Question

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

Answer 1

it is -15/8?

Answer 2

it says

A: 15/-8

B: 8/-15

C: -15/-8

D: 15/8

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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? __

Answer 7

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

Answer 8

Solve the following -28 divided by 72

Answer 9

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!

Answer 10

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!

Answer 11

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: \(\frac{15}{-8}\)**.

Answer 12

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

Answer 13

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?"

Answer 14

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.

Answer 15

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**

Answer 16

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 \(-11\).

Answer 17

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