answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
frez [133]
2 years ago
8

A can factory requires 2 sheets of metal to make 36 cans and 10 sheets of metal to make 180 cans. The proportionality constant b

etween the number of cans made and the number of sheets of metal used is
Mathematics
2 answers:
Fudgin [204]2 years ago
6 0

Answer:

its the world of 18 guys

Step-by-step explanation:

Mkey [24]2 years ago
5 0
From the statement above, we can say that there is a direct relationship between the number of sheets used to the number of cans that can be made. That is, # of sheets is directly proportional to # of cans. We make an equation as follows:

let y = # of sheets
     x = # of cans

y = kx      where k is the proportionality constant

Assuming linear relationship of the two, we can use either data point as follows:

y = kx
2 = k(36)
k = 1/18

Therefore, the proportionality constant is 1/18.
You might be interested in
Sean has 15,000 to invest she will put some of it into a fund that pays 4.5% annual interest in the rest in a certificate of dep
DENIUS [597]

Answer:$12500 was invested into the account that pays 4.5% annual interest..

$2500 was invested into the the certificate of deposit that pays 1.8% annual interest..

Step-by-step explanation:

Let x represent the amount invested into the account that pays 4.5% annual interest.

Let y represent the amount invested into the certificate of deposit that pays 1.8% annual interest.

Sean has 15,000 to invest. She will put some of it into a fund that pays 4.5% annual interest and the rest in a certificate of deposit that pays 1.8% annual interest. This means that

x = y + 15000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

Considering the account earning 4.5% interest, the interest would be

I = (x × 4.5 × 1)/100 = 0.045x

Considering the account earning 11% interest, the interest would be

I = (x × 1.8 × 1)/100 = 0.018y

if she wants to earn 4.05% annual interest on the total amount, the amount would be

4.05/100 × 15000 = 607.5

Therefore,

0.045x + 0.018y = 607.5 - - - - - - - - - - -1

Substituting x = 15000 - y into equation 1, it becomes

0.045(15000 - y) + 0.018y = 607.5

675 - 0.045y + 0.018y = 607.5

- 0.045y + 0.018y = 607.5 - 675

- 0.027y = - 67.5

y = - 67.5/- 0.027

y = $2500

x = 15000 - y = 15000 - 2500

x = $12500

6 0
2 years ago
The graph shows the level of ibuprofen, y units, in a patient’s bloodstream x hours after the ibuprofen was taken. Select the co
ElenaW [278]

The graph is missing, so i have attached it.

Answer:

From 0 hours to 2 hours.

Step-by-step explanation:

From the attached graph, we can see that on the y-axis, denotes the level of ibuprofen in the patient’s bloodstream while the x-axis denotes the amount of hours after the ibuprofen was taken.

Now, looking at the graph, we can see that the curve goes up from a time of 0 hours which corresponds to 0 mg of ibuprofen to a time of 2 hours which corresponds to 400 mg of ibuprofen.

After that point, the curve begins to to go down. Since we are concerned with increase, we will make do with the first statement.

Thus, we can say the period at which the level of ibuprofen increased was from 0 hours to 2 hours.

6 0
2 years ago
In a statewide soccer competition, 36 games were played. Each team participating in the competition played once with every other
Tomtit [17]

Answer:

9 teams

Step-by-step explanation:

If the total games played was 36 and no team played each other twice, we need to ensure there isn't any double counting.

36 = (n-1) + (n-2) + (n-3) ... + (n-(n-1))

using this knowledge, we can then count up:

1+2+3+4+5+6+7+8 = 36

If our highest number is 8, then we know there must be 9 teams, because no team can play themselves.

8 0
2 years ago
Read 2 more answers
What is 4.75 as an improper fraction in simplest form
jek_recluse [69]
4.75 = 4 75/100 =
 = 475/100 = ( we can divide numerator and denominator by 25 ) = 19/4
Answer:
4.75 as an improper fraction in simplest form is 19/4.
8 0
2 years ago
Read 2 more answers
A pentagonal prism is cut by a plane perpendicular to the base. What is the shape of the cross section that is formed?
nasty-shy [4]
<span>If it is a right prism, then the cross-section area will be considered a rectangle. Each lateral face will be perpendicular to the base, and if we cut the plane it will be perpendicular to the bases and the resulting angles of the cross-section would all be simply right angles. 
Hence,
The best Answer would be third Option: A RECTANGLE.

</span>
4 0
2 years ago
Read 2 more answers
Other questions:
  • Adam is using the equation (x)(x + 2) = 255 to find two consecutive odd integers with a product of 255. When Adam solves the pro
    10·2 answers
  • The polynomial x3 + 64 is an example of a
    14·2 answers
  • If 36 sqrt2 - 24 sqrt2 = sqrtN, what is N?
    11·2 answers
  • The enrollment in college a may be modeled by y = 0.051x + 0.470, and the enrollment in college b may be modeled by y = –0.041x
    9·1 answer
  • A student wants to arrange four points to form a rectangle on a grid. She has already placed points at (-4. 4). (-4, 8). and (4,
    13·1 answer
  • Yesterday Allen's heart beat 100,000 times. On average, how many times did it beat in a six-hour period yesterday?
    12·2 answers
  • Suppose a continuous probability distribution has an average of μ=35 and a standard deviation of σ=16. Draw 100 times at random
    10·1 answer
  • Thirty-four college students were asked how much money they spent on textbooks for the current semester. Their responses are sho
    9·1 answer
  • The caller times at a customer service center has an exponential distribution with an average of 22 seconds. Find the probabilit
    9·1 answer
  • The tables represent the functions f(x) and g(x). A table showing g(x) equals 2 x plus 15 with 2 columns and 7 rows. The first c
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!