1. On Saturday morning the temperature was 76°F. The temperature dropped 9°F and then rose 13°F. How much does the temperature need to rise or fall to return to the initial temperature of 76°F?(1 point)
To find the fraction that represents the part of the adoptions for cats and dogs, we need to add the fractions for dogs and cats together.
The fraction representing the dogs is 2/3, and the fraction representing the cats is 1/4.
To add these fractions together, we need to find a common denominator, which is 12 in this case.
The fraction representing the dogs can be written with a denominator of 12 by multiplying both the numerator and denominator by 4: (2/3) * (4/4) = 8/12.
The fraction representing the cats can be written with a denominator of 12 by multiplying both the numerator and denominator by 3: (1/4) * (3/3) = 3/12.
Adding the fractions together, we get: 8/12 + 3/12 = 11/12.
Therefore, the fraction that represents the part of the adoptions for cats and dogs together is 11/12.
The temperature dropped 9°F and then rose 13°F, so it is currently 4°F higher than the initial temperature of 76°F. To return to the initial temperature, the temperature needs to fall by 4°F.
2. What is the distance between -23 and 9 on a number line?(1 point)
To find the distance between two numbers on a number line, you subtract the smaller number from the larger number and take the absolute value of the result.
So, the distance between -23 and 9 is: |9 - (-23)| = |9 + 23| = 32.
−27−(−6)
To find the result of the expression −27−(−6), you can simplify it by removing the parentheses and applying the rule of signs.
Since you have a negative sign in front of the parentheses, when you remove them, it changes the sign of each term inside.
Therefore, the expression becomes −27 + 6.
Now you can add the two numbers:
−27 + 6 = -21.
4.
13−(−19)=
To find the result of the expression 13−(−19), you can simplify it by removing the parentheses and applying the rule of signs.
Since you have a negative sign in front of the parentheses, when you remove them, it changes the sign of each term inside.
Therefore, the expression becomes 13 + 19.
Now you can add the two numbers:
13 + 19 = 32.
5.
20+(−30)
To find the result of the expression 20+(−30), you can simply add the two numbers:
20 + (-30) = -10.