4Answer:
exact form:
[tex]\frac{21}{5\\}[/tex]
decimal form:
4.2
mixed number form:
4[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
A concert organizer learned from a market survey that when the admission price is $30, there is an average attendance of 800 people. For every $1 drop in price, there is a gain of 20 customers. Each customer spends an average of $5 on concessions. The concert hall has 1,000 seats.
Answer:
[tex]\mathbf{ P =D(x)= 70 -\dfrac{ x}{20}}[/tex]
Step-by-step explanation:
From the information given :
The objective is to find the demand function which is expressed in p, the price in dollars charged for each ticket, as a function of x, and the number of average attendance is:
Suppose the admission price P = D(x) = 30 and number of average attendant = x = 800 people
Then:
ΔP = -1
Δx = 20
[tex]\left \{ \dfrac{\Delta x}{\Delta P }= -20 }}\ \right.[/tex]
According to point line form :
[tex]\dfrac{\Delta x}{\Delta P }= -20[/tex] where the point is (30, 800)
∴
x - 800 = -20 (P - 30)
x - 800 = -20P + 600
collect like terms
x + 20P = 800+ 600
x + 20P = 1400
x = 1400 - 20P
[tex]\mathsf{ P = 70 -\dfrac{ 1}{20}x}[/tex]
Thus, price in dollars for each ticket P = D(x) is:
[tex]\mathbf{ P =D(x)= 70 -\dfrac{ x}{20}}[/tex]
1) What is the VERTEX of the Quadratic Graph below?*
( 0, -4 ) is the vertex of the parabola
A cone has a diameter of 6 inches and a height of 8 inches. Find the volume of the both in terms of π and using 3.14 for π.
Answer
1- 61.95
2- 82.6
Step-by-step explanation:
V=πr2h divided by 3
0.375, 75% , 5/8, 1/2
From least to greatest pls
Two equations are shown: I will give 40 pts if someone answers
Equation 1: (x – 12) = 12
Solve each equation.
Answer:
x and y both equal 24
What is the area of triangle below?
un icosagono es un poligono que contiene 20 lados, cuantas diagonales se pueden trazar desde todos sud vertices si cada lado mide 15cm y su area es 900cm2?
Answer:
El número de diagonales de un icoságono = 170 diagonales
Step-by-step explanation:
Los parámetros dados son;
El número de lados del polígono = 20
La longitud de cada lado = 15 cm.
El área del polígono = 900 cm²
La fórmula para encontrar el número de diagonales, ∑D, de un polígono de n lados se presenta como sigue;
Número de diagonales, ∑D = n (n - 3) / 2
Por lo tanto, el número de diagonales de un icoságono (20 lados) ∑D (20) es;
∑D (20) = 20 × (20 - 3) / 2 = 170 diagonales.
Se pueden trazar 170 diagonales en un icoságono.
Matemáticamente, es posible determinar la cantidad de diagonales en función del cantidad de lados del polígono a través de la siguiente fórmula:
[tex]d = \frac{n\cdot (n-3)}{2}[/tex] (1)
Donde:
[tex]d[/tex] - Cantidad de diagonales.[tex]n[/tex] - Cantidad de lados.Si sabemos que [tex]n = 20[/tex], entonces la cantidad de diagonales del icoságono es:
[tex]d = \frac{20\cdot (20-3)}{2}[/tex]
[tex]d = 170[/tex]
Se pueden trazar 170 diagonales en un icoságono.
Invitamos cordialmente a ver esta pregunta sobre polígonos: https://brainly.com/question/10956189
Please help me!!!
Michael's parents doubled his pocket money. His sister paid $1 for ice-cream from her pocket money and he paid $3 of his poket money for an new toy. After making these payments, they have the same money left. If his sister's pocket money is $6, what was Michael's pocket money before doubling it?
1. How much money did they together have after making the payments?
2. How much money did Michael have after his pocket money was doubled. Find the value of x.
3. How much did Micheal's sister have before making the payment?
(ONLY THE ANSWER)
Answer:
x = $4
1. $10
2. $8
3. $6
Step-by-step explanation:
Let
Michael's doubled pocket money = 2x
He spends $3
Balance = 2x - 3
His sister's pocket money = $6
She spends $1
Balance = $6 - $1
= $5
2x - 3 = 5
2x = 5 + 3
2x = 8
x = 8/2
= 4
x = $4
After making the payments, they both together have $10
After Michael's pocket money was doubled, he has 2x
= 2(4)
= $8
His sister's has $6 before making the payments
A poll conducted the day before the student- body presidential election at a midwestern university showed that 53.9 percent favored Mario, the rest favoring Yin Ling. The margin of error was 4.2 percentage points. Should Yin Ling have conceded the election?
Answer:
No
Step-by-step explanation:
The confidence interval of the percentage of people that favored Mario = number of votes favoring Mario ± Margin of error
The confidence interval = 53.9% ± 4.2% = (49.7%, 58.1%)
This means that between 49.7% to 58.1% of the people would have voted for Mario.
Hence Yin Ling would not have won the election, since there is a probability that 50% would have voted for Mario
The annual gas bill for a town household are considered to be normally distributed with a mean of $ 1130 and a standard deviation of $ 150. If one household is randomly selected, what is the probability that the gas bill will be between $900 and $1100?
Answer:
The probability is [tex]P(900 < X < 1100) = 0.358102[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = \$ 1130[/tex]
The standard deviation is [tex]\sigma = \$ 150[/tex]
Generally the probability that the gas bill will be between $900 and $1100 is mathematically represented as
[tex]P(900 < X < 1100) = P(\frac{900 - 1130 }{150 } < \frac{X - \mu}{\sigma } < \frac{1100 - 1130 }{150 } )[/tex]
=> [tex]P(900 < X < 1100) = P(-1.533 < \frac{X - \mu}{\sigma } < -0.2 )[/tex]
Generally [tex]\frac{X - \mu}{\sigma } = Z (The\ standardized \ value \ of \ X)[/tex]
So
[tex]P(900 < X < 1100) = P(-1.533 < Z< -0.2 )[/tex]
[tex]P(900 < X < 1100) = P( Z< -0.2 ) - P(Z < -1.533)[/tex]
From the z table
[tex]P(Z < -0.2 ) = 0.42074[/tex]
and
[tex]P(Z < -1.533) = 0.062638[/tex]
So
[tex]P(900 < X < 1100) = 0.42074 - 0.062638[/tex]
=> [tex]P(900 < X < 1100) = 0.358102[/tex]
Combine like terms
9w-w =
Is the following figure a parallelogram? Why?
P
O No, opposite angles are congruent.
O Yes, opposite sides are congruent.
O No, opposite sides are congruent.
O Yes, opposite angles are congruent.
pls help again (picture below)
Answer:
C 10 to the power of 7 equals 10,000,000 and x 3.45 = 3450000000
Step-by-step explanation:
I need help if you can.
Answer:
I cant see the equation that well, but i got 5/16
Step-by-step explanation:
Hope this helps!
Answer:
I got C) 1 and 1/4
Step-by-step explanation:
-0.5 + 0.75 = 0.25
1/5 = 0.20
0.25 divided by 0.20 would be over 1 because a fraction divided by another fraction brings the number while a whole number divided by a fraction would bring the number down.
0.25 divided by 0.20 = 1.25
Hector had $98.70. He spent $52.67 for school clothes. How much money does Hector have left?
Answer:
$46.03
Step-by-step explanation:
Answer: A) $ 46.03
Step-by-step explanation: I took away $98.70 and $52.67 and I got A as answer :)
12⁴x 9³ x 4
6³ x 8² x 27
Answer:
12⁴ × 9³ x 4 = 60,466,176
6³ × 8² × 27 = 373,248
Step-by-step explanation:
You could use the expanded form to calculate the answer
12⁴ = 20,736
9³ = 729
4 = 4
20,736 × 729 × 4 = 60,466,176
6³ x 8² x 27
6³ = 216
8² = 64
27 = 27
216 × 64 × 27 = 373,248
WILL MARK BRAINLIST!!!!
DBA Study Guide –
2.01 ESSENTIAL QUESTIONS
• What are the Transformations and how do they move?
• How can you tell the difference between the preimage and the transformed image by looking at the figures on a graph?
•
• 2.03 ESSENTIAL QUESTIONS
• What are the names of the Theorems that we use to prove triangles congruent?
• What does it mean for two shapes to be congruent?
2.04 ESSENTIAL QUESTIONS
How do you prove each of the following theorems using either a two-column, paragraph, or flow chart proof:
• Isosceles Triangle Theorem
2.06 ESSENTIAL QUESTIONS
• What are the characteristics of squares, rhombi, kites, and trapezoids?
Answer: These are some of the questions not all of them
There are four types of transformations: reflection, rotation, translation and enlargement. Translation (also known as Slide) moves a shape by sliding it up, down, sideways or diagonally, without turning it or making it bigger or smaller. Reflection (also known as Flip) in a line produces a mirror image in which corresponding points on the original shape and the mirror image are always the same distance from the mirror line. Rotation (also known as Turn) turns a shape through a clockwise or anti-clockwise angle about a fixed point known as the Centre of Rotation. All lines in the shape rotate through the same angle. Rotation, (just like reflection) changes the orientation and position of the shape, but everything else stays the same. Enlargement (also known as Dilation) is a transformation. However, it is different from reflection, rotation and translation because it changes the size of an object. Transformations which leave the dimensions of the object and its image unchanged are called isometric transformations. Examples of isometrics are reflection, rotation and translation. Transformations which do alter the dimension of the object when they act on them are called non-isometric transformation Examples are the enlargement. The image of a transformation is the shape after the transformation. The preimage of a transformation is the shape before the transformation. If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent. n geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
According to the diagram, which statement is NOT true?
Real Numbers
Irrational Numbers
Rational Numbers
Integers
Whole Numbers
Counting
Numbers
А
All counting numbers are also rational numbers.
All whole numbers are integers.
B
C All rational numbers are real numbers.
D
AB rational numbers are integers
Answer:
all rational numbers are intergers
Step-by-step explanation:
write the sentence as an equation.241is the same as 364 fewer than f
Answer:
241 = f - 364
Step-by-step explanation:
Eric is trying to save $37 to buy a gift for his mother. Right now he has $5. He can save $10 a week from mowing lawns and $5 a week from his allowance. What is the least number of weeks that Eric will need to save to have enough money for the gift?
Answer:
3 weeks. 5+10=15
because in 2 weeks he will have 30 dollars plus the 5 dollars he already has is 35 dollars but, that is not enough he needs one more week.
1 quart to 1 gallon
4 quarts equal 1 gallon. 1 quart to 1 gallon is 0.25 of a gallon.
a point is ____
•imaginary
•real
Answer:
a point Is an imaginary line
Answer:
imaginary
Step-by-step explanation:
asking questions is super in this education life
Help me solve this problem please please
Answer: D. x > -1
Step-by-step explanation:
need answer asap Whole numbers: ___ + ___ + ___ = _____ cups of soup mix.
Answer:
1+2+3=6 lol jk i dont have the numbers that they gave you
Step-by-step explanation:
A toy company manufactures sealed cubes that contain a colored liquid that glows in the dark. The liquid completely fills the cubes. If 8 cubic blocks with a side length of m are needed to find the volume of each cube, how much of the liquid can each cube hold?
Answer:
[tex]Volume = 8m^3[/tex]
Step-by-step explanation:
Given
[tex]Cubes = 8[/tex]
[tex]Length = m[/tex] for each
Required
Determine how much all cubes can hold
First, we need to determine the volume of each.
[tex]Volume = m * m * m[/tex]
[tex]Volume = m^3[/tex]
For the 8 cubes, we have:
[tex]Volume = 8 * Volume\ of\ 1[/tex]
[tex]Volume = 8 * m^3[/tex]
[tex]Volume = 8m^3[/tex]
y varies directly as x. if x = 10 when y = 40, find x when y = 200.
Answer:
x = 50
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition
x = 10 when y = 40, then
40 = 10k ( divide both sides by 4 )
4 = k
y = 4x ← equation of variation
When y = 200, then
200 = 4x ( divide both sides by 4 )
50 = x
If the pth term of an A.P. is q and the qth term is p. Prove that its nth term is (p+q-n).
pth term of an AP = q
qth term = p
Prove:nth term of A.P. is (p+q-n).
Proof:We know that,
nth term of an AP (an) = a + (n - 1)d
Hence,
⟹ a + (p - 1)d = q
⟹ a + pd - d = q
⟹ a = q - pd + d -- equation (1)
Similarly,
⟹ a + (q - 1)d = p
Substitute the value of a from equation (1).
⟹ q - pd + d + qd - d = p
⟹ qd - pd = p - q
⟹ - d(p - q) = p - q
⟹ - d = 1
⟹ d = - 1
Substitute the value of d in equation (1).
⟹ a = q - p( - 1) + ( - 1)
⟹ a = q + p - 1
Now,
an = q + p - 1 + (n - 1)( - 1)
⟹ an = q + p - 1 - n + 1
⟹ an = p + q - n
Hence, Proved.
I hope it will help you.
Regards.
Step-by-step explanation:
ANSWER
pth term = q
a+(p−1)d=q
qth term = p
a+(q−1)d=p
Solving these equations, we get,
d=−1
a=(p+q−1)
Thus,
nth term = a+(n−1)d=(p+q−1)+(n−1)×(−1)=(p+q−n)
What is the growth of the rule y=3x+5 ?
Need a number answer
How do I solve for x, y, and z? Please help ASAP.
Answer:
x = 60 degrees, y = 120 degrees, z = 30 degrees
Step-by-step explanation:
To solve this problem, we must first recognize that the triangle on the left is an equilateral triangle. This means that all of its side lengths are equal, which in turn means that all of its angles have the same measure. Since we know the sum of the interior angles of a triangle must be 180, we can write and solve the following:
x + x + x = 180
3x = 180
x = 60 degrees
Next, we should notice that one of the 60 degree angles is supplementary with angle y, which means that their sum should equal 180 degrees. This lets us write the following equation:
y + 60 = 180
When we subtract 60 from both sides to solve, we get:
y = 120 degrees
Finally, we should notice that the triangle on the right is isosceles. This means that two of the side lengths (and thus two of the angles) are equal. This means that the unmarked angle must also measure z degrees since the side lengths corresponding to these two side lengths are equal. From this information we can write the following equation:
y + z + z = 180
If we substitute the value for y and solve, we get:
120 + 2z = 180
2z = 60
z = 30 degrees
Therefore, the correct answer is x = 60 degrees, y = 120 degrees, and z = 30 degrees.
Hope this helps!
Given g(x)=-x-1, find g(-4)
Answer:
g(-4)=3
Step-by-step explanation:
g(x)=-x-1
g(-4)=-(-4)-1
g(-4)=4-1
g(-4)=3
Answer:3
Step-by-step explanation: