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2 years ago

5/8 divided by 3/10. Can the answer be a fraction in simplest form.

Mathematics

2 answers:

charle [14.2K]2 years ago

4 0

Answer:

2 1/12

Step-by-step explanation:

50/80 x 80/24 =

4000/1920 =

2 160/1920 =

2 16/192 =

2 8/96 =

2 2/24 =

2 1/12

Hope this helps! Please mark as brainliest.

Angelina_Jolie [31]2 years ago

4 0

Answer: 2 and 1/12

Step-by-step explanation: In this problem, we have 5/8 divided by 3/10. Dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division sign to multiplication and flip the second fraction.

5/8 ÷ 3/10 can be rewritten as 5/8 × 10/3

Now, we are simply just multiplying fractions. To multiply fractions, we multiply across the numerators and multiply across the denominators.

$(\frac{5}{8}) (\frac{10}{3}) = \frac{50}{24}$

50/24 can be reduced by dividing both the numerator and denominator by 2 and we will get 25/12.

25/12 can be written as a mixed number. We can write an improper fraction as a mixed by dividing the denominator into the numerator.

Image provided.

Therefore, 5/8 ÷ 3/10 = 2 and 1/12.

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A population of insects increases at a rate of 1.5% per day. About how long will it take the population to double?

never [62]

The correct answer is:

46.6 days

Explanation:

The general form for exponential growth is

$A=p(1+r)^t$ , where A is the total amount, p is the initial amount, r is the percent of growth, and t is the amount of time (in this case, days).

We do not know the initial amount, the total amount, or the amount of time. We do know that r, the percent of growth, is 1.5%; 1.5% = 1.5/100 = 0.015:

$A=p(1+0.015)^t$

We also know we want the total amount, A, to be twice that of the initial amount, p:

$2p = p(1+0.015)^t
\\
2p=p(1.015)^t$

Divide both sides by p:

$\frac{2p}{p}=\frac{p(1.015)^t}{p}
\\
\\ 2=1.015^t$

Using logarithms to solve this,

$\log_{1.015}(2)=t
\\
\\46.6=t$

8 0

2 years ago

Read 2 more answers

The quadratic function: <img src="https://tex.z-dn.net/?f=y%3D-x%5E2-8x%2B1" id="TexFormula1" title="y=-x^2-8x+1" alt="y=-x^2-8x

pav-90 [236]

Answer:

2) (-∞, 17]

Step-by-step explanation:

The leading coefficient of the function is negative, so the parabola opens downward. The vertex will be a maximum, the upper end of the range. The lower end of the range will be -∞.

The vertex of the function lies on the axis of symmetry. The maximum can be found by evaluating the function at x=-4.

y = -(-4)² -8(-4) +1 = -16 +32 +1 = 17

The range of the function is (-∞, 17].

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1 year ago

A house painter finds that he needs 20 minutes to set up his equipment before painting and then 5 minutes for every square foot

garri49 [273]

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2 years ago

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fomenos

Answer:

Step-by-step explanation:

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