Question 1

The Washington Monument shown below casts a shadow of $166 \frac { 1 } { 2 }$ feet at the same time as a 6-foot-tall tourist casts a shadow of $1 \frac { 1 } { 2 }$ feet. Find the height of the monument.  __________ ft

Accepted Answer

The answer of The Washington Monument shown below casts a...

Question 2

Write the expression " R varies directly with the square of x " in symbols.
A) $R = k \sqrt { x }$
B) $R = \frac { k } { \sqrt { x } }$
C) $R = k x ^ { 2 }$
D) $R = \frac { k } { x ^ { 2 } }$

Accepted Answer

The answer of Write the expression " R varies directly...

Question 3

Solve the problem by writing a variation model. The number of days that a given number of bushels of corn will last when feeding cattle varies inversely as the number of animals. If x bushels will feed 25 cows for 11 days, how long will the feed last for 11 cows?
 __________ days

Accepted Answer

The answer of Solve the problem by writing a variation...

Question 4

Express the verbal model " b varies inversely with the cube of c " in symbols.
A) $b = \frac { k } { c ^ { 3 } }$
B) $b = \frac { k } { \sqrt [ 3 ] { c } }$
C) $b = k c ^ { 3 }$
D) $b = k \sqrt [ 3 ] { c }$

Accepted Answer

The answer of Express the verbal model " b varies...

Question 5

A __________ is the quotient of two numbers or two quantities with the same units.

Accepted Answer

The answer of A __________ is the quotient of two...

Question 6

In a scale drawing, a 230-foot antenna tower is drawn $7 \frac { 1 } { 2 }$ inches high. The building next to it is drawn $2 \frac { 1 } { 4 }$ inches high. How tall is the actual building?
 __________ ft

Accepted Answer

The answer of In a scale drawing, a 230-foot antenna...

Question 7

Solve the proportion. $\frac { r - 2 } { 5 } = \frac { r } { 7 }$

Accepted Answer

The answer of Solve the proportion. \(\frac { r -...

Question 8

Express the verbal model in symbols. y varies inversely as the cube of u .

Accepted Answer

The answer of Express the verbal model in symbols. y...

Question 9

Solve the proportion. $\frac { 3 } { c } = \frac { c - 3 } { 6 }$

Accepted Answer

The answer of Solve the proportion. \(\frac { 3 }...

Question 10

Solve the proportion. $\frac { 2 } { 3 x } = \frac { 6 x } { 36 }$

Accepted Answer

The answer of Solve the proportion. \(\frac { 2 }...

Question 11

Express the verbal model in symbols. C varies jointly as u , z, and y .

Accepted Answer

The answer of Express the verbal model in symbols. C...

Question 12

Express the following in symbols: D varies inversely as the square of z and jointly as the cube of x and the square root of y .

Accepted Answer

The answer of Express the following in symbols: D varies...

Question 13

Solve the proportion. $\frac { 1 } { x + 3 } = \frac { - 3 x } { x + 8 }$

Accepted Answer

The answer of Solve the proportion. \(\frac { 1 }...

Question 14

Two right triangles are similar. The two legs of one triangle have lengths 1 and ( x + 1), and the corresponding legs of the other triangle have lengths $( x - 1 )$ and 1. Find the value of x .

Accepted Answer

The answer of Two right triangles are similar. The two...

Question 15

A rectangle has a width of 1 meter and length of x meters. When a square with sides 1 meter in length is removed, the remaining rectangle has sides in the same ratio as the original rectangle. What is the exact value of x ?

Accepted Answer

The answer of A rectangle has a width of 1...

Question 16

Express the verbal model in symbols. B varies directly as the square of u .

Accepted Answer

The answer of Express the verbal model in symbols. B...

Question 17

Solve the proportion, if possible. $\frac { n ^ { 2 } } { 4 } = \frac { n } { n + 3 }$

Accepted Answer

The answer of Solve the proportion, if possible. \(\frac {...

Quiz 6: Rational Expression and Equations

The Washington Monument shown below casts a shadow of 16612166 \frac { 1 } { 2 }16621​ feet at the same time as a 6-foot-tall tourist casts a shadow of 1121 \frac { 1 } { 2 }121​ feet. Find the height of the monument. __________ ft

Write the expression " R varies directly with the square of x " in symbols.

Solve the problem by writing a variation model. The number of days that a given number of bushels of corn will last when feeding cattle varies inversely as the number of animals. If x bushels will feed 25 cows for 11 days, how long will the feed last for 11 cows? __________ days

Express the verbal model " b varies inversely with the cube of c " in symbols.

A __________ is the quotient of two numbers or two quantities with the same units.

In a scale drawing, a 230-foot antenna tower is drawn 7127 \frac { 1 } { 2 }721​ inches high. The building next to it is drawn 2142 \frac { 1 } { 4 }241​ inches high. How tall is the actual building? __________ ft

Solve the proportion. r−25=r7\frac { r - 2 } { 5 } = \frac { r } { 7 }5r−2​=7r​

Express the verbal model in symbols. y varies inversely as the cube of u .

Solve the proportion. 3c=c−36\frac { 3 } { c } = \frac { c - 3 } { 6 }c3​=6c−3​

Solve the proportion. 23x=6x36\frac { 2 } { 3 x } = \frac { 6 x } { 36 }3x2​=366x​