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hjlf
3 years ago
15

Which of the following is a PRIME factor of 180? A. 7 B. 4 C. 5 D. 9

Mathematics
2 answers:
QveST [7]3 years ago
6 0

Answer:

5

Step-by-step explanation:

4 and 9 are composite numbers, so that automatically rules them out. The last two Prime numbers are 7 & 5, right?

180/7 = 25.71 - Since this ends up being a decimal, it cannot be a factor.

180/5 = 36

5 is both a prime number, and it factors evenly: this makes 5 the correct answer.

Hope I could help!

adelina 88 [10]3 years ago
5 0

Answer:

C

Step-by-step explanation:

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KATRIN_1 [288]
The independent variable (the one they want) is the # of hours worked, since that determines the price.

All the other answers contain information not included in the problem
5 0
3 years ago
Read 2 more answers
Solve equation by using the quadratic formula.
Sati [7]

Answer: 1:  x=3, x=1

2:  x= -5

3:  There are 2 real solutions.

4:  There are 2 real solutions.

5:  There are no real solutions.

6.  There is 1 real solution.

7.  

8.  x= -6, x = -2

9.  x = -1/6, x=1

10.  

Explanation:

1.  The quadratic formula is

Substituting our known information we have:

2.  Rewriting the quadratic in standard form we have x²+10x-25=0. Substituting this into the quadratic formula gives us:

3.  The discriminant is b²-4ac.  For this problem, that is 20²-4(-4)(25)=400--400=800.  Since this is greater than 0, there are 2 real solutions.

4.  The discriminant in this problem is 7²-4(2)(-15)=49--120=49+120=169.  This is greater than 0, so there are 2 real solutions.

5.  The discriminant in this problem is 1²-4(-2)(-28)=1-224=-223.  Since this is less than 0, there are no real solutions.

6.  If the discriminant of a quadratic is 0, then by definition there is 1 real solution.

7.  Rewriting the quadratic we have 3x²-4x-2=0.  Using the quadratic formula we have:

8.  Factoring this trinomial we want factors of 12 that sum to 8.  6*2 = 12 and 6+2=8, so those are our factors.  This gives us:

(x+6)(x+2)=0

Using the zero product property we know that either x+6=0 or x+2=0.  Solving these equations we get x= -6 or x= -2.

9.  Factoring this trinomial we want factors of 6(-1)=-6 that sum to -5.  (-6)(1)=-6 and -6+1=-5, so this is how we "split up" the x term:

6x²-6x+1x-1=0

We group together the first two and the last two terms:

(6x²-6x)+(1x-1)=0

Factor the GCF out of each group.  In the first group, that is 6x:

6x(x-1)+(1x-1)=0

In the second group, the GCF is 1:

6x(x-1)+1(x-1)=0

Both terms have a factor of (x-1), so we can factor it out:

(x-1)(6x+1)=0

Using the zero product property, we know either x-1=0 or 6x+1=0.  Solving these equations we get x=1 or x=-1/6.

10.  Substituting our information into the quadratic formula we get:

Step-by-step explanation:

5 0
2 years ago
Is the quotient of two integers always a rational number? Explain.
Troyanec [42]

Answer:

It is true that the quotient of two integers is always a rational number. This is because a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

4 0
3 years ago
If f(x)=x+8 and g(x)=-4-3 find (f+g)(x)
Lilit [14]

Answer:

(f+g)(x) = -3x+5

Step-by-step explanation:

f(x)=x+8 and g(x)=-4x-3

(f+g)(x) = f(x) + g(x)

             = x+8+-4x-3

             = -3x+5

3 0
2 years ago
Sarita used 54 ounces of apples to make an apple pie.How many pounds and ounces of apple did sarita use?
Inga [223]

Answer:

C

Step-by-step explanation:

16 ounces is equal to 1 pound

Divide 54 by 16 and you get 3.375

You know that there are 3 pounds now, so subtract 3 from what you got to get 0.375

Now multiply 0.375 by 16 to turn it back into ounces, which is 6

3 pounds and 6 ounces is answer choice C

8 0
3 years ago
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