First, we need to make a visual. I can do this by making a list, like in a data set. Let b = blue and r = red.
(b, b, b, r, r, r, r)
Note that this is not necessarily the order.
Now we can modify the order.
1. The first car is blue
This is already done!
2. The last car is blue.
We can trade the second blue with the last red.
(b, r, b, r, r, r, b)
3. The middle car is blue.
We can trade the middle red with the third blue.
(b, r, r, b, r, r, b)
This arrangement we have created follows the rules. It is one possible queue!
5. But we aren't done yet! We need to figure out if there are any more arrangements.
There is none. We know this because there are only three cars that are blue, and three spots these cars MUST park in.
Therefore, we could not swap any colors without maintaing the rules.
Answer: There is one possible arrangement of the queue:
(b, r, r, b, r, r, b)
Please let me know if this was helpful, or if you have any questions. If you have time, I'd be so grateful for a rating!
Answer:
144
Step-by-step explanation:
According to the question, we can represent the pattern of the red and blue cars in the following way below:
B, R, R, B, R, R, B
We are given that there are 3 blue and 4 red cars in total
The first blue car has 3 possibilities, and each time a blue car is parked, we now have one less possibility (the same can be done with the red cars)
So, the number of possibilities for each spot in the pattern can be multiplied together:
3 x 4 x 3 x 2 x 2 x 1 x 1 = 144
Hope this helps!
A crate containing 16 bags of powdered milk weighs of 63.2 lbs. The weight of the empty crate is 2.4 lbs. Select all equations that can be solved to find the weight of one bag of powdered milk.
1. 63.2 = 18.4b
2. 63.2 = 2.4 + 16b
3. 60.8 = 16b
4. b = 60.8/16
5. 60.8b = 16
thank you <3
Answer:
2, 3 , 4
Step-by-step explanation:
A crate containing 16 bags of powdered milk weighs of 63.2 lbs.
The weight of the empty crate is 2.4 lbs
The weight of the milk by itself is the difference of full and empty crate 63.2 - 2.4 = 60.8
To find the weight of one bag of powdered milk divide 60.8 by 16 = 3.8 lb
Find the area to the nearest hundredth
Answer:
9.0586 OR
9.06
Step-by-step explanation:
IDK, used fusion 360
Find the surface area of the cube for 1/4
Answer:
6a^2Step-by-step explanation:
This is the answer
"To find the surface area of a cube, use the formula: surface area = 6s^2, where s is the length of one of the sides. If you don't know the length of the sides, you can find the surface area using volume. Just find the cube root of the volume, which is equal to the length of one side of the cube."
Hope this helps!BC =
Round your answer to the nearest hundredth.
Answer:
Since its a right triangle you automatically know the C is 90 degrees. And since all triangle have to add up to 180 degrees, you know B has to equal 40 degrees.
A= 50
B= 40
C= 90
B + C
40 + 90
BC = 130 degrees
Answer:
2.3
Step-by-step explanation:
Khan
HELLPP
The graph of the function f (x) and the transformer graph f(x)+k are shown below
Answer:
The point of the curve on the bottom line.
Step-by-step explanation:
I think it is the point/middle of the curve on the bottom line that is the answer. I cannot give specific numbers or anything because of how unfocused the camera is. I hope this helped in any way.
For the sequence below, identify the type of sequence and important features
You are wakeboarding on a river. You travel 2 miles downstream to a marina for supplies, and then you travel 3 miles upstream to a dock. The boat travels x miles per hour during the entire trip, and the river current is 3 miles per hour.
How long will the trip take when then speed of the boat is 18 miles per hour? Round to the nearest tenth minute.
Let x represent the speed of of boat.
We have been given that the river current is 3 miles per hour.
The speed of boat upstream will be [tex]x-3[/tex].
The speed of boat downstream would be [tex]x+3[/tex].
[tex]\text{Time}=\frac{\text{Distance}}{\text{Speed}}[/tex]
We have been given that you travel 2 miles downstream to a marina for supplies, and then you travel 3 miles upstream to a dock.
We can represent this information in an equation as:
[tex]\text{Time}=\frac{2}{x+3}+\frac{3}{x-3}[/tex]
Since the speed of the boat is 18 miles per hour, so we will substitute [tex]x=18[/tex] in above equation and solve for time.
[tex]\text{Time}=\frac{2}{18+3}+\frac{3}{18-3}[/tex]
[tex]\text{Time}=\frac{2}{21}+\frac{3}{15}[/tex]
[tex]\text{Time}=\frac{2}{21}+\frac{1}{5}[/tex]
[tex]\text{Time}=\frac{2\cdot 5}{21\cdot 5}+\frac{1\cdot 21}{5\cdot 21}[/tex]
[tex]\text{Time}=\frac{10}{105}+\frac{21}{105}[/tex]
[tex]\text{Time}=\frac{31}{105}[/tex]
[tex]\text{Time}=0.295238095[/tex]
Since time is in hours, so let us convert our given time in minutes.
1 hour = 60 minutes.
[tex]\text{Time}=0.295238095\times 60\text{ minutes}[/tex]
[tex]\text{Time}=17.7142857\text{ minutes}[/tex]
Rounding to nearest tenth of minute.
[tex]\text{Time}\approx 17.7\text{ minutes}[/tex]
Therefore, it will take approximately 17.7 minutes for the boat to take the trip.
Which inequality is true for x=20
Answer:
x divided by 4 < x - 12
Step-by-step explanation:
We would need all the inequalities you have to test if they are true <3
Consider the following polynomial.
-2xys + 3x? - 10x°y6 + 8x + 4
Which of the following statements are true? Select all that apply.
-The polynomial has 5 terms.
-The leading coefficient is -2.
.
-The degree of the polynomial is 7.
-The constant term is 4.
-The polynomial is in decreasing degree order.
Answer:
Step-by-step explanation:
If you write correctly:
[tex]P = -2xys+3x? - 10xy^{6} +8x+4\\[/tex]
I do not know the "?" in the formule de P
-The polynomial has 5 terms. Yes
-The leading coefficient is -2. No
.
-The degree of the polynomial is 7. Yes
-The constant term is 4. Yes
-The polynomial is in decreasing degree order. No
The circumference of a lacrosse ball is 8 in. Find its volume to the nearest tenth of a cubic inch.
Answer:
V = 8.6 in^3
Step-by-step explanation:
The circumference is given by
C = 2 * pi *r
8 = 2 * pi *r
Divide each side by 2pi
8 /2pi = r
Using 3.14 for pi
1.27388535 = r
The volume of a sphere is given by
V = 4/3 pi r^3
V = 4/3 (3.14) (1.27388535)^3
V =8.654847391
To the nearest tenth
V = 8.6 in^3
The number of people, N, that Denis can invite to his party is dependent on the amount of money, x, in dollars,
that he saved up for the party and can be modeled by the function N(x)=x/25.
The amount of money that
Denis saved for the party, M, in dollars, is dependent on the number of overtime hours, h, he worked this week
and can be modeled by the function M(h) = 50h + 150.
Find an explicit expression that models the number of people that Denis can invite to his party if he worked h
overtime hours this week.
Answer:
N(h) = 2h + 6
Step-by-step explanation:
A model of the number of people that Denis can invite to his party:
N(x) = x/25.............(1)
Where x = amount of money saved
Amount of money saved can be modeled by the equation:
M(h) = 50h + 150...........(2)
In the above model, h = number of overtime hours
M(h) = amount of money saved = x
Therefore equation (1) can be re - written as:
N(x) = M(h)/25.................................(3)
Substituting equation (2) into equation (3)
[tex]N(h) = \frac{50h + 150}{25} \\N(h) = \frac{50h}{25} + \frac{150}{25} \\N(h) = 2h + 6[/tex]
Find an explicit expression that models the number of people that Denis can invite to his party if he worked h overtime hours this week can be expressed as:
N(h) = 2h + 6
A quadratic has been factored, as shown below:
f(x) = (x − 6)(x + 5)
What are the zeros of the quadratic?
a
6 and −5
b
6 and 5
c
-6 and 5
d
-6 and -5
Answer:
a
Step-by-step explanation:
Given
f(x) = (x - 6)(x + 5)
To find the zeros, let f(x) = 0, that is
(x - 6)(x + 5) = 0
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 5 = 0 ⇒ x = - 5
Simplify, using the distributive property and then combining like terms. 2(x+y)+(2x−2y)
Answer:
4x
Step-by-step explanation:
[tex]2(x + y) + (2x - 2y) \\ = 2x + 2y + 2x - 2y \\ = 2x + 2x + 2y - 2y \\ = 4x + 0 \\ = 4x[/tex]
100 POINTS NEEDED RIGHT NOW! On a graph plot the points where the following function crosses the x-axis and y-axis g(x) = -5^x+5
Answer:
see below
Step-by-step explanation:
X-AXIS
when a graph intersects the x-axis, the y value is always 0.
Ex. Points (1,0), (-5,0), (-3,0), (6,0), etc. are all on the x-axis because y = 0.
to find where the graph crosses the x-axis, let y or g(x) = 0
0 = -5^x + 5 subtract 5 from both sides
-5 = -5^x if x is 1, that would produce -5 = -5
(1,0) x axis
Y-AXIS
when a graph intersects the y-axis, the x value is always 0.
Ex. Points (0, 1), (0, -2), (0, 3), etc. all lie on the y-axis because x = 0.
to find where teh graph crosses the y-axis, let x = 0
does the exponent "x" apply to (-5) or just 5?
[tex]-5^{x} or (-5)^{x}[/tex]
(-5)^0 + 5 any number with a 0 power is 1
1 + 5 = 6
(0, 6)
or -5^0 + 5
-1 + 5 = 4
(0, 4)
Answer:
The person above is correct. this is just confirmation
Step-by-step explanation:
Three people hiked the same 1 mile trail. The distance for each hiker is reperesented in the drawing. Show about where the 1 mile mark should be on each drawing.Explain
Answer:
Okay, so for the first line, measure the distance between the start and the 0.5 miles. Then add that distance to the other side of the 0.5 miles and then put a mark.
For the second one measure the distance between the start line and the 0.25 miles and then add that distance to the other side three more times and then put a mark.
And for the last one, use the distance that you used for the second one and put it after the 0.75 mark.
Step-by-step explanation:
What is the equation, in point-slope form, of the line that is
parallel to the given line and passes through the point (-3,
1)?
1.y-13-3(x+3)
2.y-1=-{(x+3)
3.y-1= {(x+3)
4. y- 1=(x + 3)
Answer:
The second equation in attached picture
Step-by-step explanation:
Since the slope of the given line is 3/2, then you take the negative reciprocal, which is -2/3. So the second equation in your attached picture is correct.
please help me it is math
Answer:
C is face
B is edge
A is vertex (where 2 or more points meet)
PZZZZZZZZZ HELP ME I AM TIMED
Answer:
6 feet
Step-by-step explanation:
Look at the attachment
I need help with this please ASAP!!!!
Answer:
C, 9.4
Step-by-step explanation:
No Solutions
2x + 9 + 3x +2=
C+
One Solution
2x + 9 + 32 +2=
2+
Infinitely Many Solutions
2x + 9 + 3x + x =
2 +
Answer:
so for the x it will be 6x to get no solution
Step-by-step explanation:
see if you add 2x+3x+x you get 6x for getting no solution you have to subtract from same number which will be 6x
Draw the shape described below and find its total surface area.
A cylinder 25 ft tall with a diameter of 12 f
Answer:
hope this helps :)
Step-by-step explanation:
8:07
Cylinder volume & surface area (video)
HElp THIS IS hard please!
Answer:
2750
Step-by-step explanation:
so the sum of all the numers is 200, so lets divide the number we need, 22, in half leaving us with 11
11% of 25,000 is 2750
harold collected data on the daily high temperature in two cites over a period of one week . he analyzed the data and found the measures below . which statement is true based on these measures
Answer:
The temperature in Carlton was always cooler than in Borden.
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Consider the following number line: A A B B C C 1.1 1.1 0 0 Select a reasonable value for Point B Bstart color #11accd, B, end color #11accd. Choose 1 answer: Choose 1 answer: (Choice A) A 2.1 2.12, point, 1 (Choice B) B 5.4 5.45, point, 4 (Choice C) C − 0.9 −0.9minus, 0, point, 9 (Choice D) D − 0.77 −0.77minus, 0, point, 77
Answer:
c.-1.9
Step-by-step explanation:
Answer:
0.8
Step-by-step explanation:
What is the area of a 18 feet by 12feet garden and an 15 feet by 15 feet garden
Answer:
18x12=216>area
15x15=225>area
Step-by-step explanation:
thats all that i know of from your question
sorry if i could't help
4) The diameter of a circle is 32m. The radius is represented by 4(x + 2).
Part A: Write an equation you can use to find the value of x.
Part B: What is the value of x?
Answer:
The value of x is 2
Step-by-step explanation:
Diameter = 2r -------------------------------------------------------------------(1)
where r is the radius
The value of the diameter = 32 m and radius is given to be 4(x+2)
substitute the above into equation (1) and then solve for x
32 = 2 [ 4(x + 2)]
first open the inner bracket
32 = 2[4x + 8}
then open the outer bracket
32 = 8x + 16
subtract 16 from both-side of the equation
32 - 16 = 8x +16 - 16
16 = 8x
Divide both-side of the equation by 8
16/8 = 8x/8
2 = x
x = 2
Therefore, the value of x is 2
1 point
The probability of rain on Sunday is 0.7 and the probability of rain on Monday is 0.2.
What is the probability that it rains on BOTH Monday and Tuesday?
Write your answer as a decimal rounded to the nearest hundredth (2 decimal places).
Type your answer...
Answer:
0.03
Step-by-step explanation:
Given data
Probability that it will rain on Sunday= 0.7
Probability that it will rain on Monday = 0.2
Firstly we need to solve for the probability that it will rain on Tuesday
Sample space S = number of week days = 7
Probability that I will rain on Tuesday = 1/7= 0.14
Hence the probability that it rains on BOTH Monday and Tuesday= 0.2*0.14= 0.028
Rounding up the nearest hundredths = 0.03
Which expression can be used to find the surface area of the following rectangular prism?
Answer:
d
Step-by-step explanation:
to find the surface area you have to add all the following numbers and double them
hope this helps
Answer:
D, if it is correct plz say thanks to let me know it is correct
Step-by-step explanation:
help please, Find the perimeter of the figure to the nearest hundredth.
Answer:
[tex]p=38.84[/tex]
Step-by-step explanation:
Since there are two half circles, we just need to work to find the perimeter of a whole circle. The formula for the perimeter (circumference) of a circle:
[tex]C=2\pi r[/tex]
We need to know the radius to find the circumference. By studying the figure, we know that the length of the entire shape is 12 ft. We also know that on either side of the half circles, the length is 3 ft. If we divide 12 by 3, we see that the total length of 12 ft can be broken into 4 parts, each measuring 3 ft. The radius is half the diameter, so the radius is 3. Insert the values:
[tex]C=2*3.14*3[/tex]
Simplify:
[tex]C=18.84[/tex]
Now add the values of the exposed parts of the rectangle:
[tex]18.84+3+3+3+3+3+3=36.84[/tex]
The perimeter is 36.84.
:Done
I really need help 6TH GRADE MATH (Photo Attached) 2 Questions Thank you
Answer:
1) 90!
2) False
Step-by-step explanation:
Had to think about this one for a bit
but i hope this helps
Answer:
1. 86
2. false
Step-by-step explanation:
