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)
Fall 13°F
Rise 4°F
Fall 4°F
Rise 5°F
here are the correct answers for everything
1. Fall 4°F
2. 32
3. -12
4. 32
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5. -10
6. III only
7. Benjamin lost 6 pounds and then gained 8 pounds.
8. -27
9. −55 + (−18) = −73
10. Together they painted almost the entire shed.
11. 11/12
12. −7.963
13. -658 feet
14. 55 feet
15. 62
correct answers
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Thank you for providing the correct answers. I apologize for any incorrect responses earlier. Have a great day/night as well!
Fall 4°F
explain
To return to the initial temperature of 76°F, the temperature needs to fall by 9°F and then rise by 13°F.
Since the temperature already dropped 9°F, the temperature only needs to rise by the remaining difference between the dropped temperature and the initial temperature.
9°F - 9°F = 0°F
So, the temperature needs to rise by 0°F to return to the initial temperature of 76°F.
Therefore, the answer is rise 0°F or no change in temperature.
2. What is the distance between -23 and 9 on a number line?(1 point)
32
14
-14
-32
To find the distance between -23 and 9 on a number line, we need to calculate the absolute difference between the two numbers.
| -23 - 9 | = | -32 | = 32
Therefore, the distance between -23 and 9 on a number line is 32.
So, the answer is 32.
I. You gain 5 pounds.
II. You set your clock 5 hours ahead.
III. You use 5 gallons of gas.
The integer -5 would BEST represent which of these events?
(1 point)
I only
III only
I and III only
II and III only
The integer -5 would best represent event I only, where you gain 5 pounds.
This is because a negative sign (-) indicates a decrease or loss, so -5 represents a loss or decrease of 5 in the given context.
7. Which of these situations is NOT an example of two quantities that combine to make zero.(1 point)
Mary collects 12 bottle caps and then loses 12.
A business’s income is equal to its expenses.
Benjamin lost 6 pounds and then gained 8 pounds.
Madeline wins $20 and then pays the babysitter $20.
The situation that is NOT an example of two quantities that combine to make zero is:
A business’s income is equal to its expenses.
In this situation, the equality of income and expenses does not necessarily imply a combination of two opposing quantities that result in zero. It simply means that the business's income matches its expenses, and they may or may not be zero.
8. Jeffrey earned $52 at his job last week. On Saturday, he bought a video game that cost $25. Which number is the additive inverse of the amount of money Jerry has left?(1 point)
27
-25
-37
-27
The additive inverse of the amount of money Jerry has left would be the opposite or the negative value of that amount.
Jerry earned $52 and spent $25 on a video game, so the amount of money he has left is $52 - $25 = $27.
The additive inverse of $27 would be its negative value, which is -27.
Therefore, the answer is -27.
9. John used his debit card to withdraw $55 from the ATM. Then, he wrote a check for $18.00. Which equation represents the total change to John's account for these two transactions?(1 point)
55−18 = 37
−55 + (−18) = −73
-55 + 18 = -37
55 - (-18) = 73
The equation that represents the total change to John's account for these two transactions is:
55 - 18 = 37.
This equation represents John withdrawing $55 from the ATM and then subtracting the amount he wrote in the check ($18).
Therefore, the answer is 55 - 18 = 37.
10. Macy and Bill were painting the shed. Macy painted of the shed and Bill painted of the shed. Which statement is TRUE?(1 point)
Together they painted a little more than half the shed.
Together they painted almost the entire shed.
Together they didn’t even paint half of the shed.
Together they painted three-fourths of the shed.
To find the total fraction of the shed that Macy and Bill painted together, we need to add their individual fractions.
Macy painted 1/3 of the shed.
Bill painted 1/4 of the shed.
To add these fractions, we need to find a common denominator:
The least common multiple of 3 and 4 is 12.
Macy painted (1/3) * (4/4) = 4/12 of the shed.
Bill painted (1/4) * (3/3) = 3/12 of the shed.
Together, they painted (4/12) + (3/12) = 7/12 of the shed.
So, the statement that is TRUE is: Together, they painted a little more than half the shed, represented by 7/12 of the shed.
11. Sally runs an animal rescue company that allows families to adopt homeless pets. Last month, of the adopted animals were dogs and of the adoptions were cats. Rabbits and reptiles were also adopted. Which fraction represents the part of the adoptions for cats and dogs?(1 point)
1/12
5/12
11/12
3/7
To find the fraction that represents the part of the adoptions for cats and dogs, we need to add the fractions representing the adoptions of dogs and cats.
Let's denote the fraction representing the adoptions of dogs as d and the fraction representing the adoptions of cats as c.
Given that d = 5/12 and c = 3/7, we need to find the sum of d and c.
To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 12 * 7 = 84.
Converting the fractions to have a common denominator:
d = (5/12) * (7/7) = 35/84
c = (3/7) * (12/12) = 36/84
Now, we can add the fractions:
d + c = 35/84 + 36/84 = 71/84
Therefore, the fraction representing the part of the adoptions for cats and dogs is 71/84.
However, none of the given answer choices match this fraction.
1.567−11.83+2.3
(1 point)
−7.95
−7.963
2.773
7.96
1.567 - 11.83 + 2.3 = -7.963
Therefore, the answer is -7.963.
11. Sally runs an animal rescue company that allows families to adopt homeless pets. Last month, of the adopted animals were dogs and of the adoptions were cats. Rabbits and reptiles were also adopted. Which fraction represents the part of the adoptions for cats and dogs? (1point)
1/12
5/12
11/12
3/7
The fraction that represents the part of the adoptions for cats and dogs is:
5/12
This is because the total adoptions for dogs and cats were mentioned in the prompt, and the fraction representing the adoptions for cats and dogs is specifically mentioned as 5/12.
Therefore, the answer is 5/12.
13. The admiral is in a submarine that is 550 feet below sea level. The submarine then descends 108 feet. What is the new position of the submarine?(1 point)
658 feet
442 feet
-442 feet
-658 feet
To find the new position of the submarine, we need to subtract the descent distance of 108 feet from the initial depth of 550 feet below sea level.
550 feet - 108 feet = 442 feet
Therefore, the new position of the submarine is 442 feet below sea level.
So, the answer is 442 feet.
14. The Becker Department Store's basement is 15 feet below ground. If the total length of the building from basement to roof is 70 feet, what is the building's elevation above ground?(1 point)
55 feet
85 feet
65 feet
70 feet
To find the building's elevation above ground, we need to subtract the depth of the basement (15 feet) from the total length of the building (70 feet).
70 feet - 15 feet = 55 feet
Therefore, the building's elevation above ground is 55 feet.
So, the answer is 55 feet.