In how many different ways can four students stand in a straight line if two of the students refuse to stand next to each other?
Hey there! I'm happy to help!
Let's look at each spot in the line from left to right and see how many choices they are.
In spot 1, we have 4 choices. Let's say that we choose the student who doesn't want to stand next to to the other student. This means that in the next slot, there are only 2 choices because he cannot stand by the other student. Now when we move to spot number three, there are only two choices left, and then there is 1.
4×2×2×1=16
So, there are 16 different ways the students can stand in a straight line if two of the students refuse to stand next to each other.
Have a wonderful day! :D
Answer:
16
Step-by-step explanation:
help me I will give brainiest
I REALLY NEED HELP!! PLEASE CAN SOMEONE HELP ME?
Answer:
The Super Sleuths did not find all 100 ounces of gold, they only found 92 2/3 ounces, so they have 7 1/3 more ounces of gold to find left.
Step-by-step explanation:
Pirate hid 100 ounces of gold.
1. 19 1/2 ounces of gold was found.
2. 26 2/3 more ounces of gold was found.
3. 5 1/6 more ounces of gold was found.
4. 48 1/3 more ounces of gold was found.
First, we need to add up all of the ounces of gold that was found.
12 1/2 + 26 2/3 = 39 1/6
5 1/6 + 48 1/3 = 53 1/2
53 1/2 + 39 1/6 = 92 2/3
100 - 92 2/3 = 7 1/3
One side of a rectangle is 5 feet longer than the other side. The diagonal of the rectangle is a side of a square. The area of the part of the square that doesn't overlap with the rectangle is 61 square feet. Find the lengths of the sides of the rectangle
Answer
Step by step explanation
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7(a - 4) plsss help!!!
Answer:
7a - 28
Step-by-step explanation:
multiply a and -4 by 7
7a - 28
PLEASE HELP me with this <3
Answer:
Step-by-step explanation:
410 ft i think
Answer: 75.6
rounded= 76 ft
Step-by-step explanation:
Tan60= x/400 = 692.8
tan62.5= 4/400 = 768.4
x= 75.6ft
Frank ate half of his jellybeans and then bought a package with 16 more. If he now has 20 remaining jellybeans, how many did he have in the beginning?
Answer:
8
Step-by-step explanation:
20-16=4 4*2=8
1) Your t-shirt provider sells you blank t-shirts for $5.00. What percent markup did you
company use? Explain how you determined this percent mark-up.
Answer: 5%
Step-by-step explanation:
Can somebody plz help answer these three word questions correctly thanks a lot >33
WILL MARK BRAINLIEST WHEOEVER ANSWERS FIRST :DDD
Answer:
a) The percent of their games the hockey team won is 60%
b) The percent of their games the hockey team lost is 37% to the nearest percent
c) The percent of their games the hockey team tied is 3% to the nearest percent
Step-by-step explanation:
In any game, there are 3 situations
WinTie LoseThe sum of the three situations is the total number of playing that game
∵ The hockey team won 72 out of 120 games and tied 4
∴ The number of winning games = 72
∴ The number of tying games = 4
∴ The number of total games = 120
→ Find the number of losing games
∵ Win + ty + lose = total games
∴ 72 + 4 + lose = 120
∴ 76 + lose = 120
→ Subtract 76 from both sides
∴ lose = 44
∴ The number of losing games = 44
Now let answer the questions
a)
∵ P%(win) = (winning ÷ total) × 100%
∴ P%(win) = (72 ÷ 120) × 100%
∴ P%(win) = 60%
The percent of their games the hockey team won is 60%
b)
∵ P%(lose) = (losing ÷ total) × 100%
∴ P%(lose) = (44 ÷ 120) × 100%
∴ P%(lose) = 36.66667% = 37% to the nearest percent
The percent of their games the hockey team lost is 37% to the nearest percent
c)
∵ P%(tie) = (tying ÷ total) × 100%
∴ P%(tie) = (4 ÷ 120) × 100%
∴ P%(tie) = 3.333333% = 3% to the nearest percent
The percent of their games the hockey team tied is 3% to the nearest percent
A cheetah can run at a rate of 85 miles in 60 minutes. At this rate, how long would it take a cheetah to run 17 miles?
Answer:
12 minutes
Step-by-step explanation:
85/17=5
60/5=
12
Given the vectors a and b, with lengths 21 and 44 respectively, and cosine of the angle between them equal to StartFraction 7 Over 12 EndFraction, find the scalar projection of a onto b and a · b.
ab =
a · b =
Answer:
First = 49/4
Second = 539
Step-by-step explanation:
The dot product is 539, and the scalar projection of a onto b is 49/4
What is a Vector?Vector is a quantity that has both magnitude and direction.
The scalar projection of a onto b is given by
[tex]\dfrac {a.b}{|b|}[/tex]
a.b = |a| |b| cos[tex]\rm \theta[/tex]
a.b = 21 *44 *(7/12)
a.b = 539
The dot product of a and b is 539.
The scalar projection is
= 539 / 44
= 49/4
Therefore, the dot product is 539, and the scalar projection of a onto b is 49/4.
To know more about Vector
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x divided by7 = 21
plss shelp
Answer:
x divided by7 = 21
therefore x= 3
Step-by-step explanation:
so 21/7 = 3
therefore x=3
Answer:
147
Step-by-step explanation:
you have to multiply 7 by 21
hope this helps dont 4get to like and star
-mercury
guys i need help
how to do 20 - 5(8^3 divided by 16)
Answer:480
Step-by-step explanation: (pemdas) hope this helps
Can you help me with these questions on the bottom plz?
Answer:
13) 140
14)180
15)100
Step-by-step explanation:
13) a line is 180 and dgf is 80, the other one is 40, so 120 -180 is 60. add hat to 80, and you get 140
14) a line is 180
15) a line is 180 bgd is 40, dgf is 80, so egb is 60, add 60 and 40, and you get 100
-1/5=w-4/5 what is the answer to this question?
Answer:
22222222222222222by5y-step explanation:
Is this correct? If not please correct me!
Graph ∆KLM with vertices K(2,2), L(0,- 1), and M(-3,2). Graph ∆K'L'M' with a scale factor of 2. What are the coordinates of the new vertices?
Answer:
The coordinates of the new vertices are:
K'(4,4), L'(0,- 2), and M'(-6,4).
Step-by-step explanation:
In order to dilate a shape by 2, you can simply multiply the coordinates of the orignal triangle each by 2 to find the new coordinates of the new vertices.
K(2,2), L(0,- 1), and M(-3,2)
K'(2*2,2*2), L'(0*2,- 1*2), and M'(-3*2,2*2).
Now become...
K'(4,4), L'(0,- 2), and M'(-6,4).
You can now graph ∆K'L'M' using these coordinates.
Complete the chart below for this word problem.
Canadian Tire is selling coffee mugs. A coffee mug costs $5 and each day the price increases by $2. (The algebraic equation for this: 5+2x)
Fill out the variable chart below for graphing. The days are on the x-axis and the cost is on the y-axis.
Answer:
The y-values from top to bottom are;
3, 5 , 7, 9, 11, 13, 15
Step-by-step explanation:
Here, we want to fill out the given table
Let us have an equation linking x and y
From the question, we can have this as;
y = 5 + 2x
When x = -1
y = 5 + 2(-1) = 3
when x = 0
y = 5 + 2(0) = 5
when x = 1
we simply add 2 to the previous
= 5 + 2 = 7
when x = 2
= 7 + 2 = 9
when x = 3
= 9 + 2 = 11
when x = 4
= 11 + 2 = 13
when x = 5
y = 13 + 2 = 15
State which theorem you can use to show that the quadrilateral is a parallelogram.
Answer:
We can use the theorem ''Parallelogram Diagonals Converse'' to show that the quadrilateral is a parallelogram.
Step-by-step explanation:
We know that the diagonals of any parallelogram bisect each other, each diagonal cutting the other into two equal parts.
In other words, according to Parallelogram Diagonals Theorem Converse, the figure will be a parallelogram if the diagonals of the quadrilateral figure cut (bisect) each other. It is basically the
From the given Parallelogram, it is clear that the diagonals bisect each other, each diagonal cutting the other into two equal parts with the length 3 units.
Therefore, we can use the theorem ''Parallelogram Diagonals Converse'' to show that the quadrilateral is a parallelogram.
Are these triangles similar?
Known angles in Triangle 1: 40º, 60º
Known angles in triangle 2: 80º, 40º
jaime's older brother and his three friends want to split the cost of lunch. they also want to leave a 15%-20% tip. how much should each person pay?
cost of luch : $78.00
Answer:
31.2 Dollars.
Step-by-step explanation:
Answer:
23.4
Step-by-step explanation:
What does ⊥ mean in math ?
plz don't copy from g00gle
Answer:
Perpendicular
Step-by-step explanation:
It is a symbol used for showing any two lines perpendicular to each other.
Answer:
The symbol ⊥ is representative of the perpendicularity of lines.
Step-by-step explanation:
For lines to be perpendicular, they must intersect and form a right angle (90 degrees).
For example, in the image shown:
[tex]AB[/tex] ⊥ [tex]XY[/tex]
This is because the two lines intersect and form a right angle.
which of the following is an arithmetic sequence.
A train in France can travel at a speed of 217.4 miles per hour. A train in China can travel 1.23 times this speed. How fast can the train in China travel in miles per hour?
Answer:
36.1
Step-by-step explanation:
The speed of the train in china is 267.4 miles per hour.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, A train in France can travel at a speed of 217.4 miles per hour.
A train in China can travel 1.23 times this speed to obtain the speed of the train in china we have to multiply how many times it is faster by the speed of the train in France which is,
= (217.4× 1.23) miles per hour.
= 267.4 miles per hour.
learn more about the unitary method here :
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Anna and daniel are playing fraction capture. Anna is trying to find sectiones that add up to 3/4 she knows that 1/4 + 1/4 + 1/4 = 3/4 but she wants to earn an extra point for using a frction with a diffrent denominator. Write another number sentence Anna could use to show a sum of 3/4
Answer: [tex]\frac{1}{4} +\frac{1}{2}[/tex]
Step-by-step explanation:
given data:
fraction = [tex]\frac{3}{4}[/tex]
Solution:
se can make use of the fraction [tex]\frac{1}{4} + \frac{1}{2}[/tex] to get same answer as shown bellow.
[tex]=\frac{1}{4} + \frac{1}{2}[/tex]
first we look for the lcm of the denominators.
[tex]= \frac{2+1}{4}[/tex]
[tex]=\frac{3}{4}[/tex]
.
The rectangle shown
Which set of rational numbers are ordered from least to greatest?
-3
- 2
-1 0
1
2
3
0-1-13.-14.-13
0-1,-1,-1,-1
0 -1,-11/11 - 11/20 - 11
0-13-13-13-1
Help!!
Answer:
B) -1 7/8, -1 1/2, -1 1/4, -1
Step-by-step explanation
which function has the same y-intercept as the function y= 2/3x-3
Answer:
The answer is 6x -7y = 21
Step-by-step explanation:
Im taking the diagnostic
Can you answer this for me plz? Estimate 323 ÷ 5. Part A Which equations show how you can use multiplication to estimate the quotient? (A) 5 × 4 = 20 and 5 × 40 = 200 (B) 5 × 5 = 25 and 5 × 50 = 250 (C) 5 × 7 = 35 and 5 × 70 = 350 (D) 5 × 8 = 40 and 5 × 80 = 400 Part B Use the answer from Part A to estimate the quotient. Enter your answer in the box. The quotient of 323 ÷ 5 is about .
Answer:
30
Step-by-step explanation:
From the given information; we are to estimate 323 ÷ 5
The first thing to do is to round each integer to the nearest whole tens
i.e 323 is approximated to 300
5 is approximated to 10
∴
The estimated quotient of 300 ÷ 10
= 30
From part A, there is no equation that shows us how to use multiplication to estimate the quotient.
what is a factor pair of 72
Hey there!
- Factor pair basically 2 factors that you multiply the given numbers to each other to get a given product (answer)
“Factors of 72”
- So we have to find MULTIPLES that gives you 72
Answers ⬇️
▸ 1 • 72 = 72
(SAME thing with 72 • 1 = 72)
▸ 2 • 36 = 72
(SAME with 36 • 2 = 72)
▸ 3 • 24 = 72
(SAME with 24 • 3 = 72)
▸ 4 • 18 = 72
(SAME with 18 • 4 = 72
▸ 6 • 12 = 72
(SAME with 12 • 6 = 72)
▸ 8 • 9 = 72
(SAME with 9 • 8 = 72)
Good luck on your assignment and enjoy your day!
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