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3 years ago

I will mark brainliest for correct answer

Mathematics

2 answers:

Aliun [14]3 years ago

5 0

Answer:

Step-by-step explanation:

It is a meaning of GCF(greatest common factor.)

Both 6 and 8 can multiply to become 24.

statuscvo [17]3 years ago

3 0

24, it’s the lcf and is the closest number that they have in common

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What must be added to both sides in 4x² + 24x + 8 = 32 in order to complete the square?

Sergeu [11.5K]

Answer:

Step-by-step explanation:

To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).

Therefore, we would have to first make the coefficient of x² to be equal to 1.

4x² + 24x + 8 = 32

We would simplify the equation;

4x² + 24x = 32 - 8

4x² + 24x = 24

Divide all through by 4;

x² + 8x = 24

The value to be added = (8/2)² = 4² = 16

x² + 8x + 16 = 8 + 16

x² + 4x + 4x + 16 = 24

x(x + 4) + 4(x + 4) = 24

(x + 4)² = 24

Taking the square root of both sides;

x + 4 = ± 4.9

x = -4 ± 4.9

x = -4 + 4.9 = 0.9

x = -4 - 4.9 = - 8.9

<em>Therefore, 16 must be added to solve the quadratic equation by completing the square method. </em>

6 0

3 years ago

The perimeter of the kite is 134 cm. Find the value of x.

frez [133]

Answer:

x = 10 cm

Step-by-step explanation:

(3x + 2) + (3x + 2) + (4x - 5) + (4x - 5) = 134 cm

combine like terms:

14x - 6 = 134

add 6 to each side of the equation:

14x = 140

divide both sides by 14:

x = 10

3 0

3 years ago

What is 33.61111111 in fraction form

madreJ [45]

The correct answer is: " $\frac{33,611}{1,000}$ " .

____________________

<u>Step-by-step explanation</u>:

Based on the assumption that the "1" repeats infinitely; in the given value:

" 33.61111111 ...." ;

_______

Note that the "611" ; after the decimal point; this goes to the "thousandths";

place (is "3 (three) digits long.").

_______

As such; we rewrite the number as:

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" $\frac{33.611}{1}$ " ;

and we multiply BOTH the "numerator" And the "denominator" by: "1000" :

_______

→ " $\frac{(33.611)*(1000)}{(1)*(1000)}$ " ;

to get:

→ " $\frac{33611}{1000}$ " ; → which cannot be reduced any further.

_______

The correct answer is: " $\frac{33,611}{1,000}$ " .

_______

Hope this is helpful to you!

Wishing you the best!

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7 0

3 years ago

Captain Ben has a ship, the H.M.S Crimson Lynx. The ship is five furlongs from the dread pirate Luis and his merciless band of t

grigory [225]

Answer:

We can see that this is dependent probability. We can find dependent probability of happening event A then event B by multiplying probability of event A by probability of event B given that event A already happened.

Step-by-step explanation:

In our case event A is pirate hitting captain's ship and event B is captain missing pirate's ship. We have been given that pirate shoots first so pirate's ship can't be hit before pirate shoots his cannons. So probability of hitting captain's ship is 1/3. We have been given that if Captain Ben's ship is already hit then Captain Ben will always miss. So the probability of Captain missing the dread pirate's ship given the pirate Luis hitting the Captain ship is 1. Now to find probability that pirate hits Captain, but Captain misses we will multiply our both probabilities.

8 0

3 years ago

In order to clear out room for new merchandise, James decided to mark down some of the items for sale in his electronics store.

sergiy2304 [10]

Answer:

a) Which item’s price was reduced by more, and by how many dollars more was it reduced?

The DVD player's price was reduced more by $3.82 than the stereo tuner's price.

b) Round all dollar values to the nearest cent.

Rounding $3.82 dollars to the nearest cents

$1 = 100 cents

$3.82 =

3.82 × 100 cents

= 382 cents

The DVD player's price was reduced by 382 cents more than the stereo tuner's price

Step-by-step explanation:

Lets day the original price of the DVD player was $100

We are told the price was marked down to 36%

36% of $100 = $36

$100 - $36 = $64

We are told the DVD cost $41.60 after the markdown.

Original cost of DVD =

$41.60/$64 × 100 = $65

Lets the original price of the Stereo player was $100

We are told the price was marked down to 22%

22% of $100 = $22

$100 - $22 = $78

We are told the DVD cost $69.42 after the markdown.

Original cost of Stereo =

$69.42/$78 × 100 = $89

DVD = $65 - $41.60 = $23.40 less

Stereo = $89 - 69.42 = $19.58 less

Difference between the DVD and the Stereo is

$23.40 - $19.58 = $3.82

Therefore,the DVD player's price was reduced by $3.82 more than the stereo tuner's price

Rounding $3.82 dollars to the nearest cents

$1 = 100 cents

$3.82 =

3.82 × 100 cents

= 382 cents

8 0

3 years ago

Read 2 more answers