Five girls and two boys are standing in a line randomly. What is the probability that two boys are next to each other?
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Explanation:
Let's say the teacher pulls the two boys out of the line, and stands in their place. So we have 5 girls and 1 teacher making 6 people total.
There are 6! = 6*5*4*3*2*1 = 720 different permutations here. Order matters. This involves the teacher, so let's have him/her step out of the line and have the two boys replace the teacher's position. This guarantees the boys stick together. For any permutation, we have 2 different ways to arrange the boys. So we have 2*720 = 1440 different ways to arrange the students so that the two boys are next to each other.
This is out of 7! = 7*6*5*4*3*2*1 = 5040 different permutations overall (we're arranging 5 girls+2 boys = 7 people).
The probability we're after is going to be 1440/5040 = 2/7
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Or you could see it like this
1440 = 2*6!
5040 = 7! = 7*6!
So,
1440/5040 = (2*6!)/(7*6!)
1440/5040 = 2/7
What is 3/5 written as a percent? A. 6% B. 30% C. 60% D. 167%
Answer:
60%
Step-by-step explanation:
It is 60% because, First we have to make 3/5 a percent so we do 5 times 20 which is 100, and 3 times 20 which is 60. So it total it is 60/100 which is 60%
Answer:
[See Below]
Step-by-step explanation:
_________________________________
✦ An easier way of doing this is to change the fraction to an equivalent fraction:
[tex]\frac{3}{5}[/tex] ≅ [tex]\frac{6}{10}[/tex] ≅ [tex]\frac{60}{100}[/tex]✦ So now it's easier to change to a percentage.
[tex]\frac{60}{100} =60\%[/tex][tex]60[/tex] percent of [tex]100[/tex]_________________________________
So your answer would be:
[tex]\bold6\bold0\bold\%[/tex]_________________________________
~Hope this helps Mate. If you need anything feel free to message me.
[tex]-Your~ Friendly~ Answerer,~ Shane[/tex] ☺
0.45 x 10 pleeeeeeaaaaaaase answer!!!!! Good luck!
Answer:
4.5
Step-by-step explanation:
The reason is you take the .45 × 10 the 4 will be brought to the left due to the ten pushing it. If it was .45 x 100 it would be 45. Apply that with all decimals x 10 , 100 , 1000 or higher
hi guys please help me to solve the following question
Answer:
D!
Step-by-step explanation:
To find the area, we multiply the length times the width to find the number of squares in each box.
A) 1 square down times 7 squares across is 1 x 7, which is 7.
B) 2 squares down times 6 squares across is 2 x 6= 12.
C) 3 squares down times 5 squares across is 3 x 5 = 15.
D) 4 squares down times 4 squares across = 4 x 4 =16.
16 is the biggest number here, so that is the greatest area!
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How many solutions to the equation: 3x + 5 = 3x - 7
Answer:
Step-by-step explanation:
Simplifying
3x + 5 = 3x + 7
Reorder the terms:
5 + 3x = 3x + 7
Reorder the terms:
5 + 3x = 7 + 3x
Add '-3x' to each side of the equation.
5 + 3x + -3x = 7 + 3x + -3x
Combine like terms: 3x + -3x = 0
5 + 0 = 7 + 3x + -3x
5 = 7 + 3x + -3x
Combine like terms: 3x + -3x = 0
5 = 7 + 0
5 = 7
Solving
5 = 7
Couldn't find a variable to solve for.
This equation is invalid, the left and right sides are not equal, therefore there is no solution.
A car with a mass of 1,250 kg travels at 2.24 m/s and bumps into a stopped car with a mass of 1,300 kg. After the collision, the two cars stick together and move forward. How fast will they both move forward? Round your answer to two decimal places.
0.57 m/s
0.55 m/s
1.10 m/s
1.14 m/s
Answer:
1.10
Step-by-step explanation:
The velocity of the combined cars after the collision is 1.10 m/s.
What is the velocity?Velocity is defined as the displacement of the object in a given amount of time and is referred to as velocity.
The momentum of an object is equal to its mass multiplied by its velocity.
The first car has a mass of 1,250 kg and a velocity of 2.24 m/s, its momentum is 1,250 kg x 2.24 m/s = 2,800 kgm/s.
Similarly, since the second car has a mass of 1,300 kg and a velocity of 0 m/s (it is stopped), its momentum is 0 kgm/s.
Therefore, the total momentum of the two cars before the collision is:
⇒ 2,800 kgm/s + 0 kgm/s = 2,800 kg m/s.
After the collision, the two cars stick together and move forward as one unit. We can find the velocity of the combined cars by dividing their total momentum by their total mass.
The total mass of the cars is:
⇒ 1,250 kg + 1,300 kg = 2,550 kg.
So, the velocity of the combined cars after the collision is:
⇒ 2,800 kgm/s / 2,550 kg = 1.098 kgm/s.
To two decimal places, this velocity is 1.10 m/s. Therefore, the correct answer is 1.10 m/s.
To learn more about the collision click here:
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number of non perfect square numbers lie between the squares of 17 and 18 is
what is -7 + 4 = im gonna give you guys 5 days to firgure this out then i will tell the answer
Answer:
negitive 3
Step-by-step explanation:
i think of it like digging. Negitive going down and positive going up aka put dirt down in the whole. so i am down 7 so i add dirt because the 4 is positive. so then i am at 3. wait make that negitive 3. so the answer is negtive 3.
Answer:
-3
Step-by-step explanation:
Which graph represents the inequality y < -1 + 2x?
Answer:
The graph is attached down
Step-by-step explanation:
The form of the linear inequality is y < b + m x, where
m is the slope of the lineb is the y-intercept, the point of intersection between the line and the y-axis (0, b)The solution of the inequality is the area under the lineTo find which graph represents the inequality y < -1 + 2x
→ Find the y-intercept (the value of y at x = 0)
∴ b = -1
∴ The y-intercept is (0, -1)
From the given graphs we have two graphs that the line intersected the y-axis at (0, -1)
2nd graph in the 1st row
2nd graph in the 2nd row
∵ The sign of inequality is <
∴ The shaded area must be under the line
∴ The 2nd graph in the 1st row is our answer
The graph which represents the inequality y < -1 + 2x is attached down
Which ratio is equivalent to 3:7?
A 6:7
B 3:21
C 24:56
D 15:30
Answer:
c
Step-by-step explanation:
Answer:
C. 24:56
Step-by-step explanation:
3/7 * 8/8
3*8 = 24
7*8 = 56
24/56
how can you express ( 16+40 ) as a multiple sum of whole numbers with no common factors.
Answer:
112
Step-by-step explanation:
56*2 and then you just find a multiple that is really close to 112 and i am in 5th grade.
Answer:
Option C.
Step-by-step explanation:
( 16 + 40 ) =
8 x 2 = 16
8 x 5 = 40
8 x ( 2 + 5 )
solve the equation by factoring. (z^2 - z - 6 = 0) a. z = –2 or z = 3 b. z = 2 or z = 3 c. z = –2 or z = –3 d. z = 2 or z = –3. (50 POINTS PLEASE HELP)
Answer: (z + 2)(z - 3)
Step-by-step explanation:
First, we have 1 as a coefficient on z², so we multiply that by -6, which gives us -6. Now we must find out what two numbers when multiplied, give us -6, and when added together, give us -1 (z's coefficient). Going through -6's factors, I got -3 and 2 since we need a negative one when they are added together. Now we can input our values:
(z - 3)(z + 2).
Double checking, we get the starting equation, which means our factorization was correct, and so is the solution.
Note: it does not matter which binomial comes first because you will get the same answer regardless of its position.
Twelve decreased by twice a number equals -34. What is that number?
Answer:
12 - 2x = -34
Step-by-step explanation:
Im not entirely sure if this is correct but yeee
High Hopes^^
Barry-
what percent of 50 is 18?
Answer:
36 %
Step-by-step explanation:
Convert the fraction to a decimal, then multiply by 100 .
Answer:
36%
Step-by-step explanation:
The same explanation as she said
Why is it so hard to please these teachers:(
Answer:
I don’t even know man
Step-by-step explanation:
solve for x
cx+(1/2c)(1/4x)+20=170
Answer:
x = 400/(3 c)
Step-by-step explanation:
Solve for x:
(9 c x)/8 + 20 = 170
Hint: | Isolate terms with x to the left-hand side.
Subtract 20 from both sides:
(9 c x)/8 = 150
Hint: | Solve for x.
Divide both sides by (9 c)/8:
Answer: x = 400/(3 c)
A coordinate plane with 4 lines. The first line is labeled a(x) and passes through (2, negative 4) and (0, 2) and continues past (negative 1, 5). The second line is labeled f(x) and passes through (negative 6, negative 6), (negative 3, 0), and (0, 6). The third line is labeled g(x) and passes through (negative 2, negative 7), (0, negative 3), (1, negative 1) and (2, 1). The fourth line is labeled h(x) and passes through (negative 6, negative 6), (0, negative 3), and (6, 0).
When Janelle woke up, it was –3 degrees Fahrenheit outside. As the morning progressed, the temperature rose 2 degrees every hour.
Which line on the graph could represent this scenario?
a(x)
f(x)
g(x)
h(x)
Answer:
It is c which is g(x)
Step-by-step explanation:
Answer:
the answer is C : g(x)
Step-by-step explanation:
i just got the right answer on the assignment
express 5/8 as a percent
Answer:
62.5%
Step-by-step explanation:
you would do 5 divided by 8 to find the decimal form then move the decimal over 2 spots to the right and that is the percent value.
Solve the equation
6=u/9+10
Answer:
114
Step-by-step explanation:
Because u do 9+10 which equals 19 and then u do 19*6 and u get 114 so the expression now would be 6=114/(9+10)
The hoffman family has bought one pizza on Friday night every week for the last 10 years. How many pizzas have they bought on Friday night
Answer:
520 Pizzas
Step-by-step explanation:
Given
[tex]Duration = 10\ years[/tex]
Required
Determine the total number of Pizzas
Since, the Pizza is bought on a weekly basis
and there are 52 weeks in a year.
Number of Pizzas (P) is calculated as thus:
[tex]P = 52 * Duration * Pizzas[/tex]
[tex]P = 52 *10 * 1\ Pizza[/tex]
[tex]P = 520\ pizzas[/tex]
can you guys help me?
Answer:
I am doing this for the gram say hi
Step-by-step explanation:
How many hours will it take them to be 400 miles apart?
Step-by-step explanation:
50 miles per hour, how long will it take before that train meets THE Other train, going from B to A, at a speed
Think: 43 tens x 3 tens =
Jasmine paid $64.50 for a bracelet, after tax, and the tax rate is 7.5%. What was the original price of the bracelet?
Answer:
About $59.66
Step-by-step explanation:
To find the amount of tax was paid, multiply 64.50 by 0.075 (because 0.075 = 7.5%). This would be 4.8375, which when rounded is 4.84. You subtract 64.50 by 4.84 to get 59.66, but because I rounded, it is about $59.66.
Answer:
60
Step-by-step explanation:
First, change the percentage to a decimal and write the equivalence of the sales tax amount. Let x be the original cost of the item.
Sales tax amount =x⋅0.075
Next, substitute the value into the equation:
Original Cost + Sales Tax Amount = Total Cost
x+0.075x=64.50
Add like terms.
1.075x=64.50
Divide both sides by 1.075 to isolate the unknown value.
x=$60
Givin (2, 4) and 6, 12), what is The slope of the line between these two points?
Answer:
m=4 or slope =4
Step-by-step explanation:[tex]m=\frac{y2-y1}{x2-x1\\}[/tex]
so [tex]m=\frac{12-4}{6-2}[/tex] which is the same as 8/2. So all in all the slope is 4.
Ann ate 54 candies in two days. How many candies did she eat each day, if she ate 8 more candies on the first day than on the second day?
Answer:
35 on the first day, 19 on the second
Answer:
31 and 23
Step-by-step explanation:
she ate 23 candies on the first which add 8 equals 31. add 23 to that and you get 54 hope this helps
Find the constant of proportionality (unit rate) for each set of values.
Price per apple
Answer: 1.99
Step-by-step explanation: It's about time I tell you how this works. So here it says price PER apple. So PER means we divide 7.96/4 to get 1.99. Now you may be like, How do I know that I do 7.96/4? Why not 4/7.96? Well it says PRICE per APPLE. Price being first so we do 7.96 which is the price, divided by 4 which is the apples. Then we just repeat this process if you want to check your work. So 9.95/5, and 11.94/6
Express in the form n : 1
30 : 6
Answer:
5:1
Step-by-step explanation:
Karen can walk 2/3 of a mile in 1/5 of an hour. How long will it take her to walk 10 miles
Answer:
3 1/3 mph
Step-by-step explanation
2/3 mile divided by 1/5 hour
To divide by a fraction, MULTIPLY BY THE RECIPROCAL!
This gives 5(2/3) = 10/3 = three & 1/3 mile per hour, or about 3.33 mph.
A local hamburger shop sold a combined total of 700 hamburgers and cheeseburgers on Tuesday . There were 50 more cheeseburgers sold than hamburgers . How many hamburgers were sold on Tuesday
Answer:
325
Step-by-step explanation:
h + c = 700
c = 50 + h
50+ h + h= 700
50+2h =700
2h=700-50
2h = 650
h=650/2
h=325
c=325+50
c=375
check 325+375=700