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2 years ago

What is the greatest common factor or 12a and 9a^2

1 answer:

8 0

The factors of 9 are 1, 3 and 9.
The factors of 12 are 1, 2, 3, 4, 6 and 12.
The factor of a and a^2 is just "a."

For coefficients, the common factors of 9 and 12 are 1 and 3 only. But the greatest common factor is 3.
For variables, the greatest factor is just also "a."

Multiplying these two factors, we get the answer: 3a

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Find the measure of angle b (image below)

IRINA_888 [86]

Angle b will be 34 degrees because angle b and the other angle that is 34 degrees are vertical angles!

5 0

2 years ago

A number is 6 times another number and their difference is 30. What are the numbers?

Alenkasestr [34]

Answer:

x=36

y=6

Step-by-step explanation:

Let the numbers be x and y

Condition 1

x=6y ----------(1)

Condition 2

x-y=30 ------------(2)

Putting 1 in 2

6y-y=30

5y=30

Dividing both sides by 5

y=6

Now

Putting y=6 in 1

We get

x=6(6)

x=36

8 0

3 years ago

at maximum speed, an airplane travels 1720 miles against th wind in 5 hours. Flying with the wind, the plane can travel the same

iragen [17]

Answer:

x = 387

Step-by-step explanation:

The wind acts in the opposite direction to the plane when the time is longer.

The wind acts in the same direction as the plane when the time is shorter.

Equation

d = r*t

Givens

d = 1720
x = plane's speed
y = wind speed
t1 = 5 hours
t2 = 4 hours.

Substitution

d = (x + y) * t
1720 = (x + y) * 4
1720 = (x - y) * 5

Since the two distances are the same, you can equate the right hand sides.

(x + y) * 4 = (x - y)*5 Remove the brackets.
4x + 4y = 5x - 5y Add 5y to both sides
4x + 4y + 5y = 5x - 5y + 5y Combine all the terms.
4x + 9y = 5x Subtract 4x from both sides
9y + 4x - 4x = 5x - 4x Combine
9y = x

Now use one of the given equations with the distance

1720 = (x + y)*4 Substitute 9y for x
1720 = (9y + y) * 4 Combine
1720 = 10y * 4 Multiply the right
1720 = 40y Divide by 40
1720/40 = 40y/40 Do the division
43 = y y = wind speek
9y = x x = 9*y
9*43 = x
x = 387 miles per hour.

4 0

3 years ago

I need help on 15 please

Nikolay [14]

The ratio 12:20 because you need it to be equal to 3:5. 3 times 4 which makes 12 so you need to multiply 5 with 4 too

4 0

2 years ago

A woman starts out walking due north for 2 miles, and then she turns due west and continues for another 2 miles. How far from he

Mrac [35]

For this case we can model the problem as a rectangle triangle.
We have:
Length of the sides of the triangle.
We want to find:
Length of the hypotenuse.
Using the Pythagorean theorem we have:
$d ^ 2 = 2 ^ 2 + 2 ^ 2
$
$d = \sqrt{2 ^ 2 + 2 ^ 2} 

d = \sqrt{4 + 4} 

d = \sqrt{8} 

d = 2\sqrt{2} 
$
Answer:
She is:
$d = 2\sqrt{2}$
miles far from her starting point

4 0

3 years ago