Determine the distance between −18.26 and −2.45 on a number line.(1 point)
Responses
20.71
20.71
−20.71
negative 20.71
−15.81
negative 15.81
15.81
The correct answer is 15.81.
Subtract 24−(−15).(1 point)
The result of the subtraction 24 - (-15) is 39.
What is 17 4/9 + 5/9 − 8 − 10?(1 point)
Responses
−7
negative 7
20
20
−1
negative 1
0
To solve the expression 17 4/9 + 5/9 - 8 - 10, we first add the fractions 4/9 and 5/9, which gives us 9/9 or simply 1.
Then we can rewrite the expression as 17 + 1 - 8 - 10.
Next, we can add 17 and 1, which gives us 18.
Finally, we can subtract 8 and 10 from 18 to get 0.
Therefore, the answer is 0.
Which context describes a difference of rational numbers?(1 point)
Responses
The team’s score did not change during the game.
The team’s score did not change during the game.
The team’s score increased when scoring.
The team’s score increased when scoring.
A football player loses yards on a play.
A football player loses yards on a play.
A football player gains yards on a play.
A football player gains yards on a play describes a difference of rational numbers.
Joey walked east for 15 2/3 meters from home. Then, he walked west for 21 34 meters. How far was Joey from home?(1 point)/
Joey was
meters from home.
To find out how far Joey was from home, we need to find the difference between the distance he walked east and the distance he walked west.
The distance Joey walked east is 15 2/3 meters.
The distance Joey walked west is 21 34 meters.
We can subtract these distances to find how far Joey was from home:
15 2/3 - 21 34
To subtract mixed numbers, we need to convert them into improper fractions.
15 2/3 = (3 * 15 + 2) / 3 = 47/3
21 34/1 = (1 * 21 + 34) / 1 = 55/1
Now, we can subtract:
47/3 - 55/1
To subtract fractions, we need to have a common denominator. The least common multiple of 3 and 1 is 3.
47/3 - 55/1 = (47*1)/(3*1) - (55*3)/(1*3) = 47/3 - 165/3 = (47 - 165)/3 = -118/3
So, Joey was -118/3 meters from home.
Joey walked east for 15 2/3 meters from home. Then, he walked west for 21 3/4 meters. How far was Joey from home?(1 point)
Joey was
meters from home.