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3 years ago

Compare 3 7/8 ___ 3 5/6

Mathematics

1 answer:

NeTakaya3 years ago

7 0

Answer:

1 2/3 : 4 3/8 = 8

≅ 0.3809524

Step-by-step explanation:

Conversion a mixed number to a improper fraction: 1 2/3 = 1 · 3 + 2

= 5

Conversion a mixed number to a improper fraction: 4 3/8 = 4 · 8 + 3

= 35

Divide: 5

: 35

= 5

· 8

= 5 · 8

3 · 35

= 40

105

= 8

To divide one fraction by another, invert (turn upside-down) the second fraction, then multiply.

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Any time Speedy the Sloth is not sleeping, she drinks chamomile tea at a steady rate of 2/7 of a cup per hour. Yesterday, she dr

Nitella [24]

Answer:

She stayed awake for 295 minutes today

Explanation:

We are given that:

Yesterday, she drank one cup

Today, she drank $\frac{17}{42}$ of a cup more than yesterday

This means that:

Number of cups she drank today = $1+\frac{17}{42}=1\frac{17}{42}cups$

Now, we know that she drinks $\frac{2}{7}$ of a cup per hour any time she is not sleeping

We use cross multiplication to get the time she took to drink $1\frac{17}{42}$ cups

1 hour ...........................> $\frac{2}{7}$ of a cup

?? hours ......................> $1\frac{17}{42}$ cups

Time taken = $\frac{1\frac{17}{42}*1 }{\frac{2}{7} } = \frac{59}{12} = 4\frac{11}{12} hours$

This means that she was awake for $4\frac{11}{12}$ hours

Finally, we convert this to minutes:

Knowing that 1 hour has 60 minutes, therefore:

She stayed awake for $4\frac{11}{12} * 60 = 295$ minutes

Hope this helps :)

8 0

4 years ago

Read 2 more answers

How to solve the equation and rounding the answer to four decimal places

pogonyaev

The answer is 0.5778 or 0.578 rounded

5 0

3 years ago

P P,Q and R can finish a task in 8, 10 and 12 hours respectivly.They started working together but after 3 hours, P and R left. H

zimovet [89]

Answer:

45 minutes

Step-by-step explanation:

Assume task completed in total x hours

$\frac{x}{10} + \frac{3}{8} + \frac{3}{12} = 1 \\ 12x + 45 + 30 = 120 \\ 12x = 45 \\ x = \frac{15}{4} = 3 \frac{3}{4}$

So q will take 45 more minutes

7 0

3 years ago

(15.2*0.25-48.51/14.7)/x=(13/44-2/11-5/66/2.50)1.2/(3.2+0.8(5.5-3.25)

goldfiish [28.3K]

Answer:

x = 41.67

Step-by-step explanation:

The above equation, would be simplified or divided into parts;

Therefore, the given equation becomes;

A/x = B/C

Where;

A = (15.2*0.25-48.51/14.7)

B = (13/44-2/11-5/66/2.50)1.2

C = 3.2+0.8(5.5-3.25)

x = unknown variable.

Part A

(15.2*0.25-48.51/14.7) = (15.2*0.25 - 3.3)

A = (3.8 - 3.3)

A = 0.5

Part B

(13/44-2/11-5/66/2.50)1.2 = (0.3 - 0.18 - 0.030) * 1.2

B = 0.09 * 1.2

B = 0.108

Part C

(3.2+0.8(5.5-3.25)

C = 4*(2.25)

C = 9

Substituting the values into the equation, we have;

0.5/x = 0.108/9

Cross-multiplying, we have;

9 * 0.5 = 0.108x

4.5 = 0.108x

x = 4.5/0.108

x = 41.67

6 0

3 years ago

Assign two variables for each problem, and write the equations. Do not solve.

NemiM [27]

Price of boots is represented as x, price of tennis shoes is represented as y. x-y=44.38 x+y=196.12 Isolate x. (Or y, if you wanted to) x=y+44.38 x=196.12-y Set them equal to each other. y+44.38=196.12-y Solve for y. Then plug it in to either of the two original equations to find x. x=120.24 y=75.86 Note: This is assuming that the boots are more expensive than the tennis shoes. If the tennis shoes are more expensive than the boots, then the prices would be switched. I didn't find this clear in your question.

6 0

3 years ago