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topjm [15]
3 years ago
13

On Monday, Jackie bought 5 1/2 kg of bird seed. She used 2 2/3 on her blue jays and 1/4 for her wrens. How many kilograms of bir

dseed did Jackie have left? Write One or more equations to show how you reached your answer.
Mathematics
1 answer:
nadya68 [22]3 years ago
3 0

Answer:

4 18/12 - (2 8/12+ 3/12)= 2 7/12

Step-by-step explanation:

First you want to know that you want to subtract the bird seed Jackie got (2 2/3 and 1/4) by the total Jackie bought (5 1/2).

Now set up the equation as 5 1/2 - (2 2/3+ 1/4). Now you need to realize that the fractions are not the same and need to be changed to similar denominators. 2 can be changed to any even denominator so it matters less to what we change it to, so let's focus on the bird seed Jackie used and convert it. 2/3 and 1/4 can be changed into 12's so multiply on the numerator and denominator to get these values. 2/3 would then become 8/12 and 1/4 would become 3/12. 1/2 would then also become 6/12.

Now that we have changed the fractions you want to change the expression to 5 6/12 - (2 8/12+ 3/12). Now add the values in the parentheses to get 5 6/12 - (2 11/12). Now to make this easier add more 12's to 5 6/12 by putting it to 4 18/12. the new equation will be 4 18/12 - 2 11/12, finally subtract from from the same types of numbers: 4-2= 2 18/12-11/12= 7/12. The answer would be 2 7/12.

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A lawyer has found 60 investors for a limited partnership to purchase an inner-city apartment building, with each contributing e
Mars2501 [29]

Answer:

1.  The lawyer has 34 investors that contribute with $3,000 and has 26 investors that contribute with $6,000.

2. The jar has 26 nickels and 44 dimes that worth $5.70.

3. The concession stand has sold 1600 sodas and 1400 hotdogs

Step-by-step explanation:

For all the problems we are going to follow the same process that will consist on 1. Define the variables. 2. Formulate the system of two linear equations 3. Solve by the elimination method 4. Give the answer.

  • First problem.

- Variables:

x = number of investors that contribute with $3,000

y = number of investors that contribute with $6,000

- System of equations.

First equation will be the result of adding the number of investors that will give us a total of 60 investors then:

x + y = 60

Second equation is the result of multypling the number of investors by its invest and adding between them to get the $258,000 they have raised:

3,000x + 6,000y = 258,000

The system will be:

x + y = 60

3,000x + 6,000y = 258,000

- Solve by the elimination method.

To cancel x we are going to multiply by -3000 in both sides of the first equation and we will leave the second equation the same but in the first row to make easier the calculations then:

3,000x + 6,000y = 258,000

(x + y ) (-3,000) = 60 (-3,000) <em>   solve the multiplications </em>

3,000x + 6,000y = 258,000

<u>-3,000x - 3,000y = -180,000 </u><em>   solve the operations</em>

0 + 3,000y = 78,000     <em>clear y</em>

y = \frac{78,000}{3,000}    <em>solve the division</em>

y = 26

For calculate x, replace the y value in the first equation and solve it

x + 26 = 60

x = 60 - 26

x = 34

- Answer

The lawyer has 34 investors that contribute with $3,000 and has 26 investors that contribute with $6,000.

  • Second problem

- Variables:

x = number of nickels

y = number of dimes

- System of equations.

First equation will be the result of adding the number of nickels and dimes that will give us a total of 70 coins in the jar then:

x + y = 70

Second equation is the result of multypling the number of coins by its value and adding between them to get the $5.70 that the jar worth:

0.05x + 0.1 y = 5.70

The system will be:

x + y = 70

0.05x + 0.1 y = 5.70

- Solve by the elimination method.

To cancel x we are going to multiply by -0.05 in both sides of the first equation and we will leave the second equation the same but in the first row to make easier the calculations then:

0.05x + 0.1 y = 5.70

(x + y ) (-0.05) = 70 (-0.05) <em>   solve the multiplications </em>

0.05x + 0.1 y = 5.70

<u>-0.05x - 0.05y = -3.50 </u><em>   solve the operations</em>

0 + 0.05y = 2.20     <em>clear y</em>

y = \frac{2.20}{0.05}    <em>solve the division</em>

y = 44

For calculate x, replace the y value in the first equation and solve it

x + 44 = 70

x = 70 - 44

x = 26

- Answer

The jar has 26 nickels and 44 dimes that worth $5.70.

  • Third problem.

- Variables:

x = number of sodas sold by $2

y =  number of hotdogs sold by $3

- System of equations.

First equation will be the result of adding the number of sodas and hotdogs that is of 3000 then:

x + y = 3000

Second equation is the result of multypling the number of sodas and hotdogs by its price and adding between them to get the $7400 of the receipts:

2x + 3y = 7400

The system will be:

x + y = 3000

2x + 3y = 7400

- Solve by the elimination method.

To cancel x we are going to multiply by -2 in both sides of the first equation and we will leave the second equation the same but in the first row to make easier the calculations then:

2x + 3y = 7400

(x + y ) (-2) = 3000 (-2) <em>   solve the multiplications </em>

2x + 3y = 7400

<u>-2x - 2y = -6000 </u><em>   solve the operations</em>

0 + 1y = 1400     <em>clear y</em>

y = \frac{1400}{1}    <em>solve the division</em>

y = 1400

For calculate x, replace the y value in the first equation and solve it

x + 1400 = 3000

x = 3000 - 1400

x = 1600

- Answer

The concession stand has sold 1600 sodas and 1400 hotdogs

6 0
3 years ago
Julio has $40.00 to rent bikes for himself and a friend for 5 hours. Each bike
tia_tia [17]

Step-by-step explanation: if its asking  how much money he spends in total you multiply

$3.25 x 5 = 16.25

4 0
3 years ago
Read 2 more answers
Need help on this please
uranmaximum [27]
7/8% is .875 as a decimal.
4 0
3 years ago
Read 2 more answers
E: f= 3:7<br> f:g= 2:3<br> Work out e:g<br><br> Give your answer in its simplest form.
Alisiya [41]

Answer:

what?

Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
How many terms are there in the following expression? x - 5 + 16x + 4 - 2x - 3
k0ka [10]

Answer:

Two terms

Step-by-step explanation:

First, we have to simplify reducing the number of terms, since there are like terms

x-5+16x+4-2x-3

Eventually, you'll get 15x-4,  thus there are two terms.

Please correct me if I'm incorrect, and I'll change the answer, but I hope I helped :)

3 0
3 years ago
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