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2 years ago

Which is the quotient if 3/5 and 1/10?

Mathematics

1 answer:

AlladinOne [14]2 years ago

8 0

Answer:

Step-by-step explanation:

We have two fractions and are asked to find the answer if they both are divided.

3/5 and 1/10.

When we divide fractions, we need to follow KCF

KEEP - Keep the fractions

CHANGE - Change the division sign to a multiplication sign

FLIP - Flip the second fraction

Follow :

KEEP :

3/5 / 1/10

CHANGE :

3/5 * 1/10

FLIP :

3/5 * 10/1

Now we need to multiply, which is simple because it's multiplying across :

$\frac{3*10}{5*1}$

30/5

Simplify by dividing the numerator and denominator by 5 :

$\frac{30/5}{5/5} = \frac{6}{1}$

Divide the numerator by denominator :

$\frac{6}{1} = 6$

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Area of a parallelagram

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Area=base and height

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2 years ago

1) work out the value of (1.7x10^4)x (8.5x10^-2) give your answer in standard form.

Mashutka [201]

ANSWER TO QUESTION 1

$(1.7\times 10^4)\times(8.5\times 10^{-2})$

We rewrite to obtain;

$(1.7\times 10^4)\times(8.5\times 10^{-2})=(1.7\times 8.5)\times(10^4\times 10^{-2})$

Recall this product law of indices

$a^m\times a^n=a^{m+n}$

we apply this law to obtain,

$(1.7\times 10^4)\times(8.5\times 10^{-2})=14.45\times10^{4+-2}$

This simplifies to

$(1.7\times 10^4)\times(8.5\times 10^{-2})=14.45\times10^{2}$

We need to rewrite this in standard form;

$(1.7\times 10^4)\times(8.5\times 10^{-2})=1.445\times 10^1\times10^{2}$

We apply the product law again to get

$(1.7\times 10^4)\times(8.5\times 10^{-2})=1.445\times 10^{1+2}$

This simplifies to

$(1.7\times 10^4)\times(8.5\times 10^{-2})=1.445\times 10^{3}$

ANSWER TO QUESTION 2

$(6.8\times 10^2)\times(1.3\times 10^{-3})$

We rewrite to obtain;

$(6.8\times 10^2)\times(1.3\times 10^-3)=(6.8\times 1.3)\times(10^2\times 10^{-3})$

Recall this product law of indices

$a^m\times a^n=a^{m+n}$

we apply this law to obtain,

$(6.8\times 10^2)\times(1.3\times 10^-3)=8.84\times10^{2+-3}$

This simplifies to

$(6.8\times 10^2)\times(1.3\times 10^-3)=8.84\times10^{-1}$

This is already in standard form.

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3 years ago

Aladdin found a cave filled with boxes of gold, measuring 2 inches × 2 inches × 2 inches, and boxes of silver, measuring 1 inch

PIT_PIT [208]

Answer:

Aladdin took 32 boxes of treasure.

Step-by-step explanation:

The dimensions of the box Aladdin brought are 6 inch × 6 inch × 7 inch.

Since, the volume of the box = Length × Width × Height.

So, the volume of the Aladdin's box = 6 × 6 × 7 = 252 inch³

Now, the dimensions of the gold box are 2 inch × 2 inch × 2 inch.

So, the volume of the gold box = 2 × 2 × 2 = 8 inch³

Thus, the number of gold boxes which can fit inside Aladdin's box = $\frac{252}{8}$ = 31 boxes

Also, as the dimensions of the silver box are 1 inch × 1 inch × 1 inch.

So, the volume of the silver box = 1 × 1 × 1 = 1 inch³

Then, the number of silver boxes which can fit inside Aladdin's box is 1.

Hence, Aladdin took 31 + 1 = 32 boxes of treasure.

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3 years ago

A bee farm has 700 bees on September 1st. Winter is coming and the number of bees decreases 35% every 2 months from September 1s

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Answer:

$P_t\approx 244 \ bees$

Step-by-step explanation:

-The bee's population follows an exponential decay of the form:

$P_t=P_oe^{-rt}$

$P_t$ is the population at time t

$P_o$ is the initial population size

$t, r$ is time and rate of decay respectively.

#We substitute and solve $P_t$ :

$t=6/2=3\\\\\therefore P_t=P_oe^{-rt}\\\\=700e^{-0.35\times 3}\\\\\\=244.96\\\\\approx 244\ bees$

-Since it's a decay, we round down any fractional amount in the population.

Hence, the population after 6 months is approximately 244 bees

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3 years ago

An AutoCAD drawing has a scale of 3/4 inches to 2 ft. If a piece of a bridge measures 15 feet, how long is that piece in the Aut

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