Asked by NICKOLAS

Find the distance between ─19 and 4 on a number line.



__ unit(s)
Answered by NICKOLAS
The highest and lowest recorded temperatures for the state of Michigan are 112° Fahrenheit and ─51° Fahrenheit. Find the range in these extreme temperatures.
Answered by NICKOLAS
Avery is playing a board game with her friends. The table shows the results after her first two turns.



Turn Change in Position
1 Move back 4 spaces
2 Move forward 11 spaces


How much greater is the result of Avery's second turn than the result of her first turn?
Answered by NICKOLAS
Subtract: 15−28=

Answered by NICKOLAS
The distance between 15
and 28
on a number line is 2 of 2.
Select Choice
unit(s).
Answered by NICKOLAS
−60−(−27)
Answered by NICKOLAS
The distance between −60
and −27
on a number line is 2 of 2.
Select Choice
unit(s).
Answered by NICKOLAS
Find 45−310
. Write your answer as a fraction or mixed number in simplest form.
Answered by NICKOLAS
4/5−/310
Answered by NICKOLAS
4/5−3/10
Answered by GPT-4o mini
To find the distance between -19 and 4 on a number line, you can use the formula for distance between two points \( a \) and \( b \):

\[
\text{Distance} = |a - b|
\]

In this case, \( a = -19 \) and \( b = 4 \).

Now calculate:

\[
\text{Distance} = |-19 - 4| = |-19 - 4| = |-23| = 23
\]

Therefore, the distance between -19 and 4 is **23 units**.
Answered by GPT-4o mini
To find the range of recorded temperatures, you subtract the lowest temperature from the highest temperature. The highest recorded temperature is 112° Fahrenheit, and the lowest recorded temperature is -51° Fahrenheit.

The formula for finding the range is:

\[
\text{Range} = \text{Highest temperature} - \text{Lowest temperature}
\]

Substituting the values:

\[
\text{Range} = 112 - (-51) = 112 + 51 = 163
\]

Thus, the range of the extreme temperatures in Michigan is **163° Fahrenheit**.
Answered by GPT-4o mini
To find out how much greater the result of Avery's second turn is than her first turn, we first need to determine her position changes after each turn.

1. **First Turn**: Avery moves back 4 spaces. This change in position can be represented as:
\[
\text{Position after Turn 1} = -4
\]

2. **Second Turn**: Avery moves forward 11 spaces. This change in position can be represented as:
\[
\text{Position after Turn 2} = +11
\]

Now, to find out how much greater the result of the second turn is than that of the first turn, we find the difference between the two results:

\[
\text{Difference} = \text{Position after Turn 2} - \text{Position after Turn 1}
\]
\[
\text{Difference} = 11 - (-4) = 11 + 4 = 15
\]

Thus, the result of Avery's second turn is **15 spaces greater** than the result of her first turn.
Answered by GPT-4o mini
To subtract \( 15 - 28 \), you can follow these steps:

1. Since 28 is larger than 15, the result will be negative.
2. You can rewrite the expression as \( - (28 - 15) \).

Now, calculate \( 28 - 15 \):

\[
28 - 15 = 13
\]

Thus,

\[
15 - 28 = -13
\]

Therefore, \( 15 - 28 = -13 \).
Answered by GPT-4o mini
To find the distance between 15 and 28 on a number line, you can use the formula for distance:

\[
\text{Distance} = |a - b|
\]

where \( a \) and \( b \) are the two points. In this case, let \( a = 28 \) and \( b = 15 \):

\[
\text{Distance} = |28 - 15| = |13| = 13
\]

Therefore, the distance between 15 and 28 is **13 unit(s)**.
Answered by GPT-4o mini
To simplify the expression \(-60 - (-27)\), you can follow these steps:

1. **Change the subtraction of a negative number to addition**:
\[
-60 - (-27) = -60 + 27
\]

2. **Now perform the addition**:
\[
-60 + 27 = -33
\]

Therefore, \(-60 - (-27) = -33\).
Answered by GPT-4o mini
To find the distance between \(-60\) and \(-27\) on a number line, you can use the distance formula:

\[
\text{Distance} = |a - b|
\]

where \( a = -27 \) and \( b = -60 \). Thus, you have:

\[
\text{Distance} = |-27 - (-60)| = |-27 + 60| = |33|
\]

Therefore, the distance between \(-60\) and \(-27\) is **33 unit(s)**.
Answered by GPT-4o mini
To find the expression \( 45 - \frac{3}{10} \), first, we need to express 45 as a fraction with a denominator of 10.

1. Convert 45 to a fraction:
\[
45 = \frac{45 \times 10}{10} = \frac{450}{10}
\]

2. Now, subtract \(\frac{3}{10}\) from \(\frac{450}{10}\):
\[
45 - \frac{3}{10} = \frac{450}{10} - \frac{3}{10} = \frac{450 - 3}{10} = \frac{447}{10}
\]

3. To express \(\frac{447}{10}\) as a mixed number:
- Divide 447 by 10. The quotient is 44, and the remainder is 7.
- Thus,
\[
\frac{447}{10} = 44 \frac{7}{10}
\]

Therefore, the answer is \( \frac{447}{10} \) or as a mixed number: **\( 44 \frac{7}{10} \)**.
Answered by GPT-4o mini
To subtract \(\frac{3}{10}\) from \(\frac{4}{5}\), we need to have a common denominator.

1. Find a common denominator for \(\frac{4}{5}\) and \(\frac{3}{10}\). The least common multiple of 5 and 10 is 10.

2. Convert \(\frac{4}{5}\) to a fraction with a denominator of 10:
\[
\frac{4}{5} = \frac{4 \times 2}{5 \times 2} = \frac{8}{10}
\]

3. Now, subtract \(\frac{3}{10}\) from \(\frac{8}{10}\):
\[
\frac{8}{10} - \frac{3}{10} = \frac{8 - 3}{10} = \frac{5}{10}
\]

4. Simplify \(\frac{5}{10}\):
\[
\frac{5}{10} = \frac{1}{2}
\]

Therefore, \( \frac{4}{5} - \frac{3}{10} = \frac{1}{2} \).
Answered by GPT-4o mini
To subtract \(\frac{3}{10}\) from \(\frac{4}{5}\), we need to find a common denominator. The least common multiple of 5 and 10 is 10.

1. **Convert \(\frac{4}{5}\) to a fraction with a denominator of 10**:
\[
\frac{4}{5} = \frac{4 \times 2}{5 \times 2} = \frac{8}{10}
\]

2. **Now, subtract \(\frac{3}{10}\) from \(\frac{8}{10}\)**:
\[
\frac{8}{10} - \frac{3}{10} = \frac{8 - 3}{10} = \frac{5}{10}
\]

3. **Simplify \(\frac{5}{10}\)**:
\[
\frac{5}{10} = \frac{1}{2}
\]

Therefore, the result of \( \frac{4}{5} - \frac{3}{10} \) is **\(\frac{1}{2}\)**.