the golden ratio is denoted by which greek letter?
Φ phi
find the mean of the following numbers 14,17,28,49
Answer:
27
Step-by-step explanation:
14 + 17 + 28 + 49 = 108
108 / 4 = 27
A bag contains 5 red marbles, 3 green marbles, and 2 blue marbles. If Nathan draws two marbles without replacing them, what is the probability he will draw 2 red marbles?
Answer:
It would be a 2/9 chance.
Step-by-step explanation:
So to start, the total amount of marbles is 10, as there's 5 red marbles, 3 green marbles, and 2 blue marbles.
With this, in the first draw, there's a 5/10 chance that a red one will be picked since there's 5 reds of the 10 total.
Since the marbles aren't put back, if a red's chosen in the first draw, it wouldn't be there in the second draw. Therefore in the second draw, there would be 4 reds and 9 in total.
With this, in the second draw, there's a 4/9 chance that a red one will be picked since there's 4 reds of the 9 total.
Now, combine these two probablities by multipliying them and you've got your answer!
5/10 * 4/9 = 20/90 ---> 2/9
Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution. Find the percent concentration of the first solution. (a) 70% (b) 61% (c) 69% (d) 67%
Answer:
67%
Step-by-step explanation:
Let the percentage of the first solution = x
7 gallons + 4 gallons = 11 gallons
Our system of equation is
Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution.
7 gallons × x % + 4 gallons × 80% = 72% × 11 gallons
= 7x + 3.2 = 7.92
Collect like terms
7x = 7.92 - 3.2
7x = 4.72
x = 4.72/7
x = 0.6742857143
Converting to percentage
0.6742857143 × 100
= 67.42857143%
Approximately, the percent concentration of the first solution is 67%
Simplify this expression using the distributive property.
2(2z+9)
Answer:
[tex]\bold{4z+18}[/tex]
Step-by-step explanation:
Hi there!
The Distributive Property states that
[tex]\bold{a(b+c)=ab+ac}[/tex]
Now, let's use this property to solve our problem:
[tex]\bold{2(2z+9)}[/tex]
[tex]\bold{4z+18}[/tex]
Hope it helps! Enjoy your day!
~Just a teenage girl willing to help
[tex]\bold{Besties4Ever:-):-)}[/tex]
Hi, let me help you out!
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In order to simplify this, we're going to use a property that's called the Distributive Property:
[tex]\longrightarrow\tt{a(b+c)=ab+ac}[/tex]
Where a, b, and c can be variables, constants, or both (like 4c).
Now let's simplify our expression:
[tex]\longrightarrow\tt{2(2z+9)}[/tex]
Multiply 2 times 2z and 9:
[tex]\longrightarrow\tt{4z+18}[/tex]
Hence, we conclude that the answer is: [tex]\tt{4z+18}[/tex].
I hope this helps you! Have an awesome day.
If you need any explanation or clarification, just let me know! :)
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PLEASE I NEED HELP! I WILL GIVE BRAINLIEST IF YOUR ANSWER IS CLEAR!!!!! ALSO NO LINKS PLEASE!
Answer:
1. How many packages are delivered each hour.
2. Find the correlating variable on the graph.
3. 105 packages
4. If the truck driver delivers 15 packages an hour. Divide 120 by 15 to get 8 hours. 120/15= 8 hours to deliver 120 pqckages.
Hola, ¿cómo está tu día?
Answer:
Muy bien, y usted?
Answer:
es una pregunta o necesitas eso traducido al inglés ¿?
A teacher would like to estimate the mean number of steps students take during the school day. To do so, she selects a random sample of 50 students and gives each one a pedometer at the beginning of the school day. They wear the pedometers all day and then return them to her at the end of the school day. From this, she computes the 98% confidence interval for the true mean number of steps students take during the school day to be 8,500 to 10,200. If the teacher had used a 90% confidence interval rather than a 98% confidence interval, what would happen to the width of the interval
Answer:
The answer is "It would decrease, but not necessarily by 8%".
Step-by-step explanation:
They know that width of the confidence level is proportional to a confidence level. As just a result, reducing the confidence level decreases the width of a normal distribution, but not with the amount of variance in the confidence level. As just a result, when a person teaches a 90% standard deviation rather than a 98 percent normal distribution, the width of the duration narrows.
help I don’t know the answer
hey! i’ll give brainliest pls help.
Answer:
hello there!
The correct option should be the second option and the fourth option!
Step-by-step explanation:
comets usually come from the kuiper belt, and the oort cloud.
anyways, hope this helped! qwq
30 in.
10 in.
10 in.
30 in
20 in
Find the area of the arrow above.
square inches
Answer:
1100 Inches Squared
Step-by-step explanation:
Let the triangle on the top right be - (i)
Let the triangle on the top left be - (ii)
Let the bottom rectangle be - (iii)
1) The base of the triangle (i) = 10 + (20/2) (It is the base of the rectangle halfed + the given amount of half base of the triangle)
=> 10 + 10
=> 20 in
Base = 20 in
Height = 30 in
Area = 1/2 * 20 * 30
=> 10 * 30
=> 300 in
Triangle (i) = (ii)
So, the area of triangle (ii)
=> 300 in
Area of rectangle,
Length * Breadth
=> 20 * 30
=> 500 in
Total arrow's area = 300 + 300 + 500 (i + ii + iii)
=> 1100
Therefore the total area of the shape = 1100 in squared.
Hope it helps :)
HELP ME PLZ AN DTHANK YOU
Answer:
6(2 + 2/3x) = 12 + 4x
Step-by-step explanation:
...............
Answer:
6(2 + [tex]\frac{2}{3}[/tex] x ) = 12 + 4x
Step-by-step explanation:
Note that
6 × [tex]\frac{2}{3}[/tex] = 4
Then
6(2 + [tex]\frac{2}{3}[/tex] x ) ← is the required expression
Please help.
Determine which lines are parallel and which are perpendicular. Explain your reasoning.
Answer:
Parallel: a and b, p and q, p and r, q and r
PErpendicular: p&a, p&b, q&a, q&b, r&a, r&b
Step-by-step explanation:
Parallel lines have the same slope so both of the lines would be going in the same direction and will never cross each other.
Perpendicular lines cross at a 90 degree angle.
Technically you do not know if q&a and q&b are perpendicular because you do not know if there is a 90 degree angle
Answer:
Parallel lines are equally spaced out in the same direction so it would be p,q, and r, Purpendicular Lines intersect at a 90 degee angle so it would be q and a, q and b, r and b, and r, and so on
Step-by-step explanation:
*LOOK AT PICTURE FOR QUESTION*
F) 20.5 in
G) 14.74 in
H) 9.3 in
J) 10.1 in
will you have enough room for a dance floor that is 8 m x 8 m please explain why or why not
asap
pls help me out here! ty in advance!!
Answer:
the value for x=50
Step-by-step explanation:
180=74+56+x
180=130+x
x=50
Debbie has at most $60 to spend on clothes. She wants to buy a pair of jeans for $22 and the rest on t-shirts. Write an inequality that represents the relationship between the amount of money Debbie has and how much she can spend on t-shirts.
Answer:
22+8x less then or equal to 60
Step-by-step explanation:
Debbie has at most $60 to spend
Then it will be <=60
Now she has to spend 22 dollars on jeans so 22 will be add to the initial amount for sure.
And
Let x be the number of t-shirts
Then the cost of x t-shirts will be 8x
Putting this in to inequality will be:
The inequality to find the maximum number of t-shirts is:
Someone please help me
Answer:
y=x^2 - 1, y=5x^3 + 9, and y=2x(x-3)
Step-by-step explanation:
these equations are either parabolas or a cubic function. These graphs do not have a constant rate of change, proving that Jimmy is incorrect. y=20-4x and y=15 are both straight lines/linear.
If a=-2 and b = 3, what is the value of -3a2b?
1.
-36
2.
36
3.
-54
4.
54
Answer:it’s -36
Step-by-step explanation:
A quality control inspector at a clothing manufacturer
Quality control inspectors monitor quality standards for nearly all manufactured products, including foods, textiles, clothing, glassware, motor vehicles, electronic components, computers, and structural steel. Specific job duties vary across the wide range of industries in which these inspectors work.
Alonzo runs each lap in 6 minutes. He will run at most 30 minutes today. What are the possible numbers of laps he will run today?
Use n for the number of laps he will run today.
Write your answer as an inequality solved for n.
Answer:
N= 5
Step-by-step explanation:
30 ÷ 6 = n
n = 5
30 ÷ 6 = 5
Hope this helps!!
A hot air balloon descends from an altitude of 2,000 feet at a constant rate of 90 feet per minute. The graph shows the altitude of the balloon over time. Write a linear function in the form y = mx + b to represent the situation.
Answer:
y=90x+2,000
y=mx+b
Find the area of this triangle
Answer:
6km² sounds like a reasonable answer
The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = 8
Step-by-step explanation:
If a triangle is equilateral, each vertex has an angle that is equal to 60 degrees
As we can see, we have two sets of similar right triangles
The value x faces the right angle and that makes it the hypotenuse
Also, the side measure 4 is the adjacent side to the angle 60
The trigonometric identity that relates the hypotenuse and the adjacent is the cosine
it is the ratio of the adjacent to the hypotenuse
Mathematically;
cos 60 = 4/x
x = 4/cos 60
x = 8
A truck driver is hauling furniture for a moving job. He travels an average
of 40 miles per hour. It takes a total of 17 hours to reach his destination.
How many miles is it to his destination?
Answer:
680 miles
Step-by-step explanation:
Multiply the mph by the total hours to get your answer
40 × 17 = 680
Have a great day! :)
Answer:
680 Miles
Step-by-step explanation: Miles per hour times Hours
40 times 17
Four lines are shown in the graph below.
Which line has the slope with the greatest value?
A
line A
B
line B
C
line C
D
line D
Answer:
D
Step-by-step explanation:
A vertical line will have the steepest slope
If two triangles are congruent, then all three___and all three___are congruent.
Answer:
Angles and Sides (or sides and angles, doesn't matter).
Step-by-step explanation:
Congruent triangles all have the same angle measures and side lengths.
Please mark me as brainliest!!!!!!!
Which shows how to determine the volume of the pyramid?
Answer:
d would be correct
Step-by-step explanation:
A pyramid is a polyhedron formed by connecting a polygonal base and an a a p e x. The basic formula for pyramid volume is the same as for a cone: volume = (1/3) times base area times height, where height is the height from the base to the a p e x. That formula is working for any type of base polygon and oblique and right pyramids.
Find the volume of the prism
Answer:
Step-by-step explanation:
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.
Which equation best represents the relationship between x and y in the graph?
A. y = 3x + 3
B. y = x + 3
C. y = 3x - 1
D. y = 13 - 1
15 points pls I need ASAP
Answer:
A. y = 3x + 3
Step-by-step explanation:
y=mx+b
b is the y-intercept (0,y) so lets start with that
We can see that the line touches 3 on the y intercept to get (0,3) meaning b=3
For the slope (m) I like to count rise over run so if we start from (0,3) and go up 3 over 1 we get 3/1 or 3 for m
The whole equation is y=3x+3
[tex]\frac{3}{4}\alpha-1\frac{1}{5}=2\frac{3}{4}[/tex]