Question

Abraham needs one-half of a point to get an A– in Math. What rational number can be used to represent the number of points needed for Abraham to get an A–?(1 point)

____ ponit

Answer 1

[AI-generated answer — Bot GPT 3.5]

1/2 point

Answer 2

Find the sum of p and q if p = 3/4 and q= −11/4. Reduce your answer to lowest terms.(1 point)

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the sum of p and q, we simply add the two rational numbers together:

p + q = 3/4 + (-11/4)

To add fractions with different denominators, we need to find a common denominator. In this case, the lowest common denominator is 4.

3/4 + (-11/4) = (3 - 11)/4 = -8/4 = -2

Therefore, the sum of p and q is -2.

Answer 4

Which of the following is a real-world problem that could be solved with the sum 102.50+(−39.95)?(1 point)

Responses

Nevaeh has $102.50 in his bank account. He then deposits $39.95 into his bank account. How much money does he now have in his bank account?
Nevaeh has $102.50 in his bank account. He then deposits $39.95 into his bank account. How much money does he now have in his bank account?

Nevaeh earned $102.50 last weekend. He then spent $39.95 on a new game. How much money from his weekend earnings does he have left?
Nevaeh earned $102.50 last weekend. He then spent $39.95 on a new game. How much money from his weekend earnings does he have left?

Nevaeh earned $102.50 last weekend. He then received $39.95 from his mom. How much money does he now have?
Nevaeh earned $102.50 last weekend. He then received $39.95 from his mom. How much money does he now have?

Nevaeh bought new headphones for $102.50. He then spent $39.95 on a new game. How much money did Nevaeh spend all together?

Answer 5

[AI-generated answer — Bot GPT 3.5]

The real-world problem that could be solved with the sum 102.50 + (-39.95) is:

Nevaeh bought new headphones for $102.50. He then spent $39.95 on a new game. How much money did Nevaeh spend all together?

Answer 6

Solve the following problem:

It was 13°C yesterday, but the temperature changed by −18.6° overnight. What is the temperature now?(1 point)

____°C

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find the temperature now, we need to subtract the change in temperature from the original temperature:

Temperature now = 13°C - 18.6°C

To subtract a negative number, we can rewrite the equation as:

Temperature now = 13°C + (-18.6°C)

Adding a negative number is the same as subtracting a positive number. Therefore:

Temperature now = 13°C - 18.6°C = -5.6°C

Therefore, the temperature now is -5.6°C.

Answer 8

Use the additive inverse to find −492.89−(−871.78).(1 point)

Answer 9

[AI-generated answer — Bot GPT 3.5]

To use the additive inverse, we can rewrite the expression as:

-492.89 + 871.78

Adding a negative number is the same as subtracting a positive number, so the expression can also be written as:

-492.89 - (-871.78).

To subtract a negative number, we change the sign of the number and add it to the other number:

-492.89 + 871.78 = -492.89 + 871.78

Now we can simply perform the addition:

-492.89 + 871.78 = 378.89

Therefore, the value of -492.89 - (-871.78) is 378.89.

Answer 10

Determine the distance between −18.26 and −2.45 on a number line.(1 point)

Responses

20.71
20.71

−15.81
negative 15.81

15.81
15.81

−20.71

Answer 11

[AI-generated answer — Bot GPT 3.5]

To find the distance between -18.26 and -2.45 on a number line, we take the absolute value of the difference between the two numbers.

|-18.26 - (-2.45)| = |-18.26 + 2.45|

|-18.26 + 2.45| = |-15.81|

Therefore, the distance between -18.26 and -2.45 on a number line is | -15.81 |, which is 15.81.

Hence, the correct answer is 15.81.

Answer 12

What is 17 4/9 + 5/9 − 8 − 10?(1 point)

Responses

−1
negative 1

0
0

20
20

−7

Answer 13

[AI-generated answer — Bot GPT 3.5]

To solve the expression 17 4/9 + 5/9 - 8 - 10, we can begin by converting the mixed number 17 4/9 into an improper fraction.

17 4/9 is equivalent to (17 * 9 + 4)/9 = 157/9.

Now, we can rewrite the expression:

157/9 + 5/9 - 8 - 10.

Next, we can combine the fractions:

(157 + 5)/9 - 8 - 10.

Simplifying further:

162/9 - 8 - 10.

To subtract a fraction, we need a common denominator. The lowest common denominator is 9 in this case:

(162 - 8 * 9 - 10 * 9)/9.

Simplifying within parentheses:

(162 - 72 - 90)/9.

Further simplifying:

0 - 90/9.

Dividing 90 by 9:

0 - 10.

Finally simplifying the subtraction:

-10.

So, the solution to the expression is -10.