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3 years ago

Which list is in order from least to

Mathematics

2 answers:

attashe74 [19]3 years ago

5 0

The answer is option A

Bumek [7]3 years ago

4 0

Answer:

the answer is A 2 + 10, 120 - 1100

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Let x = the length of the shorter piece of rope. x + (1/2)x = 24 (3/2)x = 24 (2/3)(3/2)x = (2/3)(24) x = 16 The lengths of rope

Elena-2011 [213]

Answer:

Step-by-step explanation:

Given the question

A rope is 24 feet long. It is cut into two pieces such that one piece is half the length of the other. Find the lengths of the two pieces of rope.

Options

The stated solution is correct (lengths of 16 feet and 8 feet).

Based on the way the variable is defined, the equation should be x + 2x = 24.

The equation is written correctly, but there is an error in solving the equation.

The way the variable is defined, and because x=16, the longer piece of rope would be 32 feet, which is not possible.

Let the length of one piece be x (shorter piece) and the other be y.

If the rope is cut into two pieces and 24ft long, then;

x+y = 24.......... 1

If one piece is half the length of the other, then x = y/2..... 2

substitute equation 2 into 1

y/2 + y = 24

take the LCM

y+2y/2 = 24

3y/2 = 24

cross multiply

3y = 48

Divide both sides by 3;

3y/3 = 48/3

y = 16 feet

Since x = y/2

x = 16/2

x = 8 feet

Based on the calculation above, I can conclude that;

- The student stated solution is correct (lengths of 16 feet and 8 feet)

- The way the variable is defined, and because x=16, the longer piece of rope would be 32 feet, which is not possible.

- Based on the way the variable is defined, the equation should be x + 2x = 24.

8 0

4 years ago

Write an equation for line ℓ

Brrunno [24]

Answer:

y=4

Step-by-step explanation:

l is a horizontal line

Horizontal lines are of the form

y =

Since the y coordinate is 4

y=4

3 0

3 years ago

5x-2y=-10 3x+6y=66 using elimination method

kirza4 [7]

$\huge{ANSWER}$

5x -2y = -10 .....1

3x + 6y =66......2

on multiplying eq. 1 by 3

5x -2y = -10 .....1 ×3

15x -6y =-30

now subtract both equations ,

15x -6y =-30

3x + 6y =66

-___-_____-_

12x =-96

x= -8.

putting value of x in eq 1

5×8 -2y =-10

40 -2y =-10

40-10=2y

50=2y

25=y.

7 0

4 years ago

The average thickness of books on a library shelf is 8.3 centimeters. The standard deviation is 0.6 centimeter. If 20% of the bo

jeka57 [31]

Answer:

8.8 cm

Step-by-step explanation:

-We know that the top 20% of the books are oversized.

-We therefore find the z-value of the top 20%:

$z_{0.1}=8.4$

#We substitute the z value in formula to solve X.

$z=\frac{\bar X-\mu}{\sigma}$

Where

X is the minimum thickness of the book.

-Given $\sigma=0.6 \ , \mu=8.3$ , the minimum thickness,X can be calculated as follows:

$z=\frac{\bar X-\mu}{\sigma}\\\\0.84=\frac{\bar X-8.3}{0.6}\\\\\bar X=0.84\times 0.6+8.3\\\\=8.804\approx 8.8\ cm$

Hence, the minimum thickness of the oversized books is 8.8 cm

3 0

4 years ago

Anyone solve this maths questions from integers

gogolik [260]

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION 

4 0

3 years ago