at freds house, santa ate the same number of suger cookies and chocolate chip cookies. Twice the number of sugar cookies he ate
2 answers:
Answer:
<h2>Santa ate one sugar cookie and 1 chocolate chip cookies.</h2>Step-by-step explanation:
We know that
<h3>Santa ate the same number of sugar cookies and chocolate chip cookies.</h3>If represents sugar cookies, and
represents chocolate chip cookies.
This part of the problem is expressed as
Because Santa ate the same of each type.
<h3>Twice the number of sugar cookies he ate decreased by one equals the number of chocolate chip cookies.</h3>Now, this part of the problem is expressed
Because twice of sugar cookies decreased by one is equals to chocolate chip cookies.
Replacing the first equation into the second one, we have
Now, replacing this value in the first equation, we have
Therefore, Santa ate one sugar cookie and 1 chocolate chip cookies.
You might be interested in
The region(s) represent the intersection of Set A and Set B (A∩B) is region II
<h3>How to determine which region(s) represent the intersection of Set A and Set B (A∩B)?</h3>The complete question is added as an attachment
The universal set is given as:
Set U
While the subsets are:
- Set A
- Set B
The intersection of set A and set B is the region that is common in set A and set B
From the attached figure, we have the region that is common in set A and set B to be region II
This means that
The intersection of set A and set B is the region II
Hence, the region(s) represent the intersection of Set A and Set B (A∩B) is region II
Read more about sets at:
#SPJ1
Answer:
Raising something to a negative exponent is just taking the reciprocal of the amount.
Step-by-step explanation:
Let's assume that you wanted to know what is.
To find it, you would take the reciprocal of the x amount. So becomes
.
This works because of the nature of exponents. Exponents represent the number of times you are multiplying a value by itself. So would be equal to a · a · a. To increase the exponent, you increase the number of times the value is multiplied by itself: To increase
to
, you would have to multiply a with
two more times (a · a · a · a · a). To decrease the exponent, you must divide the value by itself. So to decrease
to
, you would have to divide
by a 3 times.
If the exponent is 0, the value is equal to 1. But you can still decrease the exponent into negative numbers. You just divide 1 by a the desired amount of times: means that you are dividing 1 by a 3 times.
Hope this helps.