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3 years ago

2.435 as a mixed number is

Mathematics

2 answers:

Assoli18 [71]3 years ago

6 0

2 87/200 hope this helps

Tom [10]3 years ago

5 0

Answer:

2 87/200

step by step explanation:

2.435 = 2.435/1

Multiply both top and bottom by 10 for every number after the decimal point:

As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. So,

2.435/1

= (2.435 × 1000)

(1 × 1000)

= 2435/1000

Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(2435,1000) = 5. So,

(2435÷5)

(1000÷5)

= 487/200

when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 2435/1000

is also equal to 2 87/200

when expressed as a mixed number.

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worty [1.4K]

24.00 hope this helps

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2 years ago

Which is not in proportion a) 2 : 4 = 3 : 6 b) 1 : 3 = 3 : 9 c) 4 : 6 = 3 : 2 d) 5 : 1 = 10 : 2

Gnoma [55]

Answer:

Step-by-step explanation:

(a)

2 : 4 ( divide both values by 2)

= 1 : 2

3 : 6 ( divide both values by 3 )

= 1 : 2

Thus 2 : 4 = 3 : 6

(b)

3 : 9 ( divide both values by 3 )

= 1 : 3

Thus 1 : 3 = 3 : 9

(c)

4 : 6 ( divide both values by 2 )

= 2 : 3 ≠ 3 : 2

(d)

10 : 2 ( divide both values by 2 )

= 5 : 1

Thus 5 : 1 = 10 : 2

3 0

3 years ago

Mind my hand writing but I’m not sure what sign to put the “-“ or the “+” ?

Ierofanga [76]

hello!

so the answer that you put there is actually wrong and i'll tell you why and how to do it

so since you are adding the two:

-8x + 9x = x (so you got this part right)

-12 + 4 = -8 (this is where you got it wrong, -12 added 4 goes up in value to -8)

so the final answer is x - 8

i hope this helped and have a nice day!

4 0

3 years ago

Read 2 more answers

Which of these ordered triples indicates where the plane cuts the x-axis for this equation? 3x + 4y + 6z = 12

Eduardwww [97]

Answer:

Option A is correct.

Step-by-step explanation:

Given equation is 3x + 4y + 6z = 12

We have to find ordered triplet which indicate where the plane cuts the x-axis.

To find x-coordinate where plane cuts the x-axis we put y and z equal to 0.

3x + 4 × 0 + 6 × 0 = 12

3x + 0 + 0 = 12

3x = 12

x = 4

So, the coordinate where it cuts x-axis is ( 4 , 0 , 0 )

Therefore, Option A is correct.

8 0

3 years ago

A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters

In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

$\Rightarrow y=\sqrt{x^2+100}$

Differentiating with respect to t

$\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}$

$\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}$

Since the car driving towards the intersection at 13 m/s.

so, $\frac{dx}{dt}=-13$

$\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)$

Now

$\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)$

$=\frac{24\times (-13)}{\sqrt{676}}$

$=\frac{24\times (-13)}{26}$

= -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0

2 years ago