Answer:
B
Step-by-step explanation:
You want to find the hours, not the number of people.
We wouldn't know anything about the "best musician" that one wouldn't be a good answer choice
A line passes through (3,5) and (6, 14). What is the equation of the line in point-slope form? O A. y - 5 = 1/3 (x – 3) or y – 14 = 1/3 (x – 6) B. Y- 5 = 3(x – 3) or y – 14 = 3(x – 6) C. y-5 = 19/9 (x – 3) or y – 14 = 19/9 (x – 6) or y - 5 = 9/19 (x – 3) or y – 14 = 9/19 (x – 6)
B.) y-5 = 3(x-3) or y-14 = 3(x-6)
The equation of line in point slope form is (y - 5) = 3(x - 3) or (y - 14) = 3(x - 6) passing through ( 3 , 5) and (6,14).
What is line ?" A line is defined as the collection of points in one dimensional plane which represents only one dimension length and can extends to infinity."
Formula used
Slope(m) = [tex]y_{2} - y_{1}[/tex]/[tex]x_{2} - x_{1}[/tex]
Equation of line : ([tex]y[/tex] - [tex]y_{1}[/tex]) = m([tex]x[/tex] - [tex]x_{1}[/tex])
According to the question
We have
([tex]x_{1}[/tex], [tex]y_{1}[/tex]) = (3 , 5)
([tex]x_{2}[/tex] , [tex]y_{2}[/tex]) = (6 , 14)
Substitute the value in the formula to get slope of line we get,
m = 14 - 5/6 - 3
= 9/3
= 3
Substitute the value in the formula of equation of line we get,
For ([tex]x_{1}[/tex], [tex]y_{1}[/tex]) = (3 , 5)
(y - 5) = 3(x - 3)
or
For ([tex]x_{2}[/tex] , [tex]y_{2}[/tex]) = (6 , 14)
(y - 14) = 3(x - 6)
Hence, Option (B) is the correct answer.
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Given the weekly demand curve of a local wine producer is p= 50-0.1q, and that the total cost function is c= 1500+ 10q, where q bottles are produced each day and sold at a price of $p per unit. a)Express the weekly profit as a function of price.b) at what price must a bottle of wine be sold to realise maximum profit. c) what is the maximum profit that ca be made by the producer
Answer:
Step-by-step explanation:
From the given information:
a) To express the weekly profit as a function of price
Cost =C(q) = 1500 + 10q
Revenue = p×q = (50 − 0.1q)×q = 50q - 0.1q²
Revenue = 50q - 0.1q²
Weekly profit = Revenue - Cost
P(q) = (50q -0.1q²) - (1500 + 10q)
P(q)= -0.1 q² + 40 q - 1500
However, q = 500 - 10 p using p = 50 − 0.1q
P= -0.1 (500 - 10 p)² + 40 (500 - 10 p) - 1500
P= -10 p² + 600 p - 6500
b)
The price at which the bottle of the wine must be sold to realise a maximum profit can be determined by finding the derivative and then set it to 0
P' = 0
= -20p+600 = 0
20p = 600
p = 600/20
p = $30
c)
The maximum profit that can be made by the producer is:
P= -10(30)² + 600(30) - 6500
P = - 9000 + 18000 - 6500
P = $2500
Peter says there are two distances for which he and Maria charge the same amount. To prove Peter is not correct, Maria graphs a line for her delivery charges and a line for Peter’s delivery charges. Each line represents the relationship between the amount (y), in dollars, each person charges for a delivery and the distance (x), in miles, each drives for the delivery. Without showing the graph, explain how Maria’s graph of the two lines proves Peter is not correct.
What is x x − 7 = 13
Answer:
x = 20
Step-by-step explanation:
13+7=20
x = 20
Please show your work? A pool of possible candidates for a student council consists of 14 freshmen and 9 sophomores. How many different councils consisting of 5 freshmen and 7 sophomores are possible?
28,828,800
1,352,078
72,072
943,286,400
Answer:
28,828,800
Step-by-step explanation:
There are 72,072 ways of choosing different councils consisting of 5 freshmen and 7 sophomores
What are permutation and combination?A permutation is an arrangement of things where order matters, AB and BA are two different permutations.
The combination is a selection of things where order does not matter, AB and BA are the same combinations.
Given, A pool of possible candidates for a student council consisting of 14 freshmen and 9 sophomores.
∴ 5 freshmen out of 14 freshmen can be chosen in [tex]^{14}C_5[/tex] ways and 7 sophomores can be chosen out of 9 sophomores in [tex]^{9}C_7[/tex] ways.
So, The no. of different councils consisting of 5 freshmen and 7 sophomores are possible is,
= [tex]^{14}C_5\times^{9}C_7[/tex] ways.
= 14!/(14 - 5)!×5! × 9!/(9 - 7)!×7! ways.
= 14×13×12×11×10/120 × 9×8/2 ways.
= 2002× 36 ways.
= 72,072.
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3 different ways to write 4/8
in ratios
Answer:
1:2
2:4
3:6
Step-by-step explanation:
Answer:
4:8
4 to 8
4/8
Step-by-step explanation:
imnogay i promise please forgive me
Answer:The distance between -2, and 8 is 10
The distance between 4 and 1 is 3
Step-by-step explanation:
Solve for x:
negative 9 over 8, multiplied by x minus 7 equals -25
A) −36
B) −16
C) 16
D) 36
Answer:
Step-by-step explanation:
16
During a 20 kilometer hike, Deana consumed 334 quarts of water. What was Deana's average water consumption in quarts per kilometer? in a exact and completely simplified answer.
Answer:
16.7 quarts/kmStep-by-step explanation:
Distance = 20 kmWater consumed = 334 quartsWater consumption rate is:
334 quarts / 20 km = 16.7 quarts/km10x-6y=-48
standard to slope intercept form
Answer:
[tex]y=\frac{5}{3}x+8[/tex]
Step-by-step explanation:
Remember, slope intercept form is:
y = mx + b
where m is the slope and b is the y-intercept.
To get the given equation into slope-intercept form, we would have to first solve for y in terms of x.
10x - 6y = -48
Subtract 10x from both sides.
-6y = -48 - 10x
Multiply both sides by -1.
6y = 10x + 48
Divide both sides by 6.
[tex]y=\frac{5}{3}x+8[/tex]
And now, looking at the equation that we found and the equation for slope-intercept form, we can see that we have found the equation for 10x - 6y = -48 in slope-intercept form.
I hope you find my answer to be helpful. Happy studying.
Solve:
12 + 5 + 3’2 x 10 - 5 =
(12 + 5) + 3'2 x (10 – 5) =
Answer:
1) 102
2) 62
Step-by-step explanation:
12 + 5 + 3² × 10 - 5
12 + 5 + 9 × 10 - 5
12 + 5 + 90 - 5
17 + 90 - 5
107 - 5
102
(12+5) + 3² × (10 - 5)
(17) + 9 × (5)
17 + 45
62
2 2/3 as a improper fraction
Answer:
8/3
Step-by-step explanation:
Answer: 8/3
Step-by-step explanation: if you write 2 has a fraction with the denominator being 3 you will get 6/3 then you can add 6/3+2/3=8/3
A. It has reflectional symmetry with one line of symmetry.
B. It has rational symmetry with an angle rotation of 45°.
C. It has point symmetry.
D. It has no reflectional symmetry.
PLZ HELP!
Answer:
The answer would be D.
Step-by-step explanation:
No matter which way you turn this shape, it will not be symmetrical
what is 0.345 in standard form
Answer:
Step-by-step explanation:
The ans is 345/1000
Answer: 3.45x10⁻1
Step-by-step explanation:
20. The product of five and four more than x is 60.
a. 5x4+= 60
b. 5x+4 = 60
c. 5(x + 4) = 60
d. 5+4+x=60
Answer:
D
Step-by-step explanation:
I think the answer is D because 5 and 4 equal 9, and equation D is 5+4+x=60. So, the correct equation is D. Hope it helps!
PLEASE HELP QUICKLY: (FIRST ANSWER GETS BRAINLIEST) 93 POINTS
From the grocery store you need to purchase 1/2 lb cheese, 3 lbs sliced ham, 2 loaves of bread, 4 bags of potato chips, and 1 container of salsa. You have a coupon for $4.00 off if your purchase totals more than $15.00 or 10% off if the total is more than $20.00. The food sales tax is 3%. What is the total cost of the groceries after the best discount is given and taxes applied?
Item Cost
Cheese $1.99/lb
Sliced Ham $3.29/lb
Bread $1.59/loaf
Potato Chips $1.99/ea OR 2 for $3.00
Salsa $1.39/container
$17.96
$21.44
$16.86
Hi can somebody help me with this equation, please? 50=2(x+3)+10
Answer: x = 17
Step-by-step explanation:
1) Subtract 10 from both sides
40 = 2(x+3)
2) Divide both sides by 2.
20 = x + 3
3) Subtract 3 from both sides
17 = x
x = 17
Answer: x= 17
Step-by-step explanation:
17 plus 3= 20
then you multiply 20 times 2 (PEMDAS)
Then you get 40 and 40 + 10
equals 50
BRAINILEST IF ANSWERED QUICKLY AND CORRECT.
(05.01)Dawn is making an abstract painting with two triangles. The dimensions of the painting are shown below:
Two triangles share the same height of 8 inches. One triangle has a base of 6 inches and the other is 10 inches.
The total area of the two triangles is _____ square inches.
Answer:
64
Step-by-step explanation:
A=1/2bh
basic multiplication after that
Answer:
Multiply the height by the base to get the area. 8 x 6 = 48. The area of the first triangle is 48 square inches. 8 x 10 = 80. The area of the second triangle is 80 square inches.
Step-by-step explanation:
-3/4 x -1/5=
What is the answer??
Answer:
870000000000000000000000
Write the equation of the line that passes through (3, -2) and is parallel to y= 4x+1
Answer:
it should be y=4x-14
Step-by-step explanation:
since the line is parallel to y=4x+1 than the slope should be the same but the y intercept is different. and so u put the coordinate on a graph and use the slope and coordinate to fine the equation.
BRAINLIEST!!! easy question
Answer:
x=10 degrees
Step-by-step explanation:
Becuase we know this is a 90 degree angle, we can just say that angle BAF+FAE=90 degrees.
Simplifying, we get
9x=90
or x=10
Answer:
18 degrees hope this helps
Step-by-step explanation:
please give me brainliest i need 4 more brainliests so plz be a good friend and help me plz.
the question is Reasoning Determine whether each statement is true or false for f (x) = |x|,
and explain your answer.
2. False -3 is not in the range of the function because the absolute value bars limit the y value to 0 and above
3. True any function like this with the x value in absolute value bars will always be identical on the opposite side of the y-axis
this applies to anything like: y=|x|, y=2|x|, y=|2x+2| and y=|x|+2
4 less than a number g equals 9
Answer fast I will name you the most Brainly please help
9514 1404 393
Answer:
g - 4 = 9
Step-by-step explanation:
If the number is g, then four less than the number is g-4.
If that is 9, then you have the equation ...
g - 4 = 9
_____
Additional comment
If you add 4 to both sides of the equation, you have its solution.
g -4 +4 = 9 +4
g = 13
So, 4 less than 13 is 9.
The parking garage for a building is underground. Kennedy parks her car 4 floors below ground level. She plans to walk to the 3rd floor of the office building from her car. If she uses the stairs to walk from her car to the 3rd floor of the building, how many floors will she travel?
Answer:
5 flights of stairs
Step-by-step explanation:
The car is 4 floors below ground so she walks 4 to get to ground level. Then she walks 3 more to get to where she is going.
4 + 3 = 7 total floors
list the first three multiples of 11
Answer:
22 33 44
Step-by-step explanation:
do you need to include 11
The recipe calls for 2/3 cup of sugar and 3/4 cup of flour. What is the total amount of dry goods that the recipe calls for you to make the cake?
Answer:
17/12
Step-by-step explanation:
find a common denominator for each number so 8/12 and 9/12
7x-6=21+7x solve for x.
Answer: x= 34/7
Step-by-step explanation:hope this helps!
You move down 3 units. You end at (5,-2). Where did you start?
Letter: 8.5 inches by 11 inches Legal: 8.5 inches by 14 inches Junior legal: 5 inches by 8 inches Tabloid: 11 inches by 17 inches a. Are any of the paper sizes similar? b. The dimensions of government-letter paper are each 0.5 inch less than the dimensions of letter paper. Are these paper sizes similar? Question 2 c. By increasing the shorter side of legal paper by inch, it is similar to the size of junior legal paper.
Answer
a. No none are similar.
b. No.
c. Even if it were to be increased it still won’t be similar as what we would get would be 133 inches.
Step-by-step explanation:
LETTER = 8.5inches * 11 inches = 93.5inches.
LEGAL = 8.5inches * 14 inches = 119 inches
Junior legal: 5 inches * 8 inches = 40inches.
Tabloid: 11 inches * 17 inches = 187 inches
Government paper = 8inches * 10.5 inches = 84 inches.
a grocery storr buys items and then applies a markup of 70%. Find the markup if the original cost was 10$
Answer:
7
Step-by-step explanation:
70/10=7