A school pays $1,825 for 150 shirts. This includes the $25 flat-rate shipping cost.
a. What equation models the total cost as a function of the number of T-shirts
ordered?
b. What does each variable represent?
c. What are the initial value and rate of change of the function? What does each
one represent?

Answers

Answer 1

Answer:

a)

We know that the total cost for the 150 shirts (plus a flat-rate of $25) is $1,825.

First, let's find how much costs each shirt.

First, the total cost of the shirts alone (neglecting the flat-rate) is:

$1,825 - $25 = $1,800

Then each shirt costs equal to the quotient of the cost and the number of shirts:

$1,800/150 = $12

Each shirt costs $12.

Then if you order T shirts, the total cost will be the flat-rate of $25 plus T times $12. The equation is:

C(T) = $25 + T*$12

b) C represents the cost

   T represents the number of shirts ordered.

c) The initial value is the constant value, in this case, is $25

The rate of change is the coefficient that multiplies the independent variable (T), in the equation the rate of change is $12.


Related Questions

who wants points and brainlist..........

Answers

Answer:

53.87 because 4 cant round the 6

Step-by-step explanation:

Answer:

53.87

Step-by-step explanation:

4 cannot round the 6

50.26 to nearest hundredth

Answers

Answer:

it's already in the hundredths place

Step-by-step explanation:

.1 <- tens place

.01<- hundredths place

.001<-thousands place

Find the sum, if it exists, of the infinite geometric series S= 1/181 + 1/27+ 1/9+….

a)S= 1/54

b)S=1/9

c)S=1/6

d)This infinite geometric series diverges.

Answers

Answer:

S∞=12. Explanation: Formula for sum of infinite geometric series is. S∞=a11−r ; −1<r<1. We have a geometric series ...

Step-by-step explanation:

That's it hope it helps.^^

#carryonlearning

A silo has a cylindrical part and a roof that is a hemisphere.
The radius of the cylinder is 3m and its height is 12m.
Find the volume of the silo.

Answers

Answer:

339.29

Step-by-step explanation:

Use formula for cylinder: [tex]V=\pi r^2h[/tex].

Note: I rounded to the nearest hundreth.

please check screenshot

Answers

Answer:

Domain: {-2, -1, 0, 1, 2, 3}

Range: {-5, -3, -1, 1, 3, 5}

Step-by-step explanation:

The domain is the set containing all the x-coordinates, and the range is the set containing all the y-coordinates.

Domain: {-2, -1, 0, 1, 2, 3}

Range: {-5, -3, -1, 1, 3, 5}

Luther bought a juice box shaped like a rectangular prism. The juice box is 4 inches tall, 3 inches wide, and 1.5 inches deep. Each cubic inch of the juice box holds 0.55 fluid ounces of strawberry-kiwi punch.
How many fluid ounces of punch does the juice box hold?

Answers

L*W*H gets you 18 cubic inches and is each holds 0.55 fluid ounces then that gets you a total of 9.9 fluid ounces

I need help on this question

Answers

Answer:

well first figure out the area of the parallelograms and divide the full area by the area of the pieces.

Step-by-step explanation:

12. You are measuring the height of a Sitka spruce tree in Alaska. You stand 45 feet from the base of
the tree. You measure the angle of elevation from a point on the ground to the top of the tree
to be 59º. Estimate the height of the tree.

Answers

Answer:

tangent 59° = Tree height / 45 feet

Tree Height = 1.6643 * 45

Tree Height = 74.8935 Feet

Step-by-step explanation:

A tire has a circumference of 69.1 inches. To the nearest inch, which is the diameter
of the tire?

Answers

Answer:

22 inches

Step-by-step explanation:

so to find the diameter you divide the circumference by pi(3.14)

69.1÷3.14=22.006

now rounding that you get 22

use the information given to find the value of n in each of the following sets of number​

Answers

Answer:

No picture try uploading it again and I can see if I can help you

Multiplying by which number is equivalent to finding 15%?

Answers

.15 is your answer, seeing as .15 is equivalent to 15%

Answer:

The answer is still 15. Because

The number is × which is 0.so it is still 15%

Please help with these questions. Write answer for 19 and 20 thank you

Answers

Answer: It let me add an answer!! For number 19. The answer is y > 3x - 3. And for number 20. The answer is y is less than or equal to 1/2x + 1

Have a nice day! :)

if u subtract 12 from a number and multiply the result by 12 you get 18. what is the number​

Answers

Answer:

27/2 is the value of the number.

Let the number be x.

According to the question,

12(x-12)=18

x-12=18/12

x-12=3/2

x=3/2+12

x=3/2+24/2

x=27/2

HOPE IT HELP :)

Answer:

13.5    27/2      13 (1/2)   all the same

Step-by-step explanation:

(x-12)x12  = 18

12x-144 = 18

12x = 162

x = 162/12 = 27/2  = 13(1/2) = 13.5

What is the horizontal asymptote of j (x) = StartFraction 14 x cubed + 45 Over 2 x cubed + x + 9 EndFraction

Answers

Answer:

C. y=7

Step-by-step explanation:

guy above me was right

The horizontal asymptote of the given function  [tex]f(x) = \dfrac{14x^{3} +45}{2x^{3}+x+9}[/tex]  would be y = 7.

When do we get horizontal asymptote for a function?

The line y = a is a horizontal asymptote if the function f(x) tends to 'a' from the upside of that line y = a, or from downside of that line.

The given function is

[tex]f(x) = \dfrac{14x^{3} +45}{2x^{3}+x+9}[/tex]

We need to determine the horizontal asymptote.

Horizontal asymptote;

From the given function, it is obvious that the denominator's degree is smaller than the numerator's degree.

Then, the horizontal asymptote is the y-axis.

Thus, the horizontal asymptote is y = 7.

Learn more about horizontal asymptotes here:

https://brainly.com/question/2513623

#SPJ2

what is the value of x? i need the work for it as well thank you so much!

Answers

the answer would be x=19

Answer:

x=19

Step-by-step explanation:

okay so all those angles there are pretty simple. because of the vertical angles theorem, the angles that go across from each other are equal to each other. On a thing like this those intersections are congruent. So knowing this we can assume that (6x+4)=118. so if you solve the basic algebra for that (you can use mathpapa or smt if you really need the work for that) then it comes out as x=19 which you can check.

6x+4=118

subtract 4 from both sides

6x=114

divide by 6 on both sides

x=19

Hope this helps!

Please help me with this!!!!!!!!!!!!!!! MATHHHHHH

Answers

I can’t see anything on the screen

pls help me on this !!!!!!!!!!!

Answers

Answer:

11.8 m

Step-by-step explanation:

2/3πr^3=1100π

r^3=1650

r=11.8

A cone has a radius of 2 centimeters and a height that is 24 cm. Using 3.14 for pi, which of the following can
be used to calculate the volume of the cone?

Answers

Answer:

option 3

Step-by-step explanation:

[tex]volume = \frac{1}{3} \pi r^2 h = \frac{1}{3} \times 3.14 \times 2^2 \times 24[/tex]

If the principal is $4,500 and the rate of interest is 8%, what is the amount of interest after one year? Formula is I =PRT

Answers

Step-by-step explanation:

I=?

P= $4500

R=8%=0.08

T=1 year

8%*0.01= 0.08

I=(4500)(0.08)(1)

(4500)(0.08)=360

360*1=360

The interest after one year is $360

A class has 12 boys and 16 girls. The teacher needs to pick two volunteers. What is the probability that she chooses a girl given that she chose a boy first? All answers should be given as a fraction in simplest form!
Any help is appreciated!

Answers

Answer:

16/27

Step-by-step explanation:

12 boys and 16 girls

She already chose a boy so now there are (11+16) = 27 possible outcomes

There are 16 favorable outcomes(girl)

so the fraction is 16/27

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

BRAINLISTTTT
What is the simple interest on a $3,750 loan at a rate of 5% per year after 5 years?
a. $4,697.50
b. $13,125.00
c. $9,375.00
d. $937.50

Answers

Answer:

d.937.50

Step-by-step explanation:

After each year it adds 5% so 5x5 is 25%

25% of $3,750 is $937.50

hope this helps :)

There's a 90° triangle. The other two angles are 30° and 60°. The shortest line is nine the longest line is C. It's asking what sea is in simplest radical form

Answers

Answer:

C = 18

Step-by-step explanation:

There's a 90° triangle. The other two angles are 30° and 60°. The shortest line is nine the longest line is C. It's asking what is C is in simplest radical form

Solution:

A triangle is a shape with three sides and three angles. Types of triangle are right angled, isosceles, scalene, obtuse, acute.

The length of the side in a triangle is directly proportional to the opposite angle (angle facing the side).

A right angled triangle is a triangle with one angle equals to 90 degrees.

Since the shortest line is 9, the angle facing the shortest line is the smallest angle. The longest line is the hypotenuse which is given as C. Trigonometric identities shows the relationship between the sides of a triangle and its angles, hence:

sin30 = 9 / C

0.5 = 9 / C

C = 9/0.5

C = 18

Which equation represents the word sentence shown below?

The quotient of a number band 0.3 equals negative 10.

Answers

Answer:

where are the equations?

Step-by-step explanation:

tell me and I will edit my answer to answer ur question

Answer:

Step-by-step explanation:

5 (x + 8) = -10 what's the answer ​

Answers

Answer:

x = - 10

Step-by-step explanation:

5(x + 8) = - 10

5x + 40 = - 10

5x + 40 - 40 = - 10 - 40

5x = - 50

5x ÷ 5 = - 50 ÷ 5

x = - 10

Sweet onions are on sale for $0.79 per pound. If an onion weighs 8 oz, how much does it cost to buy 5 onions?

Answers

The answer is 3.95
I just times 79 x 5

Answer:

a pound is 16 oz. so 2 onions are a pound. meaning 5 onions equal 2 1/2 pounds.

2.5 × 0.79 = $1.975 (about $1.98)

plz plz help me for math

Answers

Answer:

Oasis idiot and a good time in the day before

Please help I'm failing

Answers

Answer:

Unit rate!

Step-by-step explanation:

A unit rate is a rate that has a denominator of 1!

~ LadyBrain

please help in this........​

Answers

Helloo!

I founded same type of question from Brainly! People who have been written this solving questions. Also search and check for this question on Brainly!! Or my advice to download course hero because there is so many subjects that you can work on it.

The distance between D(-3,5) and E(x, 9) is 15. Find the value(s) of the
missing coordinate.

Answers

9514 1404 393

Answer:

  x ≈ -17.457  or  11.457

Step-by-step explanation:

The distance formula can help.

  d = √((x2 -x1)² +(y2 -y1)²)

Substituting given values, we have ...

  15 = √((x -(-3))² +(9 -5)²)

  225 = (x +3)² +16 . . . . . . . . square both sides

  209 = (x +3)² . . . . . . . . . . . subtract 16

  ±√209 = x +3 . . . . . . . . . take the square root

  -3 ± √209 = x . . . . . . . . subtract 3

  x ≈ -17.457  or  11.457

HELP ME OUT GUYS!!!! Question is in the screenshot below.

Answers

Answer:

87.55 [tex]cm^2[/tex]

Step-by-step explanation:

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