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Alina [70]
3 years ago
11

Two numbers have a sum of 44. The larger number is 2 more than the smaller number. What is the smaller number?

Mathematics
1 answer:
Keith_Richards [23]3 years ago
6 0
Hello :
 x the smaller number
x+2x =44
3x ==44
x=44/3
 
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Answer:

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Step-by-step explanation:

I'll solve the first one . The other can be solved in a similar way. We can use the method of elimination.

x1 - x2 = 0

3x1 - 2x2 = -1

We can multiply the first equation by -2. We then have an equation containing + 2x2 so when we add this to the second equation the 2x2 will be eliminated

So the first equation becomes:

-2x1 + 2x2 = 0     Bring down the second equation:

3x1 - 2x2 = -1       Now adding, we get:

x1 + 0 = -1

so x1 = -1.

Now we substitute this value of x1 in the original first equation:

-1 - x2 = 0

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x2 = -1.

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Events A and B are independent. The probability of A occurring is . The probability of B occurring is . What is P(A and B)?
MArishka [77]
The probability of both A and B occurring is A×B
4 0
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Post Falls High School in Idaho has 1160 students and is growing by 22 students per year.  Richmond High School in Indiana has 1
lesantik [10]
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5 0
2 years ago
To factor the expression 3x2 – 9x, Caleb found the GCF as shown.
Burka [1]

Answer:

Caleb’s error was :

instead of selecting the least exponent ,Caleb took the highest exponent.

Step-by-step explanation:

3x² = 3 • x • x

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9x = 3 • 3 • x

(in this factorization the exponent of 3 is 2 and the exponent of x is 1)

• The common factors of 3x² and 9x are 3 and x

In order to determine the GCF ,we have to Compare the exponents of the  common factors then take the numbers which have the least exponent value.

• in the factorization of 3x² the exponent of 3 is 1

and in the factorization of 9x the exponent of 3 is 2

The least exponent is 1 Then we take it.

• in the factorization of 3x² the exponent of x is 2

and in the factorization of 9x the exponent of x is 1

The least exponent is 1 Then we take it.

<u><em>Conclusion</em></u>:

GCF(3x² , 9x) = 3¹ × x¹ = 3x

8 0
2 years ago
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