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3 years ago

3/20 + 2/24 - 7/16 +-3/24

Mathematics

1 answer:

Leokris [45]3 years ago

4 0

Answer: -79/240

Step-by-step explanation:

3/20 + 2/24= 7/30

7/30 - 7/16 = -49/240

-49/240 + -3/24 = -79/240

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1+1/6 in simplest form

Reptile [31]

Answer:

1 1/6

Step-by-step explanation:

1 is nothing but 6/6

So then you would have 6/6+1/6

then you would do 6+1=7

And keep denominator same

So you have 7/6

Which is the same 1 1/6

Because 6 goes one time into 7/6

But you still have 1/6 left

3 0

3 years ago

Determine the equation of a line that passes through A(2,5) and is parallel to the line defined by 3x−y+12=0. State the equation

Ksju [112]

Answer:

y = 3x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x - y + 12 = 0 ( subtract 3x + 12 from both sides )

- y = - 3x - 12 ( multiply through by - 1 )

y = 3x + 12 ← in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , thus

y = 3x + c ← is the partial equation

To find c substitute (2, 5) into the partial equation

5 = 6 + c ⇒ c = 5 - 6 = - 1

y = 3x - 1 ← equation of parallel line

6 0

3 years ago

A lock on a lab door has buttons numbered 0 through 9. The right code for opening the lock is 8542. Also, if on three consecutiv

Viktor [21]

Answer:

Step-by-step explanation:

given that a lock on a lab door has buttons numbered 0 through 9. The right code for opening the lock is 8542

Also, if on three consecutive attempts, a wrong code (a code is a combination of 4 ordered distinct digits) is entered, then a burglar alarm is let off.

when you forget the code, you try at random

There are 10 ways of selecting each digit

So total number of ways of trials at random = $10^4 =10000$

The probability that you get in (without letting off the alarm).

= Probability that you try correct number in I or II or III trial atmost

Prob for correct guessing = 1/10000

The probability that you get in (without letting off the alarm).

= Probability that you try correct number in I or II or III trial atmost

= $\frac{1}{10000} +\frac{9999}{10000}\frac{1}{10000}+(\frac{9999}{10000})^2\frac{1}{10000}$

Because if you get in I trial you leave. If you fail in I you try for second, similarly if you fail 2 times 3rd should be correct

=0.0002

7 0

3 years ago

6(2y -1) -2(2y) = 14

xenn [34]

Answer: y = 5/2 or 2.5

Steps:
6(2y - 1) - 2(2y) = 14
12y - 6 - 4y = 14
8y - 6 = 14
8y = 20
y = 20/8
y = 5/2 or 2.5

5 0

4 years ago

Which answer matches the sentence? <br><br> the quotient of a number n and 3 is 9 <br><br> HELP ASAP

Alex17521 [72]

Answer:

n/3 = 9

Step-by-step explanation:

the quotient is the result you get from division

3 0

3 years ago