Question 1

Solve the system:

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Question 2

Two types of chickens,A and B,are raised in a chicken coop.Each day they receive 1.4 kilograms of corn and 2.4 kilograms of millet.Each chicken of type A requires 100 grams of corn and 150 grams of millet.Each chicken of type B requires 60 grams of corn and 120 grams of millet.How many of each type of chicken will the corn and millet support so that all of the food is consumed each day? Use a graphing calculator to solve the system by finding the point of intersection of the two equations.

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Question 3

A retired couple has $500,000 invested in two bond funds that earn 5% and 7%.If the total yearly income from the investments is $30,000,how much is invested at each rate?

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Question 4

Solve the system:

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Question 5

Two species of fish,A and B,are raised in one pond at a fish farm where they are fed two vitamin supplements.Each day they receive 100 grams of the first supplement and 200 grams of the second supplement.Each fish of species A requires 20 mg of the first supplement and 30 mg of the second supplement.Each fish of species B requires 10 mg of the first supplement and 40 mg of the second supplement.How many of each species of fish will the pond support so that all of the supplements are consumed each day? Use elimination by substitution to solve the systems.

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Question 6

A hobby store packages mixtures of different beads for sale.From wood beads,glass beads,and metal beads,the owner wants to prepare a mixture which will sell for $4.20 for a 200 count bag.The cost per bead of these beads is $0.01,$0.03,and $0.05,respectively.The number of wooden beads is to be four times the number of metal beads.How many of each type of bead will be in the final package?

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Question 7

A pharmacist has two solutions that contain different concentrations of the same medication.One solution contains a 12% concentration of the medication and the other contains a 7% concentration.How many cubic centimeters of each should she mix to obtain 40 cc of an 8% concentration?

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Question 8

A nut shop packages mixtures of different nuts for sale.From peanuts,cashews and almonds,the owner wants to prepare a mixture which will sell for $4.45 for a 1 pound bag.The cost per pound of these nuts is $1.50,$6.00,and $4.00,respectively.The amount of peanuts is to be three times the amount of almonds.How much of each type of nut will be in the final blend?

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Question 9

Two species of deer,A and B,living in a wildlife refuge are given extra food in the winter.Each week they receive 3.5 tons of food pellets and 7 tons of hay.Each deer of species A requires 4 pounds of the pellets and 8 pounds of hay.Each deer of species B requires 2 pounds of the pellets and 4 pounds of hay.How many of each species of deer will the food support so that all of the food is consumed each week? Use a graphing calculator to graph both of your equations at the same time.What do you notice about the graphs?

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Question 10

A young family with two children has $40,000 saved for college costs,with part invested at 12% and part invested at 8%.If the total yearly income from the investments is $3400,how much is invested at each rate?

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Question 11

Solve the following questions algebraically:

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Question 12

Two species of monkey,A and B,live in one enclosure at the zoo where they are fed two vitamin supplements.Each day they receive 350 grams of the first supplement and 500 grams of the second supplement.Each monkey of species A requires 25 g of the first supplement and 10 g of the second supplement.Each monkey of species B requires 15 g of the first supplement and 30 g of the second supplement.How many of each species of monkey will the enclosure support so that all of the supplements are consumed each day?

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Question 13

Solve the system:

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Question 14

Two species of monkey,A and B,live in one enclosure at the zoo where they are fed two vitamin supplements.Each day they receive 350 grams of the first supplement and 700 grams of the second supplement.Each monkey of species A requires 25 g of the first supplement and 50 g of the second supplement.Each monkey of species B requires 15 g of the first supplement and 30 g of the second supplement.How many of each species of monkey will the enclosure support so that all of the supplements are consumed each day?

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Question 15

A business woman has $300,000 of profits from her office supply company invested in two investments.One has a yearly return of 6% and the other has a yearly return of 7%.If the total yearly income from the investments is $19,300,how much is invested at each rate?

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Question 16

A swimming pool owner has two solutions which contain different concentrations of chlorine.One is a 5% solution and the other is a 10% solution.How many liters of each should she mix to obtain 8 liters with a 6% concentration?

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The answer of A swimming pool owner has two solutions...

Question 17

Two types of chickens,A and B,are raised in a chicken coop.Each day they receive 1.4 kilograms of corn and 2.8 kilograms of millet.Each chicken of type A requires 100 grams of corn and 200 grams of millet.Each chicken of type B requires 60 grams of corn and 120 grams of millet.How many of each type of chicken will the corn and millet support so that all of the food is consumed each day?

Accepted Answer

The answer of Two types of chickens,A and B,are raised...

Question 18

A chemist has two solutions that contain different concentrations of hydrochloric acid.One is a 20% concentration and the other is a 12% concentration.How many cubic centimeters of each should he mix to obtain 100 cc with a concentration of 15.2%?

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Question 19

Two species of fish,A and B,are raised in one pond at a fish farm where they are fed two vitamin supplements.Each day they receive 100 grams of the first supplement and 200 grams of the second supplement.Each fish of species A requires 15 mg of the first supplement and 30 mg of the second supplement.Each fish of species B requires 20 mg of the first supplement and 40 mg of the second supplement.How many of each species of fish will the pond support so that all of the supplements are consumed each day? Use a graphing calculator to graph both of your equations at the same time.What do you notice about the graphs?

Accepted Answer

The answer of Two species of fish,A and B,are raised...

Question 20

One solution of the system  is x = 1 and y = 1.Another solution is
A)  , y = - 
B)  , y = - 
C)  , y = - 
D) x = 1, y = -1
E) x = 0, y = 0

Accepted Answer

The answer of One solution of the system  is...

Quiz 4: Lines parabolas and Systems

Solve the system:

A retired couple has $500,000 invested in two bond funds that earn 5% and 7%.If the total yearly income from the investments is $30,000,how much is invested at each rate?

Solve the system:

A pharmacist has two solutions that contain different concentrations of the same medication.One solution contains a 12% concentration of the medication and the other contains a 7% concentration.How many cubic centimeters of each should she mix to obtain 40 cc of an 8% concentration?

A young family with two children has $40,000 saved for college costs,with part invested at 12% and part invested at 8%.If the total yearly income from the investments is $3400,how much is invested at each rate?

Solve the following questions algebraically:

Solve the system:

A business woman has $300,000 of profits from her office supply company invested in two investments.One has a yearly return of 6% and the other has a yearly return of 7%.If the total yearly income from the investments is $19,300,how much is invested at each rate?

A swimming pool owner has two solutions which contain different concentrations of chlorine.One is a 5% solution and the other is a 10% solution.How many liters of each should she mix to obtain 8 liters with a 6% concentration?

A chemist has two solutions that contain different concentrations of hydrochloric acid.One is a 20% concentration and the other is a 12% concentration.How many cubic centimeters of each should he mix to obtain 100 cc with a concentration of 15.2%?

One solution of the system is x = 1 and y = 1.Another solution is