11. Mrs. Taylor is crocheting a blanket for her daughter. She made 3/8
of the blanket green, 1/4
of the blanket blue, and the rest of the blanket was yellow. Which fraction represents the yellow part of the blanket?
1/2
3/4
5/8
3/8
To find out how much of the cake was left, we need to subtract the fractions eaten by Aliyah's siblings and friends from the whole cake.
If Aliyah's siblings ate 1/4 of the cake and her friends ate 2/3 of the cake:
1 - 1/4 - 2/3 = 12/12 - 3/12 - 8/12 = 1/12
Therefore, 1/12 of the cake was left.
Answer: 1/12
To solve this problem, we need to find the fraction that represents the yellow part of the blanket.
We know that Mrs. Taylor made 3/8 of the blanket green and 1/4 of the blanket blue.
To find the yellow part, we need to subtract the fractions of the blanket that are green and blue from 1 (because the fractions need to add up to the whole blanket).
1 - 3/8 - 1/4 = 8/8 - 3/8 - 2/8 = 3/8 (since 8/8 is the same as 1)
Therefore, the yellow part of the blanket is represented by the fraction 3/8.
Answer: 3/8
12. For Aliyah’s graduation party, her mom made her a chocolate cake. Her siblings ate 1/4
of the cake, and her friends ate 2/3
of the cake. How much of the cake was left?(1 point)
Responses
3/4
5/6
1/12
1/2
13.
−84−(−45)=
(1 point)
Responses
-49
-49
39
39
-129
-129
-39
To solve the expression −84−(−45), we need to subtract the negative value from -84.
When we subtract a negative number, it is the same as adding the positive value.
So, −84−(−45) is equivalent to -84 + 45.
-84 + 45 = -39.
Therefore, −84−(−45) equals -39.
Answer: -39
14. In the Manchester Building, the elevation of the basement floor is -16 ft. The elevation of the roof is 37 feet. What is the distance from the basement floor to the roof? (Hint: Draw a picture or a number line.)(1 point)
Responses
53
53
-53
-53
-21
-21
21
To find the distance from the basement floor to the roof, we subtract the elevation of the basement floor from the elevation of the roof.
37 ft - (-16 ft) = 37 ft + 16 ft = 53 ft.
Therefore, the distance from the basement floor to the roof is 53 feet.
Answer: 53
−8.5−(−3.7)=
(1 point)
Responses
12.2
12.2
4.8
4.8
-4.8
-4.8
-12.2
To solve the expression −8.5−(−3.7), we need to subtract the negative value from -8.5.
When we subtract a negative number, it is the same as adding the positive value.
So, −8.5−(−3.7) is equivalent to -8.5 + 3.7.
-8.5 + 3.7 = -4.8.
Therefore, −8.5−(−3.7) equals -4.8.
Answer: -4.8
25−(−80)=
(1 point)
Responses
105
105
-55
-55
565
565
115