The number of animal in a park increase by 60% every month. By the end on December the number of animals is 2560, how many animals would have been there by the end of November?
Answer:
1,600
Step-by-step explanation:
I did a bit of guessing becuase I don't know the exact way to reverse the formula, but here is what I did!
I guessed around 1,550 at first, but it was too low. I kept increasing the base number until I reached 1,600, and came to the conclusion by doing the equation;
1,600(0.6)=960
Then, since it increases each month by 60% of the previous month's value, you do
1,600+960=2,560
How do you solve this?
Answer:
22
Step-by-step explanation:
5x + 8 = 118
5x = 110
x = 22
Please help, I don’t know the answer
Answer:
a. height: 36 units
b. radius: 4 units
Step-by-step explanation:
The volume of a cone is given by the formula ...
V = 1/3πr²h . . . . . for radius r and height h
This tells you the volume is jointly proportional to the height and the square of the radius. This means that for a given volume, the height is inversely proportional to the square of the radius. We can use this proportionality to answer the questions here.
__
a.The radius of Cone B is 2 units. Compared to Cone A, the radius of Cone B is 2/6 = 1/3 of the radius of cone A. The square of this ratio is (1/3)² = 1/9, and the inverse of that square is 9/1. This means the height of Cone B is 9 times the height of Cone A, so is ...
Cone B height = 9 × 4 units = 36 units
__
b.The height of this Cone B is 9 units, whereas the height of Cone A is 4 units. This means the height of Cone B is 9/4 times the height of Cone A. This is the inverse of the square of the ratio of radii of Cone B to Cone A. Inverting the height ratio, we get 4/9. Taking the square root of that, we get √(4/9) = 2/3. This means the radius of Cone B is 2/3 the radius of Cone A:
Cone B radius = 2/3 × 6 units = 4 units
_____
Additional comment
We can check the above dimensions using the volume formula.
a. V = 1/3π(2 units)²(36 units) = 48π units³
b. V = 1/3π(4 units)²(9 units) = 48π units³
These are the expected volume, so the answers check OK.
4, 5, 4, 7, 9, 4, 9 what is the mean and median
Answer:
Median: 5
Mean: 6
Step-by-step explanation:
4,4,4,5,7,9,9
(4x3)+5+7+(9x2)
12+5+7+18
17+25=42
42÷7=6
answer the questions.
By analyzing the data tables given, we will see that:
1) The range is 28.
2) The graph can be seen at the end.
3) There are clusters at 16 and 17, and 25 is an outlier.
4) The range decreases almost by 50%.
How to get the range for the data?
The range is defined by the difference between the largest and smallest values from the data set.
In this case, the largest is: 95The smallest is: 67So the range is: R = 95 - 67 = 28
The correct option is D.
How to make a line plot?For each time that a number appears, you need to make a dot above the correspondent value.
The graph can be seen below.
3) we have clusters on 16 and 17, and as you can see, the value 25 is really away of the rest of the values, so we have a gap, and 25 is an outlier.
4) With the 25, the range is:
25 - 16 = 9
If we remove it, the range is:
21 - 16 = 5
So the range decreases almost by a 50%.
If you want to learn more about data sets, you can read:
https://brainly.com/question/3514929
Two old RSM students were standing ten feet apart when they ran in opposite directions with speeds of 180 feet per minute and 160 feet per minute respectively, how many minutes would pass before they were 1870 feet apart?
The number of minutes that would pass before they were 1870 feet apart is 5.47 minutes
Since one student runs at a speed of 180 feet per minutes, in time t minutes, he moves a distance of d = 180t.Also, the second student runs at a speed of 160 feet per minute, in time t minutes, he moves a distance of d' = 160t.
Since they are initially 10 feet apart, their total distance apart after t minutes is D = d + 10 + d'
D = 180t + 10 + 160t
D = 340t + 10
Number of minutes before they are 1870 feetMaking t subject of the formula, we have
t = (D - 10)/340
Since they are 1870 feet apart after t minutes, D = 1870 feet.
t = (D - 10)/340
t = (1870 - 10)/340
t = 1860/340
t = 5.47 minutes
So, the number of minutes that would pass before they were 1870 feet apart is 5.47 minutes
Learn more about minutes of distance apart here
https://brainly.com/question/8783264
A piece of wire 20 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle.
The length of the wire is the perimeter of the wire
The radius of the circle is 1.59 meters
How to determine the radius of the circle?The length of the wire is given as:
L = 20m
When cut into two pieces, we have:
Perimeter of square = 10 mCircumference of circle = 10mThe circumference of the circle is calculated using:
C = 2πr
So, we have:
2πr = 10
Make r the subject
r = 10/2π
Evaluate the quotient
r = 1.59
Hence, the radius of the circle is 1.59 meters
Read more about radius at:
https://brainly.com/question/9554871
mathematics pls help 4 questions will give brain to best answer
Answer:
1)ur first answer is 12
2)Your median is 9
3)9
4) range 7
Step-by-step explanation:
it’s the most common number
The middle numbers are 8 and 10.9 is the number in between them which mean it is the median
4) you subtract the biggest number with the smallest one 12-5=7
Answer:
[1] 12
[2] 9
[3] 9
[4] 5
Step-by-step explanation:
[1] What is the mode for the following set of data?
5,7,8,10,12,12
Answer = 12
Explanation: Mode is what most appears in data set. Thus, we see that 12 is the mode.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[2] What is the median for the following set of data?
5,7,8,10,12,12
Answer = 9
Explanation:
Median is basically what in the middle.
5,7,8,10,12,12
5,7,8,10,12,12
Since there are two number in the middle: Add them up and then divide by 2. 8 + 10 = 18/2 = 9
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[3] What is the mean for the following set of data?
5,7,8,10,12,12
Answer = 9
Explanation:
Mean is add all the number up and then divide by total number in data set
5 + 7 + 8 + 10 + 12 + 12 = 54
Total number in data set : 6
54/6 = 9
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[4] What is the range for the following set of data?
5,7,8,10,12,12
Answer = 5
Explanation:
Range = IQR = Q3 - Q1
Knowing that;
Quartiles:
Q1 --> 7
Q2 --> 9
Q3 --> 12
Hence, 12 - 7 =5
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Lenvy~
simplify and tell the function
2x - 5
Step-by-step explanation:I just know and am positive with my answer. Hope this helped and have a good one!
Find the equation of the line through the points (0, –3) and (4, 5)
Answer:
y=2x-3
Step-by-step explanation:
Hi there!
We are given the points (0, –3) and (4, 5)
We want to find the equation of the line between these points
There are 3 ways to write the equation of the line, yet the most common way is slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
To write the equation of the line in this way, we need to first find the slope of the line
The slope can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We already have 2 points, but let's label their values to avoid confusion and mistakes when calculating.
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{5--3}{4-0}[/tex]
Simplify
m=[tex]\frac{5+3}{4-0}[/tex]
m=[tex]\frac{8}{4}[/tex]
Divide
m=2
We found the slope of the line.
Here is the equation of the line so far:
y=2x+b
Now let's find b
As stated before, b is the y intercept of the line, which is the point where the line passes through the y axis; the value of x at the y intercept is 0
One of the points we were given (0, -3) is actually the y intercept of the line!
The value of b is the value of y at the y intercept; in this case, b is equal to -3
Now substitute -3 as b in the equation.
y=2x-3
Hope this helps!
See more on this topic here: https://brainly.com/question/27172025
Preston measured the button on his shirt. Then he calculated that it has an area of 50.24 square millimeters. What is the button's diameter?
What is the value of the unknown?
4x?+ ?= -2x?
Answer:
If the whole transaction is written separately from the beginning, an algebraic equation is obtained
Step-by-step explanation:
[tex]4x = s[/tex]
[tex] - 2x = w[/tex]
[tex]w \times s = - 8 {x}^{2} [/tex]
[tex]w = s = s \times s = 16 {x}^{2} [/tex]
[tex] - 8 {x}^{2} + 16 {x}^{2} = 8 {x}^{2} [/tex]
This is the way to get the answer
third time posting this question pls help. it's 7 grade maths.pls help i need it I give brainlist
Answer:
Step-by-step explanation:
7) m + 6 > 17
m > 17- 6
8. 500 + p > 1500
9. Let cost of pencil be 'x' and it is 5 less than y
x < y -5
Cost of pencil and ruler is less than $ 30.
x + y < 30
10. r + 5 > 17
r > 17 - 5
r > 12
12.She is spending $ x. So, we have to subtract from $10.
10 -x < 5
PLS HELP ME !! I REALLT NEED HELP
Step-by-step explanation:
it clearly says (and also shows it by specifying 4cm × 4cm side lengths) : a square base.
so, all net diagrams not having a square in the middle (but a rectangle or a triangle) are out.
and in fact, all 3 that have a square in the middle, are valid nets that would fold up to the pyramid : the 2nd, 4th and 6th.
Two cars, one traveling north and
one traveling east leave a city.
The car traveling north goes X
miles while the car traveling east
has gone ×+4 miles. If the
distance between the cars at this
moment is 20 miles find the
distance the car traveling east has
traveled.
Find Rate of change and y intercept in a graph and table y=3x-3
Answer:
x=6?
Step-by-step explanation:
I think it's this answer im not sure
The proof that ΔEFG ≅ ΔJHG is shown.
Given: G is the midpoint of HF, EF ∥ HJ, and EF ≅ HJ.
Prove: ΔEFG ≅ ΔJHG
Triangles E F G and J H G share common point G.
Statement
Reason
1. G is the midpoint of HF 1. given
2. FG ≅ HG 2. def. of midpoint
3. EF ∥ HJ 3. given
4. ? 4. alt. int. angles are congruent
5. EF ≅ HJ 5. given
6. ΔEFG ≅ ΔJHG 6. SAS What is the missing statement in the proof?
∠FEG ≅ ∠HJG
∠GFE ≅ ∠GHJ
∠EGF ≅ ∠JGH
∠GEF ≅ ∠JHG
Answer: ∠GFE ≅ ∠GHJ
Step-by-step explanation:
In triangle EFG, we have side FG (which is opposite angle E) and EF (the side opposite angle G).
For SAS, we need the angle in between these sides, which would be angle F.
Answer:
B.∠GFE ≅ ∠GHJ
Step-by-step explanation:
got it correct on my quiz
help for brainliest and 10 points
Answer:
-3
Step-by-step explanation:
[tex]0.002 = 2 \times {10}^{ - 3} \\ \implies \: x = - 3[/tex]
How to write 12/4 as a whole number
Answer:
3
Step-by-step explanation:
12 Divided By 4 Is 3
And 3 Is A Whole Number
Your answer is 3
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Eight striped ties and 6 polka dot ties are on a
rack in a dark closet. What is the probability
of drawing out one polka dot tie? Write your
answer as a decimal rounded to two decimal
places.
Answer: 6 out of 14 or 3 out of 7
Step-by-step explanation: just add up all the ties and put polka dot ties out of the total and
What is the area of the figure below ?
A. 12
B. 15
C. 18
D. None of these
Step 1: Find the area of the larger rectangle
Area of a rectangle = base x height
Area = 4 x 3 = 12
Step 2: Find the area of the other rectangle
The tricky part about this one is that we aren't given the length of this rectangle. We do know, however, that the whole base of the figure is 6 and 3 units are taken up by the first rectangle. Therefore, the length of this rectangle is 3.
Area = 2 x 3 = 6
Step 3: Find the area of the figure
Now that we know the area of both rectangles by themselves, all that's left to do is add them up.
6 + 12 = 18
Answer: 18
Hope this helps!
Answer:
18
Step-by-step explanation:
A=bh
A=3x4 A=3x2
12+6=18.
please I need help with this question
Answer:
$5.40
Step-by-step explanation:
First, find Dave's purchase. To do this, you multiply 15 by the tax percent and add that to the original.
So:
15 x 8% = 15 x 0.08 = 1.2
15 + 1.2 = 16.2
Next, do the same for Mel's purchase:
20 x 8% = 20 x 0.08 = 1.6
20 + 1.6 = 21.6
Then, you subtract Dave's purchase from Mel's:
21.6 - 16.2 = 5.4
This comes out to $5.40
jack had m math problems to complete during his vacation. he solved the same number of problems every day and finished them all in 5 days. how many problems did jack solve per day.
If Jack finish them all in 5 days, then he can solve m/5 math problem in just one day.
Word problems leading to quadratic equationFrom the given question, jack can only solve m math problems in 5 days, this can be expressed as:
m problems = 5 days
The number of questions he can solve per day is expressed as:
x = 1 day
Take the ratio
m/x = 5/1
5x = m
x = m/5 math problems
This shows that jack can solve m/5 math problem in just one day
Learn more on ratio here: https://brainly.com/question/2328454
Liam is a tyre fitter. it takes him 124 minuets to fit 4 tyre's to a lorry. how long would t take him to fit 6 tyre's to a lorry?
if he works for 93 minuets how many tyre's will he fit?
168 minutes or 2 hours 48 minutes
Step-by-step explanation:
Since 12 tyres is 3 times 4 tyres, it will take 3 times as long as 56 minutes.
3 * 56 minutes = 168 minutes
We can convert the answer to hours and minutes.
60 minutes = 1 hour
120 minutes = 2 hours
168 minutes – 120 minutes = 48 minutes
168 minutes = 2 hours 48 minutes
Answer: 168 minutes or 2 hours 48 minute
A rectangle has an area of 31.2 square millimeters and a heigt of 5.2 millimeters. What is the length of the base
Answer:
6 millimeters
Step-by-step explanation:
The formula for a rectangle is length * height = area.
Since we know the area and height, we can plug it in to the formula:
length * 5.2 = 31.2
So the length is just dividing 5.2 in 31.2 which gives 6 millimeters.
Evaluate the algebraic expression 4y + x - w, when w = 12, x = 10, y = 5 and z = 9.
Answer:
Step-by-step explanation:
simply plug in the given values for the letter and do the math.
4(5) + 10 - 12 = 20+10-12 = 18.
Answer:
18
Step-by-step explanation:
w=12
x=10
y=5
z=9
4 (5)+10-12
20+10-12
BODMAS
addtition then subtraction
20+10=30
30-12
=18
Brainiest please
can anyone pls answer dis math problem
Answer:
the answer would be 3x^2 + 29x + 6/15x(x+2)
Which of the binomials below is a factor of this trinomial?
x^2 + 8x + 16
A. x + 4
B. x - 4
C. x + 8
D. x - 8
The answer is A.
Pick A.
Good luck
When a system contains the equations of two parabolas, there can only be one solution.
True or False
Help please! How many cups for white paint on 1 then white paint on 10!
Answer:
1 is .83 or .80 if your rounding and 10 is 8.3 but if your rounding its just 8
Step-by-step explanation:
Its because 5/6 is .83 so for every 1 white there .83 red