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babunello [35]
3 years ago
12

What is the greatest common factor of 42a5b3, 35a3b4, and 42ab4?

Mathematics
1 answer:
tiny-mole [99]3 years ago
4 0

For this case we have that by definition, the Greatest Common Factor (GCF) is the largest factor that 2 numbers have in common.

So, we have the following expressions:

42a ^ 5b ^ 3\\35a ^ 3b ^ 4\\42ab ^ 4

We look for the positive integers that divide to 35 and 42 without leaving residue:

42: 1,2,3,6,7,14,21

35: 1,5,7

Thus, the GCF of 42 and 35 is 7

Then, the GCF of the three expressions is:

7ab ^ 3

Answer:

7ab ^ 3

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PLEASE HELP!!! Anita hikes 7 miles due east and then 3 miles due north. Rounded to the nearest mile, what is the shortest distan
tekilochka [14]

The answer you are looking for is C. 8.

To find this you could Pythagorean Theorem. The base or bottom of the triangle would be 7, and the "leg" of the triangle would be 3. In this instance, we will call 3 "a" and 7 "b". We use these two numbers to find the missing value, which is "c" or the hypotenuse.

The formula for Pythagorean Theorem is "a^2 + b^2 = c^2". Then we follow these steps.

  1. Fill in the known values. 3^2 + 7^2 = c^2
  2. Simplify the squared numbers. 9 + 49 = c^2
  3. Add the numbers together. 58 = c^2
  4. Square root both sides. √58 = c.
  5. Round up to the nearest whole mile. 7.615 = c; c = 8.

Here's a picture to show how I did this. I hope this helps!


6 0
3 years ago
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finlep [7]
It should be 620
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7 0
3 years ago
BRAINLYYYY PLUS 100 PointsThe difference between two numbers is 84 and their sum is 278. What are the numbers? Hint( answer is x
den301095 [7]

Answer:

x = 181 and y = 97

Step-by-step explanation:

let called the first number is x

the second number would be called y

We are given that:

x + y = 278 (1)

x = y + 84 (2)

Let change x in (2) into (1):

y + 84 + y = 278

2y + 84 = 278

Subtract 84 from both side, we got:

2y + 84 - 84 = 278 - 84

2y + 0 = 194

Divide both side by 2, we got:

2y / 2 = 194 / 2

y = 97

Because y = 97 and x + y = 278 so x would equal:

x + 97 = 278

Subtract 97 from both side, we got:

x + 97 - 97 = 278 - 97

x + 0 = 181

x = 181 and y = 97

Hope this helped :3

4 0
3 years ago
Mr. Khans is buying staplers for his office. Each stapler costs $16.99. Part A: What does his final total cost depend upon? Part
melamori03 [73]

Answer:

his cost depends on how many staplers he gets and the input is how much each stapler cost and output is how much he has to spend

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Solve for Y (2x+2y=4)​
spin [16.1K]

Answer:

y=-x+2

Step-by-step explanation:

2x+2y=4

2y=-2x+4 (Subtract 2x from both sides of the equation)

y=\frac{-2x+4}{2} (Divide both sides of the equation by 2 to get rid of y's coefficient)

y=-x+2 (Simplify RHS)

Hope this helps!

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