Answer:
A
Step-by-step explanation:
What is 31/87 as a percentage?
Give your answer rounded to one decimal place.
Answer:
35.6%
Step-by-step explanation:
31/87(100)
3100/87
35.6%
Answer:
35,6%
Step-by-step explanation:
31/87 = 0,35632184
As a percentage: 35,632184%
Rounded to one deciman place: 35,6%
Tickets numbered 4, 5, 6......48, 49 are placed in a box and mixed thoroughly. One ticket is drawn from the box. Find the probability that the number on the ticket is:
(i) an even number (ii) A number less than 16
(iii) a perfect square (iv) a prime number less than 30.
Answer:
i) The probability that the number on the ticket is even is [tex]\mathbf{\frac{1}{2}}[/tex]
ii) the probability that the number on the ticket is a number less than 16 is [tex]\mathbf{\frac{6}{23}}[/tex]
iii) The probability that the number on the ticket is a perfect square is [tex]\mathbf{\frac{5}{46} }[/tex]
iv) the probability that the number on the ticket is a prime number less than 30 is [tex]\mathbf{\frac{4}{23} }[/tex]
Step-by-step explanation:
Tickets numbers are: 4, 5, 6......48, 49
So, total tickets in box = 46
We need to find probability that the number on the ticket is:
i) an even number.
Even number in tickets are: 4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48
Total number of favourable outcomes = 23
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 23
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{23}{46}\\Probability=\frac{1}{2}[/tex]
So, the probability that the number on the ticket is an even number is [tex]\mathbf{\frac{1}{2}}[/tex]
ii) A number less than 16
Even number in tickets are: 4,5,6,7,8,9,10,11,12,13,14,15
Total number of favourable outcomes = 12
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 12
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{12}{46}\\Probability=\frac{6}{23}[/tex]
So, the probability that the number on the ticket is a number less than 16 is [tex]\mathbf{\frac{6}{23}}[/tex]
iii) a perfect square
Perfect squares are: 4,9,16,25,36
Total number of favourable outcomes = 5
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 5
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{5}{46}[/tex]
So, the probability that the number on the ticket is a perfect square is [tex]\mathbf{\frac{5}{46} }[/tex]
iv) a prime number less than 30.
Prime numbers less than 30 are: 5,7,11,13,17,19,23,29
Total number of favourable outcomes = 8
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 8
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{8}{46}\\Probability=\frac{4}{23}[/tex]
So, the probability that the number on the ticket is a prime number less than 30 is [tex]\mathbf{\frac{4}{23} }[/tex]
pls tell me the answer to the question ASAP i'll give brainliest lol
oof whats that
Step-by-step explanation:
Please help
Solve the following equation, and check your solution.
Show all of your work.
17+ n/5 = 33
Answer:
n = 80
Step-by-step explanation:
Plug in 80 for n to check:
17 + 80/5 = ?
17 + 16 = 33
How many solutions does this system have?
A None
B 11
C 22
D Infinitely many
Answer:
A. None
General Formulas and Concepts:
Algebra I
Perpendicular Lines/Intersecting Lines have 1 solution.2 identical Lines have infinitely many solutions.Parallel Lines have no solution.Step-by-step explanation:
According to the graph, we see that we have 2 parallel lines. Therefore, there will be no solution.
Work out the 3rd term of the sequence 3n +5.
a. 11
b. 14
c. 17
What is it plz thxjxjfif
Answer: B. 9(x + 9)
Step-by-step explanation:
Answer:
B. 9(z+9)
Step-by-step explanation:
Help me plz . Due tonight
Answer: y= - ( x - 5) ( x + 7)
Step-by-step explanation: The x-intercepts are at -5 and 7. when you don’t have a negative symbol before the parentheses, that indicates that the parabola will be shaped like a U. when you do, it’s shaped the opposite of a U. and now look at the equation answer.
GIVING BRAINIEST
The time it takes to travel a fixed distance varies inversely with the speed traveled. If it takes Pam 1.5 hours to bike to her fishing spot at 9 miles per hour (how long will it take her if she rides at 12 miles per hour?
Answer:
Takes her 2 hours
Step-by-step explanation:
find an equation of the line that satisfies the given conditions. through (4, 9), parallel to the y-axis
We can write the line's equation as y = 5.
What is the slope of a line?The slope of a line can indicate how the line behaves and changes its value. As we know, an increasing line is inclined to the right, whereas a decreasing line is inclined to the left. Furthermore, the steeper the line, the greater the change in value with respect to the independent variable.
To find the equation:
With the given conditions, we find the equation of the line.
We begin by recognizing that we can write the line's expression in the point-slope form, which is expressed as:
[tex]y-y_0=m\left(x-x_0\right)[/tex]Where [tex]\left(x_0, y_0\right)[/tex] is the point through which the line passes and m is the slope We have already been given the point:
[tex]\left(x_0, y_0\right)=(4,5)[/tex]Which the line passes through.
We are also told that the line is parallel to the x-axis. The x-axis, as we know, is a horizontal line, indicating that the slope is zero, or m = 0.We now write the line's equation:
[tex]\begin{gathered}y-y_0=m\left(x-x_0\right) \\y-5=(0)(x-4) \\y-5=0 \\y=5\end{gathered}[/tex]
Therefore, we can write the line's equation as y = 5.
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The complete question is given below:
Find an equation of the line that satisfies the given conditions. Through (4,5), parallel to the x-axis.
Which is equivalent to 2163?
3
6
36
7
Answer:
Numbers 3 and 7
Step-by-step explanation:
2163÷3= 721
2163÷6= 360.5
2163÷36= 60.08
2163÷7= 309
The answer is number 3 and 7 since both can be divided by 2163 without having remainders like number 6 and 36
Answer: 3
Step-by-step explanation:
2. Here are some equations that are related to `x-0.1x+2.70=56.70`. Each equation is a result of performing one or more moves on that original equation. Each can also be interpreted in terms of Noah's purchase.
Question isn't complete so we assume you wish to solve the equation above
`x-0.1x+2.70=56.70
Answer:
Step-by-step explanation:
To solve this equation
x-0.1x+2.70=56.70
We first find like terms and then subtract both sides of the equation
x-0.1x+2.70=56.70= 1x-0.1x+2.70=56.70
Add like terms
0.9x+2.70=56.70
Subtract both sides of equation
0.9x=56.70-2.70
Divide both sides
0.9x=54
x=54/0.9
x= 60
The time it takes to fly from LA to NY varies inversely as the speed of the plane. If the trip takes 6 hours at 900 km/h, how long would it take at 800 km/h? Answer as a decimal only.
The time taken by the plain if it flies at a speed of 800 km/h is 6 hours 45 minutes
Given,
Time taken by plain to fly from Los Angeles to New York = 6 hours
Speed of plain = 900 km/h
We have to determine the time taken by the plain if it flies at a speed of 800 km/h
Distance cover by plain = speed x time = 900 x 6
Distance cover by plain = 5400 kilometer
New time taken by plain = Distance cover by plain / New speed of plain
New time taken by plain = 5400 / 800
New time taken by plain = 6 hours 45 minutes
That is, the time taken by the plain if it flies at a speed of 800 km/h is 6 hours 45 minutes
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Write the steps in detail
On how to solve an angle bisector
problem, please use completé sentences.
A triangle's opposite side is split in half by an angle bisector into two segments that are proportional to the other two sides.
We can solve this problem by using the formula explained in the angle bisector theorem below.
Angle Bisector theorem :
In the below image, PS is the angle bisector of ∠P in ΔPQR.
As a result, we can state that by using the angle bisector theorem as
PQ/PR = QS/SR
or
a/b = x/y.
By this, we can solve the angle bisector theorem.
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which graph best represents this system of equations and its solution . 8x-4y=-16 3x+15y=-6
Answer:
B
Step-by-step explanation:
The required graph that represents the system of the equation and their solution is shown. Option D is correct.
Given that,
To determine the graph which shows the system of equation 8x-4y=-16 3x+15y=-6 and their solution,
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
The given system of equations is 8x-4y=-16 3x+15y=-6,
The solution of the above equation is given when applying methods like substitution, elimination and sublimation is (-2,0).
Plotting the graph of the system of equations it comes out to be as shown.
Thus, the required graph that represents the system of the equation and their solution is shown. Option D is correct.
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Reuben bought 5CDS that were each the same priceIncluding sales tax, he paid a total of \$81.50. Each CD had a tax of $0.60. what was the price of each cs before tax ?
Answer:
The price of each CD before tax is $15.70
Step-by-step explanation:
Given that:
Number of CDs bought by Reuben = 5
Cost of five CDs = $81.50
Sales tax on each CD = $0.60
Sales tax on 5 CDs = 0.60*5 = $3.00
Price of CDs without tax = 81.50 - 3.00 = $78.50
Price of each CD = [tex]\frac{Cost\ of\ CDs}{No.\ of\ CDs}[/tex]
Price of each CD = [tex]\frac{78.50}{5}[/tex]
Price of each CD = $15.70
Hence,
The price of each CD before sales tax is $15.70
Hello I NEED help! Pls help in 10 min
what is 5/3 divided by 7
Answer:
Step-by-step Turn 7 into a fraction
3/5 ÷ 7/1
Use the recipricle and multiply
3/5 x 1/7
Multiply across
3/35
And that's it! :)
Answer:
5/21
Step-by-step explanation:
Here is a strategy I want you to remember: Keep, Change, Flip. What do I mean by that? Well...
Keep the first fraction. Change the division sign into a multiplication sign. Make the numerator of the second fraction become the denominator--and make the denominator of the second fraction become the numerator.
The denominator of any whole number is always 1. So, 7 equals to 7/1. Time to find the reciprocal of 7/1! What does reciprocal mean?
Reciprocal - Flip the fraction in terms of the numerator and denominator; Multiplicative Inverse
1/7 is the reciprocal of 7/1, for this mathematical problem. Makes sense, right?
Now, 5 times 1 equals 5 (that is the numerator). Secondly, 3 times 7 equals 21 (that is the denominator).
[tex]\frac{5}{3} * \frac{1}{7} = \frac{5}{21}[/tex]
Write a conditional statement that starts with: "If I do not have power at my
house, ..."
What was the conclusion of the conditional statement
Answer:
If I do not have power at my house I cannot charge my phone.
Step-by-step explanation:
This is a conditional statement so you can say anything you want as long as it makes sense. I don't know if you're a boy or girl so I'll put too statements. Boy: If I do not have power at my house I cannot play on my console with my friends. Girl: If I do not have power at my I cannot curl my hair for the dance tonight.
Hope this helps you!!!
Kailey and Justin both hire tutors for math and pay them per hour. After tutoring 8.5 hours, Justin pays his
tutor $242.25. The table below shows how much Kailey paid her tutor.
Which person paid more for tutoring and by how much?
Answer:
(A) kailey paid $3.50 more per hour
Answer:
kailey paid $3.50 more per hour
Step-by-step explanation:
18・1
A. commutative property of addition
B. additive identity property
C. multiplicative identity property
D. commutative property of multiplication
Answer:
My guess would be
C. multiplicative identity property
Answer:
C.
multiplicative identity property
Please Help me!! It’s question number 2
Answer:
if you need help with any other question i got you but i cant see like 30% of the whole problem
Solve.
100x − 200 > 60x − 120
Answer:
x>2
Step-by-step explanation:
Step 1: Subtract 60x from both sides.
100x−200−60x>60x−120−60x
40x−200>−120
Step 2: Add 200 to both sides.
40x−200+200>−120+200
40x>80
Step 3: Divide both sides by 40.
40x/40> 80/40
x>2
Hope this helped :)
A plumber charges $25 for a service call plus $50 per hour of service.what is the linear equation?
Solve for all values of x in simplest form, |x - 2| - 1 = 2
Answer:
(x-2)-1=2
(x-2)-1 +1=2+1
(x-2)=3
x=3+2
x= 5
Barbara photographs a bird. The bird measures 8.6 cm tall in the photo and is actually 52.4 cm tall. Approximately how long is the bird's beak if it measures 1.1 cm in the photo?
An actual measurement represents a reading that is taken manually at the physical thickness measurement location on the equipment.
Find the solution ?actual measurement = 8.6cm(bird's height), ? (beak)
photo measurement = 52.4(birds height), 1.1 (beak)
if 52.4 = 8.6
1.1 = 1.1 x 8.6
52.4
= it is roughly 0.18cm
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Razee is filling bags with party favors for his birthday party the table to the right shows the number of bags he still needs to fill after 4, 5, 6 and seven minutes if he is working at a constant rate what was the initial number of party favor bags razee had to fill?
The initial number of party favor bags Razee had to fill were 48 bags.
Here, we will use arithmetic progression to solve this problem.
We are given that:
At 4 minutes, 36 bags were remaining.
At 5 minutes, 32 bags were remaining.
At 6 minutes, 28 bags were remaining.
At 7 minutes, 24 bags were remaining.
This can also be written as:
a₄ = a + 3d = 36
a₅ = a + 4d = 32
a₆ = a + 5d = 28
a₇ = a + 6d =24
where a is the initial number of party favor bags.
a₅ - a₄ = a + 4d - a - 3d
a + 4d - a - 3d = 32 - 36
d = -4
a + 3d = 36
a + 3(-4) = 36
a - 12 = 36
a = 36 + 12
a = 48
Therefore, the initial number of party favor bags Razee had to fill were 48 bags.
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Can anyone help me solve this om convised
Answer:c a b
Step-by-step explanation:because √225 is = 15
36*[tex]\pi[/tex]=113.04
and 200=200 which is greater than both of those numbers.So the answer is c a b
cos A = -3/4
find the exact value of tan A
Suppose 2a-3b = -23. Given that a and b are consecutive integers and a
Answer:
a = 20 and b = 21
Step-by-step explanation:
Given:
2a-3b = -23
a and b are consecutive
Find:
a and b
Computation:
a = b - 1
So,
2a-3b = -23
2(b-1)-3b = -23
2b - 2 - 3b = -23
-b = -21
b = 21
So
a = b - 1
a = 21-1
a = 20
Find the circumference using the formula.
Calculate your answer to the nearest hundredth.
Hello!
[tex]\large\boxed{C = 21.98in}[/tex]
Use the equation C = dπ to solve:
π ≈ 3.14
C = 7 × 3.14
C ≈ 21.98 in