Five people bought tickets for the school play for a total of $65.75. If each ticket was the same price, how much was the cost of each ticket?
Answer:
13.15 is ur answer hope this helped!
each ticket costs $13.15
(Numerical problems) A car is running with the velocity of 72km/h. What will be it's velocity after 5s if it's acceleration is -2m/s square
Step-by-step explanation:
72km/h = 72,000m/3,600s = 20m/s.
Using Kinematics, we have
v = u + at
= (20m/s) + (-2m/s²)(5s)
= 10m/s.
Hence the velocity will be 10m/s. (or 36km/h)
how can you find the area and perimeter?
After answering the presented questiοn, we can cοnclude that The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape
What is equatiοn?An equatiοn in mathematics is a statement that states the equality οf twο expressiοns. An equatiοn is made up οf twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpοse οf equatiοn sοlving is tο determine the value οr values οf the variable(s) that will allοw the equatiοn tο be true.
The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape. Here are sοme cοmmοn fοrmulas:
1. Rectangle:
• Area: A = length x width
• Perimeter: P = 2(length + width)
2. Square:
• Area: A = side x side (οr A = side²)
• Perimeter: P = 4 x side
3. Circle:
• Area: A = π x radius²
• Circumference (perimeter): C = 2π x radius (οr C = π x diameter)
4. Triangle:
• Area: A = (base x height) / 2
• Perimeter: P = side1 + side2 + side3
5. Trapezοid:
• Area: A = ((base1 + base2) x height) / 2
• Perimeter: P = side1 + side2 + side3 + side4
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find the lcm 15 and 20
Answer:
5
Step-by-step explanation:
Assuming that A and B represent any two sets, identify the statement as either always true or not always true.
(A ∩ B) ⊆ A
Step-by-step explanation:
True...it was Answer but not in always
Please help it will help a lot i really need this!!
Answer:
A' = (0,0)
B'=(8,0)
C'=(8,2)
D'=(0,2)
It is not a rigid motion.
Step-by-step explanation:
To use the mapping rule, substitute the original x and y values in it.
The coordinates of A are (0,0).
Using the mapping rule, the x coordinate of A' = 2x0 = 0
Using the mapping rule, the y coordinate of A' = (1/2)x0=0
So A' will not change locations. The image will be at (0,0).
The coordinates of B are (4,0)
Using the mapping rule, the x-coordinate of B' = 2x4 = 8
Using the mapping rule, the y-coordinate of B' = (1/2)x0=0
Therefore the image of B' will be located at coorindate (8,0)
The coorindates of C are (4,4).
Using the mapping rule, the x-coordinate of C' = 2x4=8
Using the mapping rule, the y-coordinate of C' = (1/2)x4=2
Therefore the image of C' will be located at coordinate (8,2)
The coordinates of D are (0,4)
Using the mapping rule, the x-coordinate of D' = 2x0 = 0
Using the mapping rule, the y-coordinate of D' = (1/2)x4=2
Therefore the image of D' will be located at coordinate (0,2)
Is the transformation a rigid motion?
NO, this transformation is not a rigid motion because the relative distance between the points does not stay the same after they have been transformed. The transformation is not a translation , rotation, reflection, nor glide reflection.
A train travels at an average rate of 40 mph and travels for 110 miles . Write an equation
Answer:
the equation is 40/1 = 110/x hours
Step-by-step explanation:
It would take (2 hours and 45 min) for the train to travel this far
Escribe una desigualdad que represente c, la cantidad de velas que necesita vender para pagar Knotts. Explique o muestre su razonamiento
The inequality c ≥ 20 represents the minimum number of candles that need to be sold to pay for a visit to Knotts costing $100 when each candle is sold for $5.
How to Write an Inequality Statement?To write the inequality that represents c, we need to consider the cost of the visit to Knotts and the price of each candle that is being sold. Let's assume that the cost of the visit to Knotts is $100 and each candle is being sold for $5.
We know that the total amount of money she earns from selling c candles is given by 5c, and this amount must be greater than or equal to the cost of the visit, which is $100. Therefore, we can write:
5c ≥ 100
Dividing both sides of the inequality by 5, we get:
c ≥ 20
Therefore, the inequality that represents c is c ≥ 20. This means that she needs to sell at least 20 candles to be able to pay for the visit to Knotts. If she sells fewer than 20 candles, she won't have enough money to cover the cost of the visit.
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please help me solve this
Answer:
bottom right
Step-by-step explanation:
bottom right
how do you write 37/5 as a percentage
Thats 7.40%
302.406 + 7,710.826 What is the sum?
Hi! I believe your answer is 8,013.232. The work is shown below. I hope this helps you! Good luck and have a great day. ❤️✨
Answer:
302.406+7710.826
=8013.232
If Lydia can type 80 words per minute, how long will it take her to type 600 words?
Answer:
7mins
Step-by-step explanation:
Answer:
It will take her 7.5 minutes.
Step-by-step explanation:
600 divided by 80 = 7.5
+add unit
7.5 minsSTATE THE MODULES THAT ARE INCLUDED WHEN LEARNING CALCULUS I.
Answer:
Calculus is the branch of mathematics studying the rate of change of quantities (which can be interpreted as slopes of curves) and the length, area, and volume of objects. The chain rule is a formula for the derivative of the composition of two functions in terms of their derivatives.
In August Maria’s clothing store sold 1547 shirts with the ratio of short sleeve to long sleeve shirt being 9:8. how many short sleeve shirts were sold
The number of short sleeves that Maria sold is 819.
What is ratio?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them.
In this case, Maria’s clothing store sold 1547 shirts with the ratio of short sleeve to long sleeve shirt being 9:8.
The number of short sleeves will be:
= Ratio for short sleeve / Total ratio × Total number of clothes
= 9 / (8 + 9) × 1547
= 9/17 × 1547
= 819
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1. Consider the following quadratic function y=4-5x+3x². a) b) c) Generate the table of values of the function for all x ranging from to Use the table to plot the graph of the function y = f(x) for all scale 4or the y-axis and 2cm to I unit along the x-axis. Using the graph: Solve for the root of the equation 4-5x+3x²=0. Solve the equation 3x² -5x=2. (iii) Determine the range of values of x for which 35x
Answer: \(35x < 4-5x+3x^2\) is \(x < \frac{1}{3}\) or \(x > \frac{4}{3}\)
Step-by-step explanation:
A) To generate the table of values, we can substitute different values of x into the equation and solve for y.
x y
-2 26
-1 12
0 4
1 2
2 10
To plot the graph of the function, we can use the table of values and plot the corresponding points on a graph with a scale of 4 for the y-axis and 2cm to 1 unit along the x-axis. The graph should look like a parabola opening upwards.
c) To solve for the root of the equation 4-5x+3x^2=0, we can use the graph and find the x-coordinate of the point where the graph intersects the x-axis. This point is also known as the x-intercept or the root of the equation. From the graph, we can see that the root is approximately x=0.83.
To solve the equation 3x^2 -5x=2, we can rearrange it to the form 3x^2 -5x-2=0 and factor it as (3x+1)(x-2)=0. This gives us two solutions: x=-1/3 and x=2.
To determine the range of values of x for which 35x<4-5x+3x^2, we can rearrange the inequality to the form 3x^2-40x+4>0 and factor it as (3x-1)(x-4/3)>0. This means that either (3x-1) and (x-4/3) are both positive or both negative.
When (3x-1)>0 and (x-4/3)>0, we get x>1/3 and x>4/3, which means x>4/3.
When (3x-1)<0 and (x-4/3)<0, we get x<1/3 and x<4/3, which means x<1/3.
Therefore, the range of values of x for which 35x<4-5x+3x^2 is x<1/3 or x>4/3.
A cylinder has a radius of 4 millimeters. Its volume is 200.96 cubic millimeters. What is the height of the cylinder?
Answer:
3.999 millimeters.
Step-by-step explanation:
To find the height of the cylinder, we can use the formula for the volume of a cylinder:
V = πr²h
Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).
200.96 = π(4²)h
200.96 = 16πh
To solve for h, we can divide both sides of the equation by 16π:
200.96 / (16π) = h
Using a calculator, we can calculate the approximate value of h:
h ≈ 200.96 / (16 × 3.14159)
h ≈ 3.999
Therefore, the height of the cylinder is approximately 3.999 millimeters.
the percent of fat calories that a person in america consumes each day is normally disributed with a mean of about 36 and a standard deviation of about ten. suppose that 16 indivduals are randomly chosen. true or false: the random variable is defined as the average percent of fat caories consumed each day by a person in america.
Answer:
True
Step-by-step explanation:
Given that
The mean is 36
And, the standard deviation is 10
We take the sample of 16 individuals and the same would be randomly chosen
We need to find out that whether the given statement is true or false
So,
The given statement is true as the random variable means the average percent that could be consumed each day by a person
Find the side lengths. Leave your answers as radicals in simplest form.
1) y = (5/2)√(3), x = 5/2, and 5, 2) y = 2i 3√(2), 4√3 and x = 2i√6 are radicals in simplest form.
Describe Equation?In mathematics, an equation is a statement that shows that two expressions are equal to each other. An equation typically consists of two sides, the left-hand side (LHS) and the right-hand side (RHS), which are separated by an equals sign (=).
Equations are used to represent mathematical relationships and to solve problems in a variety of fields, including physics, engineering, economics, and finance. They can be linear or non-linear, and they may involve one or more variables.
Using the Pythagorean theorem in right triangle ABC, we have:
AC² = AB² + BC²
5² = y² + x²
x² = 25 - y²
Since angle BCA = 60 degrees, we know that:
tan(60) = y/x
√(3) = y/x
y = x√(3)
Substituting this into the equation x² = 25 - y², we get:
x² = 25 - 3x²
4x² = 25
x = √(25/4) = 5/2
And y = x√(3) = 5/2 ×√(3)
Therefore, AB = y = (5/2)√(3), BC = x = 5/2, and AC = 5.
Using the Pythagorean theorem in right triangle DEF, we have:
DF² = DE² + EF²
x² = y² + (4√3)²
x² = y² + 48
Since angle DEF = 60 degrees, we know that:
tan(60) = y/x
√(3) = y/x
y = x√(3)
Substituting this into the equation x² = y² + 48, we get:
x² = 3x² + 48
2x² = -48
x = √(-24) = 2i √(6)
And y = x √(3) = 2i√(18) = 2i 3√(2)
Therefore, DE = y = 2i 3√(2), EF = 4√3 and DF = x = 2i√6.
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Please help solves asap
Answer:
8=41
7=49
10=41
9=49
Step-by-step explanation:
angle 8 is given and since 7 and 8 make 90 then 7 =49 because 90-41=49. 10 and 8 are the same size (at least it looks like it) therefore 7 and 9 are the same too. So that is how I got the answers.
If ST = x + 4, TU = 10, and SU = 9x + 6, what is ST?
Given:
\(\begin{gathered} ST=x+4 \\ \\ TU=10 \\ \\ SU=9x+6 \end{gathered}\)Find-:
The value of "x."
Explanation-:
The line of property
\(SU=ST+TU\)Put the value is:
\(9x+6=x+4+10\)\(\begin{gathered} 9x+6=x+14 \\ \\ 9x-x=14-6 \\ \\ 8x=8 \\ \\ x=\frac{8}{8} \\ \\ x=1 \end{gathered}\)So, the value of "x" is 1.
(3x^3)^2
A. 3x^6
B. 9x^5
C. 6x^6
D. 9x^6
(PLEASE HELPP!!!)
Question: Simplify: (3x^3)^2
Step by Step:
STEP 1 : Equation at the end of step 1
(3x³)²
STEP2:
2.1 x³ raised to the 2 nd power = x( 3 * 2 ) = x⁶
Answer: 3²x⁶
Hope it Helps.
Penelope goes out to lunch. The bill, before tax and tip, was $16.05. A sales tax of 3% was added on. Penelope tipped 18% on the amount after the sales tax was added. How much tip did she leave? Round to the nearest cent.
Answer:
2.98
Step-by-step explanation:
First find 3% of 16.05 which is 0.48.
Then add 0.48 to 16.05 which is 16.53.
Then multiply .18 by 16.53 which gets you 2.98
Hope it helps
Answer:
To find the amount of the sales tax, we need to multiply the bill amount by the tax rate of 3% or 0.03:
Sales tax = 0.03 x $16.05 = $0.48
To find the total amount of the bill after the sales tax was added, we need to add the bill amount to the sales tax:
Total bill = $16.05 + $0.48 = $16.53
To find the amount of the tip, we need to calculate 18% of the total bill after the sales tax was added:
Tip = 0.18 x $16.53 = $2.98
Rounding to the nearest cent, Penelope left a tip of $2.98.
Step-by-step explanation:
A store had apples on sale for $1.10 a pound. Mike spent $5.94 on apples. How many pounds did buy?
Answer:
5.4 lbs
Step-by-step explanation:
5.94 / 1.10 = 5.4
hope this helps! <3
what is 11/2 x 12/7 ?????
Answer: 66/7 or 9.428571429 or 9.43 rounded.
The largest frog in the world is the goliath, It can grow to be 12 inches long. The smallest frog in the world is about 2.5% as log as the goliath. About how long is the smallest frog in the world
Answer:
0.3 inches
Step-by-step explanation:
2.5% = 0.025
The smallest frog is 12 * 0.025 inches, which is 0.3 inches.
Write seven hundred twenty-one in standard form
Answer:
721
Step-by-step explanation:
dog you in elementary school
6) Identify the slope (6,2) and (6,-5) *
Carissa the chessplayer is a very, very slow walker. In fact, she walks at 100 meters per hour when walking uphill, 180 meters per hour when walking across flat ground, and 250 meters per hour when walking downhill. One day, Carissa walks across Boston from a café to a boba shop, and then takes the same route in reverse to return to the café. If there are equal parts of uphill, flat ground, and downhill, then what was Carissa's average speed during the entire round trip?
According to the statement, the Ship must move at an average pace of 150 meters per hour.
Is Downhill unfavorable?The variable under examination is lessened when the gradient is "downhill" (negative). When used as a gauge of how well things are doing, "downhill" denotes a downward trend. Yet, if this indicates trouble or some other unpleasant quality, the situation is improving.
The chess player Carissa walks very, very slowly. She actually moves at speeds of 100 meters per hr upward, 150 meters per hr on flat terrain, and 200 meters every hour on downhill terrain.
Here,
Carissa traverses Boston on foot from a coffeehouse to a boba store before returning over the same path.
Total distance walked = 2 [200 + 100 + 150] = 900 meter
Total time = 2 [1 + 1 + 1] = 6 hour
Average speed is calculated as distance divided by time (900 / 6 = 150 m/s),
As a result, the needed Carissa average speed is 150 meters per hr.
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help asap please!! yea
Answer:
C
Step-by-step explanation:
h(x)=8(x+6)^2-9
6 units to the left and 9 units down
2. Two puppies together weigh 22 kilograms 300 grams. If one
puppy weighs 9 kilograms 500 grams, how heavy is the other
puppy?
Tip: 1 kg = 1000 g
answer asap
Answer:
B = 12800 grams or 12kg 800 grams.
Step-by-step explanation:
Let the two puppies be A and B respectively.
Translating the word problem into an algebraic expression, we have;
A + B = 22kg 300g
A = 9kg 500g
Conversion;
1 Kilograms = 1000 grams.
9kg 500g = 9*1000 + 500 = 9500 grams
22kg 300g = 22*1000 + 300 = 22300 g
Substituting into the above formula, we have;
9500 + B = 22300
B = 22300 - 9500
B = 12800 grams or 12kg 800 grams