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2 years ago

Choose the mixed number that is equivalent to this decimal 3.242424...

Mathematics

1 answer:

Vinvika [58]2 years ago

7 0

Answer:

3.24 = 3 6/25

Step-by-step explanation:

- Rewrite the decimal number as a fraction with 1 in the denominator.

- Multiply to remove 2 decimal places. Here, you multiply top and bottom by 100

- Find the Greatest Common Factor (GCF) of 324 and 100, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 4

- You should end up with that answer..

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Tim and Jim are working on a school project together. If he had to work by himself, it would take

Vladimir [108]

Answer: 6 hours

Step-by-step explanation:

Given, Tim and Jim are working on a school project together.

Tim takes 10 hours to complete the school project.

If Jim worked alone, it would take him 15 hours

Let t be the time they both take if they work together.

Then, $\dfrac{1}{t}=\dfrac{1}{\text{Time taken by Tim}}+\dfrac{1}{\text{Time taken by jim}}$

$\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{10}+\dfrac{1}{15}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3+2}{30}=\dfrac{5}{30}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{1}{6}\\\\\Rightarrow t=6$

So, it will take 6 hours to complete the school project together .

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1 year ago

PLEASE HELP!

melamori03 [73]

Answer:

The answer is C.

Step-by-step explanation:

The $13 he started off with is the y-intercept or the initial value, which is the point where x=0.

The x-intercept, or rate of change, is $8.50.

The slope intercept formula is y=mx+b, where m=8.5 and b=13.

The equation for this problem is y=8.5x+13.

So the answer is C

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2 years ago

Reggie heard that as a general rule, he should save at least 10% of his take- home pay. If Reggie's take-home pay is $2340 per m

ivolga24 [154]

We are given to understand as per the problem that one must save 10% of their take home pay.

Reggie's take home pay is $2,340 per month

As per the rule Reggie must save 10% of 2,340 per month = 0.10*2,340 = $234 per month

Since we need to know the savings in a year, we have to multiply the monthly savings by 12 since there are 12 months a year

Minimum amount per year that he should save = $234 *12 = $2,808

Minimum amount per year that he should save = $2,808

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2 years ago

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What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9? I need help ASAP!!!!!!! please help me

svetoff [14.1K]

The first step should be to distribue:
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1 year ago

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In ΔKLM, the measure of ∠M=90°, LK = 89, ML = 80, and KM = 39. What ratio represents the tangent of ∠K?

vodka [1.7K]

Given:

It is given that KLM is a right triangle.

The measure of ∠M is 90°

The length of LK is 89, ML is 80 and KM is 39.

We need to determine the ratio that represents the tangent of ∠K.

Measure of tan ∠K:

The measure of tan ∠K can be determined using the trigonometric ratio.

Thus, we have;

$tan \ \theta=\frac{opp}{adj}$

From the figure attached below, the side opposite to ∠K is ML and the side adjacent to ∠K is KM

Hence, substituting the values, we get;

$tan \ k=\frac{ML}{KM}$

where ML = 80 and KM = 39.

Substituting, we get;

$tan \ k=\frac{80}{39}$

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1 year ago

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