Answers
Given:
The increase in pressure P is the linear function of the depth d.
[tex]P(d)=0.445d+14.7[/tex]
The cost of dinner is $300 and $10 per students.
To find:
The initial value and rate of change and their interpretation.
Find the cost function C where n is the number of students.
Solution:
The slope intercept form of a linear function is
[tex]f(x)=mx+b[/tex] ...(i)
where, m is rate of change and b is y-intercept or initial value.
We have,
[tex]P(d)=0.445d+14.7[/tex] ...(ii)
From (i) and (ii), we get
[tex]m=0.445,b=14.7[/tex]
The initial value is 14.7. It means, the pressure at sea level is 14.7 pounds psi.
Rate of change is 0.445. It means, the pressure is increasing by 0.445 pounds psi for every feet.
The cost of dinner is $300 and $10 per students.
Let C(n) be the total cost for dinner and n be the number of students.
Fixed cost = $300
Additional cost for 1 student = $10
Additional cost for n student = $10n
Now,
Total cost = Fixed cost + Additional cost
[tex]C(n)=300+10n[/tex]
Therefore, the required cost function is [tex]C(n)=300+10n[/tex].
Related Questions
The table shown below lists the prices of the same cell phone at several stores and
the discounts that will be applied upon purchase.
Answers
Answer:
Store B
Step-by-step explanation:
Store A: $80
Store B: $79.20
Store C: $79.80
Store D: $81
If a1 = 4 and an -4an-1 then find the value of an.
Answers
-4an - 1
-4an -(4)
an 1
Joe's dad sold a motorcycle he bought two years ago for $1500 he sold it for 40% of the amount he originally paid for it Thayer regional cost is X write an expression that shows the sales price of a motorcycle
Your help is greatly appreciated!
Answers
Answer:
x = $1500 x 0.40
Step-by-step explanation:
This is how you find 40 percent of the original cost sorry If this isn't what you were looking for :(
someone help me please
Answers
Answer:
4
Step-by-step explanation:
fdhtrh56
write 358.41 ×10^5 in standard form
Answers
Answer:
3.5841 x 10^7
Step-by-step explanation:
Answer:
35841000
Step-by-step explanation:
Move comma to right by five places and that includes this. 41 and after that just add zeros to fullfill that ^5
Find the values of a and b such that x^2-2x+2=(x-a)^2+b
Answers
Answer:
a = 1, b = 1
Step-by-step explanation:
Expand the right side and compare the coefficients of like terms on both sides, that is
right side
(x - a)² + b ← expand factor using FOIL
= x² - 2ax + a² + b
Compare to left side x² - 2x + 2
Compare the coefficients of the x- term
- 2a = - 2 ( divide both sides by - 2 )
a = 1
Compare the constant terms
a² + b = 2 ( substitute a = 1 )
1² + b = 2
1 + b = 2 ( subtract 1 from both sides )
b = 1
Thus a = 1, b = 1
Mal needs to memonze words on a vocabulary for Korcan classShe has memorized 16 of the words, which is one-fourth of the . How many words are on the list
Answers
Answer:
64
Step-by-step explanation:
if 16 is 1/4 of the list then multiply 16 by 4
16×4=64
Shelia buys flower bulbs from a catalog $2 each and $4 shipping charge for the whole order. She spends $20 on flower bulbs. The model can be used to describe x, the number of bulbs Shelia can order. Write an equation to determine the number of bulbs Shelia can order. How many bulbs did she order?
Answers
Answer:
8 bulbs
Step-by-step explanation:
Step one:
Given data
Shelia buys flower bulbs from a catalog for $2 each and $4 shipping charge for the whole order
we are told that the total money spent is $20
let the number of bulbs ordered be x, and the total money spent be y
the equation for the situation is
y=2x+4
for a total amount of $20, we want to find x
20=2x+4
20-4=2x
16=2x
divide both sides by 2
x= 16/2
x= 8 bulbs
Grace started her own landscaping business. She charges $6 an hour for mowing lawns and $11 for pulling weeds. In September she mowed lawns for 63 hours and pulled weeds for 9 hours. How much money did she earn in September? *
Answers
Answer:
$477
Step-by-step explanation:
63.6=378
11.9=99
378+99=477
What’s the Slope of the Line Passing Through (2,5) And (-1,8)
Answers
Answer:
[tex]\displaystyle m=-1[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (2, 5)
Point (-1, 8)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]\displaystyle m=\frac{8-5}{-1-2}[/tex][Frac] Subtract: [tex]\displaystyle m=\frac{3}{-3}[/tex][Frac] Divide: [tex]\displaystyle m=-1[/tex]Answer please: Hector bought 45 tiles to make a patio. How many different ways can he arrange the tiles to make the patio?
(plz answer and plz help!!!! plzzzzzzzzzzzzzzzzzzzzzzzzz!!!)
Answers
Answer:
Again, 3.
Step-by-step explanation:
5. Lines s and t intersect as shown in the picture. Which pair of angles are vertical?
A. angle 7 and angle 10
B. angle 9 and angle 10
C. angle 8 and angle 10
D. angle 7 and angle
Answers
Answer: angle 7 and angle 10
Step-by-step explanation: trust me its correct
Answer:
The right answer is 9 and 10. It is not 7 and 10 because if you can see one of the arrows for 10 is shorter than the arrow next to it for angle 7.
9 and 10 have one straight line that it is on than both share the short arrow.
Find −110÷11 need help
Answers
Answer:
-110/11= -10
Step-by-step explanation:
-110 divided by 11 is -10 and to double check -10 times 11 is -110
Can you anser number 9
Answers
Answer:
[tex]x = \frac{367}{3}[/tex]
[tex]y = \frac{173}{3}[/tex]
Step-by-step explanation:
Equations
Let's call
x = measure of angle 1
y = measure of angle 2
The angles are supplementary, thus their sum is 180°:
x + y = 180 [1]
It's also known that one angle (x) is 7° more than twice the other (y), thus:
x = 7+ 2y [2]
Substituting [2} in [1]:
7+ 2y + y = 180
Operating:
7+ 3y = 180
Subtracting 7:
3y = 180 - 7 = 173
Dividing by 3:
[tex]y = \frac{173}{3}[/tex]
And:
[tex]x = 7+ 2*\frac{173}{3}[/tex]
[tex]x = \frac{367}{3}[/tex]
Derrick plays football. During practice the ratio of quarterbacks to wide receivers is 5:12. If there were 36 wide receivers, how many quarterbacks would there be?
Answers
Answer:
I believe there would be 15.
Step-by-step explanation:
well 12×3=36
5×3=15 so 15:36
Find the nth term of
1,4,7,10,13,16
which is the correct answer
n+3
3n+1
3n-2
3n+2
Answers
(a) n+3......................
seventh term is 19
eight term is 22
nine term is 25
HELP PLS I HAVE TO FINISH THIS IN 20 MINUTES PLS HELP!!!!!
Answers
Answer:
answer is b
Step-by-step explanation:
the dot filled in means that its equal to 12 and above
when it's not filled it means that its not equal to 12
Classify the quadrilateral. Parallel sides are indicated with arrows.
trapezoid
parallelogram
rhombus
rectangle
Answers
Answer:
it's a parallelogram
Step-by-step explanation:
hope it helped you..
Jason and his children went into a grocery store and will buy bananas and mangos. Each banana costs $0.90 and each mango costs $2. Jason has a total of $25 to spend on bananas and mangos. Write an inequality that would represent the possible values for the number of bananas purchased, bb, and the number of mangos purchased, m.m.
Answers
Answer:
25 ≥ 0.90b + 2m
Step-by-step explanation:
Given:
Cost of each banana = $0.90
Cost of each mango = $2
Total amount = $25
Find:
Inequality
Computation:
Assume;
Number of banana = b
Number of mango = m
Total amount ≥ Cost of total banana + Cost of total mango
25 ≥ 0.90b + 2m
Ali wants to make bracelets to sell at a craft fair. She borrows money from her sister to
buy beads and cord. Ali spends $8.00 on supplies. At the craft fair, Ali makes $17.00
selling her bracelets. How much money does Ali have after she pays back her sister?
Answers
Answer:
She has 9.00 left
Step-by-step explanation:
She borrowed 8.00 then she made 17.00 then you subtract 17.00 - 8.00 and get 9.00
I need help please!!!
Answers
Answer:
The answer is C. 200 miles.
Step-by-step explanation:
Answer:
200 miles
Step-by-step explanation:
This is where both cars intercept
if the median of data Carranged
in acending order 31, 33, 35,Xxx Mo,
48, 48, 50 is 40 then find value of
X
Answers
Answer:
35
Step-by-step explanation:
If the median of data (arranged in ascending order) 31,33,35,x,x+10,48,48,50 is 40,then find value of x.
Solution:
The median of a data is the middle number after the numbers from the data have been arranged either from least to greatest or from greatest to least. For an even number of data, the median is the average of the middle two numbers.
The data arranged in ascending order is:
31,33,35,x,x+10,48,48,50
SInce the data has an even number (8), the median is the average of the middle two numbers.
Median = average of x and x + 10
[x + (x + 10)] / 2 = median
[x + (x + 10)] / 2 = 40
x + x + 10 = 80
2x + 10 = 80
2x = 70
x = 70/2
x = 35
Plsss help 3333
Find tan0
Answers
Answer:
Step-by-step explanation:
The straight line 2x + 3y = 7 meets the curve
xy + 10 = 0 at the points P and Q. Calculate the
gradient of the curve at P and at Q.
Answers
Step-by-step explanation:
xy + 10 = 0. => y = -10/x.
2x + 3y = 7. => 3y = -2x + 7, y = -2/3 x + 7/3.
When -10/x = -2/3 x + 7/3,
-10 = -2/3 x² + 7/3 x, 2/3 x² - 7/3 x - 10 = 0.
=> 2x² - 7x - 30 = 0
=> (2x + 5)(x - 6) = 0
=> x = -2.5 or x = 6.
dy/dx = d/dx [-10/x] = 10/x².
When x = -2.5, dy/dx = 10 / (-2.5)² = 1.6.
When x = 6, dy/dx = 10 / (6)² = 5/18.
Hence the gradients at the points are 1.6 and 5/18.
Simplify the following expression
Answers
Answer:
w`16
Step-by-step explanation:
I think it right
PLEASE help !!! I’m struggling and I suck at math. Can someone answer this for me? For points and brainly !
Answers
Answer:
2230
Step-by-step explanation:
subtract 48 from 2212 which will be 2164 and then add 66 to 2164 and then you get 2230
Answer:
[tex]\huge\boxed{2329 \ \text{pounds}}[/tex]
Step-by-step explanation:
In order to solve this equation, let's see what we already know.
We know two points on the graph which we can use to find the slopeThat's about it.
However, this can come useful to find the slope between the two points, which is the slope for the entire graph (since this is linear). The slope between two points is usually defined as [tex]\frac{\Delta y}{\Delta x}[/tex] (change in y / change in x). Our two points are (18, 2017) and (48, 2212).
The change in y between our two points is [tex]2212-2017 = 195[/tex], and the change in x is [tex]48 - 18 = 30[/tex]. Our slope will then be [tex]\frac{195}{30}[/tex], which comes out to be approximately 6.5. Therefore, our slope is 6.5.
Now that we know the slope, we can substitute inside our equation in slope intercept form.
[tex]y = 6.5x+b[/tex]
We have yet to find b, the y-intercept (how much the plane itself weighs). To find b, we can substitute a point on the graph into the equation and solve for b. We know that the point (18, 2017) is on the graph so let's use that.
[tex]2017 = 6.5 \cdot18 + b[/tex] [tex]2017 = 117 + b[/tex] [tex]1900= b[/tex]Now that we know our y-intercept is 1900, we can create our equation by using the slope and the y-intercept.
[tex]y=6.5x+1900[/tex]
Finally, to find the weight of the plane with 66 pounds of fuel, we can substitute 66 inside this equation as x.
[tex]y = 6.5 \cdot66+ 1900[/tex] [tex]y = 429+1900[/tex] [tex]y=2329[/tex]So the plane weighed 2329 pounds with 66 gallons of fuel.
Hope this helped!
HELP PLS
Solve for x
x=[?]
3x + 2 6x - 20
Answers
Step-by-step explanation:
Remember that the sum of angles on a straight line are supplementary. (180°)
Therefore 3x + 2 + 6x - 20 = 180.
=> 9x - 18 = 180
=> 9x = 198
=> x = 22.
Kaitlin is going for a walk. She was at a speed of 3 miles per hour for 7.5 miles. For how many hours does she walk?
Answers
Answer: 2.5 miles
Step-by-step explanation:
if Kaitlin walks with 3 miles/hour, for 7.5 miles
7.5/3=2.5 miles -
Answer:
2.5 Hours
Step-by-step explanation:
I think
It's 2.something
Adam divides 32 divided by 8,032 In which place should he write the first digit of the quotient?
A.Ones
B. Tens
C. Hundreds
D. Thousands
Answers
Answer:
100
Step-by-step explanation:
8032\32
Answer:
251
Step-by-step explanation:
32 divided by 8032 =251
HELP HELP HELP HELP!!!!!!!!!!!!
Answers
Answer:
y-7 hope it helps your welcome