1answer.
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
KatRina [158]
3 years ago
6

Nola purchased 2.5 pounds of cheese for $10.50. Her mother purchased 3 pounds of the same cheese for $12.60. The cost of cheese

varies directly with the number of pounds purchased. Complete the equations for direct variation and tell how much one pound of cheese costs.
Mathematics
2 answers:
spayn [35]3 years ago
8 0

12.6-10.5=2.1(1.5 pounds) 2.1 divided by 3 = 0.7x2= 1.4 Therefore one pound of cheese is £1.40
sergeinik [125]3 years ago
5 0

Answer:

The cost of one pound of the cheese is $4.2 .

The equation for direct variation is y = kx.

Where k is constant of variation .

Step-by-step explanation:

Let us assume that the pound of cheese be x.

Let us assume that the cost of cheese be y.

As given

The cost of cheese varies directly with the number of pounds purchased.

Thus

y\propto x

y = kx

Where k is the constant of variation.

Nola purchased 2.5 pounds of cheese for $10.50.

y = 10.50 , x = 2.5

Put in the y = kx

10.50 = 2.5k

k = \frac{10.50}{2.5}

k = 4.2

Her mother purchased 3 pounds of the same cheese for $12.60.

y = 12.60 , x = 3

Put in the y = kx

12.60 = 3k

k = \frac{12.60}{3}

k = 4.2

Therefore the constant of variation is 4.2 .

As given

One pound of cheese costs.

x = 1 , k = 4.2

Put in the  y = kx

y = 1 × 4.2

  = $4.2

Therefore the cost of one pound of the cheese is $4.2 .

You might be interested in
Is 58 a prime or composite number
Nata [24]
58 is a composite number because it has more than 3 factors.
Composite numbers are numbers that has 3 or more factors.
Prime numbers are numbers that only has 2 factors.
3 0
3 years ago
There are 8 brooms in a janitors closet . What is the ratio of the number of mops to the number of brooms
wariber [46]

Answer:

the actual answer is 3/7

Step-by-step explanation:

3 0
3 years ago
Find a general solution of y" + 4y = 0.
klio [65]

Answer:

y(x)=C_{1}cos2x+C_{2}sin(2x)

Step-by-step explanation:

It is a linear homogeneous differential equation with constant coefficients:

y" + 4y = 0

Its characteristic equation:

r^2+4=0

r1=2i

r2=-2i

We use these roots in order to find the general solution:

y(x)=C_{1}cos2x+C_{2}sin(2x)

8 0
3 years ago
PLEASE HELP I've been struggling on this one :(
In-s [12.5K]

Answer: The answer is (x+2)(x-4)(x-4)
Or as a short form you can write it as
(x+2) (x-4)^{2}

Step-by-step explanation:

Answer is very lengthy but I am 100% sure that's the correct answer

6 0
1 year ago
Read 2 more answers
a party rental company has chairs and tables for rent. the total cost to rent 3 chairs and 2 tables is $26. the total cost to re
Alexus [3.1K]
Let the cost of renting a chair be x and for renting a table be y than 5x + 3y = 31 and 2x + 6y = 52 2x+ 6y = 52 can be further simplified to x + 3y = 26 now try solving for x and y... best of luck:D
5 0
3 years ago
Read 2 more answers
Other questions:
  • A company announces that it will be giving 15% of its profits to charity. If the company profits $32000, how much money will it
    6·1 answer
  • If f(x-1) = 2x+3 for all values of x, what is the value of f(-3)?
    5·1 answer
  • Here is another math question 9 hours is greater than or less than or equal to 450 minutes
    14·1 answer
  • 336 oz equals to ho manylbs
    14·2 answers
  • Can someone help me please .
    8·1 answer
  • Taci makes birthday cards using sheet of paper for each card. How many cards can she make using 12 sheets of paper?
    6·2 answers
  • NEED HELP ASAP PLEASE!!!!!!!!!
    13·2 answers
  • I’ll give brainiest
    13·2 answers
  • ) B. Communicate Precisely LaTanya wants to place
    15·1 answer
  • Ellen is currently twice as old as Maria, but in 6 years, Maria will be 2/3 as old as Ellen. How old is Ellen now?​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!