How many invitations should Tyler make each day to finish his goal within a week?
Tyler needs to make 8 invitations each day to finish his goal.
Retrieving the data from other sources:
Since Tyler wants to beat his goal, in a week (7 days) with x invitations.
7x+66=122
7x+66 -66=122 -66
7x= 56
x=8
So Tyler needs to make 8 invitations each day to finish his goal.
A candy company has fixed costs (costs that it must pay regardless of how much candy they
make) of $500 per day, and it costs them an additional $3 to manufacture each box of candy.
They can sell their candy for $3 a box. If we jet x represent the boxes of candy sold, the number of
boxes they need to sell to break even can be found by solving the equation 3x + 500 = 3x. How
many boxes of candy to they need to sell to break even?
You can never achieve break even by selling any number of boxes of candy if it costs them an additional $3 to manufacture each box of candy.
What is Break even point?In economics, business, and particularly cost accounting, the break-even point is the point at which total cost and total income are equal, or "even."
Although these opportunity costs have been paid and then capital has received the risk-adjusted, projected return, there is no net loss or gain, and one has "broken even."
Fixed cost (in manufacturing) = $500
Manufacturing cost of each candy = $3
and selling price of candy = $3
let x be a box of candy sold,
hence for no of box to be sold for a break even,
3x + 500 = 3x
but if you see above equation, that has no solution
Hence by providing each candy at $3 with $500 fixed cost and selling cost again at $3 you cannot achieve a break-even point.
hence there is no solution, and you will never be able to achieve break even.
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If triangles ABC and DEF are similar, what is y? Show your work.
The value of y is 18
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.
Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.
Therefore;
14/21 = 12/y
14y = 21 × 12
14y = 252
divide both sides by 14
y = 252/14
y = 18
Therefore the value of y is 18.
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5 A circle has a radius of 12 in. Find an exact value for each measurement. (Hint: Use arc length formula to find angle)
a) an arc length with a central angle of 90°:
b) the area of a sector with a central angle of 90°:
Answer:
\((a)\ L = 18.84\) --- arc length
\((b)\ A = 113.04\) --- sector area
Step-by-step explanation:
Given
\(r = 12\)
\(\theta = 90\)
Solving (a): The arc length
This is calculated using:
\(L = \frac{\theta}{360} * 2\pi r\)
So, we have:
\(L = \frac{90}{360} * 2* 3.14 * 12\)
\(L = 0.25* 2* 3.14 * 12\)
\(L = 18.84\)
Solving (b): The sector area
This is calculated using:
\(A = \frac{\theta}{360} * \pi r^2\)
So, we have:
\(A = \frac{90}{360} * 3.14 * 12^2\)
\(A = 0.25 * 3.14 * 12^2\)
\(A = 113.04\)
The tables of ordered pairs represent some points on the graphs of two lines. What is the solution to the system of equations represented by the two lines? There are no zeroes on the chart. What do I do
To find the solution to the system of equations represented by the two lines based on the given tables of ordered pairs, you can follow these steps:
Examine the tables and identify a pattern or relationship between the x-values and y-values for each line.Determine the slope (rate of change) of each line by calculating the difference in y-values divided by the difference in x-values for any two points on the line.Once you have the slopes, compare them to see if they are equal or different.If the slopes are different, the lines intersect at a single point, which represents the solution to the system of equations.If the slopes are equal, the lines are parallel, and there is no solution to the system of equations.If the slopes are different, you can find the intersection point by solving the system of equations using either substitution, elimination, or another suitable method.For such more question on equations
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What is -27/8×7/10
Because odbeoqhqbebebsns
The answer to this problem is going to be -2.3625
How to Turn a 31.31 repeating decimal into a fraction?
The fraction that represents the repeating decimal 31.31 is given as follows:
3100/99.
How to obtain the fraction?The repeating decimal for this problem is given as follows:
31.31.
The repeating part is given as follows:
.31.
Which has two digits, representing the number of 9's in the denominator, hence the denominator is of:
99.
The numerator is given by the number without the decimal subtracted by the integer representing the decimal, thus:
3131 - 31 = 3100.
Meaning that the fraction is given as follows:
3100/99.
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For the following event, state whether you think the difference between what occurred and what you would expect by chance is statistically significant. Explain.
An airline with a 95% on-time departure rate has 16 out of 300 flights with late departures.
The difference between the observed and expected number of late departures is statistically significant, we need to perform a binomial test by calculating the probability of observing 16 or more late departures out of 300 flights assuming the null hypothesis is true. If the resulting p-value is less than 0.05, we can conclude that the difference is statistically significant.
Based on the given information, an airline with a 95% on-time departure rate has 16 out of 300 flights with late departures. The question asks whether the difference between what occurred (16 late departures) and what you would expect by chance is statistically significant.
To determine if the difference is statistically significant, we need to conduct a hypothesis test. In this case, we can use a binomial test since we are dealing with two possible outcomes: on-time departure or late departure.
The null hypothesis (H0) assumes that the observed number of late departures is equal to what would be expected by chance. The alternative hypothesis (Ha) assumes that there is a significant difference between the observed and expected values.
In this case, the expected number of late departures can be calculated by multiplying the total number of flights (300) by the expected on-time departure rate (95%). This gives us an expected value of 300 * 0.05 = 15.
To perform the binomial test, we can calculate the probability of observing 16 or more late departures out of 300 flights, assuming the null hypothesis is true. This probability can be calculated using the binomial probability formula or by using statistical software.
If the resulting probability (also known as the p-value) is less than the significance level (usually 0.05), we can reject the null hypothesis and conclude that the difference between what occurred and what would be expected by chance is statistically significant. Otherwise, if the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the difference is not statistically significant.
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Find the area in square feet of a rectangle with a base of 3 feet and a height of 4 1/3 feet.
Answer:
13 ft^2
Step-by-step explanation:
Area = Base * Height
= 3 * (4+1/3)
=3*(13/3)
=13
What is y in the first line if the line passing though (-1,y) and (1,0) perpendicular to the line passing (8,4) and (-1,1) ?
Answer:
\(6\).
Step-by-step explanation:
A line that goes through \((x_{0},\, y_{0})\) and \((x_{1},\, y_{1})\) where \(x_{0} \ne x_{1}\) would have a slope of \(m = (x_{1} - x_{0}) / (y_{1} - y_{0})\).
The slope of the line that goes through \((8,\, 4)\) and \((-1,\, 1)\) would thus be:
\(\begin{aligned}m_{2} &= \frac{1 - 4}{(-1) - 8} \\ &= \frac{(-3)}{(-9)} \\ &= \frac{1}{3}\end{aligned}\).
Two lines in a cartesian plane are perpendicular to one another if and only if the product of their slopes is \((-1)\).
Thus, if \(m_{1}\) and \(m_{2}\) denote the slope of the first and second lines in this question, \(m_{1}\, m_{2} = (-1)\) since the two lines are perpendicular to one another. Since \(m_{2} = (1/3)\), the slope of the first line would be:
\(\begin{aligned} m_{1} &= \frac{(-1)}{m_{2}} \\ &= \frac{(-1)}{(1/3)} \\ &= (-3)\end{aligned}\).
Given that the first line goes through the point \((1,\, 0)\), the point-slope equation of that line would be:
\((y - 0) = (-3)\, (x - 1)\).
\(y = -3\, x + 3\).
Substitute in \(x = (-1)\) to find the \(y\)-coordinate of the point in question:
\(y = -3\times (-1) + 3 = 6\).
On a number line, P has coordinate-35 and Q has coordinate 21. Find PQ
Answer:
42
Step-by-step explanation:
because its 42
Is -3/
4 is greater than or less than -.75
Neither. It’s equal.
Answer:
they are the same 3 over 4 is .75
Step-by-step explanation:
Please hurry What is the measure of LABD? a:51° b:39° c:49° d: 141°
Answer: Angle ABD is 39°
Step-by-step explanation:
Angle CBA is 90° (given by "box" on the corner of the right triangle)
Angle CBD is given as 51°
Subtract:
90° - 51° = 39°
Record Examination) are normally distributed with a mean of 555 and a standard
deviation of 110. Use the 68-95-99.7 Rule to find the percentage of people taking the test who score below 335.
The percentage of people taking the test who score below 335 is
Answer:
2.5%
Step-by-step explanation:
You want the percentage below 335 if the distribution is normal with a mean of 555 and a standard deviation of 110, using the empirical rule.
Z scoreThe z-score of 335 is ...
Z = (X -µ)/σ
Z = (335 -555)/110 = -220/110 = -2
DistributionThe empirical rule tells you that 95% of the distribution is between Z = -2 and Z = 2. That is, 5% of the distribution is evenly split between the tails Z < -2 and Z > 2. Half that value is in each tail.
P(X < 335) = 5%/2 = 2.5%
The percentage of people taking the test who score below 335 is 2.5%.
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A parallelogram has a length of 4 inches and a width of 9 inches. What is the perimeter?
Answer:
26 inches
Step-by-step explanation:
The parallelogram as 4 sides with are parallel with the opposite side, which also means that they will be the same length.
so if the length is 4 and the width is 9 would would have to add 4+4+9+9 and that would get you 26
Find the value of x.
Answer:
x = 26
Step-by-step explanation:
If angle a and b are congruent, then set 68 and 4x + 8 together to equal to 180 on the right side. Combine 68 and 8 together to get 76. Then, subtract 76 on both sides to get 104 on the right side. Divide that number by 4 to get your x-value which is 26.
During halftime of a football game, a sling shot launches T-shirts at the crowd A T-shirt is launched from a height of 6 feet with an initial upward velocity of 72 feet per second Use the
equation h(t) = -16 +72t+6, where t is time in seconds and h(t) is height. How long will it take the T-shirt to reach its maximum height? What is the maximum height?
Answer:
Hope this helps ;)
Step-by-step explanation:
To find the time it takes the T-shirt to reach its maximum height, we need to find the value of t when the velocity of the T-shirt is zero, because at this point the T-shirt has reached its maximum height and starts falling back down. We can find the velocity of the T-shirt by taking the derivative of the height equation with respect to time:
v(t) = h'(t) = 72
The velocity of the T-shirt is a constant 72 feet per second, so it will never reach a velocity of zero and will never reach its maximum height. The T-shirt will keep going up indefinitely.
If the problem had specified that the T-shirt was launched with an initial upward velocity of -72 feet per second (meaning it was launched downward), then we could have found the time it takes the T-shirt to reach its maximum height by setting v(t) = 0 and solving for t. In this case, we would find that t = 1, so it would take the T-shirt 1 second to reach its maximum height. The maximum height would be h(1) = -16 + 72(1) + 6 = 62 feet.
You need to buy a solar cover for your 36-foot by18-foot rectangular pool. A pool company advertises that solar covers are on sale for $1.77 per square foot. Determine the cost of the pool cover before tax.
Answer:
$1146.96 per square foot
Step-by-step explanation:
find area needed to be covered (l x w)
36 x 18 = 648
find cost
648 x 1.77 = $1146.96 per square foot
Help Please!!! And can you explain how you got the answer?
Answer:
x=25
y= 64.5
Step-by-step explanation:
When lines are parallel, 2x=2(the number)
But, 2 isn't an angle. However, 50degrees is congruent to 2 since they are verticle angles.
2x=50
x=25
When lines are parallel, 2y+1=1(the number)
But, 1 doesn't have a verticle angle. However, 180-50 would be equal to 1
180-50=2y+1
130=2y+1
129=2y
y= 64.5
8÷2(2+2) is 16 right or is it 1
the answers 16 if you need an explanation then ill comment one.....!
Answer:
16
Step-by-step explanation:
8 :2 ×(2 +2) =
4 ×4 =
16
HELP ME WITH THIS QUICK
Answer:
A = (1/2)(5.5)(8.5 + 12.5) = 57.75 m^2
by substituting the given values for x calculate the y value for the following equation y=x+2
Use the Distributive Property to expand the expression -(u-v)
Answer:
(U+V) is the answer to the solution
A square garden has a length of (x+3) ft and a width of (x+2) ft. what is the perimeter and area of the garden?
Answer:
Perimeter:\(4x+10\) feet
Area:\(x^{2}+5x+6\) feet
Step-by-step explanation:
The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=\(x^{2}+2x+3x+6=x^{2}+5x+6\)
HELPPPP
how many groups of 1 1/2 are there in 9 1/2
a: 6
b: 6 1/3
c: 7
d: 7 1/3
Answer:
B. 6 1/3
Step-by-step explanation:
Can you please help me answer these math questions. These are domain questions.
The domain of each function is given as follows:
11. All real values except x = -2 and x = 4.
12. All real values except x = -1 and x = 1.
13. All real values except x = -2.
What is the domain of a function?The domain of a function is the set that contains all the possible input values for the function.
The functions in this problem are rational functions, meaning that all the values of x that make the denominator zero are excluded from the domain.
Then the excluded values are obtained as follows:
11. x² - 4 = 0 -> x = -2 and x = 2.
12. x² - 1 = 0 -> x = -1 and x = 1.
13. x + 2 = 0 -> x = -2.
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Classroom A has a capacity of 50 students and is 70% occupied. Classroom B is 25% occupied. The ratio of the occupancy of Classroom A to Classroom
B is 5:3. How many students can fit in Classroom B?
Answer: Classroom B is 25% occupied. The ratio of the occupancy of Classroom A to Classroom B is 5:3. How many students can fit in Classroom B? 84 students.
Step-by-step explanation:
Joe is asked to prove that the sum of the interior angles (, , and ) of the triangle he has drawn equals 180°. His triangle is represented in the diagram above, and his work is shown below.
The angles <1, <2, and <3 will not add up to 180 degrees. The angles <1 and <2 are alternate interior angles, and the angles <2 and <3 are also alternate interior angles, AB is parallel to CD.
What is angle sum property of triangle?The angle sum property of a triangle states that the sum of the interior angles of a triangle is always equal to 180 degrees. This means that if you measure the angles inside any triangle and add them up, the result will always be 180 degrees. This property holds true for all types of triangles, whether they are equilateral, isosceles, or scalene.
To understand this property, consider a triangle ABC with interior angles angle A, angle B, and angle C. If we draw a line segment from vertex A to a point D on side BC such that it is parallel to the side AB, then we can see that angle A and angle C are alternate interior angles of the parallel lines AB and CD. Similarly, angle B and angle C are alternate interior angles of the parallel lines BC and AD.
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The table below shows the amount Amelia earned babysitting. Find the rate of change
Answer:
1 : 8
Step-by-step explanation:
Answer:
$8 per hour
Step-by-step explanation:
First you have to do 16/2 or 32/4 to get your answer which is 8
Hope this helps!
Math question I don’t understand and need help for extra points, thank you
Answer:
y=2x-3 or B
Step-by-step explanation:
just shove into desmos graphing calculator