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tatiyna
3 years ago
11

Dario divides 4/6 yard of rope equally into 1/12 yard pieces for a craft project.How many pieces of rope does Dario have?Use a n

umber line to solve the problem.

Mathematics
2 answers:
matrenka [14]3 years ago
7 0

Answer:

8 pieces

Step-by-step explanation:

just find the LCM of 6 and 12, which is 12, and multiply 4/6 by 2/2 to get 8/12. There are 8 1/12 in 8/12

zubka84 [21]3 years ago
5 0

Answer:

Eight pieces

Step-by-step explanation:

Create a number line running from 0 to 4/6.

Label the divisions as 1/6, 2/6, 3/6, and 4/6.

Divide each section in half to get small pieces of length 1/12.

Starting at zero, move to 4/6 on the number line and count the number of pieces as you go.

You count eight pieces, so Dario has eight pieces of rope.

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3x-y=-1 and -3x+4y=-14
Natali [406]
I'm not sure what we're being asked to find here but if this is putting the equation into slope-intercept form, then it's:

3x - y = -1

-y = -3x -1

y = 3x - 1

And

-3x + 4y = -14

4y = 3x - 14

y = 0. 75x - 3.5


But if you're asking to solve this as systems of equations then:

3x - y = -1

-3x + 4y = -14

Solving by elimination. Add both equations together.

3x - y = -1
+ -3x + 4y = -14
———————————
3y = -15

Divide both sides by 3.

y = -5

Now that we know the numerical value of y, we can solve for x.

3x - y = -1 -3x + 4y = -14

3x - (-5) = -1 -3x + 4(-5) = -14

3x + 5 = -1 -3x - 20 = -14

3x = -6 -3x = 6

x = -2 x = -2


So, the solution/coordinates to these system of equations are (-2, -5).



3 0
3 years ago
Which number line best shows the position of square root of 7? Number line with numbers negative 4, negative 3, negative 2, nega
sammy [17]

Answer:

i believe its the one with the dot at 2.6 for the square root of 7

Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
How many times does 8 go into 64?
Rama09 [41]
8 goes into 64 8 times. 8*8 equals 64. For example 8+8+8+8+8+8+8+8=64 that is 8 written out 8 times. I hope that helped :D
5 0
4 years ago
Read 2 more answers
What is twice a number divided by 6 is 42
EastWind [94]

2x divided by 6 = 42

42 x 6 = 252

2x = 252

x = 126

8 0
3 years ago
Read 2 more answers
One of two small restaurants is chosen at random with equally likely probability, and then an employee is chosen at random from
Karo-lina-s [1.5K]

Answer:

P(1 |F) = 10/17

Step-by-step explanation:

Let events

1 = restaurant 1

2 = restaurant 2

F = full-time worker chosen

P = part-time worken chosen

P(1 and F) = 1/2 * 10/16 = 5/16

P(2 and F) = 1/2 * 7/16 = 7/32

P( (1 or 2) and F ) = P(F) = 5/16+7/32 = 17/32

P(1 | F)          Probability of choosing restaurant 1 given a full-time was chosen

= P(1 and F) / P(F)

= 5/16  / (17/32)

= 5/16 * 32/17

= 10 / 17

8 0
4 years ago
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