Which of the following is equivalent to -(15/8)

17 answers

The expression \(-\frac{15}{8}\) is already in its simplest form. However, if you're looking for equivalent forms, here are a few options:

  1. Decimal form: \(-\frac{15}{8} = -1.875\)
  2. Mixed number: \(-\frac{15}{8} = -1 \frac{7}{8}\)
  3. As a proportion: This can also be represented in ratio form, such as \(-15:8\).

If you need a different type of equivalent expression, let me know!

it is -15/8?

Yes, \(-\frac{15}{8}\) is the same as \(-15/8\). Both notations represent the same value, which is negative fifteen divided by eight. If you have any further questions or need clarification, feel free to ask!

it says

A: 15/-8

B: 8/-15

C: -15/-8

D: 15/8

To determine which of the provided options is equivalent to \(-\frac{15}{8}\), let's analyze each option:

A: \(\frac{15}{-8} \)

  • This is equivalent to \(-\frac{15}{8}\), because a negative sign in the denominator is equivalent to moving the negative sign to the numerator.

B: \(\frac{8}{-15}\)

  • This is not equivalent to \(-\frac{15}{8}\). It represents a different value.

C: \(\frac{-15}{-8}\)

  • This simplifies to \(\frac{15}{8}\), which is not equivalent to \(-\frac{15}{8}\).

D: \(\frac{15}{8}\)

  • This is not equivalent to \(-\frac{15}{8}\).

Therefore, the correct equivalent expression for \(-\frac{15}{8}\) is A: \(\frac{15}{-8}\).

Solve the following.
-2,310 ÷ (-700) =

To solve \(-2310 \div (-700)\), you can follow these steps:

  1. Divide the absolute values: \(2310 \div 700 = 3.3\).
  2. Since you are dividing two negative numbers, the result will be positive.

Therefore, \(-2310 \div (-700) = 3.3\).

Which scenario matches the given expression? 2/3 divided by 1/3

A: Astronomers recently discovered two planets, planet A and planet B. The gravity on planet A is 2/3 of the gravity on Earth. The gravity on planet B is 1/3 of the gravity on Earth. How many times greater than the gravity on Earth is the gravity on planet A than planet B?
B.
Ms. Tate is demonstrating a science experiment. She mixes 2/3 of a liter of chemical A with 1/3 of a liter of chemical B. How many times more of chemical B than chemical A does Ms. Tate use in the experiment?
C.
Mrs. Roth made soup for herself and her daughter. Her daughter 1/3 ate of the soup. Mrs. Roth ate 2/3 of the soup. How much more soup did Mrs. Roth eat than her daughter?
D.
Jess and Beth meet at a park. Jess walks 2/3 of a mile from the park to get home. Beth walks 1/3 of a mile from the park to

To find the scenario that matches the expression \(\frac{2}{3} \div \frac{1}{3}\), we need to recognize that this expression represents "how many times larger \( \frac{2}{3} \) is compared to \( \frac{1}{3} \)."

Now let's analyze the options:

A: This scenario asks how many times greater the gravity on planet A (which is \( \frac{2}{3} \) of Earth's gravity) is than planet B (which is \( \frac{1}{3} \) of Earth's gravity). This matches our expression because it compares the values directly.

B: This scenario asks how many times more of chemical B (which is \( \frac{1}{3} \) of a liter) was used than chemical A (which is \( \frac{2}{3} \) of a liter). This does not fit our expression since it's about comparing chemical B to chemical A.

C: This scenario looks at how much more soup Mrs. Roth (who ate \( \frac{2}{3} \)) ate compared to her daughter (who ate \( \frac{1}{3} \)). This also does not fit our expression directly.

D: This scenario describes distances walked by Jess and Beth (with \( \frac{2}{3} \) miles and \( \frac{1}{3} \) miles, respectively), but it doesn’t provide a clear division concept regarding how many times larger one distance is than the other.

Given all the analyses, the correct answer is:

A: "Astronomers recently discovered two planets, planet A and planet B. The gravity on planet A is \( \frac{2}{3} \) of the gravity on Earth. The gravity on planet B is \( \frac{1}{3} \) of the gravity on Earth. How many times greater than the gravity on Earth is the gravity on planet A than planet B?"

Why is the number 3/10 a rational number

A: it is the quotient of 10 divided by 3
B: it is the quotient of 3 divided by 10
C: it is the quotient of 30 divided by 10
D: it is the quotient of 100 divided by 3

A number is considered a rational number if it can be expressed as the quotient of two integers (i.e., a fraction \( \frac{a}{b} \) where \( a \) and \( b \) are integers and \( b \neq 0 \)).

The number \( \frac{3}{10} \) can be expressed as the quotient of 3 divided by 10, making it a rational number.

Now let's examine the answer choices:

A: It is the quotient of 10 divided by 3.

  • This refers to \(\frac{10}{3}\), which is not \( \frac{3}{10} \).

B: It is the quotient of 3 divided by 10.

  • This is correct, as \( \frac{3}{10} \) is indeed the quotient of 3 divided by 10.

C: It is the quotient of 30 divided by 10.

  • This simplifies to \( \frac{30}{10} = 3 \), which is not \( \frac{3}{10} \).

D: It is the quotient of 100 divided by 3.

  • This simplifies to \( \frac{100}{3} \), which is also not \( \frac{3}{10} \).

Therefore, the correct answer is:

B: it is the quotient of 3 divided by 10.

Type "yes" or "no" in each blank.
If p = 2 and q = 5, is the value of p/q equivalent to 2/5? __
If p = 2 and q = -5, is the value of p/q equivalent to 2/5? __
If p = -2 and q = 5, is the value of p/q equivalent to 2/5? __
If p = -2 and q = -5, is the value of p/q equivalent to 2/5? __

Let's analyze each scenario to determine whether \( \frac{p}{q} \) is equivalent to \( \frac{2}{5} \).

  1. If \( p = 2 \) and \( q = 5 \):
    \(\frac{p}{q} = \frac{2}{5}\)
    Answer: yes

  2. If \( p = 2 \) and \( q = -5 \):
    \(\frac{p}{q} = \frac{2}{-5} = -\frac{2}{5}\)
    Answer: no

  3. If \( p = -2 \) and \( q = 5 \):
    \(\frac{p}{q} = \frac{-2}{5}\)
    Answer: no

  4. If \( p = -2 \) and \( q = -5 \):
    \(\frac{p}{q} = \frac{-2}{-5} = \frac{2}{5}\)
    Answer: yes

So the filled in answers would be:

  • If \( p = 2 \) and \( q = 5 \), is the value of \( \frac{p}{q} \) equivalent to \( \frac{2}{5} \)? yes
  • If \( p = 2 \) and \( q = -5 \), is the value of \( \frac{p}{q} \) equivalent to \( \frac{2}{5} \)? no
  • If \( p = -2 \) and \( q = 5 \), is the value of \( \frac{p}{q} \) equivalent to \( \frac{2}{5} \)? no
  • If \( p = -2 \) and \( q = -5 \), is the value of \( \frac{p}{q} \) equivalent to \( \frac{2}{5} \)? yes
Why is the number -2/11 a rational number?

A: it is quotient of -11 divided by 2
B: it is quotient of 2 divided by -11
C: it is quotient of -2 divided by -11
D: it is quotient of -11 divided by -2

A number is considered a rational number if it can be expressed as the quotient of two integers, where the denominator is not zero.

The number \(-\frac{2}{11}\) can be expressed as the quotient of \(-2\) divided by \(11\), making it a rational number.

Now let's examine the answer choices:

A: It is the quotient of \(-11\) divided by \(2\).

  • This is \(-\frac{11}{2}\), which is not equivalent to \(-\frac{2}{11}\).

B: It is the quotient of \(2\) divided by \(-11\).

  • This is \(-\frac{2}{11}\), which is indeed an equivalent expression.

C: It is the quotient of \(-2\) divided by \(-11\).

  • This simplifies to \(\frac{2}{11}\), which is not equivalent to \(-\frac{2}{11}\).

D: It is the quotient of \(-11\) divided by \(-2\).

  • This simplifies to \(\frac{11}{2}\), which is not equivalent to \(-\frac{2}{11}\).

Based on the above analysis, the best answer is:

B: it is the quotient of \(2\) divided by \(-11\).

Solve the following -28 divided by 72

To solve \(-28 \div 72\), you can follow these steps:

  1. Divide the absolute values: \[ \frac{28}{72} \]

  2. Simplify the fraction: The greatest common divisor (GCD) of 28 and 72 is 4. So, we can simplify: \[ \frac{28 \div 4}{72 \div 4} = \frac{7}{18} \]

  3. Since we are dividing a negative number by a positive number, the result will be negative: \[ -\frac{7}{18} \]

Therefore, \[ -28 \div 72 = -\frac{7}{18} \]