Maybe you missed to add the complete question. After a little research I was able to find the complete question which is as follows:
''The cost y(in dollars) to provide food for guests at a dinner party is proportional to the number x of guests attending the party. It costs $30 to provide food for 4 guests. a. Write an equation that represents the situation. b. Interpret the slope. c. How much does it cost to provide food for 10 guests?''
So, I am solving based on this complete question.
Answer:
Please check the explanation.
Step-by-step explanation:
a. Write an equation that represents the situation.
As the cost and the number of guests are proportional.
So the equation of the form
[tex]y = mx[/tex]
Plug in the values y = 30 and x = 4 to find m
[tex]y = mx[/tex]
30 = m (4)
m = 30/4
= 7.5
Now, substituting m = 7.5 in the equation y=mx
[tex]y = mx[/tex]
[tex]y = 7.5x[/tex]
b) Interpreting Slope
Given that the units for y are dollars, and the units for x are guests.
Thus, the slope 7.5 means it costs $7.5 per guest.
c) How much does it cost to provide food for 10 guests?''
We know the equation
[tex]y = 7.5x[/tex]
put x = 10
y = 7.5(10)
y = $75
Thus, it costs 75 dollars for 10 guests.
Jonah earns $12.50 per hour as a marketing intern.
If he works for 4.5 hours, how many dollars does he
earn?
8
8.2
9
56.25
Answer:
its D/ 56.25
Step-by-step explanation:
because the other numbers are too small
p(x)=6/7x+4 What is P(42)
40
P(42) = (6/7)(42) + 4 = 36 + 4 = 40
Suri saved $50 of her paycheck the first week she worked and $25 of her paycheck each week after the first week.
How many weeks did it take Suri to save a total of $1,000?
Answer: 40 weeks
Step-by-step explanation:
1000/x=25
1000 divided by 25=40
x=40 weeks
in the graph shown below, if lines 1^1 are parallel, then the slope of the line 1^2 is?
Answer:
Two lines are parallel if the have the same slope. Example 1: Find the slope of the line parallel to the line 4x – 5y = 12. To find the slope of this line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 4x – 5y = 12 is m = 4/5.Step-by-step explanation:
good morningIf the lines l1 and l2 are parallel, then the slope of line l2 is the same as the slope of line l1.
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
For which the parameters are given as follows:
m is the slope, representing the rate of change of the function.
b is the intercept, representing the value of y when x = 0.
When two lines are parallel, they have the same slope.
Hence, If the lines l1 and l2 are parallel, then the slope of line l2 is the same as the slope of line l1.
More can be learned about linear functions at
brainly.com/question/24808124
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complete question:
In the graph shown below, if lines l 1 l 1 and l 2 l 2 are parallel, then the slope of line l 2 l 2 is
Tickets numbered 4, 5, 6......48, 49 are placed in a box and mixed thoroughly. One ticket is drawn from the box. Find the probability that the number on the ticket is:
(i) an even number (ii) A number less than 16
(iii) a perfect square (iv) a prime number less than 30.
Answer:
i) The probability that the number on the ticket is even is [tex]\mathbf{\frac{1}{2}}[/tex]
ii) the probability that the number on the ticket is a number less than 16 is [tex]\mathbf{\frac{6}{23}}[/tex]
iii) The probability that the number on the ticket is a perfect square is [tex]\mathbf{\frac{5}{46} }[/tex]
iv) the probability that the number on the ticket is a prime number less than 30 is [tex]\mathbf{\frac{4}{23} }[/tex]
Step-by-step explanation:
Tickets numbers are: 4, 5, 6......48, 49
So, total tickets in box = 46
We need to find probability that the number on the ticket is:
i) an even number.
Even number in tickets are: 4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48
Total number of favourable outcomes = 23
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 23
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{23}{46}\\Probability=\frac{1}{2}[/tex]
So, the probability that the number on the ticket is an even number is [tex]\mathbf{\frac{1}{2}}[/tex]
ii) A number less than 16
Even number in tickets are: 4,5,6,7,8,9,10,11,12,13,14,15
Total number of favourable outcomes = 12
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 12
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{12}{46}\\Probability=\frac{6}{23}[/tex]
So, the probability that the number on the ticket is a number less than 16 is [tex]\mathbf{\frac{6}{23}}[/tex]
iii) a perfect square
Perfect squares are: 4,9,16,25,36
Total number of favourable outcomes = 5
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 5
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{5}{46}[/tex]
So, the probability that the number on the ticket is a perfect square is [tex]\mathbf{\frac{5}{46} }[/tex]
iv) a prime number less than 30.
Prime numbers less than 30 are: 5,7,11,13,17,19,23,29
Total number of favourable outcomes = 8
So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]
Total number of outcomes = 46
Number of favourable outcomes = 8
Putting values and finding probability
[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{8}{46}\\Probability=\frac{4}{23}[/tex]
So, the probability that the number on the ticket is a prime number less than 30 is [tex]\mathbf{\frac{4}{23} }[/tex]
Find the slope of the line.
I WILL MARK BRAINYLIST JUST HELP MEEE
Answer:
-1/3
Step-by-step explanation:
join the zoom call and i can explain that way when another question comes no need to waste points: 73216153508 thats the code to join
Question 24 (1 point)
Which of the following is NOT a Congruence Postulate/Theorem
SSS
4
АА
SAS
ASA
8
Given the summation E (3 + 2n),
n=1
a. Write the first four terms of the sequence.
Answer:
(e^3 / e^2n)
Step-by-step explanation:
4x^3(5x) = what,
will mark brainliest
Answer:
the answer is 20x^4
Step-by-step explanation:
too long to explain, simple answewr
What are the solutions of x^2 - 2x + 10 = 0?
Answer:
C. x = 1 + 3i or x = 1 - 3i
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Algebra II
Imaginary Roots: √-1 = iStep-by-step explanation:
Step 1: Define
x² - 2x + 10 = 0
Step 2: Identify Variables
a = 1
b = -2
c = 10
Step 3: Find roots
Substitute [Quad Formula]: [tex]x=\frac{2\pm\sqrt{(-2)^2-4(1)(10)} }{2(1)}[/tex]Exponents: [tex]x=\frac{2\pm\sqrt{4-4(1)(10)} }{2(1)}[/tex]Multiply: [tex]x=\frac{2\pm\sqrt{4-40} }{2}[/tex]Subtract: [tex]x=\frac{2\pm\sqrt{-36} }{2}[/tex]Factor: [tex]x=\frac{2\pm\sqrt{-1} \sqrt{36} }{2}[/tex]Simplify: [tex]x=\frac{2\pm6i }{2}[/tex]Factor: [tex]x=\frac{2(1\pm3i) }{2}[/tex]Divide: [tex]x=1\pm3i[/tex]The 6 students
10,8,14,7,13,12. Find the mean and median round to the nearest tenth
Answer:
median is 10 or 12 and the mean is 10.6
Step-by-step explanation:
7, 8, 10, 12, 13, 14
-3/4-5/8=
This is a simple math problem
But it’s to hard for me
And I really need help
Not from someone who doesn’t know the answer
Someone please help me I’m struggling rn
Answer:
HAVE A GOOD DAY !! YAYAYA
8–2(x + 10) = 4.-6
What is the value of x?
NEED ANSWER ASAP!!!!!!!!
An airplane is flying at 32,000 feet when it starts it’s decent. It is
descending at a rate of 2000 feet per minute. Let x represent the minutes
of the flights descent and y represent the plane’s altitude.
a. Fill in the table.
b. Write an equation in slope-intercept form for the plane’s altitude.
c. Graph the equation from part (b).
Step-by-step explanation:
table
0 32000
1 30000
2 28000
3 26000
4 24000
question 2
y= - 2000*x+32000
graphic
for geometry help thanks <33
Answer:
12
Step-by-step explanation:
Solve: 7n + 5 = -44 HELPPPPPPPPPPP
Answer:
-7
Step-by-step explanation:
7n+5=-44
-5 - 5
7n=-49
7/7 -49/7
n = -7
Florida is bordered by water on three sides. Which property of water helps moderate Florida’s coastal areas?
low specific heat, which results in fast, large changes in water temperature
high specific heat, which results in fast, large changes in water temperature
low specific heat, which results in slow, small changes in water temperature
high specific heat, which results in slow, small changes in water temperature
Answer:
high specific heat, which results in slow, small changes in water temperature
Step-by-step explanation:
Got it right on edge
Answer:
D. high specific heat, which results in slow, small changes in water temperature
Step-by-step explanation:
got it right on edge
help me 20 POINTS
math math math by the way do questions 10 and 13 on page 176
Answer:
Step-by-step explanation:
12.
13. Yes it is propoitinal because they are even
7/12+1/3 show your work and how you got your answer and you do all that and don’t scam me I will give branlist
Answer: 11/12
Step-by-step explanation:
7/12 and 1/3 don’t have the same denominator, so you can’t just add them right away. You have to give them the same bottom number. 1/3 = 4/12, so you can do it like this:
7/12 + 4/12 = 11/12
11/12 is in simplest form, so that should be correct! Hope this helps! :)
Step-by-step explanation:
Hi so are we dating?????
Help please!
Thank you!
Answer:
81
Step-by-step explanation:
y= x²
if x= 9 substitute x with 9 in the equation
y= 9² = 81
Find the sale price of the item. Round to two decimal places if necessary. Original price: $82.00 Markdown: 33%
Answer:
54.67 Dollars
Step-by-step explanation:
82 / 3 = 27.33, 82 - 27.33 = 54.67 :D
Answer:54.94
Step-by-step explanation:
pls help me solve this
Answer:
x=10
Step-by-step explanation:
Because BC is a mid segment
Answer:
10
Step-by-step explanation:
These are similar triangles, which means that the ratio between 16 to 8 will equal x+10 to x. This could be written out as 16/8 = x+10/x. 16/8 is 2, which means that x+10 is twice the amount of x. We can write this out as 2x = x+10. We can then simplify this and get x = 10
Question 6
1 pts
Verizon charges a $100 initial contract fee, then $70 a month for a basic cell
phone plan. What is the slope (rate of change)?
Answer:
Slope is rate of change, so define your values.
-$100 is the initial fee
-$70 is charged per month
per month is the constant rate of change
70 is the slope
The slope (rate of change) of the function is 70.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
Given:
Verizon charges a $100 initial contract fee,
then $70 a month for a basic cell phone plan.
Let the x be the number of months.
So, the equation,
y = 70x + 100
By comparing with the slope-intercept form,
y = mx + b, where m is the slope.
So, m = 70.
Therefore, 70 is the slope.
To learn more about the slope;
brainly.com/question/3605446
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Determine the solution for the system of equations:
y = -2x + 1
3x - 2y = 5
A.(-1, 1)
B.(1, -1)
C.(-1, 0)
D.No Solution
Answer:
Step-by-step explanation: d
Select the two descriptions that match the dilation
pls help :( i’ll give brainliest
Answer:
x=12; Converse of conrresponding angles postulate
Step-by-step explanation:
On parrallel lines the corresponding angles are equal. To find x we can set up the equation up like this:
8x-17=5x+19
Solve
X=12
The converse used was the Converse of Corresponding Angles Postulate
Write an equation to represent the table. (1 point)
Boxes of Candy
5
7
9
Pieces of Candy
80
112
144
9514 1404 393
Answer:
pieces of candy = 16 × boxes of candy
Step-by-step explanation:
Each "pieces" number is 16 times the corresponding "boxes" number, so we can write ...
pieces of candy = 16 × boxes of candy
__
If you like, you can assign variables. Let x = boxes of candy, and y = pieces of candy. Then you have ...
y = 16x
In which quadrant is point C located
Answer:
Quadrant 4
Step-by-step explanation:
which of the following gives all of the sets that contain √9?
a. the set of all irrational numbers
b. the set of all natural numbers, the set of all whole numbers, and the set of all integers
c. the set of all integers, the set of all rational numbers, and the set of all real numbers
d. the set of all natural numbers, the set of all whole numbers, the set of all integers, the set of all rational numbers, and the set of all real numbers
Soldiers for the nation of Gilead. “Blessed Be the Fruit”: The standard greeting amongst Gilead residents. The traditional reply is “May the Lord open.” “Under His Eye”: The Gileadean equivalent of “Aloha” — it works as both a hello and a goodbye.