How to write 12,400,000 in scientific notation ?

Answers

Answer 1

Answer: The answer is 12.4 x 10^6

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David, Malachy and Paul share some sweets in the ratio 4:3:3. David gets 24 sweets. How many did Paul get?

Answers

If David, Malachy and Paul share some sweets in the ratio 4:3:3 then Paul get 7.2 number of sweets

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that David, Malachy and Paul share some sweets in the ratio 4:3:3

All three shared 24 sweets together.

Let x be the number of sweets

4x+3x+3x=24

Add the like terms

10x=24

Divide both sides by 10

x=2.4

Now paul has 3x sweets so 3×2.4=7.2

Hence, Paul get 7.2 number of sweets

To learn more on Ratios click:

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• Let.David,Malachy,Paul sweets be =4x,3x,3x

4x+3x+3x=24
10x=24
x=24/10
x=2.4
Since Paul=3X=3*2.4

=7.2

• hence the Paul get 7.2

Evaluate this expression, (5X)^0

Answers

The answer to this question is "1"

Anything that is to power of '0' is equal to ''1''

(5*x)^0 simplifies to 1 Result: 1

A ball is dropped from a height of 12 feet and returns to a height that is one-half of the height from which it fell. The ball continues to bounce half the height of the previous bounce each time. How far will the ball have traveled when it hits the ground for the fourth time?

Answers

1 st hit=12 ft
2nd hit=2*6=12 ft
3rd hit=2*3=6 ft
4th hit=2*1.5=3 ft
total distance=12+12+6+3=33 ft

Compare 1⁄2 with 3⁄4 using ( <, >, =).

Answers

1/2< 3/4
Think of it as decimals
1/2 is .50 and 3/4 is .75
Hope this Helps :)

As you can see above, 3/4 is larger than 1/4. The larger the numerator, the larger the fraction. so >

Write an equation of the parabola in vertex form.

Answers

Answer:

$y= -\frac19(x-3)^2+1$

Step-by-step explanation:

the x-3 is to shift a normal parabola 3 to the right

the +1 is to lift the top up by one

the -1/9 is to compress and swapt it around

Answer:

y =- $(1)/(9)$ (x - 3)² + 1

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (3, 1) , thus

y = a(x - 3)² + 1

To find a substitute another point on the graph into the equation

Substitute (1, $(5)/(9)$ ) into the equation

$(5)/(9)$ = a(1 - 3)² + 1 ( subtract 1 from both sides )

- $(4)/(9)$ = 4a ( divide both sides by 4 )

a = - $(1)/(9)$

y = - $(1)/(9)$ (x - 3)² + 1 ← equation of parabola in vertex form

EFGD is a parallelogram. Find x.A. 1
B. 7
C. 11
D. 6

and,

If ABCD is a parallelogram, what is the length of BD?

A. 10
B. 12
C. 7
D. 5

Answers

Answer:

x = 11

BD = 10

Step-by-step explanation:

Solving for x

The opposite sides if a parallelogram are equal and parallel.

Hence,

2x - 5 = 17

Collecting like terms:

2x = 17 + 5

2x = 22

x = 11

If E is a midpoint, then BE equals to DE

Since BE = 5, then

BD = 2 * BE

BD = 10

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How many seconds in an hour

the length of a rectangle is inches more than the width. the perimeter is inches. find the length and the width of the rectangle.

Lucas had $272 and Kelly had $804. Both of them spent the same amount of money. The ratio of Lucas' to Kelly's money than became 2:9. How much did they spend altogether?