Solve and simplify. 810 − 710

(1 point)
Responses

120
Start Fraction 1 over 20 End Fraction

−110
Start Fraction negative 1 over 10 End Fraction

110
Start Fraction 1 over 10 End Fraction

32
Start Fraction 3 over 2 End Fraction

11 answers

To solve and simplify \( 810 - 710 \):

First, perform the subtraction: \[ 810 - 710 = 100 \]

Now, let's look at the response options given. Since 100 does not appear directly, it is possible that we are asked to express 100 in fraction form.

To express 100 as a fraction, we can write: \[ 100 = \frac{100}{1} \]

However, if we want to convert it to a form that matches some of the given options, let’s see if we can express 100 in terms of fractions that are close to the options provided. For simplicity, if we divide the fraction \( \frac{100}{1} \) by 10, this gives us: \[ \frac{100}{1} = \frac{1000}{10} \]

However, none of the responses match this representation. As I've interpreted the question, the question seems to expect one of the simpler fractions:

  1. \( \frac{1}{20} \)
  2. \( -\frac{1}{10} \)
  3. \( \frac{1}{10} \)
  4. \( \frac{3}{2} \)

Since none of these options is equal to 100, the direct subtraction yields a solution of \( 100 \).

If you were looking for a choice that is less obvious in the context, it might be that 100 is considered off while the numbers were supposed to be closer approximations such as a percentage or decimal which isn’t applied here based on the options provided.

Therefore, the answer is: \[ \text{None of the provided options } (120, , -110, , 110, , 32) \text{ fit } 100. \] If possible, confirm if the subtraction needed another interpretation or if this was meant to correspond more closely to the responses listed separated from their configurations.

i meant 8/10-7/10

Thank you for the clarification! Let's solve \( \frac{8}{10} - \frac{7}{10} \):

Since the denominators are the same, we can subtract the numerators directly:

\[ \frac{8}{10} - \frac{7}{10} = \frac{8 - 7}{10} = \frac{1}{10} \]

The simplified result is:

\[ \frac{1}{10} \]

This corresponds to the option:

Start Fraction 1 over 10 End Fraction.

Solve and simplify. 1015 − 515
(1 point)
Responses

16
Start Fraction 1 over 6 End Fraction

1515
Start Fraction 15 over 15 End Fraction

515
Start Fraction 5 over 15 End Fraction

13

To solve \( 1015 - 515 \):

First, perform the subtraction:

\[ 1015 - 515 = 500 \]

Now, let's check which of the given options can represent \( 500 \):

  1. \( 16 \)
  2. \( \frac{1}{6} \)
  3. \( \frac{15}{15} \) (which simplifies to \( 1 \))
  4. \( \frac{5}{15} \) (which simplifies to \( \frac{1}{3} \))
  5. \( 13 \)

None of the provided options match \( 500 \) directly. Thus, we can conclude that the solution to \( 1015 - 515 \) is \( 500 \), which is not among the given choices.

If you need further clarification or assistance, feel free to ask!

again, i meant 10/15 5/15

Got it! Let's solve \( \frac{10}{15} - \frac{5}{15} \):

Since the denominators are the same, we can subtract the numerators directly:

\[ \frac{10}{15} - \frac{5}{15} = \frac{10 - 5}{15} = \frac{5}{15} \]

Now, we can simplify \( \frac{5}{15} \):

\[ \frac{5}{15} = \frac{1}{3} \]

So, the simplified result is:

Start Fraction 5 over 15 End Fraction, which simplifies to Start Fraction 1 over 3 End Fraction.

Please confirm if any of these options match your intended responses, or let me know if you need further assistance!

Juanita is mixing orange and blue paint to make yellow paint. She has 5/8 of a gallon of blue paint, but she needs 7/8 of a gallon. How much more blue paint does she need? Simplify the answer.(1 point)
Responses

128
Start Fraction 12 over 8 End Fraction

28
Start Fraction 2 over 8 End Fraction

14
Start Fraction 1 over 4 End Fraction

18

To find out how much more blue paint Juanita needs, we start by subtracting the amount of blue paint she has from the amount she needs.

She needs: \[ \frac{7}{8} \text{ gallon} \] She already has: \[ \frac{5}{8} \text{ gallon} \]

Now, calculate the difference: \[ \frac{7}{8} - \frac{5}{8} = \frac{7 - 5}{8} = \frac{2}{8} \]

Next, we simplify \( \frac{2}{8} \): \[ \frac{2}{8} = \frac{1}{4} \]

Thus, Juanita needs an additional \( \frac{1}{4} \) gallon of blue paint.

From the provided options, the correct answer is:

Start Fraction 1 over 4 End Fraction.

What is 1118 − 13
?(1 point)
Responses

1018
Start Fraction 10 over 18 End Fraction

518
Start Fraction 5 over 18 End Fraction

1554
Start Fraction 15 over 54 End Fraction

59

To solve \( 1118 - 13 \):

First, perform the subtraction: \[ 1118 - 13 = 1105 \]

The result is \( 1105 \).

Now, let's check the provided options to see if any match \( 1105 \):

  1. \( 1018 \)
  2. \( \frac{10}{18} \) (which simplifies to \( \frac{5}{9} \))
  3. \( 518 \)
  4. \( \frac{5}{18} \)
  5. \( 1554 \)
  6. \( \frac{15}{54} \) (which simplifies to \( \frac{5}{18} \))
  7. \( 59 \)

None of the provided options match \( 1105 \).

If you meant something different, please clarify, and I'll be happy to assist!