WIlL GIVE BRAINLIEST!!!
Write two expressions for this situation, one representing the cost per customer and the other representing the average number of customers. Assume that x represents the number of $1 increases in the cost of the buffet.
Enter the correct answer in the box. Type the cost expression on the first line and the customer expression on the second line.
Answers
The expressions that can be used to derive the quadratic inequality for the
situation are;
Cost: 10 + xCustomers: 16 - 2·xReasons:
The parameters of the restaurant are;
The charge per buffet = $10
Number of customers that choose the buffet every hour = 16 customers
For an increase in $1 in the cost of the buffet, the customers decrease by 2 per each hour.
The required minimum revenue per hour = $130
Required:
The situation is to be modelled as a quadratic inequality.
Two expressions for the situation, one for the cost and one for the
customers.
Assumption: x = The number of $1 increases in the cost of the buffet
Solution:
The expressions are;
The cost of the buffet for an increase in x dollars is; Cost = 10 + xThe expression for the customers when the cost increases by x amount is; Customer = 16 - 2·xWhich gives;
Cost × Customers = Revenue
The inequality that models the situation is therefore;
(10 + x) × (16 - 2·x) ≥ 130
Which gives;
160 - 20·x + 16·x - 2·x² ≥ 130
160 - 4·x - 2·x² ≥ 130
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Answer:
Cost: 10 + x
Customers: 16 - 2·x
Step-by-step explanation:
I got it right. Hope this helps.
Related Questions
If I have 4 magazines, and each magazines has 13 bullets, And there are 30 people in class and you need 4 bullets for each person. How many people get 4 bullets.
Answers
Answer:
13Step-by-step explanation:
4 magazines, and each magazines has 13 bullets:
4*13 = 52 bullets4 bullets for each person:
52/4 = 13 peopleWhat are the ordered pairs of the
solutions for this system of equations?
f(x) = x2 – 5x + 3; f(x) = -3
(2, [?]); ( ), ( )
Answers
Given that
[tex]f(x) = -3\\\\\implies x^2 -5x +3 = -3 \\\\\implies x^2 -5x +6=0\\\\\implies x^2 - 3x -2x +6 =0\\\\\implies x(x-3) -2(x-3) =0\\\\\implies (x-2)(x-3)=0\\\\\implies x =2~ \text{or} ~ x =3[/tex]
Answer:
(2, - 3 ) and (3, - 3 )
Step-by-step explanation:
f(x) = x² - 5x + 3 and f(x) = - 3 , then equating
x² - 5x + 3 = - 3 ( add 3 to both sides )
x² - 5x + 6 = 0 ← in standard form
(x - 2)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 3 = 0 ⇒ x = 3
solutions are (2, - 3 ) and (3, - 3 )
What is the answer to this question?
Answers
Answer:
Perimiter would be 30cm
Step-by-step explanation:
3+3+6+3+6+3+6
A rhombus is a special parallelogram. Which are true about a rhombus that is not true about all parallelograms? Pick up to 3 answers. A. Diagonals create a right angle where they interesect B. All sides are congruent C. Diagonals bisect vertex angles D. Diagonals are congruent E. Opposite angles are congruent
Answers
The statement that is true about a rhombus that is not true about all parallelograms are as follows;
Diagonals create a right angle where they intersect All sides are congruent Diagonals bisect vertex anglesDiagonals of a rhombus are perpendicular bisector of each other. This means they form a right angle where they intersect.
This is not true for parallelograms. The diagonal only bisects each other.
All sides are congruent for a rhombus .
This is not true for a parallelogram. Only opposite sides are congruent for a parallelogram.
The diagonal bisect the vertex angles of the rhombus.
This is not true for a parallelogram.
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A simple random sample of 30 students was selected from a normally distributed population of high school students. The following confidence intervals were calculated at 90, 95, and 99% confidence levels to estimate the average number of hours of sleep the students got each night. Determine which confidence level goes with each confidence interval. Between 7. 3 and 8. 7 hours of sleep: Between 7. 0 and 9. 0 hours of sleep: Between 7. 2 and 8. 8 hours of sleep:.
Answers
Answer:
between 7.0 and 9.0 hours of sleep
Step-by-step explanation:
got it right
the value of y varies directly with X. Which function represents the relationship between X and Y if y equals 15/6 when x equals 20
Answers
Answer:
y = (1/8)x
Step-by-step explanation:
The relevant basic formula is y = kx, where k is the constant of proportionality.
We must find k. To do this, let y = 15/6 and x = 20 in the above formula:
15/6 = k(20)
We solve for k by dividing both sides by 20: 15/(6*20) = k = 1/8
Then the specific formula for this situation is y = (1/8)x
(-5,1) and (-5,4) what is the slope of the line that passes through the given points
Answers
Answer:
Undefined
Step-by-step explanation:
I always like to take a good look at the points before I go about solving for the line. To me, it looks like this is going to be a vertical line. Why do I think that? Well, for each point, the x-value is -5. Since this is a linear function, every other point must also have an x-value of -5. So, our line would be straight up and down, going through the x-intercept (-5, 0). Let's try out this theory by subtracting our y-values and then our x-values, then dividing:
[tex]\frac{4-1}{-5-(-5)} =\frac{3}{-5+5} =\frac{3}{0}[/tex]
And that makes sense! Functions that show up as vertical lines are undefined, since their slopes always have 0 as a denominator, and anything divided by 0 turns out to be undefined. So, that's our answer - the slope is undefined.
Hopefully that's helpful! :)
Answer:
undefined
Step-by-step explanation:
(-5, 1) and (-5, 4) lie on the same vertical line.
A vertical line has undefined slope.
Factorise fully
gcse maths
please help
Answers
Answer:
Step-by-step explanation:
Numbers: HCF of 18 and 30
18: 2 * 3 * 3
30:2 * 3 * 5
HCF: 2 and 3 = 6
a: a * a and a.
HCF = a
b: b
c: c and c*c
HCF: C
Answer: 6*a*b*c(3a + 5*c)
Note: for this question one of the factors is the HCF and the other is what remains when the HCF is taken out.
SnackTime Foods produced 3,181,990 grams of popcorn last year, which was placed in 7- gram bags. How many bags did the company fill? bags Submit
Answers
Answer:
The company filled 454570 bags.
Step-by-step explanation:
please help!! thanks!
Answers
Answer:
A.) Yes
Step-by-step explanation:
Plug in (3,2) into both equations ....
2(3) - 3(2) = 0
2(3) + 2 = 8
Then solve ....
2(3) - 3(2) = 0
6 - 6 = 0
0 = 0
2(3) + 2 = 8
6 + 2 = 8
8 = 8
Since both equation are true the solution (3,2) is true
3 1/2 units from -2 on a number line. Which numbers, if any could be the value of m
Answers
Answer:
1 1/2 and -5 1/2
Step-by-step explanation:
if you add 3 1/2 to -2 you get 1 1/2
if you subtract 3/12 from -2 you get -5 1/2
What is the slope of the line that passes through the ordered pairs(1,14)and(−5,−34)?
Answers
Answer:
The answer is 8!
Step-by-step explanation:
I took the quiz. Have a great day, hope this helps!
Which expression is equivalent to -14x + 28?
Answers
Answer:
B. 2x-3
Step-by-step explanation:
14 and 21 have a common factor which is 7 so divide both by 7 to get 2x-3.
F = 1/5 gh^2
solve for h
Answers
Answer:
First of all, let's multiply both sides by 5, clearing the denominators:
Then, as long as g is not zero, we can divide by g, and let's read right to left:
At this point, assuming F and g are either both positive or both negative, we can take the square root of both sides:
If h represent a quantity that is positive by it's nature (ie, the length of a segment) you can consider only the positive root, ie ignoring the plus or minus sign.
I need some help! 50 POINTS WILL MARK BRAINIEST!
Question A, Part 1,
A media company wants to track the results of it's new marketing plan, so the video production manager recorded the number of views for one of the company's online videos. Thw results of the first 5 weeks arw shown in the table.
Weeks x, 0, 1, 2, 3, 4, 5
Views F(x), 5,120, 6,400, 8,000, 10,000, 12,500, 15, 625
Write an equation to model the relationship between the number of weeks, x, and the number of views F(x). Enter the correct answer in the box by replacing the values or a and b
f(x) = a(b)^x
Part B
During the same time, the digital print manager tracked the number of visits to the websites homepage. He found that before launching the new marketing plan, there were 4,800 visits. Over the course of the next 5 weeks, the number of site visits increased by a factor of 1.5 each week.
Write an equation to model the relationship between the number of weeks, x, and the number of site visits f(x).
Enter of the correct answer in the box by replacing the values or a and b.
f(x) = a(b)^x
Part C
During their team meeting, both managers shared their findings. Complete each statement describing their combined results.
Select the correct answer from each drop down menu.
The initial number of video views was ___(A:More than, B:The same as, C:Fewer than). the initial number if site visits, and the number if video views grew by___(A:A smaller factor than, B:The same factor as, C:A larger factor than), the number of site visits.
The difference between the total number of site visits and the video views after 5 weeks is___(A:20,825, B:36,450, C:52,075, D:15,625)
Please help it'd be really helpful! I'm having a lot of issues and it's due really soon thank you!! <3
Answers
Answer:
A) [tex]f(x)=5120(1.25)^x[/tex]
B) [tex]f(x)=4800(1.5)^x[/tex]
C) see below
Step-by-step explanation:
Part A
Hopefully this formatting looks ok:
| Weeks x | Views f(x) |
| ------------ | -------------- |
| 0 | 5120 |
| 1 | 6400 |
| 2 | 8000 |
| 3 | 10000 |
| 4 | 12500 |
| 5 | 15625 |
| ------------ | -------------- |
That's my attempt at a table.
We need an equation in the form of:
[tex]f(x)=a(b)^x[/tex]
where a is the starting value and b is the growth factor.
First, check the difference between each week:
[tex]6400 - 5120=1280\\8000 - 6400=1600\\10000 - 8000=2000\\12500 - 10000=2500\\15625 - 12500=3125\\[/tex]
Then, check the scale factor for each of the differences:
[tex]16000\div 12080 = 1.25\\2000\div 1600=1.25[/tex]
etc..
The difference grows by 1.25x each week. That is, a grow factor of 1.25.
Now that we have both the starting value and the grow factor, we can write the equation:
[tex]f(x)=5120(1.25)^x[/tex]
If you want to test it, for example, calculate for the 3rd week:
[tex]f(3)=5120(1.25)^3\\f(3)=5120(1.953125)\\f(3)=10000[/tex]
Part B
This is very similar to Part A. The starting value and growth factor are given this time, so all you need to do is write the equation with the new values.
[tex]f(x)=4800(1.5)^x[/tex]
Part C
The initial number of video views (5120) was more than the initial number of site views (4800), and the number of video views grew (1.25) by a smaller factor than the number of site visits (1.5).
The difference between the total number of site visits and the video views after 5 weeks is 20,825.
[tex]f(5)=5120(1.25)^5=15625 -video\\f(5)=4800(1.5)^5=36450-site\\36450-15625=20825[/tex]
The equation to model the relationship between the number of weeks and the number of views will be f(x) = 5120(1.25)^x
How to depict the equation?From the information given, the difference in the views will be:
6400 - 5120 = 1280
8000 - 6400 = 1600
10000 - 8000 = 2000
The scale factor will be:
= 1600/1280 = 2000/1600
= 1.25
Therefore, the growth factor is 1.25.
The equation to model the relationship between the number of weeks, x, and the number of site visits is 4800(1.5)^x.
Lastly, the difference between the total number of visits and the video views will be:
= 4800(1.5)^5 - 5120(1.25)^5
= 36450 - 15625
= 20825
Learn more about equations on:
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PLZZZ HELP ASAP I NEED IT FAST!
Answers
Answer:
5.4
Step-by-step explanation:
Step 1: Take any two side lengths from the quadrilaterals (one from ABCD and one from PQRS)
For this case, I'm going to take 4 and 7.2Step 2: Divide the length you took from PQRS by the length you took from ABCD.
[tex]\frac{7.2}{4}[/tex] [tex]1.8[/tex] (1.8 is the scale factor (SF))Step 3: Since CD and RS and corresponding sides, multiply 3 by 1.8
[tex]3 * 1.8[/tex] [tex]5.4[/tex]Therefore, x = 5.4.
Answer:
5.4
Step-by-step explanation:
Look at photo for explanation
Rick buys 3 CDs and 5 video games. The cost of one video game is $12.00 more than the cost of one CD. If Rick spends $164.00, what is the cost of each CD?
Answers
Step-by-step explanation:
x = price per video game
y = price per CD
164 = 5x + 3y
and then we know
x = y + 12
now we can use this as substitute in the first equation :
164 = 5(y + 12) + 3y = 5y + 60 + 3y = 8y + 60
104 = 8y
y = $13
x = y + 12 = 13 + 12 = $25
so, each CD costs $13.
Identify the slope and y-intercept of the
equation 2x + 5y = 20
Answers
Answer:
Slope = - ⅖
Y-intercept = (0, 4), where b = 4
Step-by-step explanation:
Given the linear equation in standard form, 2x + 5y = 20, where A = 2, B = 5, and C = 20:
Start by transforming the standard equation into its slope-intercept form, y = mx + b, where m = slope, and b = y-intercept.
Subtract 2x from both sides:
2x -2x + 5y = - 2x + 20
5y = -2x + 20
Divide both sides by 5 to isolate y:
[tex]\frac{5y}{5} = \frac{-2x + 20}{5}[/tex]
y = - ⅖x + 4 ⇒ This is the slope-intercept form where the slope, m = -⅖, and the y-intercept, b = 4. The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). The y-coordinate is the value of b in the slope-intercept form. Therefore, the y-intercept is (0, 4).
ggraph this function
Answers
Answer:
The graph of the equation x^2 - 4x - 5 is linked as a pdf down below.
What is mZ2 + m 3? А 1 2 3 4 D m22 + m 23 =
Answers
Answer:
link
Step-by-step explanation:
HELP MEEEEEEEE PLEASE
Answers
Answer:
Option A (3/4)
Step-by-step explanation:
Please mark Brainliest
Answer:
THATS CORREC T
Step-by-step explanation:
CAUSE A IS THE RIGHT ONE THE REST BIS WRONG BUT IT CAN E CONFUSING
A jar contains 35 coins made up of 20c and 50c coins only. Then total value of the coins is
$13.90.
(I) If there were x 20c coins, write an equation in x for the number of 50c coins.
(ii) Using the given information, write an equation in terms of x for the total sum of money
the jar holds.
(iii) Solve the equation to find the number of each type of coin in the jar.
Answers
There are 12 coins which are 20 cent each and 23 coins which are 50 cent each.
Let x represent the number of 20 cent ($0.2) coins
i) Since there are 35 coins in total:
Number of 50 cent coins = 35 - x
ii) The total value of the coins is $13.90. Hence:
0.2x + 0.5(35 - x) = 13.90
iii) 0.2x + 17.5 - 0.5x = 13.90
0.3x = 3.6
x = 12
Number of 50 cent coin = 35 - x = 35 - 12 = 23
Therefore there are 12 coins which are 20 cent each and 23 coins which are 50 cent each.
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It is normal for some newborn babies to lose weight in their first week of life. Baby Todd's birth weight was 10 pounds. One week after being born, he is 10% lighter. What is Todd's current weight? pounds
Answers
Answer:
9 pounds
Step-by-step explanation:
you can use cross multiplication to find 10percent of 10 pounds, then subtract this from 10 pounds
Three bowls of frozen yogurt cost 8.25. At the same rate how much do 9 bowls of frozen yogurt cost.
Answers
Answer:
$24.75
Step-by-step explanation:
$8.25 is for 3. So triple that cost gets you $24.75
I really don’t know how to do this
Answers
(16/25)^2= 1- (26/5)^2/a^2
256/625=1- 676/25a^2
676/25a^2=1- 256/625
676/25a^2=369/625
422500=9225a^2
a^2 = 16900/369
a= 6.76753
= 6.8
D is the answer
try these.Evaluate the following logarithms.
Answers
Answer:
Reminder: [tex]log _a x[/tex] answers the question: "what power do I have to raise a to in order to get x?"
Thus said.
[tex]1. \ 64= 2^6 = 4^3 \implies log_464=3\\2. \ 5^1 = 5 \implies log_55 = 1\\3.\ 3^1=3; \ 2^1=2 \implies Log_33 + log_22 = 1+1=2\\4.\ 5^1=5; \ 8^1=8 \implies log_55 - log_88=1-1=0\\5. \ 8=2^3; 32=2^5 \implies log_28+log_232 = 3+5=8[/tex]
Last one, if you already talked about log properties, can be handled as:
[tex]log_28+log_232= log_2(8\times32) = log_2256 =8\ (256=2^8)[/tex]
Which expression is equivalent to 24 x 2 - 22 x + 5? A(8 x - 5)(3 x - 1) B (8 x + 5)(3 x + 1) C(12 x - 5)(2 x - 1) D (12 x + 5)(2 x + 1)
Answers
Answer:
C) (12x-5)(2x-1)
Step-by-step explanation:
12x multiplies 2x to give 24x²
then 12x multiply -1 to give -12x
then -5 multiply 2x to give -10x
then -5 multiply -1 to give 5
that will be 24x²-12x-10x+5
our and =24x²-22x+5
9.
3
Here is a recipe for making 10 chocolate chip cookies.
Chocolate Chip Cookies
Makes 10 cookies.
100 g of flour
60 g of sugar
50 g of margarine
40 g of chocolate chips
g
2 eggs
Work out the amounts needed to make 15 chocolate chip cookies.
Answers
Answer:
you will half the recipe, so
50g flour
30g sugar
25g margarine
20g chocolate chips
1 egg
then add together. recipe for 15 cookies will be;
150g flour
90g sugar
75g margarine
60gr chocolate chips
3 eggs
Help please no funny stuff!
The last one is
10,15
20,25
8,30
20,35
Answers
Answer:
the last one none over lap
which algebraic expression represents the total area of a cube each dimension of which is 1.5x
Answers
Answer:
okkkkkkkķkkkkkkkkkkkkk
Answer:
Step 1: Remove parentheses by multiplying factors.
= (x * x) + (1 * x) + (2 * x) + (2 * 1)
Step 2: Combine like terms by adding coefficients.
(x * x) = x2
(1 * x) = 1x
(2* x) = 2x
Step 3: Combine the constants.
(2 * 1) = 2
Step 4: Therefore, Simplifying Algebraic Expression is solved as
= x2 + 3x + 2.
Step-by-step explanation:
A cube is 3- dimensional shape with 6 equal sides, 6 faces, and 6 vertices in geometry. ... In 3 – dimension, the cube's sides are; the length, width, and height.