Given:
The word is "PHOTOGRAPH".
To find:
The no. of permutations for the given words.
Solution:
The total number of letters in the word PHOTOGRAPH is 10.
It is clear that P, H, O are twice and T, G, R, A are occurred once.
To find the total number of permutations, we need to divide the permutation of 10 letters by the permutation of repeated letters.
The total number of permutations for the given word is
[tex]Permutations=\dfrac{10!}{2!2!2!1!1!1!1!}[/tex]
[tex]Permutations=\dfrac{10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{2\times 2\times 2}[/tex]
[tex]Permutations=10\times 9\times 7\times 6\times 5\times 4\times 3\times 2\times 1[/tex]
[tex]Permutations=453600[/tex]
Therefore, the no. of permutations for the word PHOTOGRAPH is 453600.
huilan is 5 years older than Thomas. The sum of their ages is 103. What is thomas's age
Answer:
49 years old
Step-by-step explanation:
x + x + 5 = 103
2x + 5 = 103
2x = 98
x = 49
Answer:
Step-by-step explanation:
Thomas is 49 huilan is 54
write 7% as a Vulgar fraction
Answer:
7/100
Step-by-step explanation:
This is literally what the percent sign means: "per hundred".
58 + 18 =
78-58=
335+415
Answer:
78
20
750
Step-by-step explanation:
Miguel can drive 4 times as fast as Raul can ride his bicycle. If it takes Raul 3 hours longer than Miguel to travel 68 miles, how fast (in mph) can Raul ride his bicycle? Round your answer to two decimal places, if needed.
Answer:
17 mphStep-by-step explanation:
Miguel's speed = m, Raul's speed = rGivenm = 4rDistance = 68 milesTime difference = 3 hoursSolutiontime = distance/speedSubstitute values and solve for r the equation of the time difference:
68/m + 3 = 68/r68/4r + 3 = 68/r17/r + 3 = 68/r17 + 3r = 683r = 68 - 173r = 51r = 17Raul's speed is 17 mph
Answer:
[tex] \huge \boxed{ \boxed{ \red{ \tt17 \: mph}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:equationequation word problemsPEMDASgiven:Miguel can drive 4 times as fast as Raul can ride his bicycle. If it takes Raul 3 hours longer than Miguel to travel 68 miles, how fast (in mph) can Raul ride his bicycletips and formulas:t=d/sto findhow fast can Raul ride his bicyclelet's solve:let's the speed of Raul be x
likewise
Miguel can drive 4 times as fast as Raul can ride his bicycle
therefore
4x
according to the question
[tex] \sf \frac{68}{4x}+3=\frac{68}{x}[/tex]
[tex] \implies \sf \frac{68 + 12x}{4x} = \frac{68}{x} [/tex]
[tex] \sf factor \: out \: 4 \: and \: reduce \: it : \\ \sf \implies \frac{4(17 + 3x)}{4x} = \frac{68}{x} \\ \\ \implies\sf \frac{17 + 3x}{x} = \frac{68}{x}[/tex]
[tex] \sf multipy \: both \: sides \: by \: x : \\ \sf \implies (\frac{17 +3 x}{x} )x = (\frac{68}{x} )x \\ \implies \sf 17 + 3x = 68[/tex]
[tex] \sf cancel \: 17 \: from \: both \: sides : \\ \implies \sf 17 - 17 + 3x = 68 - 17 \\ \implies \sf 3x = 51[/tex]
[tex] \sf divide \: both \: side s \: by \: 3 : \\ \sf \implies \frac{3x}{3} = \frac{51}{3} \\ \therefore x = 17[/tex]
The lightest puppy in a litter weighs 12 ounces, which is
4/7
of the weight of the heaviest puppy.
The equation
4/7
w = 12 can be used to find the weight w in ounces of the heaviest puppy.
How much does the heaviest puppy weigh?
Answer:
46 pounds
Step-by-step explanation:
Answer:
21 pounds
Step-by-step explanation:
The 10 members of the Photography Club want to raise $500, so they will hold a raffle with donated prizes. Jesse proposes that to reach their goal, each member should sell 50 raffle tickets. Alexis proposes that each member should raise $50.
Whose plan would you recommend? Explain.
To raise the amount of $500 each member has to raise $50.
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 the 10 members of the Photography Club want to raise $500, so they will hold a raffle with donated prizes. Jesse proposes that to reach their goal, each member should sell 50 raffle tickets. Alexis proposes that each member should raise $50.
The amount for each person will be,
Amount = 500/10
Amount = $50
Therefore, to raise the amount of $500 each member has to raise $50.
To know more about an expression follow
https://brainly.com/question/28450640
#SPJ2
In the first year of a 10,000 investment the interest rate was 6%. All earned interest remained invested for the second year, and the interest rate increased to 7%. What was the percent increase of the entire investment after two years?
Answer:
13.4%
Step-by-step explanation:
First year:
$10,000*6% = $600
New balance = $10,600
Second Year:
$10,600*7% = $742
$10,600+ $742 = $11,342
Total Return:
Final Balance - Initial balance
$11,342 - $10,000 = $1,342
$10,000*x ÷ $1,342
x = $1,342/$10,000
x = 0.1342
0.134 = 13.4%
I RESLLY NEED THIS NOW
The simple interest owed on a loan of $5,600 after 4 years is $1,008. What percent
represents the annual interest rate on the loan? Record your answer on the grid.
What number does x stand for in this equation?
-7x + 6= 27
A
21
B
2
C
-3
D
-7
Answer:
C. -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
-7x + 6 = 27
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 6 on both sides: -7x = 21[Division Property of Equality] Divide -7 on both sides: x = -3a line that separates the plane into two regions
Answer:
Two-Half Planes. Or, You can Call it a Boundary line.
Step-by-step explanation:
Answer:
half-planes or boundary region
Step-by-step explanation:
Write the exponent for 4^? = 64 What number is the question mark? *
3 bags of takis and 2 bags of doritos cost $17. 3 bags of dortios cost $12. How much does 1 bag of takis cost?
Answer:
$3.00
Step-by-step explanation:
3t + 2d = 17
3d = 12
d = 4
3t + 8 = 17
3t = 9
t 3
Answer:
A bag of takis is $3
Step-by-step explanation:
3 bags of doritos at $4 a piece
$17-$8=$9
$9/3=$3
3. Aşağıda verilen çıkarma işleminde bazı rakamların yerine semboller kullanılmıştır.
4 318
3 2*
4 1 A6
Buna göre, bu sembollerin yerine yazılması gereken rakamlar için (1+A)** işlemi-
nin sonucu kaçtır?
A) 28
B) 30
C) 55
D) 63
g
ANK-0502
Answer:
thr answers are A and D of the question
John bought a video game that was 20% off. The game was originally $60. What was the sale price of the game?
Answer:
it was $48
Step-by-step explanation:
$60X0.2
=$48
You welcome
what does m represent in the equation y = mx+b?
Answer:
In the equation y = mx + b for a straight line, the number m is called the slope of the line
Step-by-step explanation:
the square root of a number increased by 9 is 27 find the number
Answer:
4.24264
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
I don't know how to explain. •-• Sorry!
Use the drop-down menu to identify what each label shows.
Answer:
please put a picture so i can awnser
Step-by-step explanation:
Answer:
where is the picture ?
Step-by-step explanation:
1 1/3 x 2 1/6=1/3 x ?/6=?
Answer:
the answer is : y=2
(btw I changed the ? into y. hope that's okay)
if Sin 3x= Cos (x-60), find the value of x
Answer:
x = 15
Step-by-step explanation:
Assuming 3x and x-60 are in degrees, you can use:
cos(a) = sin(a+90)
To rewrite the equation as:
sin(3x) = sin(x-60+90)
sin(3x) = sin(x+30)
3x = x+30
2x = 30
x = 15
But, solving 3x = x+30 which simplifies to x=15 is not the only solution to this equation, as you can see in below picture. Finding all solutions is a bit more work, but maybe that is not required in your case.
You go to a restaurant with 4 friends (total of 5 people), and decide to spli
the bill evenly. What portion of the bill are you responsible for?
What’s 8367 divided by 7
Answer:
1195.28
Step-by-step explanation:
We have a division problem which is 8,367 ÷ 7.
When it comes to division, you always look at the first number that is being split equally by the second number.
Follow the steps of the division problem :
Find how many times 7 goes into 8 :
7 * 1 = 7
Subtract 7 from 8 :
8 - 7
1
We have 1 in our thousands place, move down the number next to 8 in 8367 which is 3, and see how many times 7 goes into that number :
13
7 * 1 = 7
Therefore 7 only goes in once, put 1 next to 1 on top of the division problem, subtract 7 from 13 :
13 - 7
6
Move the 6 down from 8367 and see how many times 7 goes into that :
7 * 9 = 63
Subtract 63 from 66 :
3
Put 9 next to the one, as for now we have 119, now bring down the last value in 8367 and see how many times 7 goes into that :
37
7 * 5
35
Subtract 37 - 35 :
2
Therefore, our answer is 1195.28 , 1195 Remainder 2
Step-by-step explanation: The result of 8367/7 is a non-terminating, repeating decimal. The repeating pattern above, 285714, is called repetend, and denoted overlined with a vinculum.
This notation in parentheses is also common: 8367/7 = 1195.(285714): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 8367 / 7 = 1195.285714… .
8367 divided by 7 in decimal = 1195.285714
8367 divided by 7 in fraction = 8367 divided 7
8367 divided by 7 in percentage = 119528.57142857%
If it is okie can i have brainliest? it took me a while to write all of this.=3
Make a conjecture. What properties do you think stay the same after a translation? Check all that Apply.
Angle measures
Length
Orientation
Shape
Size
Answer: ALL OF THE ABOVE
Step-by-step explanation:
a translation doesn't change any of the above, they all remain the same. it's a trick question :P
Can somebody help me?
.4^3Grafting, the uniting of the stem of one plant with the stem or root of another, is widely used commercially to grow the stem of one variety that produces fine fruit on the root system of another variety. Suppose grafts are done one at a time. A graft fails with probability 0.4, independently of the others. Given there were no failed grafts in the first seven done, what is the probability that there will be at least one failed graft in the next three done
Answer:
0.784 = 78.4% probability that there will be at least one failed graft in the next three done
Step-by-step explanation:
To solve this question, we need to understand the binomial probability distribution and conditional probability.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: No failed grafts in the first seven
Event B: At least one fail in the next three.
Intersection of events A and B:
Since the probability of a graft failling is independent of other grafts, we have that:
[tex]P(A \cap B) = P(A)*P(B)[/tex]
So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)*P(B)}{P(A)} = P(B)[/tex]
So we just have to find the probability of one fail in three trials.
Three trials means that [tex]n = 3[/tex].
The probability is
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.4)^{0}.(0.6)^{3} = 0.216[/tex]
Then
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.216 = 0.784[/tex]
0.784 = 78.4% probability that there will be at least one failed graft in the next three done
Simplify completely''''
Answer:
[tex]\displaystyle \frac{2(x + 3)}{5x - 2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{2x^2 + 16x + 30}{5x^2 + 13x - 6}[/tex]
Step 2: Simplify
[Fraction] Factor numerator: [tex]\displaystyle \frac{2(x + 3)(x + 5)}{5x^2 + 13x - 6}[/tex][Fraction] Factor denominator: [tex]\displaystyle \frac{2(x + 3)(x + 5)}{(x + 3)(5x - 2)}[/tex][Fraction] Divide: [tex]\displaystyle \frac{2(x + 3)}{5x - 2}[/tex]Find the missing number:
Answer:
20%
Step-by-step explanation:
Not sure if this is exactly correct, but let's say we start with 1 unit. If it increased by 25%, we get:
1 × 1.25 = 1.25 units.
Now, to get back to 1 unit, we need to find:
1.25 × ? = 1
? = [tex]\frac{1}{1.25}[/tex] = 0.80
So, 100% - 80 % = 20%
A 20% decrease.
Not completely sure though.
wat is x in 1/3x - 11 = 5
=48
Multiply by 1
Add 1 1 11 11
to both sides of the equation
Answer:
The answer is 48
Step-by-step explanation:
First, add 11 to both sides
5 + 11 = 16
1/3x = 16
Next, times 16 by 3
16 times 3 = 48
Check!
1/3(48) = 16
16 - 11 = 5
X = 48
Danny charges $30 for 3 hours of swimming lessons, Martin charges $38 for 2 hours of swimming lessons. Who offers a better deal?
Answer:
Danny
Step-by-step explanation:
Danny charges less because he only charges $30 for 3 hours of swimming lessons while Martin charges $38 for only 2 hours of swimming lessons.
Is anyone smart enough to answer this correctly?
Answer:
C. 55 square centimetre
Step-by-step explanation:
Area of the triangle on the top= 1/2 * 2 * 3 cm^2
= 3 cm^2
Area of the rectangle in between= 8 * 2 cm^2
= 16 cm^2
Area of the parallelogram at the bottom
= 12 * 3 cm^2
= 36 cm^2
Therefore, Area of the figure
= (3+16+36) cm^3
= 55cm^2
Hope you got the answer ☺️
The area of a parallelogram is 513cm² and the height is 19cm. Calculate the base length.