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

16.

Explanation:

Step1: Set up proportion

We know that the scale is 1 inch = 50 miles. Let $x$ be the distance on the map. The ratio of the actual - distance to the map - distance should be the same as the ratio of the scale values. So, $\frac{425}{x}=\frac{50}{1}$, which can be rewritten as $\frac{1}{50}=\frac{x}{425}$.

Answer:

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

17.

Explanation:

An odd number is not divisible by 2. We check the last digit of each number. 372,244 ends with 4, 460,320 ends with 0, 760,216 ends with 6, and 820,371 ends with 1.

Answer:

D. 820,371

18.

Explanation:

Step1: Prime - factorize 300

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

Answer:

H. $2^{2}\cdot3\cdot5^{2}$

19.

Explanation:

Step1: Solve the exponent

First, calculate $(7 - 4)^{2}=(3)^{2}=9$.

Step2: Multiply

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

Step3: Add and divide

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

Answer:

B. 51

20.

Explanation:

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

Answer:

J. degrees

21.

Explanation:

To measure the temperature of bean plants, we use a thermometer. A micrometer measures very small lengths, a stick is not a proper temperature - measuring instrument, and a ruler measures length.

Answer:

C. thermometer

22.

Explanation:

Step1: Identify the shape

The area to be fenced is a rectangle with length $l = 225$ feet and width $w = 130$ feet.

Step2: Calculate the perimeter

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

Answer:

H. 710 feet

23.

Explanation:

Step1: Calculate the area of the park

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

Step2: Calculate the area of the sports fields

The area of the sports - fields is $A_{fields}=250\times150 = 37500$ square meters.

Step3: Calculate the remaining area

$A_{remaining}=A_{park}-A_{fields}=392000 - 37500=354500$ square meters.

Answer:

C. 354,500 square meters

24.

Explanation:

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. The perimeter of the living - room is not enough, the total area of the living - room includes the floor and ceiling, and the volume is not relevant for painting walls.

Answer:

J. the area of the living room walls

25.

Explanation:

The figure shown has a circular base and a curved surface that extends upwards, which is the characteristic of a cylinder.

Answer:

B. cylinder