a two digit number is written at random. determine the posibility that the number is a multiple of 5
Answers
A two-digit number is written at random. To determine the possibility that the number is a multiple of 5, we need to analyze the possible values that the tens and units digits can take. Hence when a two-digit number is written at random, the possibility that the number is a multiple of 5 is 1/9.
First, let's look at the units digit. A number is a multiple of 5 if its units digit is either 0 or 5. So, there are 2 possibilities for the units digit.
Next, let's consider the tens digit. Since it's a two-digit number, the tens digit can be any digit from 1 to 9. So, there are 9 possibilities for the tens digit.
To find the total number of two-digit numbers, we multiply the number of possibilities for the tens digit (9) by the number of possibilities for the units digit (2). This gives us a total of 18 possible two-digit numbers.
To determine the possibility that the number is a multiple of 5, we divide the number of multiples of 5 (which is 2) by the total number of possible two-digit numbers (which is 18).
Therefore, the possibility that the number is a multiple of 5 is 2/18, which simplifies to 1/9.
To know more about "Two-Digit Numbers":
https://brainly.com/question/31179742
#SPJ11
Related Questions
what triangle is formed with the angles 32 126 and 32
Answers
anyone know this?????
Answers
Explanation:
step 1 - multiply both sides by 6 to get rid of it
step 2 - simplify both sides
step 3 - subtract 1.4 from both sides
x = 13
Answer:
not sure, but I do know 1.4 + x would be 1.4x then .4
If the test is worth 100 points and each homework assignment is work 20% of the test, how many points may be earned during this unit?
Answers
Answer:c
Step-by-step explanation:
. Find three consecutive square numbers whose sum is 149.
Answers
Answer:
The three consecutive square numbers that added together give 149 are 6, 7 and 8.
Step-by-step explanation:
To determine which are the three square consecutive numbers that added together add up to 149, the following calculation must be performed:
1 x 1 = 1
2 x 2 = 4
3 x 3 = 9
4 x 4 = 16
5 x 5 = 25
6 x 6 = 36
7 x 7 = 49
8 x 8 = 64
9 x 9 = 81
10 x 10 = 100
Thus, we can see that 36 + 49 + 64 gives the result 149. Therefore, the three consecutive square numbers that added together give 149 are 6, 7 and 8.
∠A and \angle B∠B are supplementary angles. If m\angle A=(5x+25)^{\circ}∠A=(5x+25) ∘ and m\angle B=(3x+19)^{\circ}∠B=(3x+19) ∘ , then find the measure of \angle B∠B.
Answers
Answer:
Measure of angle B is 70 degrees
Step-by-step explanation:
If they are both supplementary, it means that add up to be 180 degrees
Thus;
5x + 25 + 3x + 19 = 180
8x + 44 = 180
8x = 136
x = 136/8
x = 17
Measure of angle B will be;
3(17) + 19
= 51 + 19 = 70 degrees
3(2r - 14) – 3r = 13(r-4)
Answers
Answer:
Step-by-step explanation:
Here you go mate
PEMDAS
Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction
Step 1
3(2r - 14) – 3r = 13(r-4) Equation/Question
Step 2
3(2r - 14) – 3r = 13(r-4) Remove parenthesis
3r-42=13r-52
Step 3
3r-42=13r-52 Subtract
-10r-42=-52
Step 4
-10r-42=-52 Simplify by adding
-10r=-10
Step 5
-10r=-10 Simplify by dividing
1
answer
r=1
Ina Almeida
Solve each equation.
16x=176
Answers
Answer:
x = 11
Step-by-step explanation:
16x = 176 is the problem
You bring the 16 over the the other side.
The equation changed.
x = 176 ? 16. You don't no the operation.
If the other side is number + variable,
it equals to division cause division is
the reverse operation.
That means, the equation changes again!
x = 176/16 Its easier to reduce cause its a
2+ number one.
176/16 reduced is 11
solve the equation
show your work
9 + 12m = 6 + 15(m - 1)
Answers
Answer: m=6
Step-by-step explanation:
\(9+12m=6+15\left(m-1\right)\)
\(6+15\left(m-1\right)=15m-9\)
\(9+12m=15m-9\)
subtract 9 on both sides
\(9+12m-9=15m-9-9\)
\(12m=15m-18\)
subtract 15m on both sides
\(12m-15m=15m-18-15m\)
\(-3m=-18\)
divide by -3 on both sides
\(\frac{-3m}{-3}=\frac{-18}{-3}\)
since \(\frac{-a}{-b}=\frac{a}{b}\)
\(\frac{-18}{-3}=6\)
\(m=6\)
William is building a gazebo and wants to brace each Corner replacing a 12 inch wooden bracket diagonally as shown how far below the corner should he fastened the bracket if he wants to distances from the corner to eat to the end of the bracket to be equal
Answers
Let the distance from the corner is x.
The length of diagonal -12 inch.
the fiure show a right angle triangle
Apply the pythagoras theorem to find the values of x
Pytahgoras theorem state as the square of the hypotenuse is equal to sum of the squre of perpendicular and the square of base of right angle triangle,
\(\text{Hypotenuse}^2=Perpendicular^2+base^2\)In the given figure we have,
Hypotenuse=12
Base=x
Perpendicular=x
Substutute the value in the pythagoras theorem
\(\begin{gathered} 12^2=x^2+x^2 \\ 144=2x^2 \\ x^2=72 \\ x=8.485 \\ x=8.5\text{inch} \end{gathered}\)The corner will be at a distance of 8.5 inch.
10 is at most the quotient of 5 and a number n? What the number form
Answers
What is 45% in decimal?
Answers
45% in decimal form is 0.45.
Percentages are a way of expressing a fraction or proportion of a whole, with the whole being represented by 100%. To convert a percentage to a decimal, we simply divide by 100.
In this case, we have 45%. Dividing 45 by 100 gives us 0.45, which is the decimal equivalent of 45%.
Decimal numbers are a base-10 system that uses the digits 0 through 9 to represent all possible values. They are commonly used in mathematics, finance, and science for their precision and ease of calculation.
Converting percentages to decimals is an important skill to have when dealing with calculations involving percentages, such as taxes, discounts, and interest rates.
To know more about base-10 system click on below link:
https://brainly.com/question/19460684#
#SPJ11
After reading 7/9 of a book , 40 pages are left .How many pages are there in the book
Answers
Answer:
180 pages
Step-by-step explanation:
Answer: 180 pages
Step-by-step explanation:
Let the equation be
x - 7/9x = 40
9x - 7x = 360
x = 360 / 2 = 180
The book has total 180 pages
Means he has read (180 - 40) = 140 pages
what is the probability that neither of your two groupmates has studied any statistics? ____ (Round to four decimal places as needed.)
Answers
The probability that neither of your two groupmates have studied any statistics is 4/45.
Let, E be the event that none of the two groupmates have studied any statistics. The event of interest is that "one of your groupmates has not studied any statistics" Out of the total n students, you select any 2 students out of n−1, but the person who has not studied statistics must be in the team of three. If there are k people who have not studied statistics, then the probability of this person being selected is k/n.
The probability that none of your two groupmates has studied any statistics, given that one of your groupmates has not studied any statistics can be obtained as follows:
P(E | F) = (1/(n-1)) (k/(n-1)) / [1 - k/(n-1)]P(E | F)
= (k / (n-1) ) x (1 / (n-k-1)) (k+1)/(n-k-1)P(E | F)
= k(k+1)/(n-1)(n-2)
Therefore, the probability that neither of your two groupmates has studied any statistics is k(k+1)/(n-1)(n-2). Hence, the required probability is 4/45 (rounded to four decimal places).
You can learn more about statistics at: brainly.com/question/29093686
#SPJ11
(01.05 LC)
What is the equation in point-slope form of the line passing through (1, 2) and
(2,5)? (5 points)
A) (y - 2) = 3(x - 1)
B) (y + 2) = 3(x + 1)
C) (y - 1) = -3(x - 2)
D) (y - 2) = -3(x - 1)
Answers
A pack of gum is in the shape of a rectangular prism with a length of 8 centimeters and a width of 2 centimeters. The volume of the gum is 48 cubic centimeters. What is the height of the pack of gum?
Answers
Answer:
3
Step-by-step explanation:
l*h*w=volume
8*h*2=48
16h=48
h=3
A particular gun-control bill is being sent to the U.S. Senate to be voted on. Each of the 50 states has two elected senators eligible to vote. To try to predict the outcome of the upcoming vote, a newspaper reporter randomly selected 10 Senators and asked each how he or she planned to vote. What is the population in this situation? • A. randomly selected U.S. senators • B. all U.S. senators What is the value of N, the population size? What is the sample in this situation?• A. all U.S. senators • B. randomly selected U.S. senators What is the value of n, the sample size?
Answers
The population in this situation is all U.S. senators, which is answer B. There are a total of 100 U.S. senators (2 senators per state * 50 states), so the value of N, the population size, is 100.
The sample in this situation is the 10 senators who were randomly selected and asked about their vote, which is answer B. The value of n, the sample size, is 10.
In statistics, a population is a group of individuals, objects, or events that we are interested in studying or making inferences about. In this case, the population is all U.S. senators, which means that we are interested in understanding the characteristics or opinions of all U.S. senators with respect to the gun-control bill being voted on.
to know more about population size, visit: brainly.com/question/30239828
#SPJ4
If possible, write 16 - 7x - 7² as a linear combination of 2 - x - x²,2 - 2x - r² and -1-. Otherwise, enter DNE in all answer blanks. || 16-7x - 7x² = (2-x-x²)+ (2 - 2x - x²)+ (-1-x).
Answers
The given expression 16-7x - 7² can be written as the linear combination of 2 - x - x², 2 - 2x - r², and -1 by using the coefficients 2, -2, and -18 respectively.
To write 16-7x - 7² as a linear combination of 2 - x - x², 2 - 2x - r², and -1, we must use a combination of these terms to equal 16-7x - 7².
First, we should break down 16-7x - 7².16-7x - 7² = 16 - 7x - 49 = -33 - 7xWe need to find coefficients that satisfy the equation: a(2-x-x²) + b(2-2x-r²) + c(-1) = -33 - 7x, where a, b, and c are coefficients for each of the terms in the linear combination.
To solve for a, b, and c, we should set up a system of equations by equating the coefficients of each term of the same degree: a + b = 0 (for x² terms)-a - b = -7 (for x terms)-2a - 2b + c = -33 (for constant terms)-2a + b = 7 (for x terms)a - c = 16 (for constant terms)By solving the system of equations above, we get a = 2, b = -2, and c = -18.
Therefore, 16-7x - 7² can be written as:2(2 - x - x²) - 2(2 - 2x - r²) - 18(-1) = 16 - 7x - 7², or 4 - 2x - 2x² - 4 + 4x + 2r² + 18 = 16 - 7x - 49, which simplifies to -2x² + 4x + 2r² - 11 = -7x.
Therefore, 16-7x - 7² can be written as 2(2 - x - x²) - 2(2 - 2x - r²) - 18(-1).
For more questions on expression
https://brainly.com/question/1859113
#SPJ8
If an equation, Y varies directly as X varies. If Y equals 208 when X equals 13, what is the value of X when Y equals -144?
Answers
Answer: X = -9
Step-by-step explanation:
You can set up a ratio to solve this.
208/13 = -144/x
208x=-1872
x = -9
\(\mathbb{ANSWER:}\)
Step 1: Write the equation of variation
\(\sf y \propto x\)\(\sf y = kx\)Step 2: Solve for k or the constant of proportionality
\(\sf 208 = k(13)\)\(\sf \frac{208}{13} = \frac{k(13)}{13}\)\(\sf k = 16\)Step 3: Solve for x
\(\sf -144 = 16x\)\(\sf \frac{-144}{16} = \frac{16x}{16}\)\(\sf x = \boxed{\sf -9}\)a varies jointly with b and c. a=10 b=5 and c=15. find c when a=15 and b=10
Answers
Let's begin by identifying key information given to us:
\(\begin{gathered} a\alpha bc\Rightarrow a=kbc \\ a=kbc \\ a=10,b=5,c=15 \\ \text{Substitute these into the equation, we have:} \\ 10=k\cdot5\cdot15 \\ 10=75k\Rightarrow75k=10 \\ 75k=10 \\ k=\frac{10}{75}=\frac{2}{15} \\ k=\frac{2}{15} \\ \\ When;a=15,b=10 \\ a=kbc \\ 15=\frac{2}{15}\cdot10\cdot c \\ 15=\frac{2\cdot10}{15}c \\ 15=\frac{20}{15}c \\ 15\cdot15=20c\Rightarrow225=20c \\ 20c=225 \\ c=\frac{225}{20}=11.25 \\ c=11.25 \end{gathered}\)Simplify the expression:
6 + 2(7x + 3),
Answers
Answer:
14x+12
Step-by-step explanation:
6 + 2(7x + 3)
= 6+14x+6
= 14x+12
How many group of 2 1/2 are in 10
Answers
Answer:
The asnwer is 4 groups of 2 1/2 are in 10
Step-by-step explanation:
If you divide ten by 2.5 you get 4
Answer:
4 groups.
Step-by-step explanation:
To get this you add 2 1/2 four times to get 10
2 1/2 + 2 1/2 = 5
+
2 1/2 + 2 1/2 = 5
=
10
If F(x) = 9x, which of the following is the inverse of F(x)?
O A. F'(x) = x-9
OB. F'(x) =
C. F'(x) = x + 9
D. F1(x) = 9
Answers
Answer:
Should be x/9
Step-by-step explanation:
The inverse of the function is F' ( x ) = x/9
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as F ( x )
Now , the value of F ( x ) is
F ( x ) = 9x be equation (1)
Now , let the inverse of the function be represented as F' ( x )
where , the values of y are interchanged with x
So , the equation is
y = 9x
when x in interchanged ,
x = 9y
On solving for y , we get
Divide by 9 on both sides , we get
y = x / 9
So , the inverse of the function is F' ( x ) = x/9
Hence , the inverse of the function is F' ( x ) = x/9
To learn more about function rule click :
https://brainly.com/question/3760195
#SPJ7
If y = 7 when x = 6, find y when x= -21.
Answers
Answer:
24.5
Step-by-step explan ation:
y=7
x=6
7/6 y/-21
6y=-21x7
6y=-147
y=24.5
brainliest pls thank you!
What is the equation of the quadratic graph with a focus of (4, −3) and a directrix of y = −6? (1 point) Select one: a. f(x) = negative one over six times x squared plus four over three times x plus eleven over six b. f(x) = one over six times x squared minus four over three times x minus eleven over six c. f(x) = three fiftieth x squared plus eleven twenty fifth x plus three fifth d. f(x) = two fiftieth x squared plus eleven twenty fifth x plus two fifth
Answers
Answer:
6
Step-by-step explanation:
The value where the histogram balances when supported at that point is called ____.
Answers
The value where the histogram balances when supported at that point is called the mode of the distribution.
The mode of distribution is the value that appears most frequently in the data set. It is often used as a measure of central tendency, along with the mean and median. The mode is especially useful when dealing with categorical or discrete data, where the possible values are limited and well-defined.
For example, the mode of a list of test scores might be the score that occurs most frequently, indicating the most common level of performance. In a histogram, the mode is the value where the distribution is highest, or where the histogram balances when supported at that point.
Learn more about histograms:
https://brainly.com/question/2962546
#SPJ4
\(what is the square root of 245u to the power of 4 v to the power of 4\)
![[tex]what is the square root of 245u to the power of 4 v to the power of 4[/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/T3vgXuLohb2ea2ya7ukAEHb4X6NkcGiU.jpeg)
Answers
Answer:
hope it helps ......
Step-by-step explanation:
....
have a great day
![[tex]what is the square root of 245u to the power of 4 v to the power of 4[/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/8KPXgw2jN9vAGkbz5goP6dvLmVyynnvk.jpeg)
![[tex]what is the square root of 245u to the power of 4 v to the power of 4[/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/dHMTE5AIDwwD79BHrP35WBYibdl5G283.jpeg)
Suppose the supply and demand equations for a product are given by: p²+4q = 253 183 p² + 6q0 - Find the equilibrium point, and enter it as a point. Equilibrium Quantity: q = Equilibrium Price: p =
Answers
The equilibrium point for the supply and demand equations p² + 4q = 253 and 183p² + 6q = 0 is (q, p) = (3, 10).
To find the equilibrium point, we need to solve the system of equations formed by the supply and demand equations. By substituting the value of q = 3 into the first equation, we get p² + 4(3) = 253, which simplifies to p² + 12 = 253.
Solving this equation gives us p = 10. Substituting the values of q = 3 and p = 10 into the second equation, we get 183(10)² + 6(3) = 0, which simplifies to 18300 + 18 = 0.
Since this equation holds true, we have found the equilibrium point to be (q, p) = (3, 10), where the equilibrium quantity is q = 3 and the equilibrium price is p = 10.
Learn more about Equation click here :brainly.com/question/13763238
#SPJ11
Translate this phrase into an algebraic expression.
23 increased by twice Vidya's savings
Use the variable to represent Vidya's savings.
Answers
Answer:
23 + 2v
Step-by-step explanation:
23 increased means 23 +
twice vidya's savings is 2v
Expressions = 23 +2v
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Suppose you invested $4500 by 4% each year for 30 years. How much for 30 years?
Answers
This would be your answer here hope this helps :)
(2/3+5/2-7/3)+(3/2+7/3-5/6)
Answers
Answer:
after simplifying, we get,
23/6
Step-by-step explanation:
(2/3+5/2-7/3)+(3/2+7/3-5/6)
We simplify,
\((2/3+5/2-7/3)+(3/2+7/3-5/6)\\(2/3-7/3+5/2)+(3/2+7/3-5/6)\\(5/2-5/3)+(9/6+14/6-5/6)\\(15/6-10/6)+((9+14-5)/6)\\(15-10)/6+(23-5)/6\\5/6+18/6\\(5+18)/6\\23/6\)