PLEASE SHOW YOUR WORK ON HOW YOU GOT THESE ANSWERS!!

Question

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%

Answer 1

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%