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SVEN [57.7K]
3 years ago
13

Ian runs a farm stand that sells blueberries and apples. Each pound of blueberries sells for $1.75 and each pound of apples sell

s for $2. Ian made $89.50 from selling a total of 46 pounds of blueberries and apples. Write a system of equations that could be used to determine the number of pounds of blueberries sold and the number of pounds of apples sold. Define the variables that you use to write the system.
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
5 0

x+y=46 and 1.75x+2y=89.50 can be used to determine the number of pounds of blueberries sold and the number of pounds of apples sold, where x represents the pounds of blueberries sold and y represents the pounds of apples sold.

Step-by-step explanation:

Cost of one pound of blueberries = $1.75

Cost of one pound of apples = $2

Total worth = $89.50

Total sold = 46 pounds.

Let,

x be the pounds of blueberries sold.

y be the pounds of apples sold

According to given statement;

x+y=46     Eqn 1

1.75x+2y=89.50   Eqn 2

x+y=46 and 1.75x+2y=89.50 can be used to determine the number of pounds of blueberries sold and the number of pounds of apples sold, where x represents the pounds of blueberries sold and y represents the pounds of apples sold.

Keywords: linear equation, variables

Learn more about variables at:

  • brainly.com/question/11150876
  • brainly.com/question/11175936

#LearnwithBrainly

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Please answer ASAP ❤️Will earn 15 points (hope your answers are valid )
svetoff [14.1K]

Answer:  The cost of one rose bush is $7 and the cost of one shrub is also $7

Step-by-step explanation:

The situtation can be represented by the systems of the equations.

10x + 4y  =  98   x in this case is the cost of  one rose bushes

9x + 9y =  126     y  is the cost of one shrub.  

Solve the system of equation using the elimination method.

10x +4y = 98

9x + 9y = 126     eliminate the y variable so you will have to multiply 9 on top                                          and -4 down.

9(10x +4) = (98)(9)

-4(9x + 9y) = 126(-4)

You will now have the new two systems of equations

90x +36y = 882

-36x +-36y = -504    Now add the equations

0  + 54x = 378      

        54x = 378

  x= 7

Now we know that the cost of one rose bush is 7 so we will plot it into one of the equations and solve for the cost of one shrub.

90(7) +36y=882

630 +36y = 882

-630            -630

    36y = 252

   y = 7

Check:  10(7) + 4(7)= 98

              70  + 28 = 98

             98= 98  

so one rose bush is actually 7 dollars the same as 1 shrub.

5 0
3 years ago
Molly earns a rebate each month on her movie tickets and books. She earns $0.25 for each movie ticket and $2 for each book. Last
stiv31 [10]

Answer:

8 books

Step-by-step explanation:

Earning for each ticket is $0.25 and for each book is $2

If total earning for 4 tickets and x books is $17, then the equation is:

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  • 1 + 2x = 17
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So Molly purchased 8 books

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3 years ago
What is the slope of the line shown below?
Ksivusya [100]
M = (8-2)/(4-2) = 3
Therefore the slope is 3 (D).
7 0
3 years ago
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Chapter 4: Explain how you can
xxTIMURxx [149]

x-intercept(s):  

( 7 , 0 )   , (-1,0)

y-intercept(s):  

(0,-7)

Step-by-step explanation:

3 0
2 years ago
John owns shares in a mutual fund and shares of individual stocks in his brokerage account. The Form 1099-DIV from the mutual fu
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Question options:

A. He should report them directly on form 1040

B. He should report them on form 8949 and then on schedule D

C. He should report them on schedule D

D. He is not required to report them until he sells the underlying securities

Answer:

B. He should report them on form 8949 and then on schedule D

Explanation:

John has shares which have capital gains from a mutual fund and a brokerage account. In order to report his taxes, he would need to use the Schedule D(form 1040) for his mutual fund capital gains and the form 8949 for his brokerage capital gains. The brokerage capital gains is then transferred to schedule D.

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