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
Luba_88 [7]
2 years ago
9

Marcus purchase 3 pounds of apples in 4 pounds of strawberries for a total of $12.50 Shannon purchase 5 pounds of apples in 1 po

und of strawberries for a total of $13.75 right and solve a system of equations that can be used to find the cost of 1 pound of apples in 1 pound of strawberries
Mathematics
2 answers:
JulsSmile [24]2 years ago
8 0

Answer:

<em>1 pound of apple costs $2.50</em>

<em>1 pound of strawberries costs $1.25</em>

Step-by-step explanation:

<u>System of Equations</u>

Let's define the following variables:

x = cost of 1 pound of apples

y = cost of 1 pound of strawberries

.........................................

Marcus purchased 3 pounds of apples and 4 pounds of strawberries for a total of $12.50. Thus:

3x + 4y = 12.50       [1]

Shannon purchased 5 pounds of apples and 1 pound of strawberries for a total of $13.75, thus:

5x + y = 13.75       [2]

We need to solve the system of the equations [1] and [2].

Solving for y in [2]:

y = 13.75 - 5x       [3]

Substituting in [1]

3x + 4(13.75 - 5x) = 12.50

Operating:

3x + 55 - 20x = 12.50

-17x = -55 + 12.50 = -42.50

Dividing by -17:

x = -42.50/(-17)

x = 2.5

Substituting in [3]:

y = 13.75 - 5*2.5

y = 1.25

Solution:

1 pound of apple costs $2.50

1 pound of strawberries costs $1.25

Gala2k [10]2 years ago
4 0

Answer:

Step-by-step explanation:

1. 3x+4y=12.5

  5x+1y=13.75

You might be interested in
Rewrite in simplest radical form 1 over x^(−3/6). Show each step of your process.
meriva

\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\\\ ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}}

\bf \rule{34em}{0.25pt}\\\\ \cfrac{1}{x^{-\frac{3}{6}}}\implies x^{\frac{3}{6}}\implies x^{\frac{1}{2}}\implies \sqrt[2]{x^1}\implies \sqrt{x}

5 0
3 years ago
Rick eats 8 burgers and has 563 leftover how many did he have to begin with
Alex73 [517]
563+8=571 burgers to start with
3 0
3 years ago
Read 2 more answers
Match the description with the key term it represents. 1. Binder containing transcripts, diplomas, recommendations, etc. portfol
BARSIC [14]

Answer:

1. portfolio

2. résumé

3. online portfolio

3 0
3 years ago
Please help!! I have to find x and y!!
GarryVolchara [31]

Answer:

X= 17.5

Step-by-step explanation:

the outside of the triangle always = 180

so you need to add up all the sides and equal to 180

5x+35+x+5+2x=180

add like terms

8x+40=180

get the x alone

x=17.5

3 0
3 years ago
A quadratic equation is shown below:
lys-0071 [83]
16x^2 − 8x + 1 = 0

<span>Part A: 
</span>b^2 - 4ac for ax^2 + bx + c

16x^2 − 8x + 1 = 0
so in this case,
a = 16,  b = -8, c = 1

b^2 - 4ac
=(-8)^2 - (4 * 16* 1)
= 64 - 64
= 0
because it's equal 0, answer is one solution

Part B:

<span>4x^2 − 8x − 45 = 0
</span><span>solve the equation by factoring </span> 
= (2x - 9)(2x + 5)

set (2x - 9)(2x + 5) equal to 0 to solve for x
so
(2x - 9)(2x + 5) = 0
2x - 9 = 0
  x = 9/2
  x = 4.5

2x + 5 = 0
  x = -5/2
  x = -2.5
answer
x = -2.5 or x = 4.5

Hope it helps



5 0
3 years ago
Other questions:
  • Question is in the screenshot
    14·1 answer
  • How many square inches are in 60 square feet?
    11·2 answers
  • A soccer team is having a car wash.The team spent $55 on supplies and earned $275,including tips. The teams's profit is the amou
    8·1 answer
  • Which equation is the inverse of y = 100 – x2? y = plus-or-minus StartRoot 100 minus x EndRoot y = 10 plus-or-minus StartRoot x
    8·2 answers
  • What Is 9 5/7 - 3 6/7 equals too? ANSWER FAST!!!!!!!
    9·1 answer
  • Can someone plz help me on this plz I beg u plz
    10·1 answer
  • Rewrite as a log: y=7^x
    13·2 answers
  • What is 9+10 <br>what is 9+10​
    7·2 answers
  • HELP PLZZZZZZZZZZZZZZZZZZZZ
    14·1 answer
  • What is the area of this parallelogram?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!