Question 1

Express the ratio in lowest terms. $39 \text { to } 33$

Accepted Answer

The answer of Express the ratio in lowest terms. \(39...

Question 2

The ratio of the voltage drops across two resistors wired in series equals the ratio of their resistances. Find the ratio of a 1,750- Ω resistor to a 700- Ω resistor.

Accepted Answer

The answer of The ratio of the voltage drops across...

Question 3

Draw a sketch for the problem and solve it.
A lever is in balance when a force of 1,600 g is placed 28 cm from a fulcrum. An unknown force is placed 16 cm from the fulcrum on the other side. What is the unknown force?
__________ grams

Accepted Answer

The answer of Draw a sketch for the problem and...

Question 4

Suppose 165 gal of oil flow through a feeder pipe in 5 min. Find the flow rate in gallons per minute.

Accepted Answer

A)  38 gal/min 
B)  66 gal/min 
C)  36 gal/min 
D)  34 gal/min 
E)  33 gal/min 
A)  38 gal/min 
B)  66 gal/min 
C)  36 gal/min 
D)  34 gal/min 
E)  33 gal/min

Question 5

Find the amount of pure ingredient needed to prepare the solution as indicated.
750 mL of 1 : 50 sodium bicarbonate solution from pure sodium bicarbonate
__________ mL

Accepted Answer

The answer of Find the amount of pure ingredient needed...

Question 6

Find the amount of pure ingredient needed to prepare the solution as indicated. 720 mL of 1 : 60 sodium bicarbonate solution from pure sodium bicarbonate

Accepted Answer

A)  9 mL 
B)  12 mL 
C)  11 mL 
D)  43,200 mL 
E)  17 mL 
A)  9 mL 
B)  12 mL 
C)  11 mL 
D)  43,200 mL 
E)  17 mL

Question 7

A hydraulic pump is driven with an electric motor(see figure below). The pump must rotate at 1,000 rpm. The pump is equipped with a 6.0-in.-diameter belt pulley. The motor runs at 1,500 rpm. What diameter pulley is required on the motor?

Accepted Answer

A)  3 in. 
B)  2 in. 
C)  4 in. 
D)  5 in. 
E)  10 in. 
A)  3 in. 
B)  2 in. 
C)  4 in. 
D)  5 in. 
E)  10 in.

Question 8

Find the flow rate for the given IV (intravenous), assume a drop factor of 15 drops/mL. Round your answer to the nearest whole number.
2 L in 7 h
__________ drops/minute

Accepted Answer

The answer of Find the flow rate for the given...

Question 9

Find the length of time an IV (intravenous) should be administered. (Assume a drop factor of 10 drops/mL.) Give your answer in hours and express part of an hour as a fraction.
560 mL at a rate of 40 drops/min

Accepted Answer

The answer of Find the length of time an IV...

Question 10

Use the formulas for the hydraulic press to find MA. r l = 20 in. and r s = 4 in.

Accepted Answer

A)  $\frac { 23 } { 1 }$ 
B)  $\frac { 25 } { 1 }$ 
C)  $\frac { 50 } { 1 }$ 
D)  $\frac { 15 } { 1 }$ 
E)  $\frac { 80 } { 1 }$ 
A)  $\frac { 23 } { 1 }$ 
B)  $\frac { 25 } { 1 }$ 
C)  $\frac { 50 } { 1 }$ 
D)  $\frac { 15 } { 1 }$ 
E)  $\frac { 80 } { 1 }$

Question 11

A large pulley turns at 60 rpm. A smaller pulley 6 in. in diameter turns at 400 rpm. What is the diameter of the larger pulley?

Accepted Answer

A)  21.5 in. 
B)  100 in. 
C)  43 in. 
D)  50 in. 
E)  40 in. 
A)  21.5 in. 
B)  100 in. 
C)  43 in. 
D)  50 in. 
E)  40 in.

Question 12

Calculate the values of x and y in the following table.   $\begin{array}{|l|l|l|l|}
\hline \text { Gear A } & &\text { Gear B } \
\hline \begin{array}{l}
\text { Number of } \
\text { teeth }
\end{array} & \text { rpm } & \begin{array}{l}
\text { Number of } \
\text { teeth }
\end{array} & \mathrm{rpm} \
\hline 10 & 100 & x & 125 \
\hline 260 & y & 50 & 520 \
\hline
\end{array}$

Accepted Answer

A)  x = 8, y = 25 
B)  x = 2, y = 200 
C)  x = 8, y = 100 
D)  x = 16, y = 200 
E)  x = 16, y = 25 
A)  x = 8, y = 25 
B)  x = 2, y = 200 
C)  x = 8, y = 100 
D)  x = 16, y = 200 
E)  x = 16, y = 25

Question 13

A 400 bu wagon holds 9.2 tons of grain. Express the weight of grain in pounds per bushel.

Accepted Answer

A)  45 lb/bu 
B)  43 lb/bu 
C)  92 lb/bu 
D)  51 lb/bu 
E)  46 lb/bu 
A)  45 lb/bu 
B)  43 lb/bu 
C)  92 lb/bu 
D)  51 lb/bu 
E)  46 lb/bu

Question 14

Express the ratio in lowest terms. $2 \mathrm {~cm} \text { to } 10 \mathrm {~mm}$

Accepted Answer

A)  $\frac { 2 } { 1 }$ 
B)  $\frac { 5 } { 1 }$ 
C)  $\frac { 10 } { 1 }$ 
D)  $\frac { 4 } { 1 }$ 
E)  $\frac { 1 } { 1 }$ 
A)  $\frac { 2 } { 1 }$ 
B)  $\frac { 5 } { 1 }$ 
C)  $\frac { 10 } { 1 }$ 
D)  $\frac { 4 } { 1 }$ 
E)  $\frac { 1 } { 1 }$

Question 15

Fill in the blanks.

$\begin{array}{l}
\hline { \text { Pulley A } }\quad\quad\quad\quad\quad\quad \text { Pulley B } \
\begin{array}{ | l | l | l | l | }

\hline \text { Diameter } & \mathrm{rpm} & \text { Diameter } & \mathrm{rpm} \
\hline  \mathrm{~in} & 625 &25 {\mathrm{in}} & 900 \
\hline 117 \mathrm{~cm} & 120 &  \mathrm{~cm} &180 \
\hline
\end{array}
\end{array}$

Accepted Answer

The answer of Fill in the blanks.

\(\begin{array}{l}
\hline { \text...

Question 16

Use the formulas for the hydraulic press to find F s . F l = 2,400 lb, r l = 4 in. and r s = 2 in.

Accepted Answer

A)  600 lb 
B)  1,200 lb 
C)  4 lb 
D)  300 lb 
E)  610 lb 
A)  600 lb 
B)  1,200 lb 
C)  4 lb 
D)  300 lb 
E)  610 lb

Question 17

One pulley is twice as large in diameter as a second pulley. If the larger pulley turns at 259 rpm, what is the rpm of the smaller?

Accepted Answer

A)  518 rpm 
B)  129.5 rpm 
C)  538 rpm 
D)  1,076 rpm 
E)  522 rpm 
A)  518 rpm 
B)  129.5 rpm 
C)  538 rpm 
D)  1,076 rpm 
E)  522 rpm

Question 18

Solve the proportion. Round the result to three significant digits when necessary. $\frac { 18 } { 20 } = \frac { 126 } { 2 x }$

Accepted Answer

A)  x = 69 
B)  x = 75 
C)  x = 70 
D)  x = 140 
E)  x = 67 
A)  x = 69 
B)  x = 75 
C)  x = 70 
D)  x = 140 
E)  x = 67

Question 19

Draw a sketch for the problem and solve it. A piece of machinery weighs 5 tons. It is to be balanced by two men whose combined weight is 400 lb. The piece of machinery is placed 8 in. from the fulcrum. How far from the fulcrum must the two men exert their weight in order to balance it?

Accepted Answer

A)  23 in. 
B)  460 in. 
C)  230 in. 
D)  200 in. 
E)  198 in. 
A)  23 in. 
B)  460 in. 
C)  230 in. 
D)  200 in. 
E)  198 in.

Question 20

A large gear with 300 teeth turning at 11 rpm turns a small gear at 150 rpm. How many teeth does the small gear have?

Accepted Answer

A)  5.5 
B)  36 
C)  27 
D)  22 
E)  72 
A)  5.5 
B)  36 
C)  27 
D)  22 
E)  72

Express the ratio in lowest terms. $39 \text { to } 33$

The ratio of the voltage drops across two resistors wired in series equals the ratio of their resistances. Find the ratio of a 1,750- Ω resistor to a 700- Ω resistor.

Draw a sketch for the problem and solve it. A lever is in balance when a force of 1,600 g is placed 28 cm from a fulcrum. An unknown force is placed 16 cm from the fulcrum on the other side. What is the unknown force? __________ grams

Suppose 165 gal of oil flow through a feeder pipe in 5 min. Find the flow rate in gallons per minute.

Find the amount of pure ingredient needed to prepare the solution as indicated. 750 mL of 1 : 50 sodium bicarbonate solution from pure sodium bicarbonate __________ mL

Find the amount of pure ingredient needed to prepare the solution as indicated. 720 mL of 1 : 60 sodium bicarbonate solution from pure sodium bicarbonate

A hydraulic pump is driven with an electric motor(see figure below). The pump must rotate at 1,000 rpm. The pump is equipped with a 6.0-in.-diameter belt pulley. The motor runs at 1,500 rpm. What diameter pulley is required on the motor?

Find the flow rate for the given IV (intravenous), assume a drop factor of 15 drops/mL. Round your answer to the nearest whole number. 2 L in 7 h __________ drops/minute

Find the length of time an IV (intravenous) should be administered. (Assume a drop factor of 10 drops/mL.) Give your answer in hours and express part of an hour as a fraction. 560 mL at a rate of 40 drops/min

Use the formulas for the hydraulic press to find MA. r _l = 20 in. and r _s = 4 in.

A large pulley turns at 60 rpm. A smaller pulley 6 in. in diameter turns at 400 rpm. What is the diameter of the larger pulley?

Calculate the values of x and y in the following table. Gear A Gear B Number of teeth rpm Number of teeth 10 100 x 125 260 y 50 520

A 400 bu wagon holds 9.2 tons of grain. Express the weight of grain in pounds per bushel.

Express the ratio in lowest terms. $2 \mathrm {~cm} \text { to } 10 \mathrm {~mm}$

Fill in the blanks. Pulley A Pulley B Diameter Diameter 625 25 900 117 120 180

Use the formulas for the hydraulic press to find F _s . F _l = 2,400 lb, r _l = 4 in. and r _s = 2 in.

One pulley is twice as large in diameter as a second pulley. If the larger pulley turns at 259 rpm, what is the rpm of the smaller?

Solve the proportion. Round the result to three significant digits when necessary. $\frac { 18 } { 20 } = \frac { 126 } { 2 x }$

Draw a sketch for the problem and solve it. A piece of machinery weighs 5 tons. It is to be balanced by two men whose combined weight is 400 lb. The piece of machinery is placed 8 in. from the fulcrum. How far from the fulcrum must the two men exert their weight in order to balance it?

A large gear with 300 teeth turning at 11 rpm turns a small gear at 150 rpm. How many teeth does the small gear have?

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Geometry

Right Triangle Trigonometry

Trigonometry With Any Angle

Basic Statistics

Binary and Hexadecimal Numbers

Filters

Exam 7: Ratio and Proportion

Express the ratio in lowest terms. 39 to 3339 \text { to } 3339 to 33

The ratio of the voltage drops across two resistors wired in series equals the ratio of their resistances. Find the ratio of a 1,750- Ω resistor to a 700- Ω resistor.

Draw a sketch for the problem and solve it. A lever is in balance when a force of 1,600 g is placed 28 cm from a fulcrum. An unknown force is placed 16 cm from the fulcrum on the other side. What is the unknown force? __________ grams

Suppose 165 gal of oil flow through a feeder pipe in 5 min. Find the flow rate in gallons per minute.

Find the amount of pure ingredient needed to prepare the solution as indicated. 750 mL of 1 : 50 sodium bicarbonate solution from pure sodium bicarbonate __________ mL

Find the amount of pure ingredient needed to prepare the solution as indicated. 720 mL of 1 : 60 sodium bicarbonate solution from pure sodium bicarbonate

A hydraulic pump is driven with an electric motor(see figure below). The pump must rotate at 1,000 rpm. The pump is equipped with a 6.0-in.-diameter belt pulley. The motor runs at 1,500 rpm. What diameter pulley is required on the motor?

Find the flow rate for the given IV (intravenous), assume a drop factor of 15 drops/mL. Round your answer to the nearest whole number. 2 L in 7 h __________ drops/minute

Find the length of time an IV (intravenous) should be administered. (Assume a drop factor of 10 drops/mL.) Give your answer in hours and express part of an hour as a fraction. 560 mL at a rate of 40 drops/min

Use the formulas for the hydraulic press to find MA. r l = 20 in. and r s = 4 in.

A large pulley turns at 60 rpm. A smaller pulley 6 in. in diameter turns at 400 rpm. What is the diameter of the larger pulley?

Calculate the values of x and y in the following table. Gear A Gear B Number of teeth rpm Number of teeth 10 100 x 125 260 y 50 520

A 400 bu wagon holds 9.2 tons of grain. Express the weight of grain in pounds per bushel.

Express the ratio in lowest terms. 2 cm to 10 mm2 \mathrm {~cm} \text { to } 10 \mathrm {~mm}2 cm to 10 mm

Fill in the blanks. Pulley A Pulley B Diameter Diameter 625 25 900 117 120 180

Use the formulas for the hydraulic press to find F s . F l = 2,400 lb, r l = 4 in. and r s = 2 in.

One pulley is twice as large in diameter as a second pulley. If the larger pulley turns at 259 rpm, what is the rpm of the smaller?

Solve the proportion. Round the result to three significant digits when necessary. 1820=1262x\frac { 18 } { 20 } = \frac { 126 } { 2 x }2018​=2x126​

Draw a sketch for the problem and solve it. A piece of machinery weighs 5 tons. It is to be balanced by two men whose combined weight is 400 lb. The piece of machinery is placed 8 in. from the fulcrum. How far from the fulcrum must the two men exert their weight in order to balance it?

A large gear with 300 teeth turning at 11 rpm turns a small gear at 150 rpm. How many teeth does the small gear have?

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Geometry

Right Triangle Trigonometry

Trigonometry With Any Angle

Basic Statistics

Binary and Hexadecimal Numbers

Filters

Express the ratio in lowest terms. $39 \text { to } 33$

Use the formulas for the hydraulic press to find MA. r _l = 20 in. and r _s = 4 in.

Express the ratio in lowest terms. $2 \mathrm {~cm} \text { to } 10 \mathrm {~mm}$

Use the formulas for the hydraulic press to find F _s . F _l = 2,400 lb, r _l = 4 in. and r _s = 2 in.

Solve the proportion. Round the result to three significant digits when necessary. $\frac { 18 } { 20 } = \frac { 126 } { 2 x }$