16. which proportion could be used to solve the following problem? the scale on a map is 1 inch = 50 miles…

16. which proportion could be used to solve the following problem? the scale on a map is 1 inch = 50 miles. the distance between two cities is 425 miles. what is the distance on the map? f $\frac{425}{x}=\frac{1}{50}$ g $\frac{50}{x}=\frac{1}{425}$ h $\frac{50}{1}=\frac{x}{425}$ j $\frac{1}{50}=\frac{x}{425}$ 17. which number is odd? a 372,244 b 460,320 c 760,216 d 820,371 18. what is the prime - factorization of 300? f $2^{2}cdot5^{3}$ g $2^{2}cdot3cdot5^{3}$ h $2^{2}cdot3cdot5^{2}$ j $2cdot3cdot5^{3}$ 19. simplify: $\frac{8(7 - 4)^{2}+3cdot2cdot5}{2}$ a 39 b 51 c 255 d 750 20. you need to control the growing temperature for your bean plants. which unit of measurement would you use? f meters g liters h grams j degrees 21. when you measure the temperature of your bean plants (from question 20) which instrument should you use? a micrometer b stick c thermometer d ruler 22. how many feet of fencing is needed to fence in a 130 feet by 225 feet area? f 355 feet g 385 feet h 710 feet j 29,250 feet 23. a recreation park measures 560 meters long by 700 meters wide. a 250 - meter by 150 - meter area of the park is used for soccer and baseball fields. how much of the area remains? a 37,500 square meters b 80,000 square meters c 354,500 square meters d 392,000 square meters 24. a painter plans to paint the walls of a living room. in order to help estimate how many cans of paint are needed, what needs to be determined? f the perimeter of the living room g the total area of the living room h the volume of the living room j the area of the living room walls 25. what is the best geometric description of the figure shown? a circle b cylinder c hemisphere d sphere

16. which proportion could be used to solve the following problem? the scale on a map is 1 inch = 50 miles. the distance between two cities is 425 miles. what is the distance on the map? f $\frac{425}{x}=\frac{1}{50}$ g $\frac{50}{x}=\frac{1}{425}$ h $\frac{50}{1}=\frac{x}{425}$ j $\frac{1}{50}=\frac{x}{425}$ 17. which number is odd? a 372,244 b 460,320 c 760,216 d 820,371 18. what is the prime - factorization of 300? f $2^{2}cdot5^{3}$ g $2^{2}cdot3cdot5^{3}$ h $2^{2}cdot3cdot5^{2}$ j $2cdot3cdot5^{3}$ 19. simplify: $\frac{8(7 - 4)^{2}+3cdot2cdot5}{2}$ a 39 b 51 c 255 d 750 20. you need to control the growing temperature for your bean plants. which unit of measurement would you use? f meters g liters h grams j degrees 21. when you measure the temperature of your bean plants (from question 20) which instrument should you use? a micrometer b stick c thermometer d ruler 22. how many feet of fencing is needed to fence in a 130 feet by 225 feet area? f 355 feet g 385 feet h 710 feet j 29,250 feet 23. a recreation park measures 560 meters long by 700 meters wide. a 250 - meter by 150 - meter area of the park is used for soccer and baseball fields. how much of the area remains? a 37,500 square meters b 80,000 square meters c 354,500 square meters d 392,000 square meters 24. a painter plans to paint the walls of a living room. in order to help estimate how many cans of paint are needed, what needs to be determined? f the perimeter of the living room g the total area of the living room h the volume of the living room j the area of the living room walls 25. what is the best geometric description of the figure shown? a circle b cylinder c hemisphere d sphere

Answer

Explanation:

Step1: Set up proportion

The scale is 1 inch = 50 miles. Let $x$ be the distance on the map for 425 miles. The proportion is $\frac{1}{50}=\frac{x}{425}$.

Answer:

J. $\frac{1}{50}=\frac{x}{425}$

Explanation:

Step1: Check divisibility by 2

An odd - number is not divisible by 2. 372244, 450320, 760216 are divisible by 2. 820371 is not divisible by 2.

Answer:

D. 820371

Explanation:

Step1: Prime - factorize 300

$300=2\times150 = 2\times2\times75=2\times2\times3\times25 = 2^{2}\times3\times5^{2}$.

Answer:

H. $2^{2}\times3\times5^{2}$

Explanation:

Step1: Solve the expression inside parentheses

$7 - 4=3$.

Step2: Calculate the exponent

$3^{2}=9$.

Step3: Multiply

$8\times9 = 72$, $3\times2\times5=30$.

Step4: Add and divide

$72 + 30=102$, $\frac{102}{2}=51$.

Answer:

B. 51

Explanation:

Step1: Recall temperature units

Temperature is measured in degrees. Meters measure length, liters measure volume, grams measure mass.

Answer:

J. degrees

Explanation:

Step1: Recall temperature - measuring instruments

A thermometer is used to measure temperature. A micrometer measures small lengths, a stick is not a standard temperature - measuring instrument, a ruler measures length.

Answer:

C. thermometer

Explanation:

Step1: Calculate the perimeter of a rectangle

The area is 130 feet by 225 feet. The perimeter of a rectangle $P = 2(l + w)=2(130 + 225)=2\times355 = 710$ feet.

Answer:

H. 710 feet

Explanation:

Step1: Calculate the area of the park

The area of the park $A_{1}=560\times700 = 392000$ square meters.

Step2: Calculate the area of the used part

The area of the used part $A_{2}=250\times150 = 37500$ square meters.

Step3: Calculate the remaining area

$A = A_{1}-A_{2}=392000 - 37500=354500$ square meters.

Answer:

C. 354,500 square meters

Explanation:

Step1: Recall paint - estimation

To estimate the number of cans of paint needed to paint the walls of a living room, we need to know the area of the living - room walls.

Answer:

J. the area of the living room walls

Explanation:

Step1: Identify the shape

The figure shown is a cylinder. A circle is a 2 - D shape, a hemisphere is half of a sphere, a sphere is a completely round 3 - D shape.

Answer:

B. cylinder