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3 years ago

When a fraction is reduced to lowest terms, the only factor the numerator and denominator have in common is

Mathematics

1 answer:

lions [1.4K]3 years ago

6 0

Answer: A fraction is in lowest terms when the numerator and denominator have no common factor other than 1.

Step-by-step explanation: The factors of 2 are 1 and 2. The factors of 4 are 1, 2, and 4. 2 and 4 share a common factor: 2.

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Solve the equation (1/2)2x + 1 = 1

snow_lady [41]

(1/2)2x=1-1=02x/2=ox=0

8 0

3 years ago

Please show steps:

vodka [1.7K]

Kyle drove x hours

Sally drove x + 7 hours

Added together they both drove 2x + 7 hours

2x +7 = 35 hours

Subtract 7 from both sides:

2x = 28

Divide both sides by 2:

x = 14

Kyle drove 14 hours

Sally drove 21 hours

8 0

3 years ago

An airplane makes a 400-mile trip against a head wind in 4 hours. The return trip takes 2.5 hours, the wind now being a tall win

tangare [24]

Answer:

$v_p=130\ miles/h$

$v_w=30\ miles/h$

Step-by-step explanation:

Lets call $v_p$ the the still-air speed of the plane and $v_w$ the speed of the wind. On the first part the speed of the plane relative to the ground will be $v_1=v_p-v_w$ , and on the second part it will be $v_2=v_p+v_w$ .

We know that the distance d=400 miles on the first and second parts are the same, so by the definition of velocity we will have:

$v_1=\frac{d}{t1}$

$v_2=\frac{d}{t2}$

Or:

$v_p-v_w=\frac{d}{t1}$

$v_p+v_w=\frac{d}{t2}$

Adding both equations:

$(v_p-v_w)+(v_p+v_w)=2v_p=\frac{d}{t1}+\frac{d}{t2}$

$v_p=\frac{1}{2}(\frac{d}{t1}+\frac{d}{t2})$

Which for our values is:

$v_p=\frac{1}{2}(\frac{400\ miles}{4h}+\frac{400\ miles}{2.5h})=130\ miles/h$

If instead of adding, we substact, we would have:

$(v_p+v_w)-(v_p-v_w)=2v_w=\frac{d}{t2}-\frac{d}{t1}$

$v_w=\frac{1}{2}(\frac{d}{t2}-\frac{d}{t1})$

Which for our values is:

$v_w=\frac{1}{2}(\frac{400\ miles}{2.5h}-\frac{400\ miles}{4h})=30\ miles/h$

6 0

4 years ago

I need the answers and the work please for those two questions

Gnesinka [82]

16) It would be: 6+5+3+2 - 1+3+6+4 = 16 - 14 = 2 in.

17) -8/2 + -6/1 + -9/3+ -6/2 = -4-6-3-3 = -16

5 0

3 years ago

Quadrilateral ABCD is reflected over the x-axis.

IceJOKER [234]

Yes ABCD does reflect over the x axis But quadrilateral A’B’C’D’ reflects over the y axis

7 0

3 years ago