To determine the number of deer in a forest, a naturalist catches, tags, and releases 15 deer. Later, 20 deer are caught, and 6 have tags. Estimate the number of deer in the forest.
Answer:
50 deer in the forest.
Step-by-step explanation:
Since this is a ratio problem and we are given three values and a single unknown (total number of deer) we can use the Rule of three to solve for the variable. We do this by multiplying the diagonal values and then dividing by the last available value. That will give us the value of the variable which in this case would be represented as x.
20 deer <======> 6 tagged
x deer <======> 15 tagged
(20*15) / 6 = x
300 / 6 = 50 total deer
Based on these values we can estimate that there are a total of 50 deer in the forest.
The sum of two numbers is 42. The smaller number is 20 less than the larger number. What are the numbers?
Answer: 22 and 20
Step-by-step explanation: Good luck! :D
Answer:
20+22
Step-by-step explanation:
42-20=22
22+20=42
As a retiring employee, you'll receive 5.96% of your average salary from the last five years you worked with your company.
You plan to retire after 37 years with the company.
Your salaries for your last five years are:
$180,267
$210,325
$126,591
$77,184
$173,175
Calculate your annual retirement salary.
Answer:
9,149.10
Step-by-step explanation:
To get the average you take all the values and add them up then divide by 5.
767,542 divided by 5 = 153,508.40
Now to get the percentage take 5.96 and divide by 100 = 0.0596
With this you can multiple the average by the percent in decimal form.
153,508.40 * 0.0596 = 9,149.10
If your good at math please help me with this question
Answer:
546
Step-by-step explanation:
The lateral area is made up of 4 faces that do not includes the bases.
2 faces have dimensions 2.5 ft by 21 ft.
2 faces have dimensions 10.5 ft by 21 ft.
LA = 2 * 2.5 ft * 21 ft + 2 * 10.5 ft * 21 ft
LA = 105 ft^2 + 441 ft^2
LA = 546 ft^2
Answer: 546
Answer:
493.5
Step-by-step explanation:
to find the surface of the prisim you multiply the perimeter of the base by the height of the prism.
Choose the correct inequality symbol for the following statement.
-4 - (-2) _____ -6
options:
>
<
=
find the perimeter of the triangle 8cm 7cm 5cm
Answer:
20 cm
Step-by-step explanation:
add 8+7+5 = 20 cm as the perimeter
Answer:
perimeter = 8 + 7 + 5 = 20cm
Step-by-step explanation:
sum of all sides = perimeter...
[tex](5x+4) (x-7) =0[/tex]
Date
Name
Linear Equations, Functions, and Inequalities
Finding Solution Sets to Systems of Linear Inequalities
Warm-Up
Identify two solutions for each system of inequalities.
4
*Bonus - Identify one ordered pair that is NOT a solution for each system of inequalities.
Answer:?
Step-by-step explanation:
What comes next in this pattern?
Answer:
П П
П
П П
П
П П
П
Step-by-step explanation:
the pattern goes 10, 9, 16, 16, 10, 9, 16, 16, 10, 9, 16, 16, 10...…
What is the image of (-3,-7) after a reflection over the x-axis?
Linda thinks of three integers. Added two at a time their sums are 80, 93, 87. What are the integers?
Answer:
They are 9, 5 and 8
Step-by-step explanation:
.Any number that has 9 as a factor also
has 3 as a factor. Why is this
Answer:
9 is divisable by 3.
A number that has 9 as a factor can be divided by 9 so it can also be divided by 3.
Serina paid $194.99 for a game system and then bought 2 equally priced games if she spent a total of $284.97 what is the price, P , of one game?
Box A weighs 1.4 pounds, box B weighs 3.2 pound, and box C weighs 2.5 pounds. What is the combined weight of box A and Box C?
Answer:
3.9 pounds
Step-by-step explanation:
Box A=1.4 lbs
Box B=2.5 lbs
Answer= Box A + Box B = 1.4+2.5 lbs
1.4+2.5= 3.9 lbs
At midnight, the temperature in a city was 5 degrees Celsius. The temperature was dropping at a steady rate of 2 degrees Celsius per hour.
Write an inequality that represents t, the number of hours past midnight, when the temperature was colder than -4 degrees Celsius. Explain or show your reasoning.
Show all the values of t that make your inequality true on a number line, like the one shown below.
A number line with the numbers negative 4 through 10, in increments of 2, indicated.
Answer:
(5-2t)<-4
Step-by-step explanation:
The temperature is 5 °C at midnight, and it is dropping at a speed of 2 °C each hour. If it's past midnight, the temperature will be t degrees after t hours ( 5 - 2t ). If the temperature is below - 4 ℃, the inequality can be ( 5-2t ) - 4
Please help!!
Find the center, vertices, and foci of the ellipse with equation
Answer:
center (0;0), vertices (0;10) and (0;-10), foci (0;6) and (0;-6)
Step-by-step explanation:
Answer:
[tex]\boxed{\boxed{C) Center:(0,0);\: Vertices:(-10,0),(10,0);\:Foci:(-6,0),(0,6)}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:conic geometryalgebraPEMDASgiven:[tex] \frac{ {x}^{2} }{100} + \frac{ {y}^{2} }{64} = 1[/tex]to find:centerverticesfocitips and formulas:[tex] \sf ellipse \:equation : \\ \tt\frac{( {x}^{2} - h)}{ {a}^{2} } + \frac{( {y}^{2} - k)}{ {b}^{2} } = 1[/tex][tex] \sf c(h,k)[/tex][tex] \sf v(h \pm a,k)[/tex][tex]\sf F(h\pm c,k)[/tex][tex] \sf c = \sqrt{ {a}^{2} - {b}^{2} } [/tex]let's solve:[tex] \sf rewrite \:the \: given \: equation \: as \: ellipse \: equation \\ \tt \frac{ {(x - 0)}^{2} }{100} + \frac{ ({y - 0)}^{2} }{64} = 1[/tex]since we can see that h and k is 0
therefore
c(0,0)
[tex] \sf vertices :( h \pm a,k)[/tex]
given:a²=100
let's find a
a=√100
a=10
therefore
vertices:(0±10,0)
=(0+10,0) and (0-10,0)
=(10,0) and (-10,0)
[tex] \sf foci : (h \pm c,k)[/tex]
[tex] \tt c = \sqrt{ {a}^{2} - {b}^{2} } [/tex]
[tex] \sf \: c = \sqrt{ {10}^{2} - {8}^{2} } \\ \sf \: c = \sqrt{(10 + 8)(10 - 8)} \\ \sf c = \sqrt{(18)(2)} \\ \sf c = \sqrt{36} \\ \tt c = 6 [/tex]
therefore,
foci:(h±c,k)
=(0±6,0)
=(0+6,0) and (0-6,0)
=(6,0) and (-6,0)
[tex]\text{also see the graph} [/tex]
Every delivery order from a pizzeria has a delivery charge of $1.50. How many dollars b is the total bill for a delivery of one pizza if the pizza costs p dollars? Write an equation to represent the situation
Answer:
p+1.50=b
Step-by-step explanation:
Hope it helps (;
a reflection of the pink triangle is shown. which transformation makes this reflection
Answer:
A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane. When reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed line.
(HELP FAST PLEASE)
Robert runs 2 1/3 laps in 4 1/3 minutes. At this rate how long will it take to run 3 laps?
Answer:
7
Step-by-step explanation:
This is easy. You simply see what 2 1/3 is of 3. The answer is 7.
Please make brainliest!
Answer:
[tex]5 \frac{7}{50}[/tex]
Step-by-step explanation:
we can write the following ratios
laps:time
2.333:4.3333
3:x
To solve this just multiply 4.333 by 1.28571428571 (this is what we mulitplied 2.333 by to get 3)
do this and round to get 5.14 minutes
let's convert this into a fraction just in case
5.14= 514/100 = 257/50 = 5 7/50
In a lab experiment, 80 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 17 hours. How many bacteria would there be after 20 hours, to the nearest whole number?
Answer:
y = 181
Step-by-step explanation:
Doubling Formula:
[tex]y = a(2)^\frac{t}{d}[/tex]
y=80
d=17
t=20
plug in
y=80(2)[tex]^\frac{20}{17}[/tex]
y=180.818525349
y≈181
i hope this helps some!
Answer: 149
Step-by-step explanation:
ASAP! here’s another that that i can’t figure out!! Please help :)))
help ill give brainliest
Answer:
x = 2
y = -3
Step-by-step explanation:
6x+6y = -6
x = -5y-13
substitute for x
6(-5y-13) + 6y = -6
-30y-78+6y = -6
-24y-78 = -6
add 78m to each side
-24y = 72
divide each side by -24
y = -3
x =-5(-3)-13 = 2
10 points please help
Answer:
a. 9(2m+7)
b. 4(3r-1)
Step-by-step explanation:
When factoring out the greatest common factor of expressions, first list the factors of the terms. Then, determine the greatest common factor between the two terms. After, "carry" that number out of the expression through division.
a. 18m+63
Start by listing the factors of 18 and 63.
18: 1, 2, 3, 6, 9, 18
63: 1, 3, 7, 9, 21, 63
The greatest common factor of 18 and 63 is 9, so we can carry 9 out of the expression through division:
18m+63
= 9(2m+7)
b. 12r-4
Start by listing the factors of 12 and 4.
12: 1, 2, 3, 4, 6, 12
4: 1, 2, 4
The greatest common factor of 12 and 4 is 4, so we can carry 4 out of the expression through division:
12r-4
= 4(3r-1)
I hope this helps!
y = −2 4x − 3y = 18 solved by substitution please show work so i can understand :)
Answer:
Step-by-step explanation:
y = -2
4x - 3y = 18
4x - 3(-2) = 18
4x + 6 = 18
4x = 12
x = 3
(3, -2)
Answer:
I love algebra
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
help i don't understand this!
Ben cut the following rockets out of cardboard. The height from the base to the tip of the smaller rocket is 20 cm. The height from the base to the tip of the larger rocket is 120 cm. What percent of the area of the smaller rocket is the area of the larger rocket?
How many acute angles are shown in this figure?
Answer:
there are 4
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
the laptop corner, the purple windows square in the bottom left corner, the O purple on the lower bar and technically all the visable keys are squares as well so many more than 7
y = 2x^2
y = 3x^2 - 4
Graph the quadratic functions y =-2x^2 + 4 on a separate piece of paper. Using those graph, compare and contrast the shape and position of the graphs.
Answer:
y = 2x^2 is a parabola opening up with it's vertex at (0,0)... y=3x^2 -4 is also a parabola opening up, but it is 'thinner' in that it rises in y faster and it's vertex is at (0,-4)
Step-by-step explanation:
all equations of the type y = ax^2 + b are parabolas centered on the y-axis, soo the vertex is always on (0,b)
If a is positive then the parabola opens up,
the bigger a is, the 'thinner' the graph is, i.e. the faster the graph rises
the value of b determines the location of the vertex, if b is added, then the vertex rises over the x-axis, if b is subtracted then the vertex is below the x-axis
CAN SOMEONE PLEASE CHECK MY ANSWER!!!!!
Answer:
It is not correct, but very, very close, so great job!!
Step-by-step explanation:
When doing graphing of this sort, I always use Desmos to check my answers, so just get the website and go to the graphing calculator, type in the function, and you should get your graph.
The only thing you missed was that the other two points are (-3,-1) and (3,-1), rather than 3 and -3.
What is the value of X?
Answer: x=1
Step-by-step explanation:
In any parallelogram, the two diagonal bisects each other. (For visual, please look at the attachment below)
-----------------------------------------------------------------------------------------
Given
6x=5x+1 (They are the two segments of one diagonal. Since they are
bisected, they are equal)
Subtract 5x on both sides
6x-5x=5x+1-5x
x=1
Hope this helps!! :)
Please let me know if you have any questions
In the diagram below, what is the approximate length of the minor arc AB?
A. 28.8 cm
60°
30 cm
B. 62.8 cm
c.
C. 15.7 cm
D. 31.4 cm
Answer:
31.4 cm , just did the quiz
Step-by-step explanation:
The length of the minor arc is 31.4 cm of the given circle.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Arc length is the distance between two points along a section of a curve.
The formula for arc length is θ/360×2πr
Arc length = θ/360×2πr
Where θ is the central angle and r is the radius of the circle.
θ = 60 degrees and r is 30 cm
Plug in the value of θ and r
Arc length = 60/360 × 2×3.14×30
=1/6×60×3.14
=188.4/6
=31.4
Hence, the length of the minor arc is 31.4 cm of the given circle.
To learn more on Circles click:
https://brainly.com/question/11833983
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