Answer: 3/15 or 1/5
Step-by-step explanation:
Each person will get 1/15 of each watermelon so 3/15 of watermelon that can be simplified to 1/5
Final answer:
Each of the fifteen friends will receive ⅔ of a watermelon when 3 watermelons are shared equally among them.
Explanation:
If fifteen friends want to share 3 watermelons equally, we need to divide the total number of watermelons by the number of friends to find out what fraction of a watermelon each friend will get.
To find the answer, you start with 3 watermelons and divide them by 15 friends, which is:
3 watermelons ÷ 15 friends = ⅔ of a watermelon per friend.
Thus, each friend will get ⅔ of a watermelon.
What’s the surface area of the right cone below? 8;15
Answer:
Circle the 15 in the diagram, that's the correct answer
Answer:
184π units²
Step-by-step explanation:
see attached for reference
given sloped height = 15 units
base radius = 8 units
the height of the cone can be found by using the Pythagorean equation
(sloped height)² = height ² + (base radius)²
15² = h² + 8²
h² = 15²-8² = 161
h = √161
Base surface area = πr² = π 8² = 64π units²
Lateral Surface Area,
= πr √(r² + h²)
= π(8) √[ (8)² + (√161)² ]
= 8π√(64 + 161)
= 8π√225
= 8π (15)
= 120π
Surface area = base area + lateral surface area
= 64π + 120π
= 184π units²
The graph of a proportional relationship contains the point (-30, 18)
What is the value of k for the relationship?
Enter your answer in the box as a fraction in simplest form
k=
Answer:
The answer is k = [tex]-\frac{3}{5}[/tex]
Explanation:
We know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
we have the point (-30,18)
so
x=-30, y=18
Find the value of k
[tex]k=\frac{y}{x}[/tex]
substitute
[tex]k=\frac{18}{-30}[/tex]
Simplify
Divide by 6 both numerator and denominator
[tex]k=- \frac{3}{5}[/tex]
At the start of the month, Suzanne's clothing store website had 7,278 hits. At the end of the month, it had 50,165 hits. If each hit lasted 1.5 minutes, then what was the approximate total number of minutes on the website for this month? A. 64,500 B. 43,651 C. 21,955 D. 102,200
Answer:
Option A. 64,500Explanation:
1. First, calculate the number of hits had during the month, by difference:
50,165 hits - 7,278 hits = 42,887 hits2. Round the result to obtain an approximation = 43,000 hits
3. Multiply by the time that each lasted:
43,000 hits × 1.5 min/hit = 64,500 minutes.Hence, the answer is the option A.
the population of deer in a certain national park can be approximated by the function P(x)=150(1.07)^x, where x is the number of years since 1995. In which year will the population reach 300? Hint: an answer such as 2002.4 would represent the year 2002.
A.2026
B.2005
C.2038
D.2016
Answer:
b. 2005
Step-by-step explanation:
(apex)
300=150(1.07)^x
1.07^x=2
x=ln 2/ln 1.07
=10.24
1995 plus ten years = 2005
hope this helps
Answer:
B. 2005
Step-by-step explanation:
We have been given that population of deer in a certain national park can be approximated by the function [tex]P(x)=150(1.07)^x[/tex], where x is the number of years since 1995. We are asked to find the year in which population will reach 300.
To solve our given problem, we will equate [tex]P(x)=300[/tex] and solve for x as:
[tex]300=150(1.07)^x[/tex]
[tex]\frac{300}{150}=\frac{150(1.07)^x}{150}[/tex]
[tex]2=(1.07)^x[/tex]
Now, we will take natural log on both sides as:
[tex]\text{ln}(2)=\text{ln}((1.07)^x)[/tex]
[tex]\text{ln}(2)=x\text{ln}(1.07)[/tex]
[tex]x=\frac{\text{ln}(2)}{\text{ln}(1.07)}[/tex]
[tex]x=10.2447[/tex]
[tex]x\approx 10[/tex]
Now, we will find 10 years after 1995 that is [tex]1995+10=2005[/tex].
Therefore, the population will be 300 in year 2005 and option B is the correct choice.
Which equation is equivalent to6 + 3(x + 4) = 13?
Two congruent 30-60-90 triangles are placed,as shown,so that they overlap partly and their hypotenuses coincide. If the hypotenuse is 12 cm,find the area common to the both triangles.
The area common to both triangles is [tex]18\sqrt3[/tex] square centimeters.
In a 30-60-90 triangle, the ratio of the side lengths is [tex]1:\sqrt{3} :2[/tex]. Since the hypotenuse is 12 cm, we can determine the lengths of the other sides using this ratio.
The shorter leg (opposite the 30-degree angle) is (1/2) times the hypotenuse, which is (1/2) * 12 cm = 6 cm.
The longer leg (opposite the 60-degree angle) is [tex]\sqrt3[/tex] times the shorter leg, which is 6 * [tex]\sqrt{3[/tex] cm = [tex]6\sqrt3[/tex] cm.
Now, since the two triangles are congruent, the overlapping region forms an isosceles triangle with two sides measuring 6 cm (the shorter leg) and a base measuring [tex]6\sqrt3[/tex] cm (the longer leg).
The base of the isosceles triangle is [tex]6\sqrt3[/tex] cm, and since it's an isosceles triangle, the height is the same as the shorter leg, which is 6 cm.
Common Area = ([tex]6\sqrt3[/tex] cm * 6 cm) / 2 = [tex]36\sqrt3[/tex] cm² / 2 = [tex]18\sqrt3[/tex] cm².
Therefore, the area common to both triangles is [tex]18\sqrt3[/tex] square centimeters.
Read more about congruent triangles,
https://brainly.com/question/15217680
The area common to both triangles is 144 square centimeters.
To find the area common to both triangles, we need to determine the overlapping region, which is a rhombus formed by the intersection of the two 30-60-90 triangles.
First, let's consider one of the 30-60-90 triangles. The sides of a 30-60-90 triangle are in the ratio 1:√3:2. In this case, the hypotenuse is 12 cm, so the sides of the triangle are:
Shorter leg (opposite the 30-degree angle) = 12 cm / 2 = 6 cm
Longer leg (opposite the 60-degree angle) = 6 cm * √3
Now, let's look at the overlapping region, which forms a rhombus. The diagonals of a rhombus are perpendicular bisectors of each other, so each diagonal will be twice the length of the shorter leg of the 30-60-90 triangle.
Diagonal of the rhombus = 2 * 6 cm = 12 cm
The area of a rhombus can be calculated using the formula: Area = (diagonal1 * diagonal2) / 2
In this case, both diagonals are equal (12 cm each), so the area of the rhombus (and hence the common area of the triangles) is:
Area = (12 cm * 12 cm) / 2
Area = 144 cm²
So, the area common to both triangles is 144 square centimeters.
To know more about triangles:
https://brainly.com/question/15142552
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Solve this math problem
Ranking the three from best to worst will be: point, line, plane. The justification is that, the starting concept determines the next one.
Step-by-step explanation:
The connection can be described by starting with the fundamental concept,procedure or strategy that give rise to the others. In this case, to form a line, you need to have points that join to extend infinitely in different directions. This means the point, is the fundamental concept, that will give the line.A plane is an infinite set of points that form a connected flat surface extending infinitely far in all direction. So here again, the plane exist where there is a set of points. However, a plane is named by three points that are in the plane but not in the same line. Hence, before naming a plane, the concept of a line should be considered. Ranking the three from best to worst will be: point, line, plane. The justification is that, the starting concept determines the next one.
Learn More
Point, Line & Plane: https://brainly.com/question/1592203
Keywords : Rank, mathematical concepts, connection, procedures, strategies,
#LearnwithBrainly
Maine has a cold climate in the winter. Which statement about the probability of
temperatures falling below 32°F in Maine during the month of January is most likely true?
The probability cannot be determined before February
The probability is 100.
The probability could be -1.
The probability is closer to 1 than to 0.
Answer:
B. FOR SURE !!!
Step-by-step explanation:
Answer: B
Step-by-step explanation:
Find the altitude of a triangle whose area is 100 cm² and whose base is 20 cm.
Altitude = Cm.
Answer:
altitude = 10 cm
Step-by-step explanation:
Finding the altitude of triangle when area and base is given:
[tex]\sf \boxed{\text{\bf Area of triangle = $\dfrac{1}{2}*base*altitude$}}[/tex]
base = 20 cm
Area of a triangle = 100 sq.cm
[tex]\sf \dfrac{1}{2}*20*altitude = 100\\\\\\[/tex]
10 * altitude = 100
altitude = 100 ÷ 10
altitude = 10 cm
A surfboard has an original price of $259. It is on sale
for 55% off the original price. Find the sale price of
the surfboard.
Answer:
.45($259) = $116.55
The sale price of the surfboard is $116.55.
You are given g(x)=4x^2 + 2x and
f(x) = the integral of g(t) from 0 to x.
How would you find f(6)?
Answer:
324
Step-by-step explanation:
Given:
[tex]g(x)=4x^2+2x\\ \\f(x)=\int\limits^x_0 {g(t)} \, dt[/tex]
Find:
[tex]f(6)[/tex]
First, find f(x):
[tex]f(x)\\ \\=\int\limits^x_0 {g(t)} \, dt\\ \\=\int\limits^x_0 {(4t^2+2t)} \, dt\\ \\=\left(4\cdot \dfrac{t^3}{3}+2\cdot \dfrac{t^2}{2}\right)\big|\limits^x_0\\ \\=\left(\dfrac{4t^3}{3}+t^2\right)\big|\limits^x_0\\ \\= \left(\dfrac{4x^3}{3}+x^2\right)-\left(\dfrac{4\cdot 0^3}{3}+0^2\right)\\ \\=\dfrac{4x^3}{3}+x^2[/tex]
Now,
[tex]f(6)\\ \\=\dfrac{4\cdot 6^3}{3}+6^2\\ \\=288+36\\ \\=324[/tex]
Write the number 393,234,000,034 in words.
Answer:
three hundred and ninety three billion, two hundred and thirty four million, and thirty four.
Step-by-step explanation:
billion is any digit that has seven to nine digits behind it
Answer:
Three hundred and ninety three billion, two hundred and thirty four million and thirty four.
Step-by-step explanation:
749/d ∙ d/749=1
what does D equal?
Final answer:
To find the value of d in the equation 749/d ∙ d/749 = 1, we can simplify the equation and solve for d. Canceling out the like terms and cross multiplying leads us to the solution: d = 1.
Explanation:
To find the value of d in the equation 749/d ∙ d/749 = 1, we need to simplify the equation and solve for d.
We can start by canceling out the like terms: 749 and d. Multiplying the numerators and denominators gives us:
(749/d) ∙ (d/749) = (749 ∙ d) / (d ∙ 749)
Since the two fractions are equal to 1, we can set up the equation:
(749 ∙ d) / (d ∙ 749) = 1
Next, we can cross multiply:
749 ∙ d = d ∙ 749
Now, we can divide both sides of the equation by 749:
d = d ∙ 749 / 749
Simplifying further:
d = 749 / 749
Finally, we arrive at the solution:
d = 1
Chandler is walking 1/16 km every 10 minutes. How many kilometers will he walk in 1 hour?!
Answer:
[tex]\frac{3}{8} or\ 0.375\ km[/tex]
Step-by-step explanation:
Given: Chandler walk 1/16 km every 10 minutes.
First, lets find how many 10 minutes in one hours or convert minutes in hours.
∴ Time= [tex]\frac{60}{10} \ h[/tex]
Now, finding kilometres travelled in 1 hour.
Distance travelled= [tex]\frac{1}{16} \times \frac{60}{10} = \frac{1}{16} \times 6[/tex]
Distance travelled = [tex]\frac{3}{8}[/tex]
Converting [tex]\frac{3}{8} \ km[/tex] into decimal will have 0.375 km.
∴ [tex]\frac{3}{8} or\ 0.375\ km[/tex] will chandler walk in 1 hour.
Between 4:00 p.m. and 7:00 p.m. the temperature in Boxerville dropped 18
degrees. If the temperature at 7:00p.m. is 64 degrees, what was the
temperature in degrees at 4:00 p.m.?
Answer here
SUBMIT
To find the temperature in Boxerville at 4:00 p.m. after a drop of 18 degrees by 7:00 p.m. (with a 7:00 p.m. temperature of 64 degrees), we add the dropped degrees back to find the original temperature was 82 degrees.
The question asks to find the temperature at 4:00 p.m. in Boxerville given that it dropped 18 degrees by 7:00 p.m., and the temperature at 7:00 p.m. is 64 degrees. To solve this, we simply need to add the 18-degree drop back to the 7:00 p.m. temperature to find the original temperature at 4:00 p.m.
To find the temperature at 4:00 p.m., we calculate:
Temperature at 7:00 p.m.: 64 degrees
Temperature drop: 18 degrees
Original temperature at 4:00 p.m.: 64 degrees + 18 degrees = 82 degrees
Therefore, the temperature at 4:00 p.m. was 82 degrees.
a)) A 55 m long and 35 m broad park is surrounded by a 2.5 m wide
(i) Find the area of the path.
Answer:
Area of the path is 475 m².
Step-by-step explanation:
Let us first draw the diagram for the given question.
Here rectangle ABCD represents a park whose length is 55 m and breadth is 35 m. The shaded portion shows the path all around the park whose width is 2.5 m.
Now, length of rectangle ABCD, l = 55 m
breadth of rectangle ABCD, B = 35 m
Now, width of the path = 2.5 m
So, length of rectangle PQRS, L = 55 + 2.5 + 2.5 = 60 m
breadth of rectangle PQRS, B = 35 + 2.5 + 2.5 = 40 m
Now, to calculate the area of shaded portion or the area of the path, we will subtract the area of the park or area of rectangle ABCD from the area of rectangle PQRS.
Now, area of rectangle PQRS, A₁ = L × B = 60 × 40 = 2400 m²
Area of rectangle ABCD, A₂ = l × b = 55 × 35 = 1925 m²
So, area of the path = A₁ - A₂ = 2400 - 1925 = 475 m²
Hence the area of the path is 475 m².
what is 750x+150<1,000
Answer:
1.13 repeated
Step-by-step explanation:
Answer:
1 and 100 over 750
Step-by-step explanation:
Please help!!!!!!.....
Answer:
The diagonals ZX and YW are perpendicular to each other.
Step-by-step explanation:
We have to prove diagonal ZX is perpendicular to diagonal YW.
Now, the coordinates of Z(0,b), and X(2a,b)
Hence, slope of ZX is m = [tex]\frac{b - b}{2a - 0} = 0[/tex]
Therefore, ZX is parallel to x-axis.
Now, the coordinates of Y(a,0) and W(a,4b)
Hence, slope of YW is n = [tex]\frac{4b - 0}{a - a} = \infty[/tex]
Therefore, YW is parallel to y-axis.
Hence, the diagonals ZX and YW are perpendicular to each other. (Proved)
Hellllllllppppppp!!!!!! Quick LIKE QUICK NOW!!!!!! 12 POINTS PLEASE
Answer:
Point T
Step-by-step explanation:
The only point that is right across from (-3,-5) is point T. If you reflect across the Y-axis, you get (3,-5)
A large crane used at a construction site has a
253 foot reel of cable. A 3-foot section of
cable weighs 2 pounds. What is the weight of
the cable on the reel? Write your answer as a
fraction.
Answer:
168.67 lbs
Step-by-step explanation:
given that a 3 foot section of cable weights 2 lbs, i.e
3 feet ---> weighs 2 lbs
1 foot (i.e unit weight) -----> weighs 2/3 lbs
253 feet ------> weighs (2/3) x 253 = 168.67 lbs
arrange the cones in order from lease volume to greatest volume
cone with DIAMETER of 20 & height of 12
cone with DIAMETER of 18 & height of 10
cone with RADIUS of 10 & height of 9
cone with RADIUS of 11 & height of 9
Answer:
Volume of the cone in ascending order.
[tex]V_{2}=270\pi\ units^{3}<V_{3}=300\pi\ units^{3}<V_{4}=363\pi\ units^{3}<V_{1}=400\pi\ units^{3}[/tex]
cone with DIAMETER of 18 & height of 10
cone with RADIUS of 10 & height of 9
cone with RADIUS of 11 & height of 9
cone with DIAMETER of 20 & height of 12
Step-by-step explanation:
Let [tex]V_{2}. V_{3}. and\ V_{4}.[/tex] be the volume of the cone.
Let d, r and h be the diameter, radius and height of the cone.
Given:
[tex]d_{1} = 20\ and\ h_{1}=12[/tex]
[tex]d_{2} = 18\ and\ h_{2}=10[/tex]
[tex]r_{3} = 10\ and\ h_{3}=9[/tex]
[tex]r_{4} = 11\ and\ h_{14}=9[/tex]
Arrange the cones in order from lease volume to greatest volume.
Solution:
The volume of the cone is given below.
[tex]V=\pi r^{2} \frac{h}{3}[/tex]----------------(1)
where: r is radius of the base of cone.
and h is height of the cone.
The volume of the cone for [tex]d_{1} = 20\ and\ h_{1}=12[/tex]
[tex]r_{1} = \frac{d_{1}}{2}[/tex]
[tex]r_{1} = \frac{20}{2}=10\ units[/tex]
[tex]V_{1}=\pi (r_{1})^{2} \frac{h_{1}}{3}[/tex]
[tex]V_{1}=\pi (10)^{2} \frac{12}{3}[/tex]
[tex]V_{1}=\pi\times 100\times 4[/tex]
[tex]V_{1}=400\pi\ units^{3}[/tex]
Similarly, for volume of the cone for [tex]d_{2} = 18\ and\ h_{2}=10[/tex]
[tex]r_{2} = \frac{d_{2}}{2}[/tex]
[tex]r_{2} = \frac{18}{2}=9\ units[/tex]
[tex]V_{2}=\pi (r_{2})^{2} \frac{h_{2}}{3}[/tex]
[tex]V_{2}=\pi (9)^{2} \frac{10}{3}[/tex]
[tex]V_{2}=\pi\times 81\times \frac{10}{3}[/tex]
[tex]V_{2}=\pi\times 27\times 10[/tex]
[tex]V_{2}=270\pi\ units^{3}[/tex]
Similarly, for volume of the cone for [tex]r_{3} = 10\ and\ h_{3}=9[/tex]
[tex]V_{3}=\pi (r_{3})^{2} \frac{h_{3}}{3}[/tex]
[tex]V_{3}=\pi (10)^{2} \frac{9}{3}[/tex]
[tex]V_{3}=\pi\times 100\times 3[/tex]
[tex]V_{3}=\pi\times 300[/tex]
[tex]V_{3}=300\pi\ units^{3}[/tex]
Similarly, for volume of the cone for [tex]r_{4} = 11\ and\ h_{4}=9[/tex]
[tex]V_{4}=\pi (r_{4})^{2} \frac{h_{4}}{3}[/tex]
[tex]V_{4}=\pi (11)^{2} \frac{9}{3}[/tex]
[tex]V_{4}=\pi\times 121\times 3[/tex]
[tex]V_{4}=\pi\times 363[/tex]
[tex]V_{4}=363\pi\ units^{3}[/tex]
So, the volume of the cone in ascending order.
[tex]V_{2}=270\pi\ units^{3}<V_{3}=300\pi\ units^{3}<V_{4}=363\pi\ units^{3}<V_{1}=400\pi\ units^{3}[/tex]
How many times will interest be added to the principal in one year if the
interest is compounded annually?
Answer:
Only 1 time
Step-by-step explanation:
When it is compound interest it can be added in the following ways:
Annually = 1 Time in a year
Semiannually = 2 Times in a year
Quarterly = 4 Times in a year
Monthly = 12 Times in a year
Answer:
2
Step-by-step explanation:
a.p.e.x
Write the equation of the line that passes through (4, -8) and is parallel to the line y = -2x - 13.
Answer:
y=-2x
Step-by-step explanation:
Parallel means same slope.
y-y1=m(x-x1)
y-(-8)=-2(x-4)
y+8=-2x+8
y=-2x+8-8
y=-2x
Please help me! I will give brainliest and 50 points if all correct!
Answer:
10. ○[tex]\displaystyle 4,85; 4\frac{17}{20}[/tex]
9. ○680%
8. ○40%
7. ○[tex]\displaystyle 60[/tex]
6. ○0,4, 40,5%, 11⁄25, 4⁄9
5. ○[tex]\displaystyle 0,928[/tex]
4. ○1%
3. ○76%
2. [tex]\displaystyle See\:above\:grid[/tex]
1. [tex]\displaystyle See\:above\:grid[/tex]
Step-by-step explanation:
10. To convert from a percentage to a decimal, move the decimal mark twice to the left; each 20 is worth 5, and since 5 by 17 is 85, you have your fractional part of 17⁄20, then attach the whole number of 4.
9. To convert from a mixed number\improper fraction to a percentage, first evaluate the fractional part for a decimal answer, then move the decimal mark twice to the right.
8. To convert from a fraction to a percentage, evaluate the fraction for a decimal answer, then move the decimal mark twice to the right.
7. [tex]\displaystyle \frac{132}{220} = \frac{3}{5} =[/tex]60%
Greatest Common Divisor [GCD]: 44
6. [tex]\displaystyle \frac{11}{25} =[/tex]44%
_
[tex]\displaystyle \frac{4}{9} =[/tex]44,4%
[tex]\displaystyle 0,4 =[/tex]40%
Now that these are all percentages, it is alot easier to order them from least to greatest.
5. To convert from a percentage to a decimal, move the decimal mark twice to the left.
4. To convert from a decimal to a percentage, move the decimal mark twice to the right.
3. Each 25 is worth 4, and since 4 by 19 is 76, you get 76%.
2. Each 25 is worth 4, and since 4 by 6 is 24, you get 24%, and this graph.
1. Each 36 is worth 2 7⁄9, and since 12 by 2 7⁄9 is 33⅓, you get 33⅓%, so you would choose this answer.
I am joyous to assist you anytime.
PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!!!
X= __________
Answer:
x-=13
Step-by-step explanation:
9x+2=119
subrtact 2 from both sides
9x=117
divide 9 from both sides
x=13
Answer: x=13
Step-by-step explanation:
Since alternate interior angles are congruent so
9x+2=119
9x=119-2
9x=117
x=117/9
x=13
will award brainliest Which of these is the algebraic expression for "five more than the product of ten and some number?" (3 points) 10 + 5x 5 + 10 + x 10x + 5 5 + 10 ÷ x
Make a conjecture about two different non vertical lines in the same plane that have the same slope
Two different non-vertical lines in the same plane with the same slope are parallel to each other. The slope determines the angle of the line with respect to the x-axis, and lines with the same slope do not intersect if they have different y-intercepts.
Explanation:When making a conjecture about two different non-vertical lines in the same plane that have the same slope, one can conclude that these two lines are parallel to each other. This is because the slope of a line represents the steepness and direction of the line, and lines with the same slope will never intersect and are hence parallel. The slope is determined by the ratio of the rise (change in y) over the run (change in x), and as illustrated in Figure A1, the slope is consistent along the entire length of a straight line. If two lines have the same slope but different y-intercepts, they will maintain the same angle with respect to the x-axis but will be positioned at different locations in the plane.
An example is given in Figure A1, where a line has a y-intercept of 9 and a slope of 3. The slope and y-intercept are represented by the 'm' and 'b' terms in the linear equation y = mx + b. Therefore, even if two lines have the same 'm' value, if their 'b' values are different, the lines will be parallel but not coincident (overlapping).
How many squares will be in the 7th figure
Answer:
17
Step-by-step explanation:
Answer: 56
Step-by-step explanation:
difference goes up by 2 each time.
Which description best represents the equation 25x + 50 = y?
Answer:
see the explanation
Step-by-step explanation:
we know that
The equation of the line in slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope or unit rate of the linear equation
b is the y-intercept or initial value of the linear equation
In this problem we have
[tex]y=25x+50[/tex]
This is the equation of a line in slope intercept form
so
Is a linear equation (the graph is a line)
The slope is positive and is equal to [tex]m=25[/tex]
The y-intercept is the point (0,50) (y-intercept is the value of y when the value of x is equal to zero)
The value of b is [tex]b=50[/tex] (y-coordinate of the y-intercept)
The x-intercept is the point (-2,0) (x-intercept is the value of x when the value of y is equal to zero)
The linear function is a increasing function (the slope is positive)
Write a two column proof
Answer:
this photo should be it