Answer:
Step-by-step explanation:
Arange the numbers in ascending order
14,18,20,28,36,58,71
You will see that the median of these data set is 28. So when you multiple it by 18, the answer will be 504.
Therefore, the answer is B. 504
What is the equation of the line through the points (3, 2), (8, 5), (13, 8) and (18, 11)?
A. y= 5/3x- 1/3
B. y= 3/5x- 1/5
C. y= 5/3x+ 1/3
D. y= 3/5x+ 1/5
Answer:
Option D.) y = 3/5 + 1/5
Step-by-step explanation:
First, we find the Slope using the formula: m = y2 - y1/x2 - x1
You may choose any two points but I will use these two for no reason at all.)
Points: (3,2) and (8,5)
m = y2 - y1/x2 - x1
m = 5 - 2/8 - 3
m = 3/5
Now that we have the slope, we can now find the Slope Intercept Form by using the Slope Form Formula. (need at least one point and slope.)
Formula: y - y1 = m(x - x1)
Point: (3,2) (you may choose any point but I will choose this for no reason at all xD)
y - y1 = m(x - x1)
y - 2 = 3/5(x - 3)
y - 2 = 3/5x - 9/5
y - 2 = 3/5x - 9/5
y = 3/5x - 9/5 + 10/5 (2 can be is any fraction that consists of the numerator multiplied twice by the denominator, such as 2/1, 4/2, 8/4, etc.)
y = 3/5 + 1/5
The final equation of the line can be written as -
y = (3/5)x + 1/5
What is the general equation of a straight line?
The general equation of a straight line is given by -
y = mx + c
Given is a line that passes through the points (3, 2), (8, 5), (13, 8) and (18, 11).
The line passes through the points (3, 2) and (8, 5). Therefore, the slope of the line will be -
m = (5 - 2)/(8 - 3) = 3/5
Now, consider the line : y = mx + c. For a point (3, 2) -
2 = (3/5) x 3 + c
2 = 9/5 + c
c = 2 - 1.8
c = 0.2
c = 1/5
Therefore, the final equation of the line can be written as -
y = (3/5)x + 1/5
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If Gabe's Soccer Ball Company is able, due to competitive pressure, to charge $60 for a new soccer ball, while one soccer ball costs $28 to make, plus $15,000 per month in overhead costs (mostly Gabe's extravagant salary) find: a. The average cost c(x) of producing each soccer ball b. Algebraically find the number of soccer balls Gabe's company must produce per month in order to break even (Profit = 0). Profit = Total Revenue – Total Cost c. Algebraically find the number of soccer balls Gabe's company must make to earn a profit of $10,000 per month. d. If Gabe took a pay cut to reduce the overhead costs to $8,000 per month, how many fewer balls would the company have to sell to break even. (There are multiple ways to get this result).
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Selling price= $60
Unitary variable cost= $28
Fixed costs= $15,000
First, we need to calculate the average total cost:
Average cost= total cost / number of units
For example, for 1 unit and 10,000 units:
1 unit:
Average cost= 15,028/1 = 15,028
10,000 units:
Average cost= (15,000 + 28*10,000) / 10,000
Average cost= $29.5
Now, we can calculate the break-even point in units:
0= (60*x) - (28*x) - 15,000
x= number of units to break-even
0= 32x - 15,000
15,000/32= x
468.75=x
break-even point in units= 469
For the desired profit of $10,000:
10,000 = (60*x) - (28*x) - 15,000
25,000= 32x
781.25= x
Break-even point= 782 units
Finally, fixed costs dropped by $8,000:
0= 32x - 7,000
x= 7,000/32
x= 218.75
Break-even point= 219
Difference= 250 units
Solve the simultaneous equations:
3a-2b=14
12a+9b=39
#12, please help answer the question in the picture
Answer:
e.
Step-by-step explanation:
hope this helps
The graph of the cube root of X is shifted one unit down in seven units to the left. What is the equation of the resulting graph? Explain
Using translation concepts, it is found that the equation of the resulting graph is given by:
[tex]y = \sqrt[3]{x + 7} - 1[/tex]
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The cube root function is given by:
[tex]y = \sqrt[3]{x}[/tex]
The changes are as follows:
Shifted one unit down, hence 1 is subtracted from the function.Shifted seven units to the left, hence [tex]x \rightarrow x + 7[/tex] in the domain of the function.Hence, the equation is given by:
[tex]y = \sqrt[3]{x + 7} - 1[/tex]
More can be learned about translation concepts at https://brainly.com/question/4521517
How to do this question plz answer
Answer:
45° and 135°
Step-by-step explanation:
(a)
The sum of the angles around O = 360°
There are 8 segments from each vertex to O , thus
∠ AOB = 360° ÷ 8 = 45°
The sum of the interior angles of a regular polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 8 , then
sum = 180° × 6 = 1080°
In a regular polygon the 8 interior angles are equal, thus
∠ ABC = 1080 ÷ 8 = 135°
9514 1404 393
Answer:
a) angle AOB = 45°
b) angle ABC = 135°
Step-by-step explanation:
a) The sum of the 8 identical central angles is 360°, so each one has a measure of ...
angle AOB = 360°/8 = 45°
__
b) The sum of the 8 exterior angles is 360°, so each one is 45°, the same measure as the central angle. The measure of angle ABC is the supplement of the exterior angle at B, so is ...
angle ABC = 180° -45° = 135°
_____
In the attached image, the central point is your O. Angle AOB is the interior angle of triangle AOB whose vertex is at O.
3(4x+4) pls quickly:)
Answer:
12x+12
Step-by-step explanation:
3(4x+4)
you times both answers to get rid of the 3
=3 • 4x + 3 • 4
= 12x+12
because they are not like terms so you cannot do anything further.
J. D. Is saving up to buy a set of Apple Airpods. It is advertised on the web site for $199. He has $56 saved. To make money, he does yardwork for his neighbors and receives $5.00 a day. How many days of yardwork will he need to complete to have enough money to buy the Airpods? His parents said they will pay the sales tax.
Answer:
29 days!
Step-by-step explanation:
$199 - $56
$143
$143/ $5 = 28.6
28.6 --> 29
Answer:
29days
Step-by-step explanation:
just work out how many fives there is there
A pizza restaurant sells containers of juice that it marks up 75 percent above its wholesale cost. If the restaurant marks up each container by $0.90, how much does the restaurant pay for each container of juice wholesale?
$0.51
$0.83
$1.20
$1.58
Answer:
$1.20
Step-by-step explanation:
$0.90=75%. divide it by 3. =$0.30. do 4 times $0.30. $1.20.
Answer:
75% of what is 0.90
0.75x = 0.90
x = 0.90/0.75
x = 1.20 <== restaurant pays $ 1.20 wholesale
In right triangle ABC, angle C is a righ angle, AB=13, and BC=5 .what is the length of AC?
Answer:
12
Step-by-step explanation:
Since this is a right triangle you can you pythagorean theorem.
a^2+b^2=c^2
A= shortest side.
B=middle side.
C=longest/slanted side or hypotenuse.
So AB is the hypotenuse.
BC is the short side.
this means that AC is the middle side. Plug your numbers in.
25 + b^2 =169
b^2=144
b=12
AC=12
Miguel used the graph below to represent a system of equations. On a coordinate plane, 2 lines will intersect at one point. Which statement is the best conclusion for Miguel’s system?
Answer b,since the lines will intersect at one point, this system has one solution:
Step-by-step explanation:
Took the test
Answer:
B
Step-by-step explanation:
Kate is organizing 585 video games into shipping boxes. Not all of the customers are ordering the same amount of videos, so not all of the boxes are going to be the same size. What are Kates options for the number of video games that can be put in each shipping box?
Answer:
1. So, Kate can put 45 video games each in 13 shipping boxes or 13 video games each in 45 shipping boxes.
2. Kate can put 117 video games each in 5 shipping boxes or 5 video games each in 117 shipping boxes.
3. Kate can put 9 video games each in 65 shipping boxes or 65 video games each in 9 shipping boxes.
Step-by-step explanation:
The prime factorization of 585 = 3² × 5 × 13.
So, the number of video games Kate can put in each shipping box are the different combinations of the prime factors. So, they are
1. 3² × 5 × 13 = 45 × 13 or 13 × 45.
So, Kate can put 45 video games each in 13 shipping boxes or 13 video games each in 45 shipping boxes.
2. 3² × 5 × 13 = 3² × 13 × 5 = 117 × 5 or 5 × 117
So, Kate can put 117 video games each in 5 shipping boxes or 5 video games each in 117 shipping boxes.
3. 3² × 5 × 13 = 3² × 13 × 5 = 9 × 65 or 65 × 9
So, Kate can put 9 video games each in 65 shipping boxes or 65 video games each in 9 shipping boxes.
-3^2=
Answer:
9
Step-by-step explanation:
(-3)²
(-3) × (-3) ∴ [ ( - ) × ( - ) = + ]
9
Thus, (-3)² = 9
-TheUnknownScientist
Use a matrix equation to solve the system of linear equations. left brace Start 2 By 1 Matrix 1st Row 1st Column 2nd Row 1st Column EndMatrix x plus 2 y equals 8 nbsp 2 x plus 6 y equals 9 What is the inverse matrix?
Answer:
[tex]\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right][/tex]
Step-by-step explanation:
The matrix system for the linear equations: x + 2y = 8, 2x + 6y = 9
[tex]\left[\begin{array}{ccc}1&2&\\2&6\\\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}8\\9\end{array}\right][/tex]
To get the coefficient of x and y, the inverse of the first matrix (let the first matrix be A) must be known.
[tex]A^{-1}[/tex] = (1 / determinant of A) x Adjoint of A
the determinant of A = (1 x 6) - (2 x 2) = 6 - 4 = 2
Adjoint of A = [tex]\left[\begin{array}{ccc}6&-2&\\-2&1\\\end{array}\right][/tex]
[tex]A^{-1}[/tex]= [tex]\frac{1}{2} \left[\begin{array}{ccc}6&-2\\-2&1\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right][/tex]
Got the answer thanks
Answer:
Welcome
Step-by-step explanation:
Use the given information to write the equation of the line.
slope 2, y-intercept - 4
Help please, be sure your right.
Answer:
Step-by-step explanation:
System A and System B are not equivalent !!!
P = 2(w + h)
W = 12 correct to the nearest whole number
h = 4 correct to the nearest whole number
Work out the upper bound for the value P
(urgent please)
Answer:
p=32
Step-by-step explanation:
4+12=16
16×2=32
p=32
After substituting W = 12, h = 4, in the equation P = 2(w + h), P = 32
What is upper bound?"An element greater than or equal to all the elements in a given set."
What is equation?"It is an expression which contains an equal symbol."
For given question,
Given equation: P = 2(w + h)
W = 12, h = 4
After substituting these values in given equation,
⇒ P = 2 × (12 + 4)
⇒ P = 2 × 16
⇒ P = 32
Learn more about upper bound here:
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to find the square root of a number do you divide by 2
Question in picture solve
Answer:
36
Step-by-step explanation:
You substitute 9 in for x so it would look like this 5(9)-9 then you solve and you get the solution of 36.
If you liked my answer then please make it the brainliest it would be much apprecited. Thanks!
how many is ounces is 4 gallons
Answer:
512 ounces
Step-by-step explanation:
There are 128 ounces in a gallon.
128 x 4 = 512
Answer:
512
Step-by-step explanation:
Determine if the two triangles are congruent. If they are, state how you know.
1)
2)
Mighty maids charges $35 to clean 6 rooms and $15 for each additional Determine the maximum number of rooms that can be cleaned for $80
Inequality:
Solution:
Answer:
Step-by-step explanation:
80-35= 45
45/15=3 so three more rooms are $15 a room
Total rooms are 9. The original 6 plus the additional 3.
80≥35+15x
45≥15x
3=x
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
Step-by-step explanation:
I'm not exatcly sure what is meant by magnitude but if it is the slope it is simply -7 if it is asking about the actual magnitude or length of the vector then we use pthagorean theorum which is:
[tex]c^{2} =a^{2} +b^{2}\\[/tex]
when adjusted to solve for the answer is
[tex]c = \sqrt{a^{2}+b^{2}\\}[/tex]
which is c = sqrt (1^2) + (-7)^2 = [tex]\sqrt{50}[/tex] would be the exact answer
URGENT NEEDS ANSWERED WITHIN 20 MINUTES
Find the radius of a circle whose sector area is 59 square inches and whose arc measures 40o.
The sum of a number, n, and a number 5 larger than it is 41. Which of the following equations could be used
to solve for the number?
(1) +5n41
(3) 5(n+1) = 41
(2) +n+ 5-41
(4) 5n+n+1-41
11) Jonsey is standing at a cliff that is 5ft above sea level. He dives into the water and descends to a depth 8ft below sea level. How far did he travel?
Answer:
13ft
Step-by-step explanation:
5ft + 8ft=13ft
Answer:
-13Ft
Step-by-step explanation:
A line that contains the point (0,4) if the slope of the line is m=5 write the equation of the line using slope intercept form
Answer:
y = 5x + 4
Step-by-step explanation:
Slope intercept form is y = mx + b. m is the slope which is already given to you, which leaves you with y = 5x + b. Then you plug in (0,4) to find what b is. 4 = 5(0) + b
4 = 0 + b
4 = b
y = 5x + 4
50+30x=250+10x Help!!!!!
Answer:
x = 10
General Formulas and Concepts:
Order of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define equation
50 + 30x = 250 + 10x
Step 2: Solve for x
Subtract 10x on both sides: 50 + 20x = 250Subtract 50 on both sides: 20x = 200Divide both sides by 20: x = 10Step 3: Check
Plug in x to verify it's a solution.
Substitute: 50 + 30(10) = 250 + 10(10)Multiply: 50 + 300 = 250 + 100Add: 350 = 350Two towns on a map are 2 1/4inches apart. The actual distance between the towns is 45 miles. Which of the following could be the scale on the map?
a. 1/2 inch : 10 miles b. 1 inch: 5 miles c. 1 inch : 20 miles
Answer:
A. 1/2 inch:10 miles
Step-by-step explanation:
1/2*4.5=2 1/4
10*4.5=45