Divide −5/10 by 3/4,

Question

(1 point)
Responses

2/3
2 thirds

−2/3
negative 2 thirds

−3/8
negative 3 eighths

−2

Answer 1

To divide \(-\frac{5}{10}\) by \(\frac{3}{4}\), you can multiply \(-\frac{5}{10}\) by the reciprocal of \(\frac{3}{4}\).

1. Find the reciprocal of \(\frac{3}{4}\), which is \(\frac{4}{3}\).
2. Perform the multiplication: \[ -\frac{5}{10} \times \frac{4}{3} \]
3. Multiply the numerators and the denominators: \[ = \frac{-5 \times 4}{10 \times 3} = \frac{-20}{30} \]
4. Simplify \(\frac{-20}{30}\): \[ = \frac{-2}{3} \]

Thus, the answer is \(-\frac{2}{3}\).

The correct response is: −2/3 negative 2 thirds

Answer 2

convert 3 16/25
to a decimal.(1 point)
Responses

0.64
0.64

3.64
3.64

12.64
12.64

1.92

Answer 3

To convert the mixed number \(3 \frac{16}{25}\) to a decimal, follow these steps:

1. Convert the fraction \( \frac{16}{25} \) to a decimal: \[ \frac{16}{25} = 0.64 \]

2. Add this decimal to the whole number part: \[ 3 + 0.64 = 3.64 \]

So, \(3 \frac{16}{25}\) as a decimal is \(3.64\).

The correct response is: 3.64

Answer 4

Which quotient is between -4 and -5 on a number line?

Hint: Use your calculator for this problem.

(1 point)
Responses

−9 1/3÷2
negative 9 and 1 third divided by 2

2 5/6÷(−12)
2 and 5 sixths divided by open paren negative 1 half close paren

−5 1/2÷(−112)
negative 5 and 1 half divided by open paren negative 1 and 1 half close paren

1 2/3÷(−12)

Answer 5

To determine which quotient lies between -4 and -5 on a number line, we can calculate each option:

1. \(-9 \frac{1}{3} \div 2\):

   • Convert \(-9 \frac{1}{3}\) to an improper fraction: \(-\frac{28}{3}\)
   • Perform the division: \[ -\frac{28}{3} \div 2 = -\frac{28}{3} \times \frac{1}{2} = -\frac{28}{6} = -\frac{14}{3} \approx -4.67 \]

2. \(2 \frac{5}{6} \div (-12)\):

   • Convert \(2 \frac{5}{6}\) to an improper fraction: \(\frac{17}{6}\)
   • Perform the division: \[ \frac{17}{6} \div (-12) = \frac{17}{6} \times \frac{1}{-12} = -\frac{17}{72} \approx -0.24 \]

3. \(-5 \frac{1}{2} \div (-112)\):

   • Convert \(-5 \frac{1}{2}\) to an improper fraction: \(-\frac{11}{2}\)
   • Perform the division: \[ -\frac{11}{2} \div (-112) = \frac{11}{2} \times \frac{1}{112} = \frac{11}{224} \approx 0.049 \]

4. \(1 \frac{2}{3} \div (-12)\):

   • Convert \(1 \frac{2}{3}\) to an improper fraction: \(\frac{5}{3}\)
   • Perform the division: \[ \frac{5}{3} \div (-12) = \frac{5}{3} \times \frac{1}{-12} = -\frac{5}{36} \approx -0.14 \]

Now summarizing the results:

1. \(-9 \frac{1}{3} \div 2 \approx -4.67\)
2. \(2 \frac{5}{6} \div (-12) \approx -0.24\)
3. \(-5 \frac{1}{2} \div (-112) \approx 0.049\)
4. \(1 \frac{2}{3} \div (-12) \approx -0.14\)

The only quotient that lies between -4 and -5 is: \(-9 \frac{1}{3} \div 2 \approx -4.67\)

Therefore, the correct response is: −9 1/3÷2
negative 9 and 1 third divided by 2

Answer 6

Hello,
Man they don't understand me from what I know
I must be from another planet, feeling like a freak show
Thats why I disconnect go incognito
I need to breath cuz im going crazy
They gon miss me when I'm gone baby
There are No copies,
I'm a black sheep in a white body
Riding shottie
In a black jeep with a wide body
On a highway full of all audis
Different
Whats in this jug that I'm sipping
Man they want it to pour into therr esophogus
cll in their nervous system
-But listen just cuz it runs deep in my veins
That don't mean that you can achieve
cll the things that I gained with a copy & paste, now get outta my lane
Error 4zero4, Im Runnin from norm, Run into the storm while the swarm
Running for it, moral is I'm outside the box Never conforming
Hell Nah, Not an optimist or pessimist, I'm a realist thats what my deal is
Cuz that glass is just half, on the way to empty, that's facts
Their aint no other way to cut it, but cuz they told u something different
You cant think above it, man telle m all shove it
Hello,
Man they don't understand me from what I know
I must be from another planet, feeling like a freak show
Thats why I disconnect go incognito
I need to breath cuz im going crazy
They gon miss me when I'm gone baby

Answer 7

It looks like you've shared some original lyrics or a creative piece that touches on themes of feeling misunderstood, isolation, and individuality. The imagery of being a "black sheep" in a "white body" and references to disconnecting and going incognito capture a strong sense of contrast and uniqueness.

The mention of "Error 404" suggests a feeling of being lost or out of place, while the idea of not conforming highlights a desire for authenticity and independence. This feeling of being "from another planet" resonates with many people who struggle to fit into societal norms or expectations.

If you have specific questions about the lyrics or if there's something you'd like to discuss, feel free to share!

Answer 8

Joshua is sharing half of a pizza with three friends. Which expression can be used to find the fraction of a whole pizza each person will get, if they split what they have evenly?(1 point)
Responses

12×4
1 half times 4

12÷4
1 half divided by 4

4÷12
4 divided by 1 half

2×14

Answer 9

To find the fraction of a whole pizza each person will get after Joshua shares half of a pizza with three friends (making a total of four people sharing), you can use the following calculation:

1. Joshua has half a pizza, which is represented as \(\frac{1}{2}\).
2. They are sharing it amongst 4 people (Joshua and his 3 friends).

The expression to find the fraction of pizza each person will get is: \[ \frac{1}{2} \div 4 \]

This means that each person will receive one-fourth of the half pizza.

Looking at your options, the correct expression is: 12 ÷ 4
1 half divided by 4

Therefore, the correct response is \(\frac{1}{2} \div 4\) (which may be represented in text form as 12 ÷ 4).

Answer 10

The height of a lake decreased by 20 inches over several weeks. Each week the lake decreased by 4 inches. The following equation represents this situation:

−20÷−4=5

Which of the following best describes the meaning of 5?

(1 point)
Responses

The new height of the lake is 5 inches.
The new height of the lake is 5 inches.

The time it takes the lake to decrease by 20 inches is 5 weeks.
The time it takes the lake to decrease by 20 inches is 5 weeks.

The time it takes the lake to decrease by 4 inches is 5 weeks
The time it takes the lake to decrease by 4 inches is 5 weeks

The change in the height of the lake is 5 inches.
The change in the height of the lake is 5 inches.
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Answer 11

The equation \(-20 \div -4 = 5\) represents the scenario of a lake decreasing in height over time. In this equation:

• \(-20\) represents the total decrease in height of the lake (20 inches).
• \(-4\) represents the decrease in height each week (4 inches).

Dividing \(-20\) by \(-4\) gives us \(5\).

This means that it takes 5 weeks for the lake to decrease by a total of 20 inches, as each week it decreases by 4 inches.

So, the correct interpretation is: The time it takes the lake to decrease by 20 inches is 5 weeks.