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3 years ago

12/25 x 5/18 !!!!!!!!!!

2 answers:

8 0

To multiply fractions together you times the top and bottom numbers together and simplify:
(12*5)/(25*18) = 60/450

Then to simply you find a common number, the largest number you can divide into 60 and 450 and still be left with a interger (whole number), in this case it is 30. Then you divide the top and bottom by it:
(60/30)/(450/30) = 2/15

Hope this helps! :)

BARSIC [14]3 years ago

4 0

The answer is
2/15 or 0.133

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How to Divide 986 by 26 by using partial quotients

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Wouldnt be 36.7 or no i underlined 7 because it never ends
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3 years ago

Read 2 more answers

Safiya deposited money into a bank account that earned 6.5% simple interest each year. After 312 years, she had earned $36.40 in

Svetllana [295]

Answer: If the time is 3 1/2 years (most reasonable assumption)

Her initial deposit was $160

Step-by-step explanation: The basic formula for simple interest is

<em>i = prt i </em>is interest, P is principal (deposit) r is the percentage (converted to a decimal) and t is time, the number of years.

For this question, you have to rearrange the equation to solve for p.

So divide both sides by rt and you have

p = i/rt

Substitute the values given

p = 36.40/(0.065)(3.5)

8 0

3 years ago

The population of a rabbit colony triples each month.

djverab [1.8K]

Answer:

3645 rabbits after 6 months.

Step-by-step explanation:

The population of a rabbit colony triples each month.

This means that the population of the colony after t months is given by:

$P(t) = P(0)(3)^t$

In which P(0) is the initial population.

The population started with 5 rabbits.

This means that $P(0) = 5$

$P(t) = 5(3)^t$

How many rabbits are there after 6 months?

This is P(6). So

$P(6) = 5(3)^6 = 3645$

3645 rabbits after 6 months.

3 0

3 years ago

The figure shows a gas tank in the form of a rectangular prism that is 40% full. How many more gallons of gas will it take to fi

Ira Lisetskai [31]

Answer:

10.8 gallons

Step-by-step explanation:

First change everything to inches:

2.75 ft = 33 in

1.5 ft = 18 in

Volume of tank = lwh = (33)(18)(7) = 4158 in³

The tank is 40% full, so only 60% is need to fill it. To find 60%, multiply 4158 by 0.6 = 2494.8 in³

Now find out how much 2494.8 in³ is in gallons:

231 in³ = 1 gallon

1 in³ = 1/231 gallons

2494.8 = (1/231)(2494.8) gallons = 10.8 gallons

7 0

3 years ago

(1+tanx)/(sinx+cosx)=secx

jek_recluse [69]

$\frac{1+\tan x}{\sin x+\cos x}=\sec x$ is proved

<h3><u>Solution:</u></h3>

Given that,

$\frac{1+\tan x}{\sin x+\cos x}=\sec x$ ------- (1)

First we will simplify the LHS and then compare it with RHS

$\text { L. H.S }=\frac{1+\tan x}{\sin x+\cos x}$ ------ (2)

$\text {We know that } \tan x=\frac{\sin x}{\cos x}$

Substitute this in eqn (2)

$=\frac{1+\frac{\sin x}{\cos x}}{\sin x+\cos x}$

On simplification we get,

$=\frac{\frac{\sin x+\cos x}{\cos x}}{\sin x+\cos x}$

$=\frac{\sin x+\cos x}{\cos x} \times \frac{1}{\sin x+\cos x}$

Cancelling the common terms (sinx + cosx)

$=\frac{1}{c o s x}$

We know secant is inverse of cosine

$=\sec x=R . H . S$

Thus L.H.S = R.H.S

$\frac{1+\tan x}{\sin x+\cos x}=\sec x$

Hence proved

5 0

3 years ago