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
Advocard [28]
3 years ago
12

Help!!!

Mathematics
1 answer:
Crank3 years ago
7 0

Using a system of equations, it is found that:

  • Each pound of strawberry cost $3.
  • Each pound of grape cost $1.25.
  • Each pound of melon costs $4.75.

--------------------

For our system, we have that:

  • x is the cost of a pound of strawberry.
  • y is the cost of a pound of grape.
  • z is the cost of a pound of melon.

Three pounds of  strawberries, five pounds of grapes, and one pound of melon at a cost of $20.

This means that:

3x + 5y + z = 20

z = 20 - 3x - 5y

Three pounds of strawberries, two pounds of grapes, and two pounds of melon at a cost of $21.

This means that:

3x + 2y + 2z = 21

3x + 2y + 2(20 - 3x - 5y) = 21

3x + 2y + 40 - 6x - 10y = 21

3x + 8y = 19

Four pounds of strawberries, three pounds of grapes, and three pounds of melon  at a cost of $30.

This means that:

4x + 3y + 3z = 30

4x + 3y + 3(20 - 3x - 5y) = 30

4x + 3y + 60 - 9x - 15y = 30

5x + 12y = 30

For x and y, the system is:

3x + 8y = 19

5x + 12y = 30

Multiplying by 5 and -3, we get:

15x + 40y = 95

-15x - 36y = -90

Then, adding them:

4y = 5

y = \frac{5}{4}

y = 1.25

Each pound of grape cost $1.25.

Solving for x:

5x + 12y = 30

5x + 12(1.25) = 30

5x = 15

x = \frac{15}{5}

x = 3

Each pound of strawberry cost $3.

Finally, for z:

z = 20 - 3x - 5y

z = 20 - 3(3) - 5(1.25)

z = 4.75

Each pound of melon costs $4.75.

A similar problem is given at brainly.com/question/17096268

You might be interested in
Find the perimeter of the windowb25cm. Round your answer to the nearest tenth.
Setler79 [48]

Answer:

6.2

Step-by-step explanation:

First divide 25 by 4, you get 6.25, then round up. I am not sure if this is entirely right, the question is a little confusing.

6 0
3 years ago
How to solve (512) in a radical expression 1/3
katrin2010 [14]
<span> The exponent is negative so we factor out -1:
</span>
5 0
3 years ago
What are measures of central tendency
DaniilM [7]

Answer:

Is a Mean, Median and Mode

Is also a summary statistics that presents the center point or typical value off a dataset.

5 0
3 years ago
Read 2 more answers
The product of x and 8 is greater than or equal to -28.
Delvig [45]

Answer:

x≥3.5

Step-by-step explanation:

8x ≥-28

x≥-28/8

x≥-3.5

3 0
3 years ago
Which expression is equal to zero? 9 + (– 27) ÷ (– 3)
GrogVix [38]

Answer:

-27÷(-3)-9

=0

Step-by-step explanation:

Hope this helps you.

4 0
3 years ago
Other questions:
  • How we'd use a clinometer to measure the height of a building
    6·1 answer
  • Let n = 5.
    15·2 answers
  • A walker is already walking 5km per day and decides to increase this amount by 0.1km per day starting on 1st August.
    6·1 answer
  • Factor this expression completely.<br><br> 18xy − 9wy − 12y
    15·1 answer
  • * WILL GIVE BRAINLIEST FOR CORRECT ANSWER *
    9·1 answer
  • What is 0.044 as a fraction
    15·2 answers
  • 5,000 is invested for 14 years with an apr of 5% and monthly compounding
    7·1 answer
  • Ignore a and b i need help on c
    5·2 answers
  • (5x + 17)<br> L<br> +(2x + 10)<br> K
    9·2 answers
  • F(2) = 4(2)² +4 (2) -2
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!