11 of 2011 of 20 Items
08:24
Question
Susan printed 50 pictures of her family from a digital album called “Susan’s Family” on her social media account. Of these 50 pictures, 18 show both her children and grandchildren, 8 show only her children, and 24 show only her grandchildren.
Susan is in 1 of the pictures that show only her children and 1 of the pictures that show
2 4only her grandchildren.
Based on this information, which statement is NOT true?
Responses
A The probability of randomly selecting a picture that does NOT show Susan is 80%.The probability of randomly selecting a picture that does NOT show Susan is 80%.
B The probability of randomly selecting a picture that shows Susan’s grandchildren is 3 times the probability of randomly selecting a picture that shows Susan’s children.The probability of randomly selecting a picture that shows Susan’s grandchildren is 3 times the probability of randomly selecting a picture that shows Susan’s children.
C The probability of randomly selecting a picture that shows Susan’s grandchildren is 84%.The probability of randomly selecting a picture that shows Susan’s grandchildren is 84%.
D The probability of randomly selecting a picture that shows both Susan’s children and grandchildren is more than twice the probability of randomly selecting a picture that shows only Susan’s children.The probability of randomly selecting a picture that shows both Susan’s children and grandchildren is more than twice the probability of randomly selecting a picture that shows only Susan’s children.
21 answers
C The probability of randomly selecting a picture that shows Susan’s grandchildren is 84%.
A jacket is reduced from $20 to $14. By what percentage was the price of the jacket reduced? ?
Responses
A 25%25%
B 20%20%
C 15%15%
D 30%
Responses
A 25%25%
B 20%20%
C 15%15%
D 30%
To find the percentage by which the price of the jacket was reduced, we can use the formula:
Percentage reduction = (Original price - Reduced price) / Original price * 100
In this case, the original price of the jacket is $20 and the reduced price is $14. Plugging these values into the formula, we get:
Percentage reduction = (20 - 14) / 20 * 100
Percentage reduction = 6 / 20 * 100
Percentage reduction = 0.3 * 100
Percentage reduction = 30%
Therefore, the correct answer is D) 30%.
Percentage reduction = (Original price - Reduced price) / Original price * 100
In this case, the original price of the jacket is $20 and the reduced price is $14. Plugging these values into the formula, we get:
Percentage reduction = (20 - 14) / 20 * 100
Percentage reduction = 6 / 20 * 100
Percentage reduction = 0.3 * 100
Percentage reduction = 30%
Therefore, the correct answer is D) 30%.
Carrie walked 6 miles per day. Which table represents y, the number of miles Carrie walked in x days.
Responses
A
Carrie's Walks
Number of Days, x Distance (miles), y
3 6
6 6
9 6
12 6Carrie's Walks Number of Days, x Distance (miles), y 3 6 6 6 9 6 12 6
B
Carrie's Walks
Number of Days, x Distance (miles), y
1 18
2 36
3 54
4 72Carrie's Walks Number of Days, x Distance (miles), y 1 18 2 36 3 54 4 72
C
Carrie's Walks
Number of Days, x Distance (miles), y
1 3
2 6
3 9
4 12Carrie's Walks Number of Days, x Distance (miles), y 1 3 2 6 3 9 4 12
D
Carrie's Walks
Number of Days, x Distance (miles), y
3 18
6 36
9 54
12 72
Responses
A
Carrie's Walks
Number of Days, x Distance (miles), y
3 6
6 6
9 6
12 6Carrie's Walks Number of Days, x Distance (miles), y 3 6 6 6 9 6 12 6
B
Carrie's Walks
Number of Days, x Distance (miles), y
1 18
2 36
3 54
4 72Carrie's Walks Number of Days, x Distance (miles), y 1 18 2 36 3 54 4 72
C
Carrie's Walks
Number of Days, x Distance (miles), y
1 3
2 6
3 9
4 12Carrie's Walks Number of Days, x Distance (miles), y 1 3 2 6 3 9 4 12
D
Carrie's Walks
Number of Days, x Distance (miles), y
3 18
6 36
9 54
12 72
Based on the given information that Carrie walks 6 miles per day, the table that represents y, the number of miles Carrie walked in x days, would be:
C) Carrie's Walks
Number of Days, x Distance (miles), y
1 6
2 12
3 18
4 24
C) Carrie's Walks
Number of Days, x Distance (miles), y
1 6
2 12
3 18
4 24
The Community Center has exercise classes on Monday and Friday.
The Monday class is 1 3 hours and the Friday class is 1 1 hours.
4 2Patrick attended both exercise classes last week and this week.
How many hours did Patrick spend in exercise classes last week and this week?
Responses
A
3 1 hours
43 1 hours 4
B
6 1 hours
26 1 hours 2
C
8 1 hours
28 1 hours 2
D
6 1 hours
4
The Monday class is 1 3 hours and the Friday class is 1 1 hours.
4 2Patrick attended both exercise classes last week and this week.
How many hours did Patrick spend in exercise classes last week and this week?
Responses
A
3 1 hours
43 1 hours 4
B
6 1 hours
26 1 hours 2
C
8 1 hours
28 1 hours 2
D
6 1 hours
4
To calculate the total number of hours Patrick spent in exercise classes last week and this week, we need to add the hours of the Monday and Friday classes together.
For last week:
Monday class: 3 hours
Friday class: 1 hour
Total hours: 3 + 1 = 4 hours
For this week:
Monday class: 3 hours
Friday class: 1 hour
Total hours: 3 + 1 = 4 hours
To find the total hours for both weeks, we add the totals together:
4 hours + 4 hours = 8 hours
Therefore, the correct answer is C) 8 hours.
For last week:
Monday class: 3 hours
Friday class: 1 hour
Total hours: 3 + 1 = 4 hours
For this week:
Monday class: 3 hours
Friday class: 1 hour
Total hours: 3 + 1 = 4 hours
To find the total hours for both weeks, we add the totals together:
4 hours + 4 hours = 8 hours
Therefore, the correct answer is C) 8 hours.
Yesterday, Marissa walked 1 1 miles from school to the ice cream shop and 2 of a mile from
2 3the ice cream shop to her house. How many miles did Marissa walk in all?
Responses
A
1 3
51 3 5
B
5
65 6
C
- 5
6- 5 6
D
2 1
6
2 3the ice cream shop to her house. How many miles did Marissa walk in all?
Responses
A
1 3
51 3 5
B
5
65 6
C
- 5
6- 5 6
D
2 1
6
To find the total number of miles Marissa walked, we need to add the distance from school to the ice cream shop and the distance from the ice cream shop to her house.
Distance from school to the ice cream shop: 11 miles
Distance from the ice cream shop to her house: 2/3 of a mile
To add the distances together, we need to find a common denominator for the fractions. In this case, the lowest common denominator is 3.
Converting the fraction 2/3 to have a denominator of 3, we get: (2/3) * (3/3) = 6/9
Adding the distances together:
11 miles + 6/9 miles = 99/9 miles + 6/9 miles = 105/9 miles
Simplifying the fraction, we get:
105/9 miles = 11 6/9 miles
Therefore, the correct answer is B) 11 6/9 miles.
Distance from school to the ice cream shop: 11 miles
Distance from the ice cream shop to her house: 2/3 of a mile
To add the distances together, we need to find a common denominator for the fractions. In this case, the lowest common denominator is 3.
Converting the fraction 2/3 to have a denominator of 3, we get: (2/3) * (3/3) = 6/9
Adding the distances together:
11 miles + 6/9 miles = 99/9 miles + 6/9 miles = 105/9 miles
Simplifying the fraction, we get:
105/9 miles = 11 6/9 miles
Therefore, the correct answer is B) 11 6/9 miles.
Yesterday, Marissa walked 1 1 miles from school to the ice cream shop and 2 of a mile from
2 3the ice cream shop to her house. How many miles did Marissa walk in all?
Responses
A 1 3/5
B 5/6
C -5/6
D 2 1/6
2 3the ice cream shop to her house. How many miles did Marissa walk in all?
Responses
A 1 3/5
B 5/6
C -5/6
D 2 1/6
To find the total number of miles Marissa walked, we need to add the distance from school to the ice cream shop and the distance from the ice cream shop to her house.
Distance from school to the ice cream shop: 1 1/2 miles (or 3/2 miles)
Distance from the ice cream shop to her house: 2/3 of a mile
To add the distances together, we need to find a common denominator for the fractions. In this case, the lowest common denominator is 6.
Converting the mixed number 1 1/2 to an improper fraction with a denominator of 6, we get:
1 1/2 = (6/6) + (3/6) = 9/6 + 3/6 = 12/6
Adding the distances together:
12/6 miles + 2/3 miles = (12/6) + (4/6) = 16/6 miles
Simplifying the fraction, we get:
16/6 miles = 2 2/6 miles = 2 1/3 miles
Therefore, the correct answer is not listed among the given responses.
Distance from school to the ice cream shop: 1 1/2 miles (or 3/2 miles)
Distance from the ice cream shop to her house: 2/3 of a mile
To add the distances together, we need to find a common denominator for the fractions. In this case, the lowest common denominator is 6.
Converting the mixed number 1 1/2 to an improper fraction with a denominator of 6, we get:
1 1/2 = (6/6) + (3/6) = 9/6 + 3/6 = 12/6
Adding the distances together:
12/6 miles + 2/3 miles = (12/6) + (4/6) = 16/6 miles
Simplifying the fraction, we get:
16/6 miles = 2 2/6 miles = 2 1/3 miles
Therefore, the correct answer is not listed among the given responses.
Felicity is purchasing new carpet for her bedroom. She needs 130 4 square feet of carpet to
5cover her room. The price for carpet is $4.50 per square foot. How much will it cost Felicity to purchase carpet for her bedroom?
Responses
A $588.60$588.60
B $29.07$29.07
C $135.30$135.30
D $126.30
5cover her room. The price for carpet is $4.50 per square foot. How much will it cost Felicity to purchase carpet for her bedroom?
Responses
A $588.60$588.60
B $29.07$29.07
C $135.30$135.30
D $126.30
To calculate the cost of carpet for Felicity's bedroom, we need to multiply the area of the room by the price per square foot of the carpet.
Area of the room: 130 4/5 square feet (or 130.8 square feet)
Price per square foot: $4.50
To find the total cost, we multiply the area by the price:
130.8 square feet * $4.50/square foot = $588.60
Therefore, the correct answer is A) $588.60.
Area of the room: 130 4/5 square feet (or 130.8 square feet)
Price per square foot: $4.50
To find the total cost, we multiply the area by the price:
130.8 square feet * $4.50/square foot = $588.60
Therefore, the correct answer is A) $588.60.
Zach deposited $4,000 into an account that earns 6% annual interest compounded quarterly. He did not make any deposits or withdrawals. How much money was in the account after 5 years?
Responses
A $538.74$538.74
B $120,000$120,000
C $1,200.00$1,200.00
D $5,387.42
Responses
A $538.74$538.74
B $120,000$120,000
C $1,200.00$1,200.00
D $5,387.42
To calculate the amount of money in the account after 5 years with compound interest, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = final amount
P = principal amount (initial deposit)
r = annual interest rate (as a decimal)
n = number of times interest is compounded per year
t = number of years
In this case:
P = $4,000
r = 6% = 0.06 (as a decimal)
n = 4 (compounded quarterly)
t = 5 years
Plugging these values into the formula:
A = $4,000(1 + 0.06/4)^(4*5)
A = $4,000(1 + 0.015)^20
A = $4,000(1.015)^20
A ≈ $4,000(1.3444991)
A ≈ $5,377.9964
Therefore, the correct answer is D) $5,387.42 (rounded to the nearest cent).
A = P(1 + r/n)^(nt)
Where:
A = final amount
P = principal amount (initial deposit)
r = annual interest rate (as a decimal)
n = number of times interest is compounded per year
t = number of years
In this case:
P = $4,000
r = 6% = 0.06 (as a decimal)
n = 4 (compounded quarterly)
t = 5 years
Plugging these values into the formula:
A = $4,000(1 + 0.06/4)^(4*5)
A = $4,000(1 + 0.015)^20
A = $4,000(1.015)^20
A ≈ $4,000(1.3444991)
A ≈ $5,377.9964
Therefore, the correct answer is D) $5,387.42 (rounded to the nearest cent).
A car dealership offers two types of discounts.
Discount 1: Take 10% off the original price of a car built last year and then receive a $2,500 rebate.
Discount 2: Take 15% off the original price of a car built this year and then receive a $1,500 rebate.
A customer is deciding between two cars.
Car A was built last year and has a price of $26,750.
Car B was built this year and has an original price of $24,012.
Based on this information, which statement is true?
Responses
A The customer would pay $21,000 for Car A.The customer would pay $21,000 for Car A.
B The customer would pay $18,250 for Car B.The customer would pay $18,250 for Car B.
C The customer would pay $21,575 for Car A.The customer would pay $21,575 for Car A.
D The customer would pay $18,645 for Car B. The customer would pay $18,645 for Car B.
Discount 1: Take 10% off the original price of a car built last year and then receive a $2,500 rebate.
Discount 2: Take 15% off the original price of a car built this year and then receive a $1,500 rebate.
A customer is deciding between two cars.
Car A was built last year and has a price of $26,750.
Car B was built this year and has an original price of $24,012.
Based on this information, which statement is true?
Responses
A The customer would pay $21,000 for Car A.The customer would pay $21,000 for Car A.
B The customer would pay $18,250 for Car B.The customer would pay $18,250 for Car B.
C The customer would pay $21,575 for Car A.The customer would pay $21,575 for Car A.
D The customer would pay $18,645 for Car B. The customer would pay $18,645 for Car B.
To calculate the final price for each car after applying the discounts and rebates, we can follow the given information.
For Car A:
Discount 1: 10% off the original price of $26,750
= $26,750 * 0.10
= $2,675
After applying the rebate of $2,500:
Final price for Car A = Original price - Discount 1 - Rebate
= $26,750 - $2,675 - $2,500
= $21,575
For Car B:
Discount 2: 15% off the original price of $24,012
= $24,012 * 0.15
= $3,601.80
After applying the rebate of $1,500:
Final price for Car B = Original price - Discount 2 - Rebate
= $24,012 - $3,601.80 - $1,500
= $18,910.20
Therefore, the correct statement is:
C) The customer would pay $21,575 for Car A and $18,910.20 for Car B.
For Car A:
Discount 1: 10% off the original price of $26,750
= $26,750 * 0.10
= $2,675
After applying the rebate of $2,500:
Final price for Car A = Original price - Discount 1 - Rebate
= $26,750 - $2,675 - $2,500
= $21,575
For Car B:
Discount 2: 15% off the original price of $24,012
= $24,012 * 0.15
= $3,601.80
After applying the rebate of $1,500:
Final price for Car B = Original price - Discount 2 - Rebate
= $24,012 - $3,601.80 - $1,500
= $18,910.20
Therefore, the correct statement is:
C) The customer would pay $21,575 for Car A and $18,910.20 for Car B.
The angle measure of a triangle are shown in the diagram.
(2x + 13)
75
(67 - x)
What is the value of x?
Responses
A 25
B 20
C 30
D 45
(2x + 13)
75
(67 - x)
What is the value of x?
Responses
A 25
B 20
C 30
D 45
The sum of the angle measures in a triangle is always 180 degrees.
In this case, we have the following angles:
(2x + 13)
75
(67 - x)
To find the value of x, we can set up the equation:
(2x + 13) + 75 + (67 - x) = 180
Combining like terms:
2x + 75 + 67 - x = 180
x + 142 = 180
x = 180 - 142
x = 38
Therefore, the correct answer is not listed among the given responses.
In this case, we have the following angles:
(2x + 13)
75
(67 - x)
To find the value of x, we can set up the equation:
(2x + 13) + 75 + (67 - x) = 180
Combining like terms:
2x + 75 + 67 - x = 180
x + 142 = 180
x = 180 - 142
x = 38
Therefore, the correct answer is not listed among the given responses.
Which number line represents the solution to the inequality
–3x – 6 < 9 ?
Responses
A Image with alt text:
B Image with alt text:
C Image with alt text:
D Image with alt text:
–3x – 6 < 9 ?
Responses
A Image with alt text:
B Image with alt text:
C Image with alt text:
D Image with alt text:
Without the available response images, it is not possible to determine which number line represents the solution to the given inequality. Please provide the images or descriptions of the number lines for further assistance.