Question 1

Suppose Ingredient I is made up of 80% micoden and 20% water, Ingredient II is made up of 30% micoden, 60% bixon, and 10% water, and these ingredients are mixed together. How much micoden is in the mixture? Round to one decimal place, if required.  ​
__________ lb micoden

Accepted Answer

The answer of Suppose Ingredient I is made up of...

Question 2

Solve the system by graphing. ​  ​  ​

Accepted Answer

The answer of Solve the system by graphing. ​ ...

Question 3

A plane with a tail wind makes its 987-mile flight in 3 hours. The return flight against the wind takes a half hour longer. What is the wind speed? ​

Accepted Answer

The answer of A plane with a tail wind makes...

Question 4

The demand for a product varies from 100,000 units at $130 per unit to 250,000 at $40 per unit. Also, 150,000 could be supplied at $30 per unit, whereas only 250,000 could be supplied for $110 each. Find the equilibrium point for the system (p, n).

Accepted Answer

The answer of The demand for a product varies from...

Question 5

A collection of coins has a value of $4.89. There is the same number of nickels and dimes but seven fewer pennies than nickels or dimes. How many pennies are in the collection if there are 86 coins?
​
__________ pennies

Accepted Answer

The answer of A collection of coins has a value...

Question 6

How many gallons of 27% butterfat cream must be mixed with 500 gallons of 3% butterfat milk to obtain a 7% butterfat milk?
​
__________ gallons of 27% butterfat cream.

Accepted Answer

The answer of How many gallons of 27% butterfat cream...

Question 7

You have a 24% silver alloy and some pure silver. How much of each must be mixed to obtain 100 oz of 43% silver? ​

Accepted Answer

The answer of You have a 24% silver alloy and...

Question 8

Suppose Ingredient I is made up of 40% micoden and 60% water, Ingredient II is made up of 30% micoden, 10% bixon, and 60% water, and these ingredients are mixed together. What is the percentage of water in mixture below?  __________%

Accepted Answer

The answer of Suppose Ingredient I is made up of...

Question 9

Solve the system by graphing. ​  ​  ​

Accepted Answer

The system has one solution, which can be found at the point of intersection of the two lines. By graphing the two equations, it is clear that they intersect at one point, so the system is consistent and has a unique solution. Therefore, the answer is D.

Question 10

Solve the system by the substitution method. ​  ​

Accepted Answer

The answer of Solve the system by the substitution method....

Question 11

You have a 48% silver alloy and some pure silver. How much of each must be mixed to obtain 100 oz of 61% silver?
​
__________ oz of silver and __________ oz of alloy

Accepted Answer

The answer of You have a 48% silver alloy and...

Question 12

The box contains twenty-five more dimes than nickels. How many of each type of coin is there if the total value is $6.40?
​
__________ nickels __________ dimes

Accepted Answer

The answer of The box contains twenty-five more dimes than...

Question 13

How many gallons of 26% butterfat cream must be mixed with 300 gallons of 2% butterfat milk to obtain a 6% butterfat milk? ​

Accepted Answer

Let's assume that we need x gallons of 26% butterfat cream to be mixed with 300 gallons of 2% butterfat milk.

The total amount of butterfat in the final mixture can be calculated as:
(0.26x + 0.02(300)) / (x + 300) = 0.06

Solving this equation for x, we get:
x = 60 gallons

Therefore, we need 60 gallons of 26% butterfat cream to be mixed with 300 gallons of 2% butterfat milk to obtain 360 gallons of 6% butterfat milk.

Hence, the answer is D, 60 gallons.

Question 14

Solve the system by the substitution method. ​  ​

Accepted Answer

The answer of Solve the system by the substitution method....

Question 15

A collection of coins has a value of $4.12. There is the same number of nickels and dimes but four fewer pennies than nickels or dimes. How many pennies are in the collection if there are 74 coins? ​

Accepted Answer

Given there are 74 coins in total and the same number of nickels and dimes, but four fewer pennies than either nickels or dimes, we can set up an equation to solve for the number of each type of coin. Let x represent the number of nickels, which is equal to the number of dimes, and x-4 represent the number of pennies. The total number of coins is then 2x + (x-4) = 74, solving for x gives us 26 nickels, 26 dimes, and 22 pennies.

Question 16

A certain item has a linear supply curve  and a linear demand curve  , where p is the price and n is the number of items. What is the equilibrium point (p, n)?

Accepted Answer

The answer of A certain item has a linear supply...

Question 17

An after-shave lotion is 40% alcohol. If you have 15 fluid ounces of the lotion, how much water must be added to reduce the mixture to 30% alcohol?
​
__________ ounces of water

Accepted Answer

The answer of An after-shave lotion is 40% alcohol. If...

Question 18

Solve the system by the addition method. ​  ​

Accepted Answer

The answer of Solve the system by the addition method....

Question 19

Suppose Ingredient I is made up of 40% micoden and 60% water, Ingredient II is made up of 10% micoden, 30% bixon, and 60% water, and these ingredients are mixed together. What is the percentage of water in mixture below?

Accepted Answer

The answer of Suppose Ingredient I is made up of...

Question 20

A plane with a tail wind makes its 1,440-mile flight in 4 hours. The return flight against the wind takes a half hour longer. What is the wind speed? Round to one decimal place, if required.
​
__________ mph

Accepted Answer

The answer of A plane with a tail wind makes...

Quiz 16: The Nature of Mathematical Systems

Suppose Ingredient I is made up of 80% micoden and 20% water, Ingredient II is made up of 30% micoden, 60% bixon, and 10% water, and these ingredients are mixed together. How much micoden is in the mixture? Round to one decimal place, if required. __________ lb micoden

Solve the system by graphing.

A plane with a tail wind makes its 987-mile flight in 3 hours. The return flight against the wind takes a half hour longer. What is the wind speed?

The demand for a product varies from 100,000 units at $130 per unit to 250,000 at $40 per unit. Also, 150,000 could be supplied at $30 per unit, whereas only 250,000 could be supplied for $110 each. Find the equilibrium point for the system (p, n).

A collection of coins has a value of $4.89. There is the same number of nickels and dimes but seven fewer pennies than nickels or dimes. How many pennies are in the collection if there are 86 coins? __________ pennies

How many gallons of 27% butterfat cream must be mixed with 500 gallons of 3% butterfat milk to obtain a 7% butterfat milk? __________ gallons of 27% butterfat cream.

You have a 24% silver alloy and some pure silver. How much of each must be mixed to obtain 100 oz of 43% silver?

Suppose Ingredient I is made up of 40% micoden and 60% water, Ingredient II is made up of 30% micoden, 10% bixon, and 60% water, and these ingredients are mixed together. What is the percentage of water in mixture below? __________%

Solve the system by graphing.

Solve the system by the substitution method.

You have a 48% silver alloy and some pure silver. How much of each must be mixed to obtain 100 oz of 61% silver? oz of silver and oz of alloy

The box contains twenty-five more dimes than nickels. How many of each type of coin is there if the total value is $6.40? nickels dimes

How many gallons of 26% butterfat cream must be mixed with 300 gallons of 2% butterfat milk to obtain a 6% butterfat milk?

Solve the system by the substitution method.

A collection of coins has a value of $4.12. There is the same number of nickels and dimes but four fewer pennies than nickels or dimes. How many pennies are in the collection if there are 74 coins?

A certain item has a linear supply curve and a linear demand curve , where p is the price and n is the number of items. What is the equilibrium point (p, n)?

An after-shave lotion is 40% alcohol. If you have 15 fluid ounces of the lotion, how much water must be added to reduce the mixture to 30% alcohol? __________ ounces of water

Solve the system by the addition method.

Suppose Ingredient I is made up of 40% micoden and 60% water, Ingredient II is made up of 10% micoden, 30% bixon, and 60% water, and these ingredients are mixed together. What is the percentage of water in mixture below?

A plane with a tail wind makes its 1,440-mile flight in 4 hours. The return flight against the wind takes a half hour longer. What is the wind speed? Round to one decimal place, if required. __________ mph

Quiz 16: The Nature of Mathematical Systems

Suppose Ingredient I is made up of 80% micoden and 20% water, Ingredient II is made up of 30% micoden, 60% bixon, and 10% water, and these ingredients are mixed together. How much micoden is in the mixture? Round to one decimal place, if required. ​ __________ lb micoden

Solve the system by graphing. ​ ​ ​

A plane with a tail wind makes its 987-mile flight in 3 hours. The return flight against the wind takes a half hour longer. What is the wind speed? ​

The demand for a product varies from 100,000 units at $130 per unit to 250,000 at $40 per unit. Also, 150,000 could be supplied at $30 per unit, whereas only 250,000 could be supplied for $110 each. Find the equilibrium point for the system (p, n).

A collection of coins has a value of $4.89. There is the same number of nickels and dimes but seven fewer pennies than nickels or dimes. How many pennies are in the collection if there are 86 coins? ​ __________ pennies

How many gallons of 27% butterfat cream must be mixed with 500 gallons of 3% butterfat milk to obtain a 7% butterfat milk? ​ __________ gallons of 27% butterfat cream.

You have a 24% silver alloy and some pure silver. How much of each must be mixed to obtain 100 oz of 43% silver? ​

Suppose Ingredient I is made up of 40% micoden and 60% water, Ingredient II is made up of 30% micoden, 10% bixon, and 60% water, and these ingredients are mixed together. What is the percentage of water in mixture below? __________%

Solve the system by graphing. ​ ​ ​

Solve the system by the substitution method. ​ ​

You have a 48% silver alloy and some pure silver. How much of each must be mixed to obtain 100 oz of 61% silver? ​ __________ oz of silver and __________ oz of alloy

The box contains twenty-five more dimes than nickels. How many of each type of coin is there if the total value is $6.40? ​ __________ nickels __________ dimes

How many gallons of 26% butterfat cream must be mixed with 300 gallons of 2% butterfat milk to obtain a 6% butterfat milk? ​

Solve the system by the substitution method. ​ ​

A collection of coins has a value of $4.12. There is the same number of nickels and dimes but four fewer pennies than nickels or dimes. How many pennies are in the collection if there are 74 coins? ​

A certain item has a linear supply curve and a linear demand curve , where p is the price and n is the number of items. What is the equilibrium point (p, n)?

An after-shave lotion is 40% alcohol. If you have 15 fluid ounces of the lotion, how much water must be added to reduce the mixture to 30% alcohol? ​ __________ ounces of water

Solve the system by the addition method. ​ ​

Suppose Ingredient I is made up of 40% micoden and 60% water, Ingredient II is made up of 10% micoden, 30% bixon, and 60% water, and these ingredients are mixed together. What is the percentage of water in mixture below?

A plane with a tail wind makes its 1,440-mile flight in 4 hours. The return flight against the wind takes a half hour longer. What is the wind speed? Round to one decimal place, if required. ​ __________ mph

Suppose Ingredient I is made up of 80% micoden and 20% water, Ingredient II is made up of 30% micoden, 60% bixon, and 10% water, and these ingredients are mixed together. How much micoden is in the mixture? Round to one decimal place, if required. __________ lb micoden

Solve the system by graphing.

A plane with a tail wind makes its 987-mile flight in 3 hours. The return flight against the wind takes a half hour longer. What is the wind speed?

A collection of coins has a value of $4.89. There is the same number of nickels and dimes but seven fewer pennies than nickels or dimes. How many pennies are in the collection if there are 86 coins? __________ pennies

How many gallons of 27% butterfat cream must be mixed with 500 gallons of 3% butterfat milk to obtain a 7% butterfat milk? __________ gallons of 27% butterfat cream.

You have a 24% silver alloy and some pure silver. How much of each must be mixed to obtain 100 oz of 43% silver?

Solve the system by graphing.

Solve the system by the substitution method.

You have a 48% silver alloy and some pure silver. How much of each must be mixed to obtain 100 oz of 61% silver? oz of silver and oz of alloy

The box contains twenty-five more dimes than nickels. How many of each type of coin is there if the total value is $6.40? nickels dimes

How many gallons of 26% butterfat cream must be mixed with 300 gallons of 2% butterfat milk to obtain a 6% butterfat milk?

Solve the system by the substitution method.

A collection of coins has a value of $4.12. There is the same number of nickels and dimes but four fewer pennies than nickels or dimes. How many pennies are in the collection if there are 74 coins?

An after-shave lotion is 40% alcohol. If you have 15 fluid ounces of the lotion, how much water must be added to reduce the mixture to 30% alcohol? __________ ounces of water

Solve the system by the addition method.

A plane with a tail wind makes its 1,440-mile flight in 4 hours. The return flight against the wind takes a half hour longer. What is the wind speed? Round to one decimal place, if required. __________ mph