24.01.2023

Select all ratios that are in their simplest form.
A 3:13 B 26:18 C 27:11 D 27:21 E 5:19

. 4

Faq

Mathematics
Step-by-step answer
P Answered by PhD

1)11/13(prime cannot be simplified)

2)4/9(no common factors)

3) 6/5(no common factors)

hope this helps!

Mathematics
Step-by-step answer
P Answered by PhD

1)11/13(prime cannot be simplified)

2)4/9(no common factors)

3) 6/5(no common factors)

hope this helps!

Mathematics
Step-by-step answer
P Answered by PhD

1. Correct length of Flag 2 if the standard ratio of length to width is 1:9 and width is 2.7 ft:

1:9=X:2.

9X=2.7

X=2.7/9

X=.3 ft


2. In last night’s baseball game, there were 4 walks and 15 hits. The ratio of walks to hits, written in three different ways are: 
4/15

4:15

0.266667


3. During one day in a hardware store, 37 people came in and made a purchase, and 13 people looked around but didn’t purchase anything. The ratios are:

a. Purchasers to nonpurchasers 37:13

b. Nonpurchasers to purchasers 13:37

c. Purchasers to total customers, 37:50

d. Nonpurchasers to total customers 13:50

4. Ratios as a fraction without reducing.

a. 6: 13    to 6/13

b. 7: 40    to 7/40

c. 45: 36  to 45/36

d. 37: 43  to 37/43

5. Ratio to its simplest form.

a. 17: 102  to 1:6

b. 208⁄52    to 4:1

c. 54 to 2    to 27:1

d. 7: 49      to 1:7

6. Sylvia worked 3 hours and 45 minutes or 225 minutes

Paul worked for 4 hours and 35 minutes or. 275 minutes

The ratio of Sylvia’s work time to Paul’s work time, in minutes is:

225:275 or 9:11

7. 100 sheets of binder paper at $2.50 is $.025/sheet while 150 sheets at $3.50 is $.023. 150 sheets at $3,50 is a better buy.

8. The term ratio in mathematics shows a relationship between two numbers as to how many times the first number contains the second.

9. Missing number:

 a. 3 : 24 = ___ : 72  (9)

b. ___ : 18 = 5 : 9     (10)

c. 6: ___ = 36 : 36    (6)

10. Normal vision is called 20-20 vision. These numbers are actually a ratio—a comparison of the distance you can see to the distance a normal-sighted person can see. For example, a person with 20-30 vision can see from a distance of 20 feet what a person with 20-20 vision can see from a distance of 30 feet. Based on this knowledge, explain what the following numbers mean regarding vision.

a. 20-100 (a person with 20-100 vision can see from a distance of 20 feet what a person with 20-20 vision can see from a distance of 100 feet.)

b. 20-40 (a person with 20-40 vision can see from a distance of 20 feet what a person with 20-20 vision can see from a distance of 40 feet.)

11. A van travels 240 miles on 20 gallons of gas. A gallon can travel (240/20) or 12 miles. 

12. Carlos installed 24 wooden cabinets in 8 days. On the average, he installs (24/8) or 3 cabinets each day?

Mathematics
Step-by-step answer
P Answered by PhD

1. Correct length of Flag 2 if the standard ratio of length to width is 1:9 and width is 2.7 ft:

1:9=X:2.

9X=2.7

X=2.7/9

X=.3 ft


2. In last night’s baseball game, there were 4 walks and 15 hits. The ratio of walks to hits, written in three different ways are: 
4/15

4:15

0.266667


3. During one day in a hardware store, 37 people came in and made a purchase, and 13 people looked around but didn’t purchase anything. The ratios are:

a. Purchasers to nonpurchasers 37:13

b. Nonpurchasers to purchasers 13:37

c. Purchasers to total customers, 37:50

d. Nonpurchasers to total customers 13:50

4. Ratios as a fraction without reducing.

a. 6: 13    to 6/13

b. 7: 40    to 7/40

c. 45: 36  to 45/36

d. 37: 43  to 37/43

5. Ratio to its simplest form.

a. 17: 102  to 1:6

b. 208⁄52    to 4:1

c. 54 to 2    to 27:1

d. 7: 49      to 1:7

6. Sylvia worked 3 hours and 45 minutes or 225 minutes

Paul worked for 4 hours and 35 minutes or. 275 minutes

The ratio of Sylvia’s work time to Paul’s work time, in minutes is:

225:275 or 9:11

7. 100 sheets of binder paper at $2.50 is $.025/sheet while 150 sheets at $3.50 is $.023. 150 sheets at $3,50 is a better buy.

8. The term ratio in mathematics shows a relationship between two numbers as to how many times the first number contains the second.

9. Missing number:

 a. 3 : 24 = ___ : 72  (9)

b. ___ : 18 = 5 : 9     (10)

c. 6: ___ = 36 : 36    (6)

10. Normal vision is called 20-20 vision. These numbers are actually a ratio—a comparison of the distance you can see to the distance a normal-sighted person can see. For example, a person with 20-30 vision can see from a distance of 20 feet what a person with 20-20 vision can see from a distance of 30 feet. Based on this knowledge, explain what the following numbers mean regarding vision.

a. 20-100 (a person with 20-100 vision can see from a distance of 20 feet what a person with 20-20 vision can see from a distance of 100 feet.)

b. 20-40 (a person with 20-40 vision can see from a distance of 20 feet what a person with 20-20 vision can see from a distance of 40 feet.)

11. A van travels 240 miles on 20 gallons of gas. A gallon can travel (240/20) or 12 miles. 

12. Carlos installed 24 wooden cabinets in 8 days. On the average, he installs (24/8) or 3 cabinets each day?

Mathematics
Step-by-step answer
P Answered by PhD
1. The winner threw the ball 175 ft, so what we want to do now is we convert (175) ft into yd.

We already know that 1ft= 1/3 yd, so the distance in yd is:
175 ft* (1/3 yd/ 1 ft) = 58 1/3 yd.

The answer is A. 58 1/3 yards.

2. 75 min* (4.5 miles/ 15 min)= 22.5 miles.

The correct answer is D. 22.5

3. Let's say that there are 4 weeks in a month. There are 5 weekdays in a week, so the number of weekdays in a month is:
5 weekdays/ 1 week* (4 weeks/ 1 month)= 20 weekdays/ 1 month.

Alex runs 5.9 miles/ 1 weekday, so the number of miles he runs every month is:
(5.9 miles/ 1 weekday)* (20 weekdays/ 1 month)= 118 miles/ month.

The nearest number to 118 is 120, so the answer is D.120 miles

4. 10 sweaters to 8 shirts:

10:8= 10/8= 5/4

The answer is B. 5/4

Hope this would help~
Mathematics
Step-by-step answer
P Answered by PhD
1. The winner threw the ball 175 ft, so what we want to do now is we convert (175) ft into yd.

We already know that 1ft= 1/3 yd, so the distance in yd is:
175 ft* (1/3 yd/ 1 ft) = 58 1/3 yd.

The answer is A. 58 1/3 yards.

2. 75 min* (4.5 miles/ 15 min)= 22.5 miles.

The correct answer is D. 22.5

3. Let's say that there are 4 weeks in a month. There are 5 weekdays in a week, so the number of weekdays in a month is:
5 weekdays/ 1 week* (4 weeks/ 1 month)= 20 weekdays/ 1 month.

Alex runs 5.9 miles/ 1 weekday, so the number of miles he runs every month is:
(5.9 miles/ 1 weekday)* (20 weekdays/ 1 month)= 118 miles/ month.

The nearest number to 118 is 120, so the answer is D.120 miles

4. 10 sweaters to 8 shirts:

10:8= 10/8= 5/4

The answer is B. 5/4

Hope this would help~
Mathematics
Step-by-step answer
P Answered by PhD
Q1. The answer is d) 13 to 18

There are 13 pens and 18 pencils. Ratio of pens to pencils can be written as:
pens : pencils

Since pens = 13 and pencils = 18, then 
pens : pencils = 13 : 18

Or in other words, ratio of pens to pencils is 13 to 18. Thus, choice d) is correct.

Q2. The answer is C.5 to 8

There are 12 tulips and 20 roses. The total number of flowers is 12 tulips + 20 roses = 32 flowers. Ratio of roses to the total number of flowers can be written as:
roses : total flowers

Since roses = 20 and total flowers = 32, then 
roses : total flowers = 20 : 32

Now, let's simplify 20 to 32 ratio:
20 : 32 = (20 / 4) : (32 / 4) = 5 : 8 

Or in other words, ratio of roses to the total number of flowers is is 5 to 8. Thus, choice C. is correct.

Q3. The answer is 3 : 4

There are 30 one-story homes and 24 two-story homes. Ratio of two -story homes to one-story homes can be written as:
two-story homes : one-story homes

Since one-story homes = 32 and two-story homes = 24, then 
two-story homes : one-story homes = 24 : 32

Now, let's simplify 24 to 32 ratio:
24 : 32 = (24 / 8) : (32 / 8) = 3 : 4

So, the ratio of one-story homes to two-story homes is 3 to 4.

Q4. The answer is 

There are 16 trading cards and 2 wildlife cards. Ratio of wildlife cards to total trading cards can be written as:
wildlife cards : trading cards

Since trading cards = 16 and wildlife cards = 2, then 
wildlife cards : trading cards = 2 : 16

Now, let's simplify 2 to 16 ratio:
2 : 16 = (2 / 2) : (16 / 2) = 1 : 8

So, the ratio of wildlife cards to total trading cards is 1 : 8

Q5. The answer is

There are 3 cobblers. The total number of baked goods is 12 cookies + 9 pies + 8 cakes + 4 tarts + 3 cobblers = 36 baked goods.  Ratio of the total number of baked goods to cobblers can be written as:
baked goods : cobblers

Since baked goods = 36 and cobblers = 3, then 
wildlife cards : trading cards = 36 : 3

Now, let's simplify 36 to 3 ratio:
36 : 3 = (36 / 3) : (3 / 3) = 12 : 1

So, the ratio of the total number of baked goods to cobblers is 12 : 1
Mathematics
Step-by-step answer
P Answered by PhD
Q1. The answer is d) 13 to 18

There are 13 pens and 18 pencils. Ratio of pens to pencils can be written as:
pens : pencils

Since pens = 13 and pencils = 18, then 
pens : pencils = 13 : 18

Or in other words, ratio of pens to pencils is 13 to 18. Thus, choice d) is correct.

Q2. The answer is C.5 to 8

There are 12 tulips and 20 roses. The total number of flowers is 12 tulips + 20 roses = 32 flowers. Ratio of roses to the total number of flowers can be written as:
roses : total flowers

Since roses = 20 and total flowers = 32, then 
roses : total flowers = 20 : 32

Now, let's simplify 20 to 32 ratio:
20 : 32 = (20 / 4) : (32 / 4) = 5 : 8 

Or in other words, ratio of roses to the total number of flowers is is 5 to 8. Thus, choice C. is correct.

Q3. The answer is 3 : 4

There are 30 one-story homes and 24 two-story homes. Ratio of two -story homes to one-story homes can be written as:
two-story homes : one-story homes

Since one-story homes = 32 and two-story homes = 24, then 
two-story homes : one-story homes = 24 : 32

Now, let's simplify 24 to 32 ratio:
24 : 32 = (24 / 8) : (32 / 8) = 3 : 4

So, the ratio of one-story homes to two-story homes is 3 to 4.

Q4. The answer is 

There are 16 trading cards and 2 wildlife cards. Ratio of wildlife cards to total trading cards can be written as:
wildlife cards : trading cards

Since trading cards = 16 and wildlife cards = 2, then 
wildlife cards : trading cards = 2 : 16

Now, let's simplify 2 to 16 ratio:
2 : 16 = (2 / 2) : (16 / 2) = 1 : 8

So, the ratio of wildlife cards to total trading cards is 1 : 8

Q5. The answer is

There are 3 cobblers. The total number of baked goods is 12 cookies + 9 pies + 8 cakes + 4 tarts + 3 cobblers = 36 baked goods.  Ratio of the total number of baked goods to cobblers can be written as:
baked goods : cobblers

Since baked goods = 36 and cobblers = 3, then 
wildlife cards : trading cards = 36 : 3

Now, let's simplify 36 to 3 ratio:
36 : 3 = (36 / 3) : (3 / 3) = 12 : 1

So, the ratio of the total number of baked goods to cobblers is 12 : 1

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