All categories

3 years ago

Answer the following problem by moving the decimal. 5.34×100

Mathematics

1 answer:

Komok [63]3 years ago

6 0

Answer:

534

Step-by-step explanation:

5.34 move the decimal over for every zero.

You might be interested in

The denominator of a fraction is 4 more than the numerator if both are decreased by 3 the simplified result is 6/7 find original

Hitman42 [59]

Answer:

The denominator of a fraction is 4 more than the numerator. The original fraction is $\frac{27}{31}$

Solution:

Given that

Denominator of fraction is 4 more than the numerator.

Let’s say numerator of fraction be represented by variable x.

So denominator of a faction as it is four more that numerator will be x + 4

Also given if both decreased by three than simplified result is $\frac{6}{7}$

$=>\frac{(x-3)}{((x+4)-3)}=\frac{6}{7}$

Solving above equation for x

=> 7(x – 3 ) = 6 ( x + 1 )

=> 7x – 21 = 6x + 6

=> 7x – 6x = 6 + 21

=> x = 27

Numerator of fraction = x = 27

Denominator of fraction = x + 4 = 27 + 4 = 31

$\text {required fraction}=\frac{\text {numerator}}{\text {denominator}}$

$= \frac{27}{31}$

Hence the original fraction is $\frac{27}{31}$

7 0

4 years ago

A rectangular park measuring 32 yards by 24 yards is surrounded by a trail of uniform width. If the area of the park and the tra

cluponka [151]

Answer:

The width = 38 yard

Step-by-step explanation:

Given

Dimension of Park = 32 by 24 yard

Area = 1748 yd²

Required

Find the width of the park

Given that the park is surrounded by a trail;

Let the distance between the park and the trail be represented with y;

Such that, the dimension of the park becomes (32 + y + y) by (24 + y + y) because it is surrounded on all sides

Area of rectangle is calculated as thus;

Area = Length * Width

Substitute 1748 for area; 32 + 2y and 24 + 2y for length and width

The formula becomes

$1748 = (32 + 2y) * (24 +2y)$

Open Bracket

$1748 = 32(24 + 2y) + 2y(24 + 2y)$

$1748 = 768 + 64y + 48y + 4y^2$

$1748 = 768 + 112y + 4y^2$

Subtract 1748 from both sides

$1748 -1748 = 768 -1748 + 112y + 4y^2$

$0 = 768 -1748 + 112y + 4y^2$

$0 = -980 + 112y + 4y^2$

Rearrange

$4y^2 + 112y -980 = 0$

Divide through by 4

$y^2 + 28y - 245 = 0$

Expand

$y^2 + 35y -7y - 245 = 0$

Factorize

$y(y+35) - 7(y + 35) = 0$

$(y-7)(y+35) = 0$

Split the above into two

$y - 7 = 0\ or\ y + 35 = 0$

$y = 7\ or\ y = -35$

But y can't be less than 0;

$So,\ y = 7$

Recall that the dimension of the park is 32 + 2y by 24 + 2y

So, the dimension becomes 32 + 2*7 by 24 + 2*7

Dimension = 32 + 14 yard by 24 + 14 yard

Dimension = 46 yard by 38 yard

Hence, the width = 38 yard

5 0

4 years ago

Kaylin mixed two liquids for a science experiment. One container held 7/8 cup and the other held 9/10 cup. What is the total amo

serg [7]

The total amount of mixture would be 1 and 31\40.

5 0

3 years ago

It would take 150 minutes to fill a swimming pool with 5 taps.

sammy [17]

First 150 min times by 5 = 750 minutes after that 750 ÷3=250 minutes it will take for 3 taps

6 0

3 years ago

5(x + 3) = 30 Write steps and solve

weqwewe [10]

Answer:

Step-by-step explanation:

so u would distribute the 5 so it would be 5x + 15 = 30. Then u would subtract 15 to 30 which is 15. So 5x = 15. Then divide 15 by 5 so x = 3

4 0

3 years ago

Read 2 more answers