο Ο Ο Ο
Ο 15
Ο 16
Answer:
15 cats
proportion 3x : 5x
in this case x= 5
Step-by-step explanation:
divide 25 by 5
=5
now you know the factor is 5
multiple 3 by 5
=15
There are 32 carpenters in a work crew. On a certain day, 24 were present. What
percent showed up for work?
Answer:
75%
Step-by-step explanation:
24/32 = .75 move decimal twice to the right to change to %
= 75%
part 1: the following formula gives the area of a circle, A, dependent on its radius, r.
A = πr²
solve the equation for the variable r.
part 2: using the answer from the previous question, ^^ state the value of ‘r’ if the area of the circle were equal to 37 square feet.
(you can use 3.14 to approximate the value of π in the equation”
Answer:
3.43ft
Step-by-step explanation:
Step one:
given data
the expression for the area is
A = πr²
make r subject of the formula
divide both sides by π
A/π =r²
square root both sides
r=√A/π
step two:
given that A= 37 ft^2
r= √37/3.142
r=√11.77
r=3.43ft
If Sarah has 30 bills in her wallet worth $240, all fives and tens, how many of each bill does she have? Show work if possible
Answer:
Step-by-step explanation:
The total number of fives bills is 12 and the total number of tens bills is 18 and this can be determined by forming the linear equations.
Given :
Sarah has 30 bills in her wallet worth $240, all fives and tens.
The following steps can be used in order to determine the total number of fives bill and tens bills:
Step 1 - Let 'x' be the total bills of fives and 'y' be the total bills of tens.
Step 2 - The linear equation that represents the total number of bill is given by:
x + y = 30
x = 30 - y --- (1)
Step 3 - Now, the linear equation that represents the total amount of the bill is given by:
5x + 10y = 240 ---- (2)
Step 4 - Substitute the value of 'x' in equation (2).
5(30 - y) + 10y = 240
150 - 5y + 10y = 240
5y = 90
y = 18
Step 5 - Substitute the value of 'y' in equation (1).
x = 30 - 18
x = 12
So, the total number of fives bills is 12 and the total number of tens bills is 18.
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Determine if the two triangles are congruent. If they are, state how you know.
A. SAS
B. not enough information
C. SSS
D. AAS
Answer:
A. SAS
Step-by-step explanation:
Since the marked angle is between the marked sides, and the corresponding sides are marked as congruent, the two triangles are congruent by SAS (side angle side).
How do you know whether two quantities x and y are proportional?
Answer: first one
Step-by-step explanation:
Answer:
First one
Step-by-step explanation:
Solve for x. I’ll give BRAINLIEST!!
Answer:
x = -7
Step-by-step explanation:
Firstly, under the rule of opposite vertical angles, you know that any angles opposite of each other in a cross section have the same degree measure.
Therefore the last remaining angle in the triangle will be 85 degrees, since it is vertically opposite of the 85 degree angle.
Next, you know that all three angles of a triangle MUST equal 180 degrees to be considered a complete triangle.
Therefore, use the equation below to solve for x:
180 = 54 + 85 + (48 + x)
x = 180 - 54 - 85 -48 = -7
The solution of 5(x+2) – 3x = 2(x – 5)
Answer:
Step-by-step explanation:
5x + 10 - 3x = 2x - 10
2x + 10 = 2x - 10
0x = -20
no solution
QUESTION 8 of 10: You have a gross lease of $1,000 per month. Taxes and maintenance total $500 per month. What is your total rent payment?
Answer:
1500
Step-by-step explanation:
just took the test
Your total monthly payment would be; 1,500 dollars.
What is Monthly Rent?Monthly Rent means the monthly installments of the Annual Minimum Rent and the estimated annual utility bills payable by the Lessee under this Rental Agreement.
The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
We are given that You have a gross lease of $1,000 per month. Also, Taxes and maintenance total $500 per month.
we need to calculate the your total rent payment.
Therefore, we know that;
Rent= base payment + percent of revenue
= 1,000 + 500
= 1500
Hence, we can conclude that the monthly rent should be 1500 dollar.
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What is 9 to the power of 4 + 6(7 x 3) - 3?
Answer: 127^9 so 8594754748609400000
Step-by-step explanation: i’m not sure but 4+6 (7x3)-3 = 127 127^9
What is the quotient of 8,187 ÷ 24? (2 points)
341 R 3
341 R 7
409 R 3
409 R 7
Write the equation of a line that passes through (-2,6) and 1,-6)
Answer: y=−2−4x
Check: Put 1,6 in the equation, -6 = -2-4(1). After solving, you get -6 (Check) So this equation is correct. Stay safe, and Happy Holidays!
only odd numbers are prime numbers true or false?
Answer:
False.
:D
幸運を!
if m this is so confusing
What is the difference between -4 and 6
-10
-2
2
10
Mark brainly if ur right please help ASAP
Hey,
Answer:
2 and -2
Good luck :)
Can a wheel make 72 revolutions per minute
Answer:
no,i don't think about it
Molly shot 20 baskets in 4 minutes. Nico shot 42 baskets in 6 minutes. How many more baskets did Nico shoot per minute?
Answer:
2
Step-by-step explanation:
Molly:
20 baskets / 4 minutes = 5 baskets/minute
Nico:
42 baskets / 6 minutes = 7 baskets/minute
7 - 5 = 2
Answer: 2
Answer:
Step-by-step explanation:
Ratio....
M = 20:4
N = 42:6
Slope....
M = 5 shots per minutes
N = 7 shots per minutes
Nico shot 2 more baskets per minute than Molly did
Hope this helped!
(2x+1)^2 - (x+3)^2 simplify
Answer:
Step-by-step explanation:
steps are below
step 1
(2x+1)^2 - (x+3)^2 equation
step 2
4x^2+4x+1+(-x^2)+(-6x)+(-9) distribute
step 3
4x^2+4x+1+(-x^2)+(-6x)+(-9)
(4x^2+-x^2)+(4x+(-6x)+(1+(-9) combine the like terms
3x^2-2x-8
Interest of $1,632 with principal of $16,000 for 306 days (ordinary interest) results in a rate of
Answer: 12%
Step-by-step explanation:
what are the first 3 composite numbers that are multiples of 4 and greater than 10.
Answer:
12, 16, and 20
Step-by-step explanation:
These are the answers because:
1) Composite numbers mean numbers that are divisible by more than two numbers (1 and itself).
2) Multiples of 4 that are greater than 10 are: 12, 16, and 20 because they are all divisible by more than two numbers, they are greater than 10, and they are mutiples of 4. You can check if they are multiples of 4 by skip counting or multiplying: 4, 8, 12, 16, 20 or 4 x 1 = 4, 4 x 2 = 8, 4 x 3 = 12, 4 x 4 = 16, 4 x 5 = 20.
Therefore, the answers are: 12, 16, and 20
Hope this helps! :D
Answer:
12, 16, 20
Step-by-step explanation:
I answered before but for some reason, my answer was deleted. The other person deserves brainliest though, they gave the best answer.
How can I solve this?
Please use the simplest format
Answer:
option D is true.
Step-by-step explanation:
The right-angled triangle is shown.
From the right-angled triangle,
The angle Ф = 60°
We know that the trigonometric ratio
tan Ф = opposite / adjacent
opposite = 4adjacent = nThus,
tan 60 = 4 / n
√3 = 4/n
n = 4/√3
Thus,
n = 4/√3
= (4 × √3) / (√3 × √3)
= 4√3 / 3
Thus,
n = 4√3 / 3
Using Pythagorean theorem
m = √n²+4²
[tex]m=\sqrt{\left(4\cdot \frac{\sqrt{3}}{3}\right)^2+4^2}[/tex]
[tex]m=\sqrt{\frac{4^2}{3}+4^2}[/tex]
[tex]m=\sqrt{\frac{64}{3}}[/tex]
[tex]m=\frac{8}{\sqrt{3}}[/tex]
[tex]m=\frac{8\sqrt{3}}{3}[/tex]
Thus,
[tex]m=\frac{8\sqrt{3}}{3}[/tex]n = 4√3 / 3Therefore, option D is true.
A right triangle has a hypotenuse that is 9
inches long and one leg that is 4 inches long.
What is the perimeter of the triangle?
Answer:
sqrt65+17
Step-by-step explanation:
a^2+b^2=c^2
a^2+4^2=9^2
a=sqrt65
perimeter = sqrt65+97
Hope this helps plz hit the crown :D
what is the difference between 75.847 and 47.964?
Answer:
27.883
Step-by-step explanation:
75.847
-47.964
27.883
Dec 23, 8:45:08 PM
Find three consecutive POSITIVE ODD integers such that when you multiply the first
and third the result is nine less than six times the second integer.
Answer:
The three consecutive POSITIVE ODD integers are: 3, 5 and 7
Step-by-step explanation:
If x is an integer, then there consecutive positive odd integers are:
x , x + 2, x + 4 are three consecutive integers.
Where
First integer, a = x
Second integer, b = x + 2
Third integer, c = x + 4
We are told to:
Find three consecutive POSITIVE ODD integers such that when you multiply the first and third the result is nine less than six times the second integer.
Hence, this is represented as:
a × c = 6(b) - 9
Where
a = x
b = x + 2
c = x + 4
x (x + 4 ) = 6(x + 2) - 9
x ² + 4x = 6x + 12 - 9
x² +4x - 6x - 12 + 9= 0
x² - 2x - 3 = 0
Factorising
x² +x - 3x - 3 = 0
x (x + 1) -3(x + 1) = 0
(x - 3) (x + 1) = 0
x - 3 = 0
x = 3
x + 1 = 0
x = -1
Since, x cannot be negative for this question, x = 3
First integer, a = x = 3
Solving for:
Second integer, b = x + 2
b = 3 + 2 = 5
Solving for :
Third integer, c = x + 4
c = 3 + 4 = 7
Therefore, the three consecutive POSITIVE ODD integers are: 3, 5 and 7