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-Dominant- [34]
2 years ago
8

Mark said he can decompose five six into three fractions with three different numerators and the same denominator is this possib

le explain
Mathematics
1 answer:
Kazeer [188]2 years ago
8 0

Answer:

1/6 ; 2/6 ; 2/6

Step-by-step explanation:

To split 5/6 into. 3 different fractions with the same denominator and different numerator values;

The integer value of the numerator 5 can be divided into 3 different whole Number values ;

It could be :

5 = 3 + 1 + 1

5 = 2 + 2 + 1

Hence, we could have ;

3/6 +. 1/6 + 1/6

Or

2/6 + 2/6 + 1/3

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For the linear equation 3x + 7y = 42: a. Determine the slope: b. Determine y- intercept if it exists: c. Express equation in slo
algol13

Answer:  The required answers are

(a) the slope of the given line is -\dfrac{3}{7}.

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is y=-\dfrac{3}{7}x+6.

Step-by-step explanation:  We are given the following linear equation in two variables :

3x+7y=42~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We are to :

(a) determine the slope,

(b) determine the y-intercept, if exists

and

(c) express equation in slope-intercept form.

We know that

The SLOPE_INTERCEPT form of the equation of a straight line is given by

y=mx+c, where m is the slope and c is the y-intercept of the line.

From equation (i), we have

3x+7y=42\\\\\Rightarrow 7y=-3x+42\\\\\Rightarrow y=\dfrac{-3x+42}{7}\\\\\\\Rightarrow y=-\dfrac{3}{7}x+6.

Comparing with the slope-intercept form, we get

\textup{slope, m}=-\dfrac{3}{7},\\\\\\\textup{y-intercept, c}=6.

Thus,

(a) the slope of the given line is -\dfrac{3}{7}.

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is y=-\dfrac{3}{7}x+6.

3 0
3 years ago
Simplify the following:<br> 1) √12 =
goldenfox [79]

Answer:

2\sqrt{3}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab} , then

\sqrt{12}

= \sqrt{4(3)}

= \sqrt{4} × \sqrt{3}

= 2\sqrt{3}

4 0
2 years ago
Help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
mariarad [96]

The answer to N is 5

Step-by-step explanation:

Multiply 7 × 5=35, Then you subtract it by 4, then you get 31.

5 0
3 years ago
Read 2 more answers
Find the probability of drawing 3 Aces at random from a deck of 52 ordinary playing cards if the cards are:_________
Minchanka [31]

Answer:

A) 1/2197

B) 1/5525

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome.

Since there are 52 random cards in a deck of card, the total outcome will be 52.

a) Also in a deck of card, there are 4 aces. If we are to select 3 aces with replacement, this means that each time we pick up an ace from the card, it was returned.

Pr(drawing an ace) = 4/52

Pr(drawing 3 aces and replacing it) = 4/52 *4/52*4/52

Pr(drawing 3 aces and replacing it) = 64/140,608

Pr(drawing 3 aces and replacing it) = 1/2197

b) If we pick 3 aces without replacement then each time we pick an ace, the total number cards keeps reducing.

Pr(picking the first ace) = 4/52

Pr(picking the second ace without replacing) = 3/51 (Since we didn't replace the first one, the total ace in the deck of card will reduce to 3 and the total will be 51)

Pr(picking the third ace without replacing) = 2/50 (since we didn't replace the first two aces, the total ace in the deck of card will reduce to 2 and the total will be 50)

Pr(drawing 3 aces without replacement) =  4/52*3/51*2/50

Pr(drawing 3 aces without replacement) =  24/132,600

Pr(drawing 3 aces without replacement) = 1/5525

5 0
3 years ago
Evaluate (-12)(-2)^2​
xz_007 [3.2K]

(-12)(-2)^2 = -48.

Hope this helps,

Davinia.

6 0
3 years ago
Read 2 more answers
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