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4 years ago

Which expression is not equivalent to the other expressions?

Mathematics

1 answer:

mario62 [17]4 years ago

6 0

Answer:

D) -4(3x + 6)

Step-by-step explanation:

Check:

Distribute the term outside the parenthesis (directly next to it) to all terms within the parenthesis:

A) -6(2x - 4) = (-6 * 2x) + (-6 * -4) = -12x + 24

B) -(12x - 6) + 18 = -12x + 6 + 18 = -12x + 24

C) -3(4x - 3) + 15 = (-3 * 4x) + (-3 * -3) + 15 = -12x + 9 + 15 = -12x + 24

D) -4(3x + 6) = (-4 * 3x) + (-4 * 6) = -12x - 24

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Ayuda:

iVinArrow [24]

$a) - 63.5$

$b) = - 29.2$

$c) - 185.4$

$d)108.$

$e)1650.$

$f) - 607.7$

Step-by-step explanation:

A) [-3+(6-8)] - [40+(5.3-7)+20.2]

= [-3+(-2)] - [40+(-1.7)+20.2]

= [-3-2] - [40-1.7+20.2]

= [-5] - [38.3+20.2]

= [-5] - [58.5]

= -5 - 58.5

= -63.5

B) -4+[-2.6-1-(-3.4)]+(-5).(-3)+(-10)]

= -4+[-3.6+3.4]+(-15)+(-10)

= -4+[-0.2]-15-10

= -4+[-0.2]-25.

= -4-0.2-25

= -4.2-25

= -29.2

C) -22{-5+[8.3-(3.6-9)]}-(-2)(3)

= -22{-5+[8.3-(-5.4)]}-(-2)(3)

= -22{-5+[8.3+5.4]}-(-2)(3)

= -22{-5+13.7}-(-6)

= -22{8.7}+6

= -191.4+6

= -185.4

D) -9-(-2+5).[-3+(-5)-(+2)+1]

= -9-(3)[-3+(-5)-(+2)+1]

= -9-3[-3+(-5)-(+2)+1]

= -12[-3+(-5)-(+2)+1]

= -12[-3-5-2+1]

= -12[-10+1]

= -12[-9]

= 108.

E) 40{-12[4+(-6)(-5)-15.3+12]}-2

= 40{-12[4+(-30)-15.3+12]}-2

= 40{-12[4-30-15.3+12]}-2

= 40{-12[-26-15.3+12]}-2

= 40{-12[-29.3]}-2

= 40{-12-29.3}-2

= 40{-41.3}-2

= 1652-2

= 1650.

F) -21{-[-6(7-3)]-(7.6-8.3)}-89

= -21{-[-6(4)]-(7.6-8.3)}-89

= -21{-[-24]-(7.6-8.3)}-89

= -21{24-(-0.7)}-89

= -21{24+0.7}-89

= -21{24.7}-89

= -518.7-89

= -607.7

8 0

3 years ago

Evan typed 72 pages of notes in one day. He typed 1/2 of the pages in the morning and 1/3 of the pages in the afternoon. He type

patriot [66]

1/2 * 72 = 36
1/3 * 72 = 24

5 0

4 years ago

8 men and 6 women arrive separately in a random fashion to a meeting. What is the probability that the first 4 people to show up

Vedmedyk [2.9K]

Ok, so here:
Remember for basic probability, you have to do: Probability=Events/Possible outcomes. For multiple events, you have to multiply all together.

The probability the first guy that shows up will be 8/14, because out of the 14 people, 8 of them are men. This however isn't your answer, note the question says "Separately"
The probability the second person that comes in is a dude is 7/13, because you have the first guy already in, and only 13 left.
The third person to come in being a dude has a probability of 6/12
The fourth person to come in being a dude has a probability of 5/11

When you have multiple events, the way to solve probability is to find the chances of each as a fraction, then multiply them together.

8/14 * 7/13 * 6/12 * 5/11=1680/24024
1680/24024=168/168 (168 goes into both)
Your final answer is 10/143
~Hope this helps!

3 0

4 years ago

Solve the given system of equations utilizing either the substitution or addition method.

Nataly [62]

Answer:

Value of x=4 and y=-13/3

Step-by-step explanation:

We need to solve the systems of equations

$5x+3y=7 \ and \ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}$

Solving using substitution method:

Let:

$5x+3y=7---eq(1) \\ \frac{3}{2}x-\frac{3}{4}y =9\frac{1}{4}---eq(2)$

Find value of x from eq(1) and put in eq(2)

$5x+3y=7\\5x=7-3y\\x=\frac{7-3y}{5}$

Put value of x in eq(2)

$\frac{3}{2}(\frac{7-3y}{5}) -\frac{3}{4}y =\frac{37}{4}\\\frac{21-9y}{10} -\frac{3}{4}y =\frac{37}{4}\\Taking \ LCM\\\frac{21*2-9y*2-3y*5}{20} =\frac{37}{4}\\\frac{42-18y-15y}{20} =\frac{37}{4}\\42-33y=\frac{37}{4}*20\\42-33y=185\\-33y=185-42\\-33y=143\\y=\frac{143}{-33}\\y=-\frac{13}{3}$

Now, finding value of x by putting value of y in eq(1)

$x=\frac{7-3y}{5}\\x= \frac{7-3(-\frac{13}{3}) }{5}\\x=\frac{7+13}{5}\\x=\frac{20}{5}\\x=4$

So, Value of x=4 and y=-13/3

4 0

3 years ago

PLEASE HELP RNNNN IM BEGGINGG

antiseptic1488 [7]

Answer:

Step-by-step explanation:

8 0

3 years ago