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During batting practice, Thomas hits fifteen balls to the outfield, eight balls to right field, and seven balls to left field. What is the ratio of balls hit to left field to balls hit to right field? Represent the ratio as a decimal and round it to the nearest hundredth.(1 point) Responses 1.14 1.14 0.47 0.47 0.53 0.53 0.88 0.88 Question 2 A) Use the table to answer the question. 6th-Grade Average Total of Students 100–90 32 89–80 65 79–70 27 What is the part-to-whole ratio for the 6th-grade average of 79–70? Give your answer using a colon. (1 point) $$ Question 3 A) Use the image to answer the question. A baseball team has 1,200 tickets to sell. The ratio of tickets sold to unsold tickets is 5:3. What value should be inserted into each rectangle? (1 point) The number $$ should be inserted into each rectangle. Question 4 A)Best friends Olivia and Sylvia both get a weekly allowance. Olivia’s and Sylvia’s allowances are in the ratio 2:3. If Sylvia gets $21 one week, how much did Olivia get? Use a tape diagram to help organize your thinking.(1 point) $$$ Question 5 A) Use the table to answer the question. Lower Level Upper Level 6 5 30 25 60 50 This two-column table shows the number of lower-level and upper-level tickets sold. What is an equivalent part-to-part ratio? (1 point) Responses 100 lower level:120 upper level ratio of 100 lower level to 120 upper level 120 lower level:100 upper level ratio of 120 lower level to 100 upper level 105 lower level:106 upper level ratio of 105 lower level to 106 upper level 106 lower level:105 upper level ratio of 106 lower level to 105 upper level Question 6 A) Use the table to answer the question. Quarts of Red Paint Quarts of Yellow Paint Totals 3 2 5 21 14 35 A ratio table is given showing quarts of red and yellow paint. What is an equivalent part-to-part-to-whole ratios in a three-column table? (1 point) Responses 22:23:45 ratio of 22 to 23 to 45 10:15:25 ratio of 10 to 15 to 25 15:10:25 ratio of 15 to 10 to 25 23:22:45 ratio of 23 to 22 to 45 Question 7 A) Use the image to answer the question. The ratio of parts of vinegar to baking soda for a cleaning mixture is 3 to 1. How many parts of vinegar are needed if there are 6 parts of baking soda? (1 point) Responses 3 3 19 19 8 8 18 18 Question 8 A)Convert 0.4 to a simplified fraction.(1 point) Responses 45 Start Fraction 4 over 5 End Fraction 25 Start Fraction 2 over 5 End Fraction 15 Start Fraction 1 over 5 End Fraction 14 Start Fraction 1 over 4 End Fraction Question 9 A)Vinh is saving for a standing mixer that costs $400. He currently has $160 saved. What percentage does he have saved?(1 point) Responses 30% 30% 40% 40% 16% 16% 20% 20%
Question 1:
The ratio of balls hit to left field to balls hit to right field is given by 7:8. To convert this ratio to a decimal, divide 7 by 8 and round to the nearest hundredth:
7/8 ≈ 0.88
Question 2:
The part-to-whole ratio for the 6th-grade average of 79–70 is 27:124. This ratio represents the number of students who scored 79–70 out of the total number of students, which is 32+65+27 = 124.
Question 3:
The ratio of tickets sold to unsold tickets is 5:3. Since the total number of tickets is 1,200, we can find the value for each rectangle by dividing 1,200 into 5 parts for sold tickets and 3 parts for unsold tickets:
Value for each rectangle = (1,200/5) = 240
Question 4:
Since the ratio of Olivia's allowance to Sylvia's allowance is 2:3, if Sylvia gets $21, Olivia would get:
(2/3) * $21 = $14
Question 5:
To find an equivalent part-to-part ratio, we need to find a common multiple of the lower level and upper level tickets. The common multiple of 6 and 5 is 30, so the equivalent ratio is 30 lower level:30 upper level, which simplifies to 6:5.
Question 6:
An equivalent part-to-part-to-whole ratio can be found by finding a common multiple of the three given ratios. One possible common multiple is 45, so the equivalent ratio is 22:23:45.
Question 7:
The ratio of parts of vinegar to baking soda is 3:1. If there are 6 parts of baking soda, then there would be:
(3/1) * 6 = 18 parts of vinegar needed.
Question 8:
To convert 0.4 to a simplified fraction, we can write it as 4/10. Simplifying the fraction gives:
4/10 = 2/5
Question 9:
Vinh has saved $160 out of the $400 standing mixer. To find the percentage he has saved, divide $160 by $400 and convert the result to a percentage:
(160/400) * 100% = 40%
Question 1: Ratio of balls hit to left field to balls hit to right field
Total balls hit to left field = 7
Total balls hit to right field = 8
Ratio of balls hit to left field to balls hit to right field = 7/8 ≈ 0.88 (rounded to the nearest hundredth)
Answer: 0.88
Question 2: Part-to-whole ratio for the 6th-grade average of 79-70
Total students with the average of 79-70 = 27
Total students = 32 + 65 + 27 = 124
Part-to-whole ratio = 27:124
Answer: 27:124
Question 3: The ratio of tickets sold to unsold tickets
Total tickets = 1200
Ratio of tickets sold to unsold tickets = 5:3
To find the values to be inserted in each rectangle, we need to divide 1200 into 5 + 3 parts.
Value for each rectangle = (5/8) * 1200 ≈ 750
Answer: The number 750 should be inserted into each rectangle.
Question 4: Olivia and Sylvia's allowances ratio
Sylvia's allowance = $21
Ratio of Olivia's allowance to Sylvia's allowance = 2:3
To find how much Olivia got, we need to divide $21 into 2 + 3 parts.
Olivia's allowance = (2/5) * 21 = $8.40
Answer: Olivia got $8.40.
Question 5: Equivalent part-to-part ratio
Lower level tickets sold = 30
Upper level tickets sold = 50
To find an equivalent part-to-part ratio, we need to simplify the ratio 30:50.
Equivalent ratio = 3:5
Answer: The equivalent part-to-part ratio is 3:5.
Question 6: Equivalent part-to-part-to-whole ratios in a three-column table
Quarts of red paint = 21
Quarts of yellow paint = 14
Total quarts = 35
To find an equivalent part-to-part-to-whole ratio, we need to simplify the ratios 21:14:35.
Equivalent ratio = 3:2:5
Answer: The equivalent part-to-part-to-whole ratio is 3:2:5.
Question 7: Ratio of vinegar to baking soda for the cleaning mixture
Parts of baking soda = 6
Ratio of vinegar to baking soda = 3:1
To find how many parts of vinegar are needed, we need to divide 6 into 3 parts.
Parts of vinegar needed = (3/4) * 6 = 4.5
Answer: 4.5 parts of vinegar are needed.
Question 8: Convert 0.4 to a simplified fraction
0.4 = 4/10 = 2/5
Answer: 0.4 can be simplified to 2/5.
Question 9: Vinh's savings as a percentage
Cost of standing mixer = $400
Vinh's savings = $160
Percentage saved = (160/400) * 100 = 40%
Answer: Vinh has saved 40% of the cost.
Question 1:
To find the ratio of balls hit to left field to balls hit to right field, we need to divide the number of balls hit to left field by the number of balls hit to right field.
Left field: 7 balls
Right field: 8 balls
Ratio = 7/8
Rounding this ratio to the nearest hundredth gives us 0.88.
Question 2:
To find the part-to-whole ratio for the 6th-grade average of 79-70, we need to divide the number of students in the 79-70 range by the total number of students.
Number of students in 79-70 range: 27
Total number of students: 100
Ratio = 27/100
So the part-to-whole ratio is 27:100.
Question 3:
The ratio of tickets sold to unsold tickets is given as 5:3. Since there are 1,200 tickets in total, we can divide it into 8 parts (5 + 3 = 8) to determine the value of each part.
Total tickets: 1,200
Each part = 1,200/8 = 150
So the number 150 should be inserted into each rectangle.
Question 4:
The ratio of Olivia's allowance to Sylvia's allowance is given as 2:3. If Sylvia gets $21, we can set up a proportion to find Olivia's allowance.
Olivia's allowance/Sylvia's allowance = 2/3
Let Olivia's allowance be x.
x/$21 = 2/3
Cross-multiplying, we get:
3x = 2 * $21
3x = $42
x = $42/3
x = $14
So Olivia gets $14.
Question 5:
To find an equivalent part-to-part ratio, we need to simplify the given ratio of lower level tickets to upper level tickets.
Lower level: 6, 30, 60
Upper level: 5, 25, 50
Simplifying the ratio, we get:
Lower level: 6/5, 30/25, 60/50
Upper level: 5/5, 25/25, 50/50
This simplifies to:
Lower level: 6/5, 6/5, 6/5
Upper level: 1/1, 1/1, 1/1
So an equivalent part-to-part ratio is 6:5.
Question 6:
To find an equivalent part-to-part-to-whole ratio, we need to simplify the given ratio table.
Quarts of red paint: 3, 21
Quarts of yellow paint: 2, 14
Totals: 5, 35
Simplifying the ratio, we get:
Quarts of red paint: 3/2, 21/14
Quarts of yellow paint: 2/2, 14/14
Totals: 5/2, 35/14
This simplifies to:
Quarts of red paint: 3/2, 3/2
Quarts of yellow paint: 1/1, 1/1
Totals: 5/2, 5/2
So an equivalent part-to-part-to-whole ratio is 3:2:5.
Question 7:
The ratio of vinegar to baking soda is 3:1. We are given that there are 6 parts of baking soda, so to find the number of parts of vinegar, we multiply the baking soda parts by the ratio.
Baking soda: 6 parts
Vinegar = 3/1 * 6 = 18
So 18 parts of vinegar are needed.
Question 8:
To convert 0.4 to a simplified fraction, we can write it as a fraction with the decimal as the numerator and 1 as the denominator.
0.4 = 4/10
To simplify this fraction, we divide both the numerator and denominator by their greatest common divisor, which is 2.
4/10 simplified is 2/5.
So 0.4 is equivalent to 2/5.
Question 9:
To find the percentage that Vinh has saved, we need to divide the amount he has saved by the total cost of the standing mixer and then multiply by 100.
Amount saved: $160
Total cost: $400
Percentage saved = (160/400) * 100
Percentage saved = 0.4 * 100
Percentage saved = 40%
So Vinh has saved 40% of the total cost.