Answer:
630 people could ride the Ferris wheel in 6 hours.
Step-by-step explanation:
First, let's find the people-per-hour amount:
Since there are 3 "20 minutes" in an hour, we multiply the amount it can accommodate by 3 as well:
35 * 3 = 105
Next, since we have 6 hours, we multiply our people-per-hour by 6:
105 * 6 = 630 people in 6 hours, final answer.
the linear function y=15.95 represents the cost y (in dollars) of x tickets for a museum. Each customer can buy a maximum of four tickets. find the domain of the function. is the domain discrete or continuous? explain
Domain of the function is (1,4) and the domain is discrete.
What is linear function?
A linear function may be a operate that forms a line during a graph. it's usually a polynomial operate whose degree is utmost one or zero. though the linear functions also are delineate in terms of calculus also as algebra.
Main body:
According to the question :
y=15.95 x
where y = cost ,
x = number of tickets
Each customer can buy a maximum of four tickets.
Plot the ordered pairs. Because you cannot buy part of a ticket,
the graph consists of individual points.
domain of the function is (1,4).
Hence , the domain is discrete.
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An object measures 4 cm x 4 cm x 4 cm/
A. what is the surface area of the object?
B. what is the total surface area if you cut the object into two equal pieces/
Answer:
A. The surface area of a cube with side length 4 cm is 6 * (4 cm * 4 cm) = 96 square cm.
B. The total surface area of two pieces of the cube would be 2 * 96 square cm = 192 square cm. This is because cutting the cube into two equal pieces would double the total surface area of the pieces, but the surface area of each individual piece would remain the same.
On a team, 3 girls and 2 boys scored a total of 43 points. The difference between the number of points scored by the 3 girls and the number of points scored by the 2 boys is 11 . Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy.
Answer:
each girl scored 1 point and each boy scored 20 points.
Step-by-step explanation:
Let $g$ be the number of points scored by each girl and $b$ be the number of points scored by each boy. We can set up the following system of equations:
$$3g + 2b = 43$$
$$3g - 2b = 11$$
We can solve this system of equations using substitution. From the first equation, we have that $3g = 43 - 2b$. Substituting this expression for $3g$ into the second equation gives:
$$3(43 - 2b) - 2b = 11$$
Solving for $b$, we get:
$$129 - 6b = 11$$
$$6b = 118$$
$$b = 19.5$$
Since $b$ must be a positive integer, the only possible value for $b$ is $20$. Substituting this value into the first equation, we get:
$$3g + 2(20) = 43$$
Solving for $g$, we get:
$$3g = 3$$
$$g = 1$$
Therefore, each girl scored $1$ point and each boy scored $20$ points.
Find the following parts of the given numbers. 3/4 of 56
The value of the fraction 3/4 of 56 is 42.
How to calculate the fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.
The value of the fraction will be:
= 3/4 × 56
= 3 × 14
= 42
The value is 42.
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A sample of size 35 is drawn. The sample average is ~ = 18.4. The sample standard
deviation s = 4.5. Find a 95% confidence interval for the mean u.
95% confidence interval of mean is between (16.91, 19.89)
What is mean and standard deviation ?the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean
Data dispersion in regard to the mean is quantified by a standard deviation, or. Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high.
Given the sample size of 35, the mean x value is 18-4.
Standard deviation S=4.5
C = 95%
a = 1 - c = 0.05
From standard deviation from z table[tex]z_{0.05}[/tex] is 1.96 we know formula for confidence interval is
mean x +- [tex]z_{\alpha /2}[/tex] - σ/[tex]\sqrt{n}[/tex]
x +- [tex]z_{\alpha /2}[/tex] - σ/[tex]\sqrt{n}[/tex] αμαx ‾ - [tex]z_{\alpha /2}[/tex] - σ/[tex]\sqrt{n}[/tex]
lower limit = 18.4 - 1.96 * 4.5 /[tex]\sqrt{35}[/tex]
18.4 - 1.5
16.91
upper limit = 18.4 + 1.96 * 4.5 /[tex]\sqrt{35}[/tex]
19.89
95% confidence interval of mean is between (16.91, 19.89)
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Graph the polygon with the given vertices and its image after a dilation with scale factor k.
W(8,2), X(6, 0), Y( – 6, 4). Z(2, 2); k= -0.5
Select the correct choices to complete the sentence. Find the Error A student was finding the ordered pair for point Y(1.5,−2) after its reflection across the x-axis. Y(1.5,−2) →Y'(−1.5,−2) Complete the following statement explaining the mistake this student made and how to correct it. This student wrote the ordered pair for a reflection across the , 1 of 3. Select Choice , not the , 2 of 3. Select Choice . The correct ordered pair for point Y' is , 3 of 3. Select Choice
The reflection across the x-axis of Y(1.5, -2) is Y'(1.5, 2). Y(1.5,−2) →Y'(−1.5,−2) represents reflection across the y-axis.
What is an ordered pair?
An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence. In order to understand a point visually, it can be helpful to position it on the Cartesian plane. An ordered pair's numerical values may be fractions or integers.
The rule of reflection over the x -axis is A(x,y) → A'(x,-y)
The rule of reflection over the y -axis is A(x,y) → A'(-x,y).
A student finds that the reflection across the x-axis of Y(1.5,−2) is Y'(−1.5,−2).
Student follows the rule of reflection over the y -axis is A(x,y) → A'(-x,y).
Therefore students do mistake to consider a wrong formula.
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Find the zeros of the function.
State the multiplicity of multiple zeros.
y = 7x³ - 7x
Answer:
The zeros of the function are x = -3, x = 1, x = 3. The multiplicity of the zero x = 3 is 3.
Step-by-step explanation:
Answer:
0, 1, -1
Step-by-step explanation:
7x³ - 7x = 0
=> x(7x² - 7) = 0
=> 7x(x² - 1) = 0
=> x(x² - 1) = 0
=> x(x+1)(x-1) =0
=> x = 0 or x = -1 or x = 1
Write the number in decimal form.
3.39 x 1012
Answer:
3,390,000,000,000
Sally has 2 cats and each cat eats 1/4 of a tin of cat food each day.
Sally buys 7 tins of cat food.
For how many days will the cat food feed her 2 cats?
You must show your working.
days=?
Answer:
33
Step-by-step explanation:
One angle measures 24°, and another angle measures (7d-4)°. If the angles are complementary what is the value of d?
d=80
d=17
d = 10
d=3
Based on the definition of complementary angles, the value of d is: 10.
What are Complementary Angles?Complementary angles can be described as two angles that have a sum of 90 degrees when added together.
Given that the two angles, 24° and (7d - 4)°, are complementary angles, it implies that their sum will give a measure of 90°. Therefore, to find the value of d, the following equation would be created based on the definition of complementary angles:
24 + (7d - 4) = 90
Open the parentheses:
24 + 7d - 4 = 90
Combine like terms:
7d + 20 = 90
Subtract 20 from both sides
7d + 20 - 20 = 90 - 20
7d = 70
Divide both sides by 7
7d/7 = 70/7
d = 10
The value of d is: 10.
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what is the length of AB.
Answer: the answer should be 6 units let me know if thats an option
170% of what number is 31
Answer:
Step-by-step explanation:
18
You buy a watch that is $60. There is a 6% sales tax and a 15% discount. How much is the watch now?
Answer:
$54.06
Step-by-step explanation:
$60x0.85=51
51x1.06=$54.06
Items Interim: Math Grade 7 (9 out of 34) Daniel (SSID: IN-6865-503316539) CS-ACAE-3
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A store sells a shirt that is discounted by 10%. A coupon is used for an additional 10% off the
discounted price.
What is the total percentage discount on the shirt?
Answer: B
Step-by-step explanation:
A garden table and a bench coat $788 combined. The garden table cost $62 less than the bench. What is the cost of the bench?
Answer:
Step-by-step explanation:
Let T represent table and B represent bench. The garden table costs $62 less than the bench. T = B - 62. plug T = B - 62 into T + B = 788. B - 61 + B = 788. This gives us 425. B = 425.
5. Case # 5. Word Problem.
y
Amir spent a total of $53.75 on breakfast sandwiches and bagels for his
friends who are visiting from out of town. Each breakfast sandwich costs
$4.25, and each bagel costs $2.00. He bought 5 more bagels than
breakfast sandwiches.
a. Write a system of equations that could be used to solve for
the number of breakfast sandwiches and bagels he bought.
b. Solve the system to determine how many breakfast sandwiches and bagels Amir bought.
The system of equations is 4.25x + 2y = 53.75, y = x + 5, and the number of bangles and breakfast sandwiches Amir bought is 12 and 7 respectively.
What is the equation?A formula known as an equation uses the equals sign to denote the equality of two expressions.
Given:
Amir spent a total of $53.75 on breakfast sandwiches and bagels
Each breakfast sandwich costs $4.25, and each bagel costs $2.00
Calculate the equation as shown below,
4.25x + 2y = 53.75
Here, y = number of bangles and x = number of sandwiches,
y = x + 5
Solve the equation to get the values,
x = 7 and y = 7 + 5 = 12
Therefore, the system of equations is 4.25x + 2y = 53.75, y = x + 5, and the number of bangles and breakfast sandwiches Amir bought is 12 and 7 respectively.
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Preciso de ajuda nesta questão, não consegui resolver ela em 1 hora, agradeço a atenção desde já!
Answer:uno<x
Step-by-step explanation:
Solve for the other leg and for the hypotenuse of the 45-45-90 triangle
Answer:
4th answer option
Step-by-step explanation:
both side angles are 45°, that makes the triangle an isoceles triangle (both legs are equally long).
therefore, v = 7.
Pythagoras gives us
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90° angle), a and b being the legs.
in our case
u² = 7² + 7² = 49 × 2
u = sqrt(49 × 2) = 7 × sqrt(2)
What’s
: 2 1/7 + 3/7 (3x - 5) = -4
Please explain step by step to get picked brainliest!
The solution to the equation is x = -28/9.To solve the equation 2 1/7 + 3/7(3x - 5) = -4, let's break it down step by step.
Step 1: Convert the mixed number 2 1/7 to an improper fraction. Multiply the whole number (2) by the denominator (7), then add the numerator (1). This gives us (2 * 7 + 1) / 7 = 15/7.
Step 2: Distribute the 3/7 to the terms inside the parentheses. Multiply 3/7 by each term, which gives us (3/7) * 3x = 9x/7 and (3/7) * (-5) = -15/7.
Step 3: Substitute the converted mixed number and the distributed terms back into the equation. The equation becomes 15/7 + 9x/7 - 15/7 = -4.
Step 4: Combine like terms. Add the fractions with the same denominator: (15/7 - 15/7) + 9x/7 = -4. The fractions cancel each other out, leaving us with 9x/7 = -4.
Step 5: Isolate the variable. Multiply both sides of the equation by the reciprocal of 9/7, which is 7/9. This gives us (7/9)(9x/7) = (7/9)(-4). The 7/9 on the left side cancels out, leaving x = (-28/9).
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I rlly need help on this badly
3.
The value of x is 20.
The value of y is 30.
4.
The value of x is 30.
The value of y is 4.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
3,
The triangle is an equilateral triangle.
Value of all the angles = 60°
All sides are equal.
Now,
46 = 16 + y
y = 46 - 16
y = 30
Now,
The sum of the three angles of the triangle is 180 degrees.
80 + 60 + (60 - x) = 180
140 + 60 - x = 180
200 - 180 = x
x = 20
4.
There is an equilateral triangle.
5y = 20
y = 4
There is an isosceles triangle.
Where two sides are equal and the angle opposite to the equal sides are also equal.
This means,
(180 - 60) + x + x = 180
120 + 2x = 180
2x = 180 - 120
x = 60/2
x = 30
Thus,
3.
The value of x and y is 20 and 30.
4.
The value of x and y is 30 and 4.
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What is the GCF of 12, 30, and 18?
Answer:
6
Step-by-step explanation:
Answer: 6
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 18 are: 1, 2, 3, 6, 9, 18
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
Then the greatest common factor is 6.
Please look at the picture and answer the question, Thank you!
Inequality: x>12
Interval Notation: ( 12, ∞ )
50 POINTS ASAP!!!!!!!!!!!!!!!! 50 POINTS ASAP!!!!!50 POINTS ASAP!!!!!50 POINTS ASAP!!!!!!!!!!!!!!!! 50 POINTS ASAP!!!!!50 POINTS ASAP!!!!!
Answer:124
Step-by-step explanation:
Answer:124
Step-by-step explanation:
its right
A lot of points. PLEASE HELP! I will mark brainliest. Whoever gets it right first.
A math teacher built a scale model of his classroom to ensure his students s were equal distance apart. The scale for the model is 2 inches represents 18 feet. What is the length of the classroom in feet if the scale model lenght is 3 inches
The length of the classroom in feet if the scale model length is 3 inches is 27 feet.
What is multiplication?
One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.
Given:
The scale for the model is 2 inches, which represents 18 feet,
The scale model length 1 inch = 18 \ 2 = 9 feet length
Thus, the length of the classroom having scale model length is 3 inches
in feet = 9 × 3 = 27 feet
Therefore, the length of the classroom in feet if the scale model length is 3 inches is 27 feet.
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HELP ASAP DUE SOON FIRST CORRECT ANSWER GETS BRAINLYEST ANSWER AND 50 pts
Allyson works as an editor for the local newspaper. What kind of education might
have been necessary for Allyson to attain this position?
high school diploma
associate degree in computer science
bachelor's degree in journalism
O master's degree in mathematics
Answer:
bachelor's degree in journalism
Step-by-step explanation:
Answer: bachelors degree in journalism
Step-by-step explanation:
Expression equivalent to 4(x-2)+4
Answer:4x-12
Step-by-step explanation:
Answer:
= 4x - 4
Step-by-step explanation:
4(x-2) + 4
= (4*x + 4*-2) + 4
= (4x - 8) +4
= 4x + 4 - 8
= 4x - 4
What is the slope? also make sure to show how you got that
Answer:
The slope is a value that describes the steepness and direction of a line
Step-by-step explanation:
I think ts either 2 or nagtive 2
Answer:
gradient (slope) = 2
Step-by-step explanation:
gradient (slope) = difference of y-coordinates / difference of x-coordinates = (y₂-y₁)/(x₂-x₁)
Pick two points, ex: (0,1) and (-2,0)
= (0-1)/((-2)-0)
= -1/-2
= 1/2
-1,8,11,-9,5,11 have a mode or is it unimodal bimodal or multimodal
Answer:
It has a mode of 11
Step-by-step explanation:
A mode is a # in a data set that occurs more then any other one