Answer:
Je pense que la réponse est 15 jours
Step-by-step explanation:
There is a spinner with 15 equal areas, numbered 1 through 15. if the spinner is spun one time, what is the probability that the result is a multiple of 4 and a multiple of 3?
9514 1404 393
Answer:
1/15
Step-by-step explanation:
The only area that is a multiple of 4 and 3 is the one marked with a 12. The probability that the spinner will land on any one of the 15 areas is 1/15.
The probability of landing on a number that is a multiple of both 4 and 3 when spinning a spinner with 15 equal areas numbered 1 through 15 is 1/15, since there is only one number that satisfies both conditions, which is the number 12.
To determine the probability that the result is a multiple of 4 and a multiple of 3 when spinning a spinner with 15 equal areas numbered 1 through 15, we first need to find the numbers on the spinner that meet both criteria.
A multiple of 4 and 3 is also a multiple of 12, since lcm(4,3) = 12. The multiples of 12 within the range of numbers 1 through 15 are just the number 12 itself. So there is only one number on the spinner that is a multiple of both 4 and 3.
The probability (P) of landing on that number is:
P = (Number of favorable outcomes) / (Total number of possible outcomes)
P = 1 / 15
Therefore, the probability is 1/15
What is the volume of the oblique cylinder rounded to the nearest cm^3?
Answer: [tex]32009355.90cm^3[/tex]
Step-by-step explanation:
Formula: [tex]V=Bh\\[/tex]
Since the base is a circumference, we can replace B for the area of a circumference formula.
[tex]V=\pi r^2h[/tex]
What we have here is 12 ft as the diameter of the circumference. A diameter is twice the radius, therefore we can conclude that if we take the diameter and divide it by 2, it will give us the radius.
[tex]12/2=6ft[/tex] this is the radius.
Now plug all this information into your formula.
[tex]V=(3.14)(6ft)^2(10ft)\\V=(3.14)(36ft^2)(10ft)\\V=1130.40ft^3[/tex]
Our values are in feet but the question requires cm. Let's convert from [tex]ft^3[/tex] to [tex]cm^3[/tex].
Normally, our conversion factors are raised to the power of 1, but in this case it's raised to the power of 3. So, first let's see how many cm are 1 ft.
[tex]1ft=30.48cm[/tex]
Here is where magic comes. We can raise both to the power of 3, in order to find the cubic ft and cm that we need as our conversion factors.
[tex](1ft)^3=(30.48cm)^3\\1ft^3=28316.8cm^3[/tex]
Now we have our conversion factors.
[tex]1130.40ft^3(\frac{28316.84cm^3}{1ft^3})=32009355.90cm^3[/tex]
There are 9⋅54 sheep spread across 18⋅52 square miles of land. Find the average number of sheep per square mile. Round your answer to the nearest whole number.
Answer:
There is an average of approximately 1 sheep per square mile.
Step-by-step explanation:
Given there are 9.54 sheep spread across 18.52 square miles of land.
The average number of sheep per square mile is given as
A = 9.54/18.52
Without using a calculator, this is by inspection, about 9/18 = 0.5.
Using a calculator, we have
A = 9.54/18.52 = 0.51511879
Approximately 1 sheep per square mile.
Find the least common multiple of 7 3 2
You have a cat who has a mass of 10kg and is chasing a mouse with an acceleration of 10 m/s2. If it runs into a wall what force will be exerted by the cat?
Given:
mass of cat ( m ) = 10 kgAcceleration ( a ) = 10 m/s²To find out:
If it runs into a wall what force will be exerted by the cat?
Formula used:
Force = mass × acceleration
Solution:
Force = mass × acceleration
Now, Putting these values of m and a in the above equation.
we get:
F = 10 × 10
= 100 N
Thus, the force will be exerted by the cat is 100 N.
The force exerted by the cat when it runs into a wall can be calculated using Newton's Second Law of Motion, resulting in a force of 100 Newtons.
Explanation:The subject of this question pertains to the concept of Newton's Second Law of Motion, which states that the force applied to an object is equal to the mass of the object multiplied by its acceleration. Here, the cat is considered the object in motion. The cat's mass is 10kg, and its acceleration is given as 10 m/s².
By substituting these values into Newton's second law (Force = mass x acceleration), we can calculate the force exerted by the cat as it runs against a wall: Force = 10kg x 10 m/s² = 100 N (Newtons). Therefore, the cat will exert a force of 100 Newtons when it runs into the wall.
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Use the box-and-whiskers plots below to answer questions about the math test scores of two different classes. A box-and-whisker plot labeled Class A. The number line goes from 5 to 14. The whiskers range from 6.5 to 12.5 and the box ranges from 7.5 to 11. A line divides the box at 9. A box-and-whisker plot labeled Class B. The number line goes from 5 to 14. The whiskers range from 6 to 12 and the box ranges from 7.2 to 9. A line divides the box at 8.2. Which class had the higher median score? Which class, as a whole, scored better on the test? a. Class B had the higher median score. Class A scored better on the test. b. Class B had the higher median score. Class B scored better on the test. c. Class A had the higher median score. Class A scored better on the test. d. Class A had the higher median score. Class B scored better on the test.
The correct option is Class A had the higher median score. Class A scored better on the test.
What is the correct option?A box plot is used to study the distribution and level of a set of scores. The box plot consists of two whiskers that represents the maximum and minimum numbers.
On the box, the first line to the left represents the lower quartile. The next line on the box represents the median. The third line on the box represents the upper quartile.
The median of class A = 9
The median of class B = 8.2
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If the Interest earned is 119.88 and the the interest rate is 3.6 and the time is 3 years what is the principal
Answer:
that is the solution to the question
Final answer:
To calculate the principal with an interest of $119.88, an interest rate of 3.6%, and a time of 3 years, use the simple interest formula. By rearranging the formula and doing the math, the principal amount is found to be $1,110.
Explanation:
To find the principal amount when you know the interest earned, the interest rate, and the time, you can use the formula for simple interest which is Interest = Principal × rate × time. Our goal is to rearrange the formula to solve for the principal.
Given that the Interest earned is $119.88, the interest rate is 3.6% (or 0.036 when converted to a decimal), and the time is 3 years, we can plug these values into the formula:
Interest = Principal × rate × time
$119.88 = Principal × 0.036 × 3
$119.88 = Principal × 0.108
To find the Principal, divide the interest earned by the product of the rate and time:
Principal = $119.88 / 0.108
Principal = $1,110
The principal amount is $1,110.
there are 4/7 as many girls as there are boys. There are 66 students in the fifth grade. How many students are girls?
Compare √7 and √12 plotted on the number line. What is the approximate difference in tenths between the two values? A number line going from 0 to 4. Points StartRoot 7 EndRoot and StartRoot 12 EndRoot are plotted. StartRoot 12 EndRoot is greater thanStartRoot 7 EndRoot.
0.8
Answer:
o.8
Step-by-step explanation:
trust me im doing it
Please Help me i dont understand this.
2. (5 points) Write a recursive rule for the arithmetic sequence: 3.9, 8.2, 12.5, 16.8, 21.1, ...
Answer:
a subscript n=4.3(n-1)+3.9
Step-by-step explanation:
How many centimeters are in x meters???
Answer:
One centimeter is equal to 10 millimeters. It is also equal to 0.1 decimeter and 0.01 meter. One kilometer contains 100,000 centimeters.
Step-by-step explanation:
thank me and rate me!!!plz thank you :)
Answer: 100x centimeters
Step-by-step explanation:
We know that 100 centimeters are in every meter. To find the number of centimeters in X amount of meters, we multiply X by 100. Take for example 4 meters. 4 times 100 equals 400. We then know that there are 400 centimeters in 4 meters.
I have to find the missing coordinates please help!
Answer:
4.8 or 4 4/5
Step-by-step explanation:
Put the given value into the equation and solve for the missing one.
(3/5)(6) -(1/3)y = 2
3.6 -y/3 = 2 . . . simplify to decimal form
-y/3 = -1.6 . . . . subtract 3.6
y = 4.8 . . . . . . . multiply by -3
The missing number is ...
4.8 = 4 4/5
_____
The coefficients are given as fractions, so the answer may be expected in mixed-number form.
Each school bus going on the field trip holds 36 students and for adults there are six Fields buses on the field trip how many people are going on the field trip
Answer:
240 people
Step-by-step explanation:
According to the given data,
In each bus,there are total number of 36 students and 4 adults
So, total 40 people are in one bus so...
As, there are six Fields buses
=>40 x 6
=240
Answer: Total 240 people are going on the field trip.
To calculate the total number of people going on the field trip, multiply the number of students and adults by the number of buses and sum the result, resulting in 240 people.
Explanation:The question relates to the calculation of the total number of people going on a field trip with a given number of students and adults per bus and a total number of buses. To find out how many people in total are going on the field trip, we need to multiply the number of students and adults by the number of buses and add up the results.
Each bus holds 36 students and 4 adults. With 6 buses on the field trip, we calculate the total number of people by multiplying the number of buses by the total capacity per bus (students plus adults): (36 students + 4 adults) × 6 buses.
So, the calculation is as follows:
40 people per bus × 6 buses = 240 people going on the field trip.
Find the area of each triangle.
1. a = 6ft, b = 11ft, c = 12ft
2. a = 2in, b = 4in, C = 38°
The price p and the quantity x sold of a certain product obey the demand equation p equals negative one fifth x plus 30 comma 0 less than or equals x less than or equals 150 (a) Express the revenue R as a function of x. (b) What is the revenue if 70 units are sold? (c) What quantity x maximizes revenue? What is the maximum revenue? (d) What price should the company charge to maximize revenue?
Answer:
The correct answer is a) R = = - [tex]\frac{1}{5}[/tex] [tex]x^{2}[/tex] + 30x; b) $ 1120; c) Maximum quantity is 75 units with maximum revenue being $1125; d) p = $15.
Step-by-step explanation:
Demand equation: p = - [tex]\frac{1}{5}[/tex]x + 30 , 0 [tex]\leq[/tex] x [tex]\leq[/tex] 150 ; where p is the price of the product and x is the quantity sold.
a) Revenue function by the problem is given to be R= p × x = - [tex]\frac{1}{5}[/tex] [tex]x^{2}[/tex] + 30x.
b) Revenue at x = 70 is given by 2100 - 980 = $ 1120.
c) For maximizing the R we differentiate it with respect to x and equate it to zero.
⇒ - [tex]\frac{2}{5}[/tex] x + 30 =0
⇒ x = 75.
As the second order derivative is negative at this point, this is the value of x that maximizes the revenue.
Maximum Revenue is at x = 75 and is equal to $1125.
d) Price charged by the company for maximum revenue is $15.
Name 2 characteristics of the Polar Coordinate System
The polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction. Here are two key characteristics of the polar coordinate system:
1. Radial Distance (Radius): In the polar coordinate system, the location of a point is determined first by its distance from a fixed point, called the pole, analogous to the origin in the Cartesian coordinate system. This distance is often denoted as \( r \), and it can be thought of as the radius of a circle centered at the pole, with the point lying on the circumference of this circle.
2. Angular Coordinate (Angle): The second characteristic of a point's location in the polar coordinate system is the angle [tex]\( \theta \)[/tex] (theta), which is measured from a fixed direction, typically the positive x-axis of the corresponding Cartesian coordinate system. This angle, usually measured in degrees or radians, determines the direction of the line from the pole to the point.
These two values, [tex]\( r \)[/tex] and [tex]\( \theta \)[/tex], are called polar coordinates, and they provide an alternative to the Cartesian (rectangular) coordinate system for representing points on a plane, particularly useful in scenarios where the geometry or the nature of the problem is radially symmetric, such as in the cases of circular motion or fields (gravitational, electric, etc.).
Two hikers are 33 miles apart and walking toward each other. They meet in 5 hours. Find the rate of each hiker if one hiker walks 4.4 mph faster than the other.
Answer:
slow hiker rate= 1.1mph and fast hiker rate= 5.5 mph
Step-by-step explanation:
lets consider the Speed of the slow hiker =x
Then Speed of fast hiker =x+4.4
As we know that distance is the product of speed and time
therefore,
Distance covered by slow hiker in 5 hours = 5x km
Distance covered by fast hiker in 5 hours=5 (x+4.4)=5x+22 km
As they are are 33 miles apart , therefore
5x + 5x+22 = 33
10x = 33-22
10x = 11
x =11/10 => 1.1
Rate of slow hiker is x i.e 1.1mph
Rate of fast hiker = x+4.4 => 5.5 mph
Answer:
slower hiker's speed = 1.1 mph
faster hiker's speed = 5.5 mph
Step-by-step explanation:
Extracting the key information from the question:
*** Two hikers are 33 miles apart and are walking towards each other.
*** One of them walks 4.4 mph faster than the other and later met themselves in 5 hours.
*** We are required to find the speed of each of the hikers.
Speed = distance/time
Let us use "x" to represent the slower speed. Since one of the hikers was 4.4 mph faster than the other hiker, we can represent the faster speed with x+4. Now, if they met themselves in 5 hours, even though they were 33 miles apart initially, then we can represent the situation with the given equation:-
(x mph × 5hours) + [(x+4.4)×5] = 33 miles
5x + (5x + 22) = 33
5x + 5x + 22= 33
10x + 22 = 33
10x = 33-22
10x = 11
x = 11/10
x = 1.1mph (speed of slower hiker)
The speed of the faster hiker = x + 4.4
= 1.1 + 4.5
= 5.5mph
The distance between two cities on a map is 2 inches. The map scale is 1/4 inch = 5 miles. What is the actual distance between the cities?
Answer: The actual distance is 40 miles.
Step-by-step explanation:
First, it’s always easier for the first unit to be 1, so it’s easier to convert. To do get one from 1/4, you would multiply by 4.
1/4 x 4 = 1
However, we all know that if you do something to one side, you must do it to the other side, so we multiply 5 by 4.
5 x 4 = 20.
Your equation know looks like this:
1 inch = 20 miles.
Now, we just multiply both sides by 2, since that the amount of inches we need.
1 x 2 inches = 20 x 2 miles
2 inches = 40 miles
Therefore, the actual distance is 40 miles.
Can someone please help me answer this question ASAP.
( solve the system of equations using substitution)
Answer:
(-8, -1)
Step-by-step explanation:
The problem tell us that y = -1. Plug in this y-value to wherever you see a y in the first equation. You should be able to solve from there. Your solution will be (-8,-1).
-2x - 3(-1) = 19
-2x + 3 = 19
-2x = 16
x = -8
For this particular problem, you could have also looked at the answer choices and seen that there was only one answer with the correct y-value.
5. The measures of angles of hexagon are 4x, 5x, 6x, 7x, 8x and 9x. Calculate the size of the largest angle
Answer:
166 2/13 deg
Step-by-step explanation:
The sum of the measures of the interior angles of a convex polygon of n sides is 180(n - 2).
A hexagon has 6 sides, so n = 6.
sum of measures of angles = 180(n - 2) = 180(6 - 2) = 180(4) = 720
4x + 5x + 6x + 7x + 8x + 9x = 720
39x = 720
x = 720/39
x = 240/13
The largest angle has measure 9x.
9x = 9 * 240/13 = 2160/13
2160/13 = 166 2/13
Answer: 166 2/13 deg
the size of largest angle is [tex]166\frac{2}{13}[/tex] degree
What is hexagon?Hexagon is a two-dimensional geometrical shape that is made of six sides, having the same or different dimensions of length. Some real-life examples of the hexagon shape are a hexagonal floor tile, pencil cross-section, clock, a honeycomb, etc. It can be either regular (with 6 equal side lengths and equal angles) or irregular (with 6 unequal side lengths and angles).
According to the question,
The sum of the measures of the interior angles of a convex polygon of n sides is 180(n - 2).
A hexagon has 6 sides, so n = 6.
sum of measures of angles = 180(n - 2)
= 180(6 - 2)
= 180 × 4
= 720
4x + 5x + 6x + 7x + 8x + 9x = 720
39x = 720
x = 720/39
x = 240/13
The largest angle has measure 9x.
9x = 9 × 240/13 = 2160/13
[tex]\frac{2160}{13}[/tex] = [tex]166\frac{2}{13}[/tex]
Hence, the size of largest angle is [tex]166\frac{2}{13}[/tex] degree
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What is the diameter of a circle with the equation (x + 6)2 + (y − 4)2 = 16?
Answer:
8 units
Step-by-step explanation:
[tex] {(x + 6)}^{2} + {(y - 4)}^{2} = 16 \\ {(x + 6)}^{2} + {(y - 4)}^{2} = {4}^{2} \\ equating \: it \: with \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ {r}^{2} = {4}^{2} \implies \: r = 4 \\ d = 2r = 2 \times 4 = 8 \: units[/tex]
Hence, diameter of the circle is 8 units.
Find the missing terms. Hint: State "r" first
2, _____, ______, ______, 1250
Answer:
10,50,250
Step-by-step explanation:
multiply by 5 each time
Answer: 2, 10, 50, 250, 1250
Step-by-step explanation:
The given sequence is a geometric sequence. The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = 2
n = 5
T5 = 1250
The 5th term, T5 is expressed as
1250 = 2 × r^(5 - 1)
1250/2 = r^4
625 = r^4
5^4 = r^4
r = 5
The second term is
2 × 5 = 10
The third term is
10× 5 = 50
The fourth term is
50 × 5 = 250
Barton has 4 strawberries and Ona has 8.If they want to redistribute their strawberries so they each have an equal number ,how many strawberries should Ona give to barton?
Answer:
There are a total of
✔ 12
strawberries.
There are a total of
✔ 2
people.
The expression to find the mean, or balance point, is
✔ 12/2
✔ Ona
should give 2 strawberries to
✔ Barton
for the number of strawberries to be balanced.
Step-by-step explanation:
Barton only has four strawberries and needs two more, while Ona has eight and will share two.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, Barton has 4 strawberries and Ona has 8 and they want to redistribute their strawberries so they each have an equal number.
We'll apply division by splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.
In order for Ona and Barton to have the same number of strawberries, the total number of strawberries must be divided in two.
=(8 + 4) / 2
= 12 /2
= 6
Thus, Barton only has four strawberries and needs two more, while Ona has eight and will share two.
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A fish tank is 2 metres long, 50 centimetres wide and 20 centimetres high. How many litres of water will it hold if it is filled to the top ?
Answer:
It will hold 200 Litres of water
Step-by-step explanation:
To find the number of litres of water the fish tank can hold, we will follow the steps below;
Write down the formula for calculating its volume
V = l×w×h
where v = volume of the tank
w=width of the tank
l = length of the tank
From the question given;
w= 50 cm = 0.5 m
height h = 20 cm = 0.2 m
l = 2 m
V= l×w×h
= 2×0.5×0.2
=0.2 m³
we can now change it to liters
V = 0.2 m³ × 1000 = 200 L
It will hold 200 Litres of water
When determining which x-values would make an expression undefinéd, you do not need to
include the factors you canceled out.
True
False
Answer:false
Step-by-step explanation: Then you would get rid of the x
Solve for x. -3x - 8 = 10
Steps to solve:
-3x - 8 = 10
~Add 8 to both sides
-3x - 8 + 8 = 10 + 8
~Simplify
-3x = 18
~Divide -3 to both sides
-3x/-3 = 18/-3
~Simplify
x = -6
Best of Luck!
The solution of the equation -3x - 8 = 10 is,
⇒ x = -6
The given algebraic equation is,
-3x - 8 = 10
Now since its degree is 1
Therefore it is nothing but a linear equation.
By simple operation we can solve it
Now to solve it proceed the following steps:
Add 8 both sides, we get
⇒ -3x - 8 + 8 = 10 + 8
⇒ -3x = 18
Divide by -3 both sides we get
⇒ x = 18/-3
⇒ x = 6
Hence,
The solution is x = -6
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Sandy bought a soft drink for 4 dollars and 9 candy bars. She spent
a total of 49 dollars. How much did each candy bar cost?
answer choices
4c + 9 = 49
49 - 9 = 4c
49c + 4 = 9
9c + 4 = 49
The length of a rectangle is the sum of the width and 1. The area of the rectangle is 72 units. What is the length in units of the rectangle
Answer:
L = 9
Step-by-step explanation:
Translating this into symbols, we get L = W + 1 and A = 72 = W * L.
Substituting W + 1 for L in the latter equation, we get:
72 = W(W + 1), or:
W^2 + 1W - 72 = 0
This factors into (W + 9)(W - 8) = 0, so that W must be either -9 or +8.
Since W represents width, a physical measurement, we eliminate the negative result and conclude that W = 8 units. Then L = W + 1 = 9 units.
Note that (8)(9) = 72, as we already know.
The length of the rectangle is: [tex]\[ {9} \] units.[/tex]
Let's denote the width of the rectangle as \( w \) and the length of the rectangle as \( l \).
According to the problem, the length \( l \) is given by:
[tex]\[ l = w + 1 \][/tex]
The area of the rectangle is given by:
[tex]\[ \text{Area} = l \times w = 72 \][/tex]
Substituting the expression for \( l \) into the area formula:
[tex]\[ (w + 1) \times w = 72 \][/tex]
This can be rewritten as:
[tex]\[ w^2 + w - 72 = 0 \][/tex]
We now have a quadratic equation. To solve this, we can use the quadratic formula:
[tex]\[ w = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \]\\where \( a = 1 \), \( b = 1 \), and \( c = -72 \).\\[/tex]
Plugging in these values:
[tex]\[ w = \frac{-1 \pm \sqrt{1^2 - 4 \cdot 1 \cdot (-72)}}{2 \cdot 1} \]\[ w = \frac{-1 \pm \sqrt{1 + 288}}{2} \]\[ w = \frac{-1 \pm \sqrt{289}}{2} \]\[ w = \frac{-1 \pm 17}{2} \][/tex]
This gives us two potential solutions for \( w \):
[tex]\[ w = \frac{16}{2} = 8 \]\[ w = \frac{-18}{2} = -9 \][/tex]
Since a width cannot be negative, we discard \( w = -9 \) and take \( w = 8 \).
Therefore, the width \( w \) is 8 units. Using the relationship \( l = w + 1 \), we find:
[tex]\[ l = 8 + 1 = 9 \][/tex]
So, the length of the rectangle is: [tex]\[ {9} \] units.[/tex]
Jack rode his bike to school at 12 mph and then jogged back at 6 mph. If the round-trip took him six hours, how far was it to school?
Answer: 24 miles
Step-by-step explanation: 12 mph is two times as fast as 6 mph so 6 hours round trip is 2 hours for bike and 4 hours for jogging. You can either plug 2 for 12 (bike) or 4 for 6 (jog) either way you get 24
Answer:
24 miles
Step-by-step explanation:
Plsssss help I don’t get this math at all and it’s due today plsss help meeeeee
Answer:
1.25 cm
Step-by-step explanation:
Draw a radius line from the center to one of the top corners. This forms a right triangle where the hypotenuse is r, the width is 1, and the height is 2−r. Using Pythagorean theorem:
(2−r)² + 1² = r²
4 − 4r + r² + 1 = r²
5 − 4r = 0
r = 5/4
r = 1.25