Answer:
1.
y = 250x + 700
y = 250(15) + 700
y = 3750 + 700
y = $4450
2.
75 = 12x
75/12 = x
6.25 = x
6 1/4 days
Step-by-step explanation:
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What is the value of X?
Answer:
Step-by-step explanation:
x^2=4^2+4.7^2
x^2=38.09
x=√38.09
x=6.1717
x=6.2(nearest tenth)
Note that x=radios of the circle
A rectangular prism has a length of 6 meters, a height of 8 meters, and a width of 5
meters. What is its volume, in cubic meters?
Answer: V =
meters
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A rice store estimates that if it sells each pack of rice forxdollars, then the projected number of packssold daily is 240−10x. What is the price per pack that maximizes its daily profit?
Answer:
Price per pack = 12
Step-by-step explanation:
The profit can be calculated as the product of the price by the quantity sold:
P = x * (240-10x)
P = -10x^2 + 240x
To find the maximum of this quadratic function, we can use the formula to find the vertix:
x_v = -b/2a
Where a and b are coefficients of the quadratic equation (a = -10 and b = 240)
x_v = -240/(-20) = 12
Now, we use this value to find the maximum profit:
P_max = -10*(12)^2 + 240*12 = 1440
Look at the following numbers:
−3, −1, 0, 3
Which pair of numbers has a sum of 0? (5 points)
Group of answer choices
0, −1
−3, 3
−1, 3
−1, 0
Answer:
-3 and 3
Step-by-step explanation:
when -3 and and 3 are added it sums up to 0. For example, any number that's positive (ex. 5) and the same number with the opposite sign (ex. -5) are added it will always be 0.
Which are the center and radius of the circle with equation (x + 5)2 + (y − 4)2 = 9?
Answer:
The center of the circle is at: C=(−5,4).
The radius of the circle is r=3.
Step-by-step explanation:
The equation of the circle is (x + 5)² + (y − 4)² = 3². Then the center of the circle is at (−5, 4) and the radius of the circle is 3 units.
What is a circle?It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The equation of the circle is given as (x + 5)² + (y − 4)² = 9.
The equation can be written as
(x + 5)² + (y − 4)² = 3²
Then the center of the circle is at (−5, 4) and the radius of the circle is 3 units.
More about the circle link is given below.
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A rhombus with congruent sides is shown. Diagonals are drawn. The length of one diagonal is 6, and the length of the other diagonal is 8. The diagonals intersect to cut the lengths in half. What is the area of the rhombus? 12 square units 18 square units 24 square units 48 square units
Answer:
its 24
Step-by-step explanation:
i got it right on ed 2020
Answer:
The correct answer is C.) 24 square units
Step-by-step explanation:
(base x height)/2 → (6 x 4)/2 = 12
12 x 2 = 24
A tile installer plots an irregular shape on grid paper. Each square on the grid represents 1 square centimeter. What is the area of the irregular shape
Answer:
39cm to the 2nd aka 39cm^2
Step-by-step explanation:
The area of the irregular shape is 38 cm^3.
What is the area of the triangle?The area of the triangle is half times of base and height.
[tex]\rm Area \ of \triangle=\dfrac{1}{2} \times Base \times height[/tex]
A tile installer plots an irregular shape on grid paper.
Each square on the grid represents 1 square centimeter.
The area of the triangle is;
[tex]\rm Area \ of \triangle=\dfrac{1}{2} \times Base \times height\\\\Area \ of \triangle=\dfrac{1}{2} \times4 \times 4\\\\Area \ of \triangle=8[/tex]
The area of the rectangle is;
[tex]\rm Area \ of \ recatngle =length \times width\\\\ Area \ of \ recatngle =3 \times 5\\\\ Area \ of \ recatngle =15[/tex]
The area of the parallelogram is;
[tex]\rm Area \ of \ a \ parallelogram = base \times height\\\\ Area \ of \ a \ parallelogram =5\times 3\\\\ Area \ of \ a \ parallelogram =15[/tex]
The area of the irregular shape is;
= 8 + 15 + 15=38
Hence, the area of the irregular shape is 38 cm^3.
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(-3p^3+ 5p^2- 2p) +(-p^3- 8p^2 – 15p) =
Answer:
[tex]-4p^3-3p^2-17p[/tex]
Step-by-step explanation:
Combine like terms:
[tex]-3p^3+ 5p^2- 2p -p^3 - 8p^2-15p=-4p^3-3p^2-17p[/tex]
The (-3p³ + 5p² - 2p) +(-p³ - 8p² – 15p) can be simplified as -4p³ - 3p² - 17p
What are polynomials?Polynomials are expression that can have constant, variables and exponents.
Therefore,
(-3p³ + 5p² - 2p) + (-p³ - 8p² – 15p)
we have to use the positive value outside to open the bracket.
-3p³ + 5p² - 2p - p³ - 8p² - 15p
-3p³ - p³ + 5p² - 8p² - 2p - 15p
Hence,
-3p³ - p³ + 5p² - 8p² - 2p - 15p = -4p³ - 3p² - 17p
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can someone solve this for me?
Answer:
d 125
Step-by-step explanation:
Supplementary angles add to 180 degrees
Let x be the supplement to the 55 degree angle
55+ x =180
Subtract 55 from each side
55+x-55 =180-55
x = 125
The base of a rectangular prism is a square. The height of a prism is half the length of one edge of the base. The volume of rectangular prism is 13.5 cubic units. What are the dimensions of a prism?
Answer:
3 × 3 × 1.5
Step-by-step explanation:
Volume = base area × height
13.5 = s² × ½s
½s³ = 13.5
s³ = 27
s = 3
½s = 1.5
Dimensions:
3 × 3 × 1.5
The diameter, D, of a sphere is 8.4 mm. Calculate the sphere's volume, V.
Use the value 3.14 for a, and round your answer to the nearest tenth
Answer:
73.8 cubic mm.
Step-by-step explanation:
The volume of a square V is given by the formula:
[tex]V= \frac{4}{3}\pi r^{2}[/tex] where r is the radius of the sphere.
We also know that the diameter is two times the radius, so in this case if the diameter is 8.4 mm, then the radius is 4.2 mm.
Now we substitute the information in the formula, taking into account that we are going to use the value of 3.14 for [tex]\pi[/tex].
[tex]V= \frac{4}{3}\pi r^{2}\\ V= \frac{4}{3}(3.14)(4.2)^{2} \\V=\frac{(4)(3.14)(17.64)}{3} \\V=\frac{221.55}{3}=73.8528[/tex]
Which rounded to the nearest tenth is 73.8. Thus, the sphere's volume is 73.8 cubic mm.
Answer:
V = 310.2 mm³
Step-by-step explanation:
The formula for volume of a sphere is given as:
V = 4/3 * π * r³
where r is the radius of the sphere.
We are given the diameter in the question. Diameter is twice the radius. So, radius = diameter/2
radius = 8.4/2
radius = 4.2 mm
V = 4/3 * π * r³
= 4/3 * 3.14 * (4.2)³
V = 310.181
V = 310.2 mm³
Consider the quadratic function f(x)=83€ - 1x46,
What is the constant of the Function?
Answer:
83€ is the constant.
Order which number is the greatest?
−1925, −0.33, −0.680, −520
Answer:
-0.33 is the greatest
Step-by-step explanation:
Ron wants to buy a video game with a selling price of $48. It is on sale for 50% off. The sales tax in his state is 4.5%.
How much is the discount?
Answer:
50 1/6% (50 and one sixth) or $22.92
Step-by-step explanation:
Answer:
$25.92
Step-by-step explanation:
48÷2=24 (price after 50% off)
24×4.5=108
108÷100=1.08(% of tax per dollar)
1.08×24=25.92 (final price)
In scaling, the number by which you multiply is called the_________
Answer: Multiplicand.
An image of a rectangular pyramid is shown below:
A right rectangular pyramid is shown.
Part A: A cross section of the rectangular pyramid is cut with a plane parallel to the base. What is the name of the shape created by the cross section? Explain your answer.
Part B: If a cross section of the rectangular pyramid is cut perpendicular to the base, passing through the top vertex, what would be the shape of the resulting cross section? Explain your answer.
Answer:
b
Step-by-step explanation:
Answer:
The shape of the cross-section is a square. The plane is parallel to the base of the triangular pyramid and the base is a square.
Step-by-step explanation:
Donation Amounts (in dollars) A charity receives donations ranging from 5 to 35 dollars. The donation amounts from 10 different people were used to create the box plot shown above. Which of the sets of donation amounts below matches the given box plot? A. Donation Amounts: 5, 10, 15, 15, 15, 25, 25, 25, 30, 35 B. Donation Amounts: 5, 10, 15, 15, 15, 15, 25, 25, 35, 35 C. Donation Amounts: 5, 10, 15, 15, 15, 25, 25, 30, 35, 35 D. Donation Amounts: 5, 10, 10, 15, 15, 25, 25, 25, 35, 35
Without an actual box plot to reference, it's impossible to accurately determine which set of donation amounts correctly corresponds to the box plot in question.
Explanation:The question seeks to identify the set of donation amounts that matches a given box plot. When analyzing sets of donation amounts to determine which one aligns with a box plot, we look for key features such as the minimum, the maximum, the median, and the quartiles. These features divide the data set into four parts of equal importance, helping us understand the distribution of the data.
Given that there isn't an actual box plot provided, we would typically compare the given options against the features one would expect to find in a box plot:
Minimum and maximum values to set the range.Quartiles that split the data into four equal parts.Median as the middle value when the data is sorted.However, without the specific details of the box plot, such as the exact median or quartile values, we cannot accurately determine which set of donations matches the box plot. Typically, an analysis would involve calculating or identifying these characteristic numbers from each option and then seeing which one fits the description given by the box plot.
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Explain the steps in calculating the mean absolute deviation of a set of data.
Step-by-step explanation:
1. To find the mean absolute deviation of the data, start by finding the mean of the data set.
2. Find the sum of the data values, and divide the sum by the number of data values.
3. Find the absolute value of the difference between each data value and the mean: |data value – mean|.
4. Find the sum of the absolute values of the differences.
5. Divide the sum of the absolute values of the differences by the number of data values.
Answer:
Sample Answer: First, find the mean of the data set by averaging. Next, find the absolute deviations for each data point. That is, find the distance each point is from the mean. Then find the mean of the absolute deviations.
Which did you include in your explanation? Check all that apply.
Find the mean of the set of data.
Find the absolute deviations for each point.
Absolute deviation is a data point’s distance from the data set’s mean.
Find the mean of the absolute deviations.
A chest of drawers was originally priced at $100, but Sam waited to buy it until the chest of drawers was on sale for 80% off. If he paid 10% sales tax on the sale price, how much did he pay in total?
Answer:
$25
Step-by-step explanation:
Since it was originally $100, 80% off would mean he would only have to pay $20 for it. But sales tax, you would have to add 10% back of the sale price which was $20. so, 10% of 20 is $5. The sale price, $20, plus the $5 is 25 dollars he had to pay.
After waiting for a 80% off discount, Sam purchased the dresser for $20. Including a 10% sales tax, he paid a total of $22.
Explanation:In this problem, we first need to figure out what 80% off of the original $100 price is. This can be done by converting the 80% discount to a decimal (0.8) and then multiplying it by the original cost ($100). This gives us $80.
However, since this is the amount discounted, we subtract it from the original price to get the sale price of the chest of drawers, so $100 - $80 = $20. This is how much Sam paid before sales tax.
Next, we need to calculate the sales tax amount. We first convert the 10% sales tax to a decimal (0.10), and then we multiply it by the sale price ($20). This gives us $2 in sales tax.
Finally, we add the sales tax to the sale price to get the total amount Sam paid for the chest of drawers: $20 + $2 = $22. So, Sam paid a total of $22 for the chest of drawers.
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Approximate the sum of the first 17 terms to the
nearest tenth. Sum =
Answer:-204.8
Step-by-step explanation:
Answer:
-204.8
Step-by-step explanation:
Suppose you double the radius length of a circle. What happens to the circumference and to the number of radii that will fit around the circle?
If you double the radius of a circle, the circumference also doubles; however, the number of radii that can fit around the circumference remains unchanged.
Explanation:If you double the radius of a circle, the circumference of the circle also doubles because the formula for the circumference of a circle is 2πr (`r` being the radius). Thus if `r` becomes 2r, the circumference becomes 2(2πr) or 4πr, which is twice the original circumference.
Similarly, if you try to fit radii around the circle, you would find that exactly the same number of radii will fit around the circle as before. This is because the radius is the distance from the center of the circle to the circumference, and no matter how long the radius is, you can always fit exactly 2π radii around the circumference. Doubling the radius length therefore does not alter the number of radii that can fit around the circle.
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The table shows the results of rolling a number cube, with sides labeled 1 through 6, several times.
What is the experimental probability of rolling a 2 or a 4?
Enter your answer as a fraction in simplest form, in the box.
Answer:
P(2 or 4) = 6/40 + 8/40 = 14/40 = 7/20
Can someone help me?
Answer:
Segment DE is parallel to segment BC.
Step-by-step explanation:
Use the side splitter theorem.
Answer: Segment DE is parallel to segment BC.
How could you represent the line(s) of symmetry, if any exist, on the given trapezoid?
A) Draw the perpendicular bisector of the congruent sides
B) Draw the perpendicular bisector of b.
C) Draw the diagonals of the trapezoid.
D) No line of symmetry exists.
Answer:
b
Step-by-step explanation:
i had this on usa test prep
In how many ways is it possible for 15 students to arrange themselves among 15 seats in the front row of an auditorium?
Answer:
225
Step-by-step explanation:
bc 15 times 15 is 225 and thats how you find out how many combos ya square it
Final answer:
The number of ways 15 students can arrange themselves in 15 seats is calculated using permutations and is equal to 15 factorial (15!).
Explanation:
The question involves finding the number of different ways to arrange 15 students in 15 seats, which is a combinatorial problem in mathematics. This problem can be solved by using the concept of permutations. Indeed, if we have 15 distinct objects (students) and we want to arrange them in 15 distinct positions (seats), we need to calculate the number of permutations of 15 items taken 15 at a time.
The formula for the number of permutations of n objects taken r at a time is P(n, r) = n! / (n-r)!, where ! denotes the factorial of a number. For this case, since we are permuting all 15 students (n = 15), the number of ways they can arrange themselves in 15 seats is simply 15! (15 factorial).
To calculate 15 factorial, we multiply all integers from 1 to 15:15! = 15 imes 14 imes 13 imes ... imes 1Therefore, there are 15! different ways for the students to arrange themselves in the front row of an auditorium.is 87% likely or certain
Answer:
likely; think of it like you picking 87 red marbles out of a box of 100 different colored marbles. probability of 87/100 you picking a red marble
Use the following terms to complete the following statements: integers, rational
numbers, and whole numbers. Use each term only once.
The counting numbers and zero are ___
The counting numbers and their opposites, along with zero,
are ___
Integers and the decimal equivalents of fractions are ___
Answer:
the counting numbers and zero are whole numbers.
the counting numbers and their opposites, along with zero, are integers.
integers and decimal equivalents of fractions are rational numbers.
Answer:
Answer:
the counting numbers and zero are whole numbers.
the counting numbers and their opposites, along with zero, are integers.
integers and decimal equivalents of fractions are rational numbers. hoped this helped
How can you use a table to find the solutions
of x2 – 7x + 6 = 0?
Answer: should be
X=6,1
help fast will mark as brainlist Which formula should be used to find the circumference of a circle?
C = pi d
C = 2 pi d
C = pi r
C = StartFraction pi over d EndFraction
Answer:
The correct answer is 2 pi d
Step-by-step explanation:
Miguel is comparing the probabilities of two spinners.
Which of the following statements is true? Select all that apply.
A is False, there are three 1's on A and 1 on B, so it is 3 times more likely.
B is True, there are 4 total numbers and 2 are even, so 2/4 = 1/2
C is True, there are three 1's and 8 total numbers so 3/8 is true.
D is False, there are different quantities of different numbers so it's not fair.
E is True, there is a /2 probability of each spinner landing on odd.