Question 1

A wire 160 cm long is to be cut into two pieces so that one piece is three times as long as the other. Find the length of each piece.
Short piece: __________ cm
Long piece: __________ cm

Accepted Answer

The answer of A wire 160 cm long is to...

Question 2

A hospital has a 2%-saline solution and an 8%-saline solution on hand. How much of each should be used to prepare 3,600 cm ³ of 7%-saline solution? Amount of 2%-saline solution: __________ cm ³ Amount of 8%-saline solution: __________ cm ³

Accepted Answer

The answer of A hospital has a 2%-saline solution and...

Question 3

A sporting goods store carries two types of snorkels. One sells for $24.75 and the other for $25.25. Records for July show that 39 snorkels were sold, for $972.25. How many of each type were sold?
Number of $24.75 snorkels sold: __________
Number of $25.25 snorkels sold: __________

Accepted Answer

The answer of A sporting goods store carries two types...

Question 4

A rectangle length is four times as long as it is wide. Its perimeter is 450 cm. Find the length and the width of the rectangle.
Length: __________ cm
Width: __________ cm

Accepted Answer

The answer of A rectangle length is four times as long...

Question 5

A supply duct is to run the perimeter of a building having a length four times the width. The total duct length is 730 ft. What are the dimensions of the building?
A) The width is 63 ft,
The length is 302 ft.
B) The width is 73 ft,
The length is 292 ft.
C) The width is 83 ft,
The length is 282 ft.
D) The width is 292 ft,
The length is 73 ft.
E) The width is 43 ft,
The length is 322 ft.

Accepted Answer

Let's assume the width of the building is x, then the length of the building will be 4x.
The total length of the duct = perimeter of the building = 2(length + width)
Therefore, 2(4x + x) = 730
Simplifying it, we get:
10x = 365
x = 36.5
The width of the building is 36.5 ft and the length is 4x = 146 ft.
Therefore, the correct answer is B.

Question 6

An experienced welder makes $\frac { 5 } { 2 }$ as many welds as a beginning welder. If an experienced welder and a beginning welder complete 210 welds, how many were from the experienced welder and how many from the beginning welder?
A) A beginning welder makes 150,
An experienced welder makes 60.
B) A beginning welder makes 90,
An experienced welder makes 120.
C) A beginning welder makes 60,
An experienced welder makes 150.
D) A beginning welder makes 50,
An experienced welder makes 160.
E) A beginning welder makes 70,
An experienced welder makes 140.

Accepted Answer

Let the number of welds made by a beginning welder be $x$. Therefore, an experienced welder makes $\frac{5}{2}x$ welds. The total welds made by both is $x + \frac{5}{2}x = \frac{7}{2}x = 210$. Solving for $x$ gives $x = 60$, so the beginning welder makes 60 welds and the experienced welder makes $150$ welds ($\frac{5}{2} \times 60$).

Question 7

How much of a 2% solution and a 12% solution would you use to make 500mL of a10%-electrolyte solution?
Amount of 2% solution: __________ mL
Amount of 12% solution: __________ mL

Accepted Answer

The answer of How much of a 2% solution and...

Question 8

In testing a hybrid engine, various mixtures of gasoline and methanol are being tried. How much of a 90%-gasoline mixture and how much of an 80%-gasoline mixture would be needed to make 260 gal of an 85%-gasoline mixture?
Amount of 90%-gasoline mixture: __________ gal
Amount of 80%-gasoline mixture: __________ gal

Accepted Answer

The answer of In testing a hybrid engine, various mixtures...

Question 9

A duct from a furnace forks into two ducts. The air coming into the two ducts two ducts was 2,800 cubic feet per minute. If the one duct took 400 cubic feet per minute more than the other duct, what was the flow in cubic feet per minute (cu ft/min) in each duct?
A) The flow is 1,100 cu ft/min in the first duct,
The flow is 1,900 cu ft/min in the second duct.
B) The flow is 1,900 cu ft/min in the first duct,
The flow is 900 cu ft/min in the second duct.
C) The flow is 1,600 cu ft/min in the first duct,
The flow is 1,200 cu ft/min in the second duct.
D) The flow is 1,700 cu ft/min in the first duct,
The flow is 1,100 cu ft/min in the second duct.
E) The flow is 1,550 cu ft/min in the first duct,
The flow is 1,250 cu ft/min in the second duct.

Accepted Answer

The answer of A duct from a furnace forks into...

Question 10

The walkway in front of an office building has a perimeter of 450 ft. If the length is four times the width, find the dimensions of the walkway.
A) The width is 45.5 ft,
The length is 179.5 ft.
B) The width is 50 ft,
The length is 175 ft.
C) The width is 45 ft,
The length is 180 ft.
D) The width is 60 ft,
The length is 165 ft.
E) The width is 180 ft,
The length is 45 ft.

Accepted Answer

Let the width be $w$ and the length be $4w$. The perimeter $P = 2l + 2w = 450$. Substituting the length gives $2(4w) + 2w = 450$, simplifying to $10w = 450$, so $w = 45$. The length is $4w = 180$.

Question 11

A farmer has a14%-solution and a 2%-solution of pesticide. How much of each must she mix to have 200 gal of a 8% solution for her sprayer?
Amount of 14%-solution used: __________ gal
Amount of 2%-solution used: __________ gal

Accepted Answer

The answer of A farmer has a14%-solution and a 2%-solution...

Question 12

A supply duct is to run the perimeter of a building having a length four times the width. The total duct length is 750 ft. What are the dimensions of the building?
Length: __________ ft
Width: __________ ft

Accepted Answer

The answer of A supply duct is to run the...

Question 13

A dairyman wants to make 252 lb of 15%-butterfat cream. How many pounds of 30%-butterfat cream and how many pounds of 3%-butterfat milk must he mix?
__________ pounds of 30%-butterfat cream
__________ pounds of 3%-butterfat milk

Accepted Answer

The answer of A dairyman wants to make 252 lb...

Question 14

A rectangle length is five times as long as it is wide. Its perimeter is 540 cm. Find the length and the width of the rectangle.
A) The width is 225 cm,
The length is 43 cm.
B) The width is 45 cm,
The length is 225 cm.
C) The width is 44 cm,
The length is 226 cm.
D) The width is 43 cm,
The length is 227 cm.
E) The width is 35 cm,
The length is 235 cm.

Accepted Answer

The perimeter of a rectangle is given by the formula 2(length + width). Let the width be x cm. Then, the length is 5x cm. The perimeter is 540 cm, so 2(x + 5x) = 540. Solving this equation gives x = 45 cm for the width and 5x = 225 cm for the length.

Quiz 9: Systems of Linear Equations

A wire 160 cm long is to be cut into two pieces so that one piece is three times as long as the other. Find the length of each piece. Short piece: cm Long piece: cm

A hospital has a 2%-saline solution and an 8%-saline solution on hand. How much of each should be used to prepare 3,600 cm ³ of 7%-saline solution? Amount of 2%-saline solution: cm ³ Amount of 8%-saline solution: cm ³

A sporting goods store carries two types of snorkels. One sells for $24.75 and the other for $25.25. Records for July show that 39 snorkels were sold, for $972.25. How many of each type were sold? Number of $24.75 snorkels sold: Number of $25.25 snorkels sold:

A rectangle length is four times as long as it is wide. Its perimeter is 450 cm. Find the length and the width of the rectangle. Length: cm Width: cm

A supply duct is to run the perimeter of a building having a length four times the width. The total duct length is 730 ft. What are the dimensions of the building?

An experienced welder makes $\frac { 5 } { 2 }$ as many welds as a beginning welder. If an experienced welder and a beginning welder complete 210 welds, how many were from the experienced welder and how many from the beginning welder?

How much of a 2% solution and a 12% solution would you use to make 500mL of a10%-electrolyte solution? Amount of 2% solution: mL Amount of 12% solution: mL

In testing a hybrid engine, various mixtures of gasoline and methanol are being tried. How much of a 90%-gasoline mixture and how much of an 80%-gasoline mixture would be needed to make 260 gal of an 85%-gasoline mixture? Amount of 90%-gasoline mixture: gal Amount of 80%-gasoline mixture: gal

A duct from a furnace forks into two ducts. The air coming into the two ducts two ducts was 2,800 cubic feet per minute. If the one duct took 400 cubic feet per minute more than the other duct, what was the flow in cubic feet per minute (cu ft/min) in each duct?

The walkway in front of an office building has a perimeter of 450 ft. If the length is four times the width, find the dimensions of the walkway.

A farmer has a14%-solution and a 2%-solution of pesticide. How much of each must she mix to have 200 gal of a 8% solution for her sprayer? Amount of 14%-solution used: gal Amount of 2%-solution used: gal

A supply duct is to run the perimeter of a building having a length four times the width. The total duct length is 750 ft. What are the dimensions of the building? Length: ft Width: ft

A dairyman wants to make 252 lb of 15%-butterfat cream. How many pounds of 30%-butterfat cream and how many pounds of 3%-butterfat milk must he mix? pounds of 30%-butterfat cream pounds of 3%-butterfat milk

A rectangle length is five times as long as it is wide. Its perimeter is 540 cm. Find the length and the width of the rectangle.

Quiz 9: Systems of Linear Equations

A wire 160 cm long is to be cut into two pieces so that one piece is three times as long as the other. Find the length of each piece. Short piece: __________ cm Long piece: __________ cm

A hospital has a 2%-saline solution and an 8%-saline solution on hand. How much of each should be used to prepare 3,600 cm 3 of 7%-saline solution? Amount of 2%-saline solution: __________ cm 3 Amount of 8%-saline solution: __________ cm 3

A sporting goods store carries two types of snorkels. One sells for $24.75 and the other for $25.25. Records for July show that 39 snorkels were sold, for $972.25. How many of each type were sold? Number of $24.75 snorkels sold: __________ Number of $25.25 snorkels sold: __________

A rectangle length is four times as long as it is wide. Its perimeter is 450 cm. Find the length and the width of the rectangle. Length: __________ cm Width: __________ cm