Answer:
32minutes
Step-by-step explanation:
time for 150 people=20 min
time taken for 1 person =20÷150
time taken for 240 people=20÷150×240
=32
hope this helps
plz mark me brainliest
Step-by-step explanation:
Step 1: Make an equation
[tex]\frac{time_1}{people_1} = \frac{time_2}{people_2}[/tex]
[tex]\frac{20}{150} = \frac{x}{240}[/tex]
Step 2: Cross multiply
[tex]20(240) = 150(x)[/tex]
[tex]4800 = 150x[/tex]
Step 3: Divide both sides by 150
[tex]4800 / 150 = 150x / 150[/tex]
[tex]32 = x[/tex]
Answer: Option C, 32 min
ainsley works for the owners of bookstore . Her starting salary was $24,500, and she gets a 3% raise each year. What will ainsleys salary be when she begins her fourth year working at the bookstore? show your work
Answer:
26771.8115
Step-by-step explanation:
24500(1.03)=25235 then continue doing this 2 more times and you get 26771.8115
Find the area of the triangle. Pls help!
Answer:
84 mm^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 b *h
The base is 14 and the height is 12
A = 1/2 (14*12)
A = 84 mm ^2
Area of a triangle formula: A = 1/2bh
Solve using the values given in the picture.
A = 1/2(14)(12)
A = 1/2(168)
A = 84
Therefore, the volume of the triangle is 84mm²
Best of Luck!
A spinner numbered 1 through 12 is spun. Find the probability that
the number spun is an 11 given that the number spun was an odd
number. Please write your answer as a fraction.
Answer:
[tex]\dfrac{1}{6}[/tex]
Step-by-step explanation:
Let A be the event of getting an odd number.
P(A) be the probability of getting an odd number.
Total odd numbers here are 6 i.e. [tex]\{1,3,5,7,9,11\}[/tex]
Here, total numbers in the game are 12 i.e [tex]\{1,2,3,....,12\}[/tex].
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
[tex]P(A) = \dfrac{6}{12}\\\Rightarrow \dfrac{1}{2}[/tex]
Let B be the event of getting 11.
P(B) be the probability of getting 11.
Total number of possible cases is 1.
[tex]P(B) = \dfrac{1}{12}[/tex]
[tex]P(A \cap B)[/tex] is the probability that we get 11 and an odd number.
Possible number of cases = 1
[tex]P(A\cap B) = \dfrac{1}{12}[/tex]
P(B/A) is the probability that we get an 11 given that it is an odd number.
[tex]P(B/A) = \dfrac{P(A \cap B)}{P(A)}\\\Rightarrow \dfrac{\dfrac{1}{12}}{\dfrac{1}{2}}\\\Rightarrow \dfrac{1}{6}[/tex]
Hence, P(B/A) = [tex]\dfrac{1}{6}[/tex]
Answer:
The probability in fraction is [tex]\frac{1}{12}[/tex].
Step-by-step explanation:
Total number of outcomes is = 12
Now we have to find the probability that spun number is 11.
That means favorable outcome is 1.
In this case, the probability can be determined by dividing the number of favorable outcomes by the total outcome. Accordingly, the total outcomes are 12 and favorable outcome is 1.
[tex]\text{P(The spun number is 11)}= \frac{\text{Favorable outcomes}}{\text{total outcomes}} \\\text{P(The spun number is 11)}= \frac{1}{12} \ (in \ fraction)\\\text{P(The spun number is 11)} = 0.083 \ (in \ decimal)[/tex]
Please please thank you
Answer:
option 2
452.16
You would need to use this equation...
V=πr²h
3.14 * (4)² * 9
= 452.16 cm³
The smaller triangle was dilated to form the larger triangle. What is the value of x? A smaller triangle has side lengths of 3 and 5. A larger triangle has side lengths of 9 and x + 1.
Answer:
x = 14
Step-by-step explanation:
As the triangle was dilated, all its sides increased by the same ratio.
So, as one side was 3 and then increased to 9, the ratio is:
ratio = 9 / 3 = 3
So, using this same ratio for the other side given, we can find the value of x.
The larger side of length x+1 is 3 times greater than the small side of length 5:
x + 1 = 3 * 5
x + 1 = 15
x = 14
Answer:
C: 14
Step-by-step explanation:
Find the volume of the cone rounded to the nearest tenth.
Answers: 1. 113.1 cm3
2. 1,224.1 cm3
3. 414.7 cm3
4. 760.3 cm3
PLEASEEEE HELPPPP!!!!
Horatio transferred a balance of $2600 to a new credit card at the beginning
of the year. The card offered an introductory APR of 4.3% for the first 5
months and a standard APR of 13.7% thereafter. If the card compounds
interest monthly, which of these expressions represents Horatio's balance at
the end of the year? (Assume that Horatio will make no payments or new
purchases during the year, and ignore any possible late payment fees.)
O A 152800(0,00)" (.cz
O B. (120)(1.0) (2017
(32001, 2003" (1.1980
O D. (2000, 1900 og
O C. ($2600) 1+
Answer:
Step-by-step explanation:
2600(1+0.043/12)^6(1+0.137/12)^7
5) The radius of a circle is 6mm. If the sector area is 14.14 mm2, what is the degree measure of the sector?
Answer:
Step-by-step explanation:
sector area = angle/360 * pi * r^2
14.14 = angle/360 * 22/7 * 6^2
14.14 = angle/360 * 22/7 * 36
(360 * 14.14 * 7)/(22 * 36) = angle
angle = 44.99 = 45 degrees
What is the value of q2– p2 for q = 4 and p = 2?
O A. 2
B. 4
C. 8
O D. 12
E.
14.
Answer:
q2- p2
4*2-2*2
8-4
B.4
Step-by-step explanation:
The value of q² - p² is 12 for the given value of p and q.
What is Function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
Given, The value of p = 2 and q = 4
the value of q² - p² for the given value
=> q² - p² = 16 - 4
=>q² - p² = 12
therefore, For the specified values of p and q, the value of q2 - p2 is 12.
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Please show work, and i will mark brainliest to first correct answer
Answer:
The volume of Prism will be "189888 inches".
Step-by-step explanation:
L = 43in.
W = 92in.
H = 4ft.
Convert ft. into in.
4 x 12
H=48in.
Volume or V = BH
and
B= L X W
B = 43 X 92
B = 3956 in.
then,
Volume = 3956 x 48 inches
Volume = 189888 inches
A rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of 1/2 unit. How many 1/2 unit cubes does it take to fill the prism?
Answer:
3.45
Step-by-step explanation:
first you use a calculator.
The Duquesne Incline in Pittsburgh, Pennsylvania, has an angle of elevation of 30º. The track has a length of about 800 feet. Find the height of the incline.
The height of the Duquesne Incline in Pittsburgh, Pennsylvania, is approximately 400 feet.
To find the height of the incline, we can use trigonometry, specifically the sine function.
Let's consider the triangle formed by the incline track, where:
The angle of elevation (angle between the incline track and the ground) is 30 degrees.
The length of the incline track (base of the triangle) is about 800 feet.
We want to find the height of the incline (the side of the triangle opposite the 30-degree angle).
Using the sine function, we have:
[tex]sin(angle) = opposite\ side / hypotenuse[/tex]
In this case, the angle is 30 degrees, the opposite side is the height (h) of the incline, and the hypotenuse is the length of the incline track (800 feet).
So, the equation becomes:
[tex]sin(30^o) = h / 800[/tex]
h = 800 * 0.5
h = 400 feet
Therefore, the height of the incline is approximately 400 feet.
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Find the quotient.
3 divided by 3636
A. 1,212
B. 1,202
C. 122
D. 112
E. 102
help asap!!
A pond is initially stocked with 1000 catfish, and the fish population is then sampled each month to estimate its size. It is determined to be increasing at a rate of 1.5% each month. What is the projected population after one year?Which function represents exponential decay?
Answer:
A year is 12 months long. 1.5 percent each month would total 18 percent in a year. 18 percent of 1000 is 180. The final number of fish is 1180
Step-by-step explanation:
At a camp, kids can choose swimming, art, or music.
40 kids choose swimming, 16 choose art, and 24 choose music.
What is the ratio of kids who choose art to kids who choose swimming?
Answer:
3:5
Step-by-step explanation:
all figures can be divided by 8, so
swimming- 40/8= 5
arts 16/8= 2
music 24/8= 3
therefore, the ratio would be 3:5
Answer:
3/5
Step-by-step explanation:
I took it but got it wrong so i did the math problem and got this 3/5
(PLEASE ANSWER QUICK!) Why is it important to understand properties of angles and figures to solve problems?
Answer:
The relationships, properties, and theorems will be easier to understand when ... Just like you don't want to do a geometry problem without all the given ... In case you want to get a head start… here are arguably some of the most important theorems for triangles: ... In the figure below, both congruent angles have one arch.
Step-by-step explanation:
A swimming pool has 30 gallons of water in it. Water is added to the pool at a rate of 5 gallons per second. Which equation models the relationship between W, the number of gallons of water, and t, the number of seconds water is being added to the swimming pool?
Answer:
W= 30+5t
Step-by-step explanation:
Answer:
w=30 + 5t
Step-by-step explanation:
A grain silo has the dimensions shown. (height of 60, diameter of 20). The top of the silo is a hemispherical shape. Find the volume of the grain silo.
Answer:
[tex]20943.96 ft^3[/tex]
Step-by-step explanation:
The silo is shaped as a cylinder with a hemisphere on top of it.
We need to find the volume of the shape.
The volume of a cylinder is given as:
[tex]V = \pi r^2h[/tex]
where r = radius
h = height
The volume of a hemisphere is given as:
[tex]V = \frac{2}{3} \pi r^3[/tex]
where r = radius
Therefore, the joint volume of both shapes is:
[tex]V = \pi r^2h + \frac{2}{3} \pi r^3[/tex]
The height of the silo is 60 and the diameter is 20.
This means that the radius is 10.
The cylindrical part of the silo and the hemispherical part have the same radius, 10.
The volume of the silo is:
[tex]V = \pi * 10^2 * 60 + \frac{2}{3} * \pi * 10^3\\ \\V = 18849.56 + 2094.40\\\\V = 20943.96 ft^3[/tex]
The volume of the silo is [tex]20943.96 ft^3[/tex]
Which of the figures is not a net for a cube? Explain.
What is 2(n-1)+4n=2(3n-1)
Answer:
Infinite solutions
Step-by-step explanation:
Distribute the 2 to (n - 1), and distribute the 2 to (3n - 1), like so:
2(n - 1) + 4n = 2(3n - 1)
2n - 2 + 4n = 6n - 2
Add like terms (2n and 4n):
6n - 2 = 6n - 2
Subtract 6n from both sides:
-2 = -2
Since we ended up with the same term on both sides, we can't do anything else, meaning this equation has infinite solutions.
Please hurry!
Which of the following is true of the values of x and y in the diagram below?
A. y < x
B. y > x
C. y + x = 1
D. y/x = 1
Answer:
y/x = 1
Step-by-step explanation:
sin 45 = cos 45 = y /1 = x/1
so y = x
or y/x =1
How many line segments are shown in the drawing
Answer:
i cant see the drawing :(
Step-by-step explanation:
i wish i could help tho
Answer: 1
Step-by-step explanation:
it is correct
Ming would like to buy a plane ticket so she can visit her family this Thanksgiving, which is November 26. She has found that tickets for flights on days closer to Thanksgiving are more expensive than flights on days further away from Thanksgiving. A calendar from an airline company showing ticket prices by day is below.
Answer:
$165
Step-by-step explanation:
Answer:
156$
Step-by-step explanation:
why is tesla stock increasing/decreasing in value
Answer:
elon musk
Step-by-step explanation:
elon sends out random, uncalled for tweets, which mess with the stock value.
For example, when the stock was very high, he tweeted,"Tesla stock too high"
I really need help please.
I need the 8 characteristics of a square in the quadrilaterals!
I found some of them in internet but is very confusing, please heeeeeeelp :"(
Answer:
In Euclidean geometry, a quadrilateral is a four-sided 2D figure whose sum of internal angles is 360°. The word quadrilateral is derived from two Latin words ‘quadri’ and ‘latus’ meaning four and side respectively. Therefore, identifying the properties of quadrilaterals is important when trying to distinguish them from other polygons. So, what are the properties of quadrilaterals? There are two properties of quadrilaterals:
Step-by-step explanation:
Emma jogs 2 miles along the beach in 1 3 of an hour. If she travels at a constant rate, how far will she jog in an hour? 1. Use the known information to write a rate. Emma's rate: 2 miles 1 3 hours 2. Write an equivalent rate with a denominator of 1. 2(3) miles 1 3 (3) hours = ? 1 hour She will jog miles.
Answer:
Step-by-step explanation:
Emma jogs 2 miles along the beach in 1/3 of an hour. At a constant rate, the distance that she jogs on 1 hour would be
Let x represent the number of mikes that she would jog in 1 hour.
If 2 miles = 1/3 of an hour, then
x = 1 hour
Cross multiplying, it becomes
x × 1/3 = 2 × 1
x/3 = 2
x = 3 × 2 = 6 miles
The equivalent rate with a denominator of 1 is 6/1 miles
Answer:
The Answer Is 6.
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caroline works 8 hours a day 5 days a week she earns £440 each week
how much does she earn per hour ?
Answer:
She earns £11 per hour
Step-by-step explanation:
You divide £440 with 5 days of the week and then you get how much she earns in a day. And then you devide with 8 and u get £11.
Caroline will earn £11 for working per hour.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that caroline works 8 hours a day 5 days a week she earns £440 each week.
The earnings for an hour will be calculated as,
Total hours = 8 x 5 = 40 hours
Earning per hour = £440 / 40
Earning per hour = £11
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Train A has a speed 20 miles per hour greater than that of train B. If train A travels 270 miles in the same times train B travels 210 miles, what are the speeds of the two trains?
Answer:
speed of train A = 70 + 20 = 90 miles per hour
speed of train B = 70 miles per hour
Step-by-step explanation:
Let
speed of train B = a
speed of train A = a + 20
Recall
speed = distance/time
The travel time is same for both train. Therefore, let us make time subject of the formula in the speed equation.
Time = distance/speed
270/a + 20 = 210/a
cross multiply
270a = 210(a + 20)
270a = 210a + 4200
270a - 210a = 4200
60a = 4200
divide both sides by 60
a = 4200/60
a = 70
speed of train A = 70 + 20 = 90 miles per hour
speed of train B = 70 miles per hour
13 POINTS!!!
In ΔJKL, j = 74 inches, k = 14 inches and l=67 inches. Find the measure of ∠L to the nearest degree.
Answer:
55°
Step-by-step explanation:
Using cosine law
67² = 74² + 14² - 2(74)(14)cos(L)
cos(L) = 169/396
L =55.18378419
The measure of angle L to the nearest degree is 55°.
What is Law of Cosines?Law of cosines of triangle states that for three length of sides of the triangle, a, b and c opposite to the angles A, B and C respectively can be related as,
a² = b² + c² - 2bc cos(A)
Given, for a triangle JKL,
j = 74 inches, k = 14 inches and l = 67 inches.
We can use law of cosines to find the measure of angle L.
Using the law of cosines,
l² = j² + k² - 2jk cos(L)
67² = 74² + 14² - (2×74×14) cos(L)
4489 = 5476 + 196 - 2072 cos(L)
4489 = 5672 - 2072 cos(L)
-1183 = - 2072 cos(L)
cos (L) = 0.5709
L = 55.18° ≈ 55°
Hence the measure of angle L is 55°.
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A rectangle perimeter and its are have the same numerical value. The width of the rectangle is 3 units. What is the length of the rectangle in units
Answer:
six
Step-by-step explanation:
3x6=18 and 3+3+6+6= 18.