Seventy-five 6th- grade students chose to watch a movie on the last day of school. This is 25% of the 6th-grade class. How many total students are in the 6th grade?
4) During a school carnival, students from the middle school raised money by selling crafts, food, game tickets, and school play admissions. Of each dollar earned, $0.15 came from games. Craft sales earned 3 times as much as games. Food sales were 4 times the amount earned from the play.
Crafts-blank
Play-blank
Games-$0.15
Food-$0.32
If the total sales were $500, then:
How much was earned from the craft sales?
How much was earned from the play?
$225 was earned from the craft sales
and $40 was earned from the play.
Given, During a school carnival, students from the middle school raised money by selling crafts, food, game tickets, and school play admissions.
Of each dollar earned, $0.15 came from games. Craft sales earned 3 times as much as games. Food sales were 4 times the amount earned from the play.
Let the amount earned by play be x,
Now, Games earned = 0.15×500 = $75
Also, crafts earned 3×75 = $225
Now, as play earned x, then food earned 4x.
According to question,
x + 75 + 225 + 4x = 500
5x + 300 = 500
5x = 200
x = 40
So, the amount earned by Play be, $40
and the amount earned by Food be $160.
Hence, $225 was earned from the craft sales
and $40 was earned from the play.
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Drag numbers to fill in the table to organize the information in this problem.
The average daily iron intake for 12-year-olds is 15.1 milligrams. Fernando typically consumes 11.8 milligrams of iron in his breakfast cereal and 3.6 milligrams of iron from a protein bar. If he eats a bowl of cereal and two protein bars today, how many milligrams over the average daily intake for iron will Fernando's intake be?
Answer:
3.9 milligrams more than the normal or whatever it said
Step-by-step explanation:
you multiply 3.6 by 2 and you get 7.2 then you add 11.8 to that 7.2 which give you 19, then subtract 15.1 from 19 which would give you 3.9 milligrams
x + 4y = 9
-x - 2y = 3
Hope it helps :)
\(x + 4y = 9 \\
-x - 2y = 3 \\ eliminate \: one \: variable \: by \\ adding \: the \: equations \\ 2y = 12 \\ divide \: both \: sides \\ y = 6 \\ substitute \: the \: value \: of \: y \\ \: into \: equation \: ...2 \\ - x - 2(6) = 3 \\ solve \: the \: equation \\ - x - 12 = 3 \\ - x = 3 + 12 \\ - x = 15 \\ x = - 15 \\ SOLUTION \\ x = - 15 \\ y = 6 \\ Hope \: it \: helps :)\)
What are the potential solutions to the equation?
If this is the full question; What are the potential solutions to the equation below? 2In(x+3)=0
then the answer is; 2ln(x + 3) = 0
ln[(x + 3)²] = 0
(x + 3)² = 1
x + 3 = ±√1
x + 3 = ±1
x = 1 - 3, -1 - 3
x = -2, -1 - 3
x = -2, -4
when checking solution; x = -4 in the original equation does not hold true. so you drop x = -4 from the solution set.
therefore;
x = -2
hope this helps, God bless!
Answer:
c
Step-by-step explanation:
Irina ran 1/2 in 3 1/2 minutes. At that rate, how long would it take her to run 2 miles?
Answer:
Step-by-step explanation:
14 mins
this is because if we divide 2 but 1/2 you would get 4
since she can run 1/2 a mile in 3 1/2 mins
we should multiply the 3 1/2 buy 4
this would lead to the answer 14
NO LINKS!!! Part 1 Please help me with this similarity practice
Answer:
C' = (13, 4)
Dilation by a scale factor of 2 with the origin (0, 0) as the center of dilation, followed by a translation of 3 units right.
Step-by-step explanation:
Given vertices of triangle ABC:
A = (0, 0)B = (1, 4)C = (5, 2)If two triangles are said to be similar:
Their corresponding angles are congruent.Their corresponding sides are in the same ratio.To keep the corresponding angles of both triangles the same and maintain similarity, dilate triangle ABC.
If we compare the coordinates of B (1, 4) and B' (5, 8), the y-value has been multiplied by 2.
Therefore, the first step of the transformation is a dilation by a scale factor 2 with the origin (0, 0) as the center of dilation.
⇒ (1 × 2, 4 × 2) = (2, 8)
After multiplying the coordinates of B by two, the difference between the x-values of the dilated point and B' is 3, so the second step of the transformation is a translation of 3 units right.
Therefore, the series of transformations is:
Dilation by a scale factor of 2 with the origin (0, 0) as the center of dilation.Translation of 3 units right.Mapping Rule: (x, y) → (2x+3, 2y)
Therefore, the coordinates of point C' are:
⇒ C' = (2(5) + 3, 2(2)) = (13, 4)
Answer: (13, 4)
Infinitely many answers are possible.
====================================================
Explanation:
See this similar question
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because I'll be using the same steps and ideas. There are also diagrams that might help visualize what's going on.
---------
The translation vector from B(1,4) to C(5,2) is <4,-2> since we move to the right 4 units, and down 2 units. It's the shorthand way of writing \((x,y) \to (x+4,y-2)\)
Double the coordinates of the translation vector <4,-2> to get <8,-4>
If we started at point B'(5,8) and followed the pathway "right 8, down 4" then we arrive at C'(13,4) as one possible answer.
We could express the steps like this
\((\text{x},\text{y})\to(\text{x}+8,\text{y}-4)\\\\(5,8)\to(5+8,8-4)\\\\(5,8)\to(13,4)\\\\\)
As I mentioned in the link above, there are infinitely many answers because we can change the scale factor to any nonnegative real number. For instance we could triple the coordinates of <4,-2> to get <12,-6> and follow the same outline of steps to get C'(17,2) as another possible answer.
Time card information for 13 workers is given in the chart below. Add to find eachperson's total hours. Then find the number of regular hours and the number ofovertime hours, if any. Remember that overtime hours are those hours worked over40 hours Monday through Saturday. The first one in each set is done for you.Overtime HoursRegular Time and DoubleTotal1- Hours Worked Each DayMonday(8) Tuesday(8) Wednesday (8) thursday(9) friday(8) Saturday (0) sunday(0)2- hours worked on each day Monday(10) Tuesday(8) Wednesday(9) Thursday(9) friday(9) saturday(6) sunday(5)3- hours worked on each day (The following 7 people worked on Monday July 4th they earned double time for this holiday.)4- hours worked on each dayMonday(10) Tuesday(8) Wednesday(8) thursday(8) friday(8) Saturday(0) sunday(0)
For each case we start by adding the total number of hours, then we count the number of hours worked from Monday to Saturday and check if it is a number over 40, if it is we subtract 40 hours from the total number of hours to get the number of overtime hours. Finally, we consider the number of doubled paid hours.
If 7 4/5 is added to 2 3/4 , what is the sum?
Answer: 9 7/20
Step-by-step explanation:
7 4/5 + 2 3/4
Multiply the Denominators = 20
Add Numerators = 7
Add Whole Numbers = 9
Answer 9 7/20
Suppose that the distribution of monthly revenues of a new startup business is not symmetric.
According to Chebyshev's Theorem, at least approximately what percentage of the revenues are within k=3.3 standard deviations of the mean?
According to Chebyshev's Theorem, approximately 91% of the revenues are within k = 3.3 standard deviations of the mean.
What is Chebyshev's Theorem?
The minimum percentage of observations that are within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem. Several other probability distributions can be applied to this theorem. Chebyshev's Inequality is another name for Chebyshev's Theorem. For a large class of probability distributions, Chebyshev's inequality ensures that no more than a specific percentage of values can deviate significantly from the mean.
According to Chebyshev's Theorem, at least 1 - 1/k² of the revenues lie within k standard deviations of the mean.
So when k = 3.3
1 - 1/k² = 1 - 1/3.3² = 1 - 0.0918 = 0.9082 = 90.82% ≈ 91%
Therefore according to Chebyshev's Theorem, approximately 91% of the revenues are within k = 3.3 standard deviations of the mean.
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5. 5(x + 10) + x
A. 6x + 15
B.5x + 15
C.6x + 50
D.4x – 50
Answer: C
Step-by-step explanation:
For the equation f(x)=1.9(0.41)*, state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x.
C=(Type an integer or a decimal.)
Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.
Given that,
The equation f(x)=1.9(0.41)ˣ.
We have to state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x.
We know that,
What is growth and decay?In order to translate their graphs over the 2D coordinate plane, I will offer the vertex form of an exponential equation for both the growth and decay functions.
In the case of growth, f(x) = a(1+r\()^{x-h}\)+k, where b = 1+r
Decay is defined as f(x)=a(1-r)(x-h\()^{x-h}\)+k, where b=1-r.
Consider the function f(x)=1.9(0.41)ˣ.
We write as
f(x)=1.9(1-0.59)ˣ
So, initial value C is 1.9
Decay factor =0.41
Growth factor = 0.59
Therefore, Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.
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Please see my question in the attachment, thanks!
The limit of the function As x → - ∞, f(x) → 2.
What is the limit of a function?The limit of a function is the value the function tends to as the independent variable tends to a given value.
Given the graph of the function above, to find the limit of the function As x → -∞, f(x) →? We proceed as follows
Looking at the graph, we see that f(x) has a horizontal asymptote at y = 2. Now, we see that As x → -∞, f(x) approaches 2.
So, As x → - ∞, f(x) → 2.
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Number of Members
A scout leader is going to pair a new member with one of the
existing 15 troop members.
5 of the boys love to go camping,
10 like to fish, 3 enjoy
archery, 12 like to go hiking, and one boy enjoys carving.
What is the probability the new boy will be paired with a boywho likes fishing?
{ (-2, 4), (0, 2), (-1, 3), (4, -2)}
The set of ordered pairs above:
DONE
Domain
-3
4
-1
5
Range
3
7
-2
The mapping diagram above:
DONE
y=x²
DONE
x
-3
-1
y
5
2
-1
The table above:
DONE ✔
The set of ordered pairs above: is a function.
The mapping diagram above: is a function.
y = x²: is a function.
The table above: is not a function.
What is a function?In Mathematics and Geometry, a function is a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.
Based on the set of ordered pairs, mapping diagram, and the equation above, we can reasonably infer and logically deduce that it represent a function because the input values (domain, x-value, or independent values) are uniquely mapped to the output values (range, y-value or dependent values).
In this context, we can reasonably infer and logically deduce that the table does not represent a function because the input value (-1) has more than output values (2 and 4 respectively).
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There are 6 acts in a talent show.
An acrobat, a dancer, a guitarist, a singer, a violinist, and a whistler.
A talent show host randomly schedules the 6 acts.
Compute the probability of each of the following events.
Event A: The acrobat is first, the singer is second, the violinist is third, and the whistler is fourth.
Event B: The first four acts are the whistler, the acrobat, the guitarist, and the dancer, In any order.
Write your answers as fractions in simplest form.
P(A) =
P (B) =
The probability of Event A is 1/360 and the probability of Event B is 1/15.
For Event A, we can calculate the probability by considering the order in which the acts are scheduled.
There are 6 acts, so there are 6 possible choices for the first act. After the first act is scheduled, there are 5 remaining acts, so there are 5 possible choices for the second act.
Similarly, there are 4 possible choices for the third act, and 3 possible choices for the fourth act.
Finally, there are 2 possible choices for the fifth act, and only 1 choice remains for the last act.
Therefore, the total number of possible ways to schedule all 6 acts is:
6 x 5 x 4 x 3 x 2 x 1 = 720
Since we are only interested in one specific order of the first four acts, we need to count the number of ways to schedule the remaining two acts after the first four have been scheduled in the desired order.
There are 2 remaining acts, so there are 2 possible choices for the fifth act.
Only one act remains for the last slot.
Therefore, the total number of ways to schedule all 6 acts such that the acrobat is first, the singer is second, the violinist is third, and the whistler is fourth is:
1 x 1 x 1 x 1 x 2 x 1 = 2
Thus, the probability of Event A is:
P(A) = 2/720 = 1/360
For Event B, we want to count the number of ways to schedule the first four acts as the whistler, the acrobat, the guitarist, and the dancer, in any order.
There are 4 acts, so there are 4 possible choices for the first act. After the first act is scheduled, there are 3 remaining acts, so there are 3 possible choices for the second act.
Similarly, there are 2 possible choices for the third act, and only one choice remains for the fourth act.
Therefore, the total number of possible ways to schedule the first four acts is:
4 x 3 x 2 x 1 = 24
Since we do not care about the order in which the last two acts are scheduled, we can simply choose any two acts from the remaining 2. There are 2 ways to do this.
Therefore, the total number of ways to schedule all 6 acts such that the first four acts are the whistler, the acrobat, the guitarist, and the dancer, in any order is:
24 x 2 = 48
Thus, the probability of Event B is:
P(B) = 48/720 = 1/15
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A wall has to be made around a rectangular garden. The garden's area is
18O square feet. If the garden is 12 feet wide, what is the length?
Answer:
15
Step-by-step explanation:
the answer is 15. 12×15=180
A farmer has 1,275 seeds. He plants them all in 15 equal rows. A crow comes and eats 5 seeds from each now. How many seeds are left in each row?
Answer:
17 seeds remain
The equation: \(\frac{1275}{15} / 5\)
\(\frac{1275}{15} = 85\)
\(85 / 5 = 17\)
A park has a triangular sandbox. Todd wants to create a smaller sandbox at his backyard having the same angles as the park sandbox.
What is the perimeter in feet of Todd’s sandbox?
Find the value of n for which the division of x^2n-1 by x+3 leave remainder of -80.
The value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.
To find the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80, we can use polynomial long division. Let's perform the division step by step:
Write the dividend and divisor in polynomial long division format:
_________________________
x + 3 │ x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ...
Divide the leading term of the dividend (x^(2n-1)) by the leading term of the divisor (x). The result is x^(2n-1)/x = x^(2n-2).
Multiply the divisor (x + 3) by the quotient obtained in the previous step (x^(2n-2)). The result is x^(2n-2) * (x + 3) = x^(2n-1) + 3x^(2n-2).
Subtract the result obtained in step 3 from the original dividend:
x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ... - (x^(2n-1) + 3x^(2n-2)) = -3x^(2n-2) + 0x^(2n-3) + ...
Bring down the next term of the dividend (which is 0x^(2n-3)) and repeat steps 2-4 until the remainder is constant.
Since we are given that the remainder is -80, we can set the remainder equal to -80 and solve for 'n'.
-3x^(2n-2) + 0x^(2n-3) + ... = -80
Since the remainder is constant (-80), it means that all the terms with x have been canceled out in the division process. Therefore, we can deduce that the highest power of x in the divisor (x + 3) is 0.
This implies that x^(2n-2) = 0, and for any value of 'n', the exponent 2n-2 should be equal to zero. Solving this equation:
2n-2 = 0
2n = 2
n = 1
Therefore, the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.
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2
Let g(x) = x + 4x-7.
What is g(x) in graphing form?
(x + 2) - 7 = 4
O g(x) = (x + 2)²-7
Onone of the answer choices
x² + 4x-7=0
O g(x) = (x + 2)² - 11
The graphing form of the function g(x) is: C) none of the answer choices.
The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.
Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:
a = 1 (coefficient of x^2)
b = 4 (coefficient of x)
c = -7 (constant term)
Therefore, the graphing form of the function g(x) is:
C) none of the answer choices
None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.
In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.
The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C
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What is the volume of the following rectangular prism? 3 1/3 1 2/5
Area of rectangular prism: Base x Height.
so 3x1/3x2/5=0.4 0r 2/5
A toy store is is selling yo-yo's for $12. The price includes a 25% mark up from the wholesale price. What was the wholesale price?
15 because 25% = 0.25 then you multiply 12×0.25=15
Cory is building a model and needs 12 identical rods which are each 3/4 inch long. He wants to cut them all from the same rod. How long of a rod does he need?
Answer:
9 inches
Step-by-step explanation:
To find how long of a rod he needs, multiply the number of rods he needs by the length he wants them to be:
12(3/4)
= 9
So, Cory will need a rod that is 9 inches long
Answer:
9 inches
Step-by-step explanation:
What is the equation of the line that is perpendicular to
the given line and has an x-inter cept of 6?
O y = x + 8
O y = x + 6
O y = fx-8
O y=x-6
Answer:
the last one, y=x-6
Step-by-step explanation:
it is the only answer with an x-intercept of 6. you did not provide the line, but I'm assuming it is y=-x.
Calculate the product
20 (-15)
Answer:
Step-by-step explanation:
Product means multiply.
-300
Solve and graph the inequality 5x≤ 15.
Answer:
x ≤ 3
Step-by-step explanation:
To solve the inequality 5x ≤ 15, we need to isolate x on one side of the inequality. We can do this by dividing both sides of the inequality by 5:
5x/5 ≤ 15/5
x ≤ 3
So the solution to the inequality is x ≤ 3. This means that any value of x that is less than or equal to 3 will make the inequality true. To graph this inequality on a number line, we draw a closed circle at point 3 and shade the area to the left of the circle to represent all the possible values of x that satisfy the inequality:
<=======●----------------
3
The circle is closed to indicate that x can be equal to 3, and the shading indicates all the values of x that are less than or equal to 3.
Consider the angle shown below that has a radian measure of θ. A circle with a radius of 3.2 cm is centered at the angle's vertex, and the terminal point is shown.
The terminal point's horizontal distance to the right of the center of the circle is ______ times as large as the radius of the circle, and therefore:
cos(θ)=
The terminal point's vertical distance above the center of the circle is_____ times as large as the radius of the circle, and therefore:
sin(θ)=
The sine and cosine of an angle are the ratio of the opposite side and adjacent side of the reference angle to the hypotenuse side respectively
The completed statement is presented as follows;
The terminal point's horizontal distance to the right of the center of the circle is 0.921875 times as large as the radius of the circle, and therefore: cos(θ) = 0.921875
The terminal point's vertical distance above the center of the circle is 0.390625 times as large as the radius of the circle, and therefore, sin(θ) = 0.390625
Reason:
Known parameters are;
The radius of the circle, R = 3.2 cm
The terminal point's horizontal distance to the right of center of the circle, x = 2.95 cm
The number of times x is larger than R, nₓ is given as follows;
\(n_x = \dfrac{2.95}{3.2} = 0.921875\)
The number of times x is larger than R, nₓ = 0.921875Therefore;
\(cos(\theta) =\dfrac{x}{R} = 0.921875\)
cos(θ) = 0.921875The terminal point's vertical distance above the center of the circle, y = 1.25 cm
The number of times y is larger than R, \(n_y\), is given as follows;
\(n_y = \dfrac{1.25}{3.2} = 0.390625\)
The number of times y is larger than R, \(n_y\) = 0.390625
Therefore;
\(sin(\theta) =\dfrac{y}{R} = 0.390625\)
sin(θ) = 0.390625
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2. The prices of different burgers are shown on this sign.
Based on the information from the menu, is the price of a burger a function of the number of patties?
BURGER MENU
$3.49
Cheeseburger
1 patty, 1 cheese slice
$4.09
Just the Patties.
2 patties, no cheese
$4.59
Double Cheeseburger.
2 patties, 2 cheese slices
$6.79
Big Island
4 patties. 4 cheese sices
Served Anytime
Answer:
If this is what your question is, yes the price of the burger is a function of the number of patties.
Step-by-step explanation:
This is because, the number of patties is the independent variable and the price is the dependent variable. A function can be written as y = f(x), here x is the number of patties. The price of the burger is y. I had this question that is also why I know this is right.
I hope this helps and have a nice day..
There is no direct relationship between the price of the burger and the amount of patties in it.
To determine if the price of a burger is a function of the number of patties, the following calculations must be performed:
First, the price of each hamburger must be divided by the number of patties it has.
Just the patties: $ 4.09, 2 patties and no cheese. 4.09 / 2 = 2.045 per pattie. Cheeseburger: $ 3.49, 1 patty and 1 cheese slice. 3.49 - 2.045 = 1.445 per cheese slice. Double Cheeseburger: $ 4.59, 2 patties and 2 cheese slices. In this case, there is a reduction on the price from the cheeseburger, since if the values were the same, this burger should cost $ 6.98. Big Island: $ 6.79, 4 patties and 4 cheese slices. In this case, the same that for the Double Cheeseburger applies.
Thus, it can be seen that there is no direct relationship between the price of the hamburger and the amount of patties in it.
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What is the percent of decrease from 40 to 24?
Answer:
40% decrease
Step-by-step explanation:
Answer: coochie man
Step-by-step explanation: