The number of tails is simply the difference between the total number of flips and the number of heads: 42 - 28 = 14.
So, the ratio of heads to tails is 28:14, which simplifies to 2:1.
Therefore, the answer is D. 2/1.
In a probability experiment, Eric flipped a coin 42 times. The coin landed on heads 28 times. What is the ratio of heads to tails in this experiment? A. 2/3 B. 1/2 C. 3/2 D. 2/1
44 answers
Ricardo has a bag of mixed fruit snacks. In the bag, there are 10 cherry fruit snacks and 15 strawberry fruit snacks. What is the ratio of strawberry to cherry?
A.
10:1
B.
2:3
C.
1:10
D.
3:2
A.
10:1
B.
2:3
C.
1:10
D.
3:2
The ratio of strawberry to cherry is 15:10, which simplifies to 3:2 (by dividing both sides by 5).
Therefore, the answer is D. 3:2.
Therefore, the answer is D. 3:2.
Select all the correct answers.
At a garage sale, the following items were sold.
Item Number Sold
t-shirts 25
shorts 15
dresses 4
hats 2
shoes 5
sunglasses 10
Which of the following comparisons of the items sold represent a ratio of 5:2?
all items to t-shirts
shoes to hats
shorts to shoes
sunglasses to dresses
t-shirts to sunglasses
At a garage sale, the following items were sold.
Item Number Sold
t-shirts 25
shorts 15
dresses 4
hats 2
shoes 5
sunglasses 10
Which of the following comparisons of the items sold represent a ratio of 5:2?
all items to t-shirts
shoes to hats
shorts to shoes
sunglasses to dresses
t-shirts to sunglasses
The comparisons that represent a ratio of 5:2 are:
- T-shirts to dresses: 25/4 = 6.25, not a ratio of 5:2.
- Shoes to hats: 5/2 = 2.5, not a ratio of 5:2.
- Shorts to shoes: 15/5 = 3, not a ratio of 5:2.
- Sunglasses to dresses: 10/4 = 2.5, not a ratio of 5:2.
- T-shirts to sunglasses: 25/10 = 2.5, not a ratio of 5:2.
Therefore, there are no correct answers.
- T-shirts to dresses: 25/4 = 6.25, not a ratio of 5:2.
- Shoes to hats: 5/2 = 2.5, not a ratio of 5:2.
- Shorts to shoes: 15/5 = 3, not a ratio of 5:2.
- Sunglasses to dresses: 10/4 = 2.5, not a ratio of 5:2.
- T-shirts to sunglasses: 25/10 = 2.5, not a ratio of 5:2.
Therefore, there are no correct answers.
At Crescent High School, 108 students plan on going to an in-state college and 63 students plan on going to an out-of-state college. What is the ratio of students planning on going to an in-state college to students planning on going to an out-of-state college?
The ratio of students planning on going to an in-state college to students planning on going to an out-of-state college is:
108:63
This ratio cannot be simplified any further because there are no common factors between 108 and 63.
Therefore, the answer is 108:63.
108:63
This ratio cannot be simplified any further because there are no common factors between 108 and 63.
Therefore, the answer is 108:63.
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Complete the following sentences.
Jessica is building a playhouse. She uses 3 sheets of drywall and 73 nails. The ratio of nails to sheets of drywall, in simplest form, is
:
, because she uses
nail(s) for
sheet(s) of drywall.
Complete the following sentences.
Jessica is building a playhouse. She uses 3 sheets of drywall and 73 nails. The ratio of nails to sheets of drywall, in simplest form, is
:
, because she uses
nail(s) for
sheet(s) of drywall.
The ratio of nails to sheets of drywall, in simplest form, is:
73/3
This ratio cannot be simplified any further.
Therefore, the completed sentence is:
Jessica is building a playhouse. She uses 3 sheets of drywall and 73 nails. The ratio of nails to sheets of drywall, in simplest form, is 73/3, because she uses 73 nails for 3 sheets of drywall.
73/3
This ratio cannot be simplified any further.
Therefore, the completed sentence is:
Jessica is building a playhouse. She uses 3 sheets of drywall and 73 nails. The ratio of nails to sheets of drywall, in simplest form, is 73/3, because she uses 73 nails for 3 sheets of drywall.
Rose has a playlist with 30 rock songs and 21 country songs. What is the ratio of country songs to rock songs on the playlist?
A.
7:10
B.
30:1
C.
10:7
D.
1:30
A.
7:10
B.
30:1
C.
10:7
D.
1:30
The ratio of country songs to rock songs on the playlist is 21:30.
This ratio can be simplified by dividing both sides by 3:
21/3 : 30/3
7 : 10
Therefore, the answer is A. 7:10.
This ratio can be simplified by dividing both sides by 3:
21/3 : 30/3
7 : 10
Therefore, the answer is A. 7:10.
Winona's grandmother always keeps her refrigerator stocked with sodas. In the refrigerator, there are 27 regular sodas and 15 diet sodas. What is the ratio of diet sodas to regular sodas in the refrigerator?
The ratio of diet sodas to regular sodas in the refrigerator is:
15:27
This ratio can be simplified by dividing both sides by 3:
5:9
Therefore, the answer is 5:9.
15:27
This ratio can be simplified by dividing both sides by 3:
5:9
Therefore, the answer is 5:9.
Jody has 2 red marbles, 5 blue marbles, and 9 yellow marbles. What is the ratio of red marbles to blue marbles?
The ratio of red marbles to blue marbles is:
2:5
Therefore, the answer is 2:5.
2:5
Therefore, the answer is 2:5.
Lemonade is made by mixing lemon juice and water in the ratio of 2 to 3. How many glasses of lemon juice and water are needed to make 15 glasses of lemonade?
A.
6 glasses of lemon juice, 9 glasses of water
B.
14 glasses of lemon juice, 1 glass of water
C.
10 glasses of lemon juice, 5 glasses of water
D.
3 glasses of lemon juice, 12 glasses of water
A.
6 glasses of lemon juice, 9 glasses of water
B.
14 glasses of lemon juice, 1 glass of water
C.
10 glasses of lemon juice, 5 glasses of water
D.
3 glasses of lemon juice, 12 glasses of water
For every 2 glasses of lemon juice, 3 glasses of water are needed to make lemonade.
So, to make 15 glasses of lemonade, we need to use the same ratio of 2 to 3.
We can set up a proportion to solve for the quantities:
2/5 = x/15
Where x is the number of glasses of lemon juice needed.
Cross-multiplying, we get:
2 x 15 = 5 x
30 = 5x
x = 6
Therefore, we need 6 glasses of lemon juice and 9 glasses of water to make 15 glasses of lemonade.
The answer is A. 6 glasses of lemon juice, 9 glasses of water.
So, to make 15 glasses of lemonade, we need to use the same ratio of 2 to 3.
We can set up a proportion to solve for the quantities:
2/5 = x/15
Where x is the number of glasses of lemon juice needed.
Cross-multiplying, we get:
2 x 15 = 5 x
30 = 5x
x = 6
Therefore, we need 6 glasses of lemon juice and 9 glasses of water to make 15 glasses of lemonade.
The answer is A. 6 glasses of lemon juice, 9 glasses of water.
Type the correct answer in the box. Use numerals instead of words.
If an answer for this question is not a whole number, enter it as a decimal.
How many kilograms are in 3,500 grams?
kilograms
If an answer for this question is not a whole number, enter it as a decimal.
How many kilograms are in 3,500 grams?
kilograms
To convert grams to kilograms, we need to divide by 1000, since there are 1000 grams in a kilogram.
So, to convert 3,500 grams to kilograms, we can divide 3,500 by 1000:
3,500/1000 = 3.5
Therefore, there are 3.5 kilograms in 3,500 grams.
So, to convert 3,500 grams to kilograms, we can divide 3,500 by 1000:
3,500/1000 = 3.5
Therefore, there are 3.5 kilograms in 3,500 grams.
Use the table to determine the relationship between pounds and ounces.
Pounds Ounces
1 16
2 ?
3 ?
4 ?
Which of the following graphs matches the relationship shown in the table?
W.
X.
Y.
Z.
A.
Z
B.
Y
C.
W
D.
X
Pounds Ounces
1 16
2 ?
3 ?
4 ?
Which of the following graphs matches the relationship shown in the table?
W.
X.
Y.
Z.
A.
Z
B.
Y
C.
W
D.
X
The relationship shown in the table is that there are 16 ounces in 1 pound. Therefore:
- 2 pounds is equal to 2 x 16 = 32 ounces
- 3 pounds is equal to 3 x 16 = 48 ounces
- 4 pounds is equal to 4 x 16 = 64 ounces
Looking at the graphs, we can see that only option W matches this relationship.
Therefore, the answer is C. W.
- 2 pounds is equal to 2 x 16 = 32 ounces
- 3 pounds is equal to 3 x 16 = 48 ounces
- 4 pounds is equal to 4 x 16 = 64 ounces
Looking at the graphs, we can see that only option W matches this relationship.
Therefore, the answer is C. W.
The three tables below show the ratios of ingredients needed to make watercolor paint.
Syrup (tsp) Cornstarch (tsp)
4 10
10 25
14 35
Baking Soda (tbsp) Vinegar (tbsp)
6 8
15 20
18 24
Red Dye (mL) Blue Dye (mL)
8 14
12 21
16 28
Put the specified ratios in order from least to greatest.
Syrup (tsp) Cornstarch (tsp)
4 10
10 25
14 35
Baking Soda (tbsp) Vinegar (tbsp)
6 8
15 20
18 24
Red Dye (mL) Blue Dye (mL)
8 14
12 21
16 28
Put the specified ratios in order from least to greatest.
The specified ratios are:
- Syrup to cornstarch: 4:10, 10:25, 14:35
- Baking soda to vinegar: 6:8, 15:20, 18:24
- Red dye to blue dye: 8:14, 12:21, 16:28
We can simplify each of these ratios by dividing both sides by their greatest common factor:
- Syrup to cornstarch: 2:5, 2:5, 2:5
- Baking soda to vinegar: 3:4, 3:4, 3:4
- Red dye to blue dye: 4:7, 4:7, 4:7
These ratios are all the same, so there is no order to put them in.
Therefore, there is no answer to this question.
- Syrup to cornstarch: 4:10, 10:25, 14:35
- Baking soda to vinegar: 6:8, 15:20, 18:24
- Red dye to blue dye: 8:14, 12:21, 16:28
We can simplify each of these ratios by dividing both sides by their greatest common factor:
- Syrup to cornstarch: 2:5, 2:5, 2:5
- Baking soda to vinegar: 3:4, 3:4, 3:4
- Red dye to blue dye: 4:7, 4:7, 4:7
These ratios are all the same, so there is no order to put them in.
Therefore, there is no answer to this question.
Find the missing number in the ratio table below.
8 16 24 32
13 26 39 ?
8 16 24 32
13 26 39 ?
We can see that to get from the first row to the second row, we need to multiply each number by 1.625 (which is the same as 13/8).
Using this same multiplier, we can find the missing number in the third column:
24 x 1.625 = 39
Therefore, the missing number in the ratio table is 39.
The completed table is:
8 16 24 32
13 26 39 52
Using this same multiplier, we can find the missing number in the third column:
24 x 1.625 = 39
Therefore, the missing number in the ratio table is 39.
The completed table is:
8 16 24 32
13 26 39 52
Cups 2 5
Fluid Ounces 16 40
Which of the following tables represents a ratio which is less than the ratio in the table above?
Consider the measurements as the ratio of the top measurement to the bottom measurement.
A.
Gallons 8 11
Quarts 32 44
B.
Quarts 5 8
Pints 10 16
C.
Days 3 6
Hours 72 144
D.
Yards 11 14
Feet 33 42
Fluid Ounces 16 40
Which of the following tables represents a ratio which is less than the ratio in the table above?
Consider the measurements as the ratio of the top measurement to the bottom measurement.
A.
Gallons 8 11
Quarts 32 44
B.
Quarts 5 8
Pints 10 16
C.
Days 3 6
Hours 72 144
D.
Yards 11 14
Feet 33 42
The ratio in the given table is 2 cups to 16 fluid ounces, or 1 cup to 8 fluid ounces.
We can compare this ratio to the ratios in each of the other tables to see which one is less:
- Table A: 8 cups to 64 fluid ounces, or 1 cup to 8 fluid ounces (same ratio as the given table).
- Table B: 5 quarts to 40 cups, or 1.25 quarts to 10 cups, which simplifies to 1.25 cups to 8 fluid ounces (a larger ratio than the given table).
- Table C: 3 days to 72 hours, or 1 day to 24 hours, which simplifies to 1 hour to 1/24 day (a smaller ratio than the given table).
- Table D: 11 yards to 396 inches, or 1 yard to 36 inches, which simplifies to 1 inch to 1/36 yards (a smaller ratio than the given table).
Therefore, the answer is either C or D. However, the question asks for a table that represents a ratio that is less than the ratio in the given table. Since all the ratios in table C and table D are less than the ratio in the given table, we need to choose between these two tables.
Looking at the simplified ratios, we can see that the ratio in table D is smaller than the ratio in table C. Therefore, the answer is D.
Therefore, the answer is D. Yards 11:14, Feet 33:42.
We can compare this ratio to the ratios in each of the other tables to see which one is less:
- Table A: 8 cups to 64 fluid ounces, or 1 cup to 8 fluid ounces (same ratio as the given table).
- Table B: 5 quarts to 40 cups, or 1.25 quarts to 10 cups, which simplifies to 1.25 cups to 8 fluid ounces (a larger ratio than the given table).
- Table C: 3 days to 72 hours, or 1 day to 24 hours, which simplifies to 1 hour to 1/24 day (a smaller ratio than the given table).
- Table D: 11 yards to 396 inches, or 1 yard to 36 inches, which simplifies to 1 inch to 1/36 yards (a smaller ratio than the given table).
Therefore, the answer is either C or D. However, the question asks for a table that represents a ratio that is less than the ratio in the given table. Since all the ratios in table C and table D are less than the ratio in the given table, we need to choose between these two tables.
Looking at the simplified ratios, we can see that the ratio in table D is smaller than the ratio in table C. Therefore, the answer is D.
Therefore, the answer is D. Yards 11:14, Feet 33:42.
Convert to cups.
44 fluid ounces
A.
7.5 cups
B.
11 cups
C.
22 cups
D.
5.5 cups
44 fluid ounces
A.
7.5 cups
B.
11 cups
C.
22 cups
D.
5.5 cups
To convert fluid ounces to cups, we need to divide by 8, since there are 8 fluid ounces in a cup.
So, to convert 44 fluid ounces to cups, we can divide 44 by 8:
44/8 = 5.5
Therefore, there are 5.5 cups in 44 fluid ounces.
The answer is D. 5.5 cups.
So, to convert 44 fluid ounces to cups, we can divide 44 by 8:
44/8 = 5.5
Therefore, there are 5.5 cups in 44 fluid ounces.
The answer is D. 5.5 cups.
Select the table that represents the ratio of blue triangles to white triangles.
A.
Blue 2 10 12 16
White 18 45 54 72
B.
Blue 4 10 12 16
White 18 45 54 72
C.
Blue 4 45 12 16
White 18 10 54 72
D.
Blue 4 6 12 15
White 18 45 54 72
A.
Blue 2 10 12 16
White 18 45 54 72
B.
Blue 4 10 12 16
White 18 45 54 72
C.
Blue 4 45 12 16
White 18 10 54 72
D.
Blue 4 6 12 15
White 18 45 54 72
The ratio of blue triangles to white triangles is:
2:18, which simplifies to 1:9.
Looking at each of the tables, we can see that only option A matches this ratio.
Therefore, the answer is A.
2:18, which simplifies to 1:9.
Looking at each of the tables, we can see that only option A matches this ratio.
Therefore, the answer is A.
Draw and use a double number line diagram to model and solve the problem below.
Leah gets to paint her room since she bought a new bedspread set. Two gallons of paint covers 800 square feet. How many gallons of paint will Leah need to paint her entire room, which is 1,200 square feet?
A.
4.5 gallons
B.
3 gallons
C.
1.5 gallons
D.
3.5 gallons
Leah gets to paint her room since she bought a new bedspread set. Two gallons of paint covers 800 square feet. How many gallons of paint will Leah need to paint her entire room, which is 1,200 square feet?
A.
4.5 gallons
B.
3 gallons
C.
1.5 gallons
D.
3.5 gallons
To create a double number line diagram, we first need to determine the ratio of gallons of paint to square feet.
From the problem, we know that 2 gallons of paint covers 800 square feet. Simplifying this ratio, we get:
1 gallon : 400 square feet
Using this ratio, we can set up a double number line diagram:
```
1 2 3
0 |-----400------|-----800------|----1200-----|
| | |
G G G
```
In the diagram, each tick mark on the top line represents 400 square feet, and each tick mark on the bottom line represents 1 gallon of paint. We can see that to cover 1200 square feet, we need to go from 2 gallons of paint to 3 gallons of paint, since 2 gallons covers 800 square feet and 3 gallons covers 1200 square feet.
Therefore, Leah will need 3 gallons of paint to paint her entire room.
The answer is B. 3 gallons.
From the problem, we know that 2 gallons of paint covers 800 square feet. Simplifying this ratio, we get:
1 gallon : 400 square feet
Using this ratio, we can set up a double number line diagram:
```
1 2 3
0 |-----400------|-----800------|----1200-----|
| | |
G G G
```
In the diagram, each tick mark on the top line represents 400 square feet, and each tick mark on the bottom line represents 1 gallon of paint. We can see that to cover 1200 square feet, we need to go from 2 gallons of paint to 3 gallons of paint, since 2 gallons covers 800 square feet and 3 gallons covers 1200 square feet.
Therefore, Leah will need 3 gallons of paint to paint her entire room.
The answer is B. 3 gallons.
Maria and Ming start at the same point and drive in opposite directions. Maria drives 54 mph and Ming drives 66 mph. How far apart will they be in 3 hours?
A.
228 miles
B.
370 miles
C.
360 miles
D.
120 miles
A.
228 miles
B.
370 miles
C.
360 miles
D.
120 miles
In one hour, Maria will have traveled 54 miles, and Ming will have traveled 66 miles.
So, in three hours, Maria will have traveled 54 x 3 = 162 miles, and Ming will have traveled 66 x 3 = 198 miles.
To find out how far apart they are, we can add their distances:
162 + 198 = 360
Therefore, they will be 360 miles apart in 3 hours.
The answer is C. 360 miles.
So, in three hours, Maria will have traveled 54 x 3 = 162 miles, and Ming will have traveled 66 x 3 = 198 miles.
To find out how far apart they are, we can add their distances:
162 + 198 = 360
Therefore, they will be 360 miles apart in 3 hours.
The answer is C. 360 miles.
Abdul's average speed is 40 mph in heavy traffic, and his average speed is 60 mph in light traffic. If he was in heavy traffic for 1 hour and light traffic for 2 hours, how far did Abdul travel?
A.
100 miles
B.
52 miles
C.
200 miles
D.
160 miles
A.
100 miles
B.
52 miles
C.
200 miles
D.
160 miles
In one hour of heavy traffic, Abdul will travel 40 miles.
In two hours of light traffic, Abdul will travel 60 x 2 = 120 miles.
So in total, Abdul will travel 40 + 120 = 160 miles.
Therefore, the answer is D. 160 miles.
In two hours of light traffic, Abdul will travel 60 x 2 = 120 miles.
So in total, Abdul will travel 40 + 120 = 160 miles.
Therefore, the answer is D. 160 miles.
Mishka is on a long road trip, and she averages 65 mph for 2 hours while she's driving on the highway. While she's driving on side roads for 1 hour, she only averages 40 mph. What is the total distance that she covers on her road trip?
A.
170 miles
B.
66 miles
C.
105 miles
D.
210 miles
A.
170 miles
B.
66 miles
C.
105 miles
D.
210 miles
In two hours on the highway, Mishka will travel 65 x 2 = 130 miles.
In one hour on the side roads, Mishka will travel 40 x 1 = 40 miles.
So in total, Mishka will travel 130 + 40 = 170 miles.
Therefore, the answer is A. 170 miles.
In one hour on the side roads, Mishka will travel 40 x 1 = 40 miles.
So in total, Mishka will travel 130 + 40 = 170 miles.
Therefore, the answer is A. 170 miles.
John is working for his dad during his summer vacation. Complete the rate chart below to find how much money John makes in a certain number of days.
Number of Days 12 15 18 21 24
Total Amount of Money Made (in dollars) 240 ? 360 420 480
A.
300
B.
320
C.
330
D.
290
Number of Days 12 15 18 21 24
Total Amount of Money Made (in dollars) 240 ? 360 420 480
A.
300
B.
320
C.
330
D.
290
We can use the rate of money made per day to fill in the missing value in the table.
To find the rate, we can subtract the total amount of money made on the first and third days, and divide by the number of days:
(360 - 240) / (18 - 12) = 120 / 6 = 20
So, John makes $20 per day.
Using this rate, we can fill in the missing value in the table by multiplying the number of days by the rate:
15 x 20 = 300
Therefore, John makes $300 in 15 days.
The answer is A. 300.
To find the rate, we can subtract the total amount of money made on the first and third days, and divide by the number of days:
(360 - 240) / (18 - 12) = 120 / 6 = 20
So, John makes $20 per day.
Using this rate, we can fill in the missing value in the table by multiplying the number of days by the rate:
15 x 20 = 300
Therefore, John makes $300 in 15 days.
The answer is A. 300.
Draw and use a double number line diagram to model and solve the problem below.
Sam wanted to buy candy for all of his friends to share at lunch. One pound of chocolates cost $6.95, but Sam only needs 0.6 of a pound. What will be the total cost for the chocolates Sam buys?
A.
$11.58
B.
$2.78
C.
$4.20
D.
$4.17
Sam wanted to buy candy for all of his friends to share at lunch. One pound of chocolates cost $6.95, but Sam only needs 0.6 of a pound. What will be the total cost for the chocolates Sam buys?
A.
$11.58
B.
$2.78
C.
$4.20
D.
$4.17
To create a double number line diagram, we first need to determine the rate of cost per pound of chocolates.
From the problem, we know that one pound of chocolates costs $6.95. Using this rate, we can set up a double number line diagram:
```
6.95 13.90
0 |--------|-----------------|
| |
1 lb 2 lbs
From the problem, we know that one pound of chocolates costs $6.95. Using this rate, we can set up a double number line diagram:
```
6.95 13.90
0 |--------|-----------------|
| |
1 lb 2 lbs
Sam wanted to buy candy for all of his friends to share at lunch. One pound of chocolates cost $6.95, but Sam only needs 0.6 of a pound. What will be the total cost for the chocolates Sam buys?
A.
$11.58
B.
$2.78
C.
$4.20
D.
$4.17
A.
$11.58
B.
$2.78
C.
$4.20
D.
$4.17
1 answer