Let k and d be the Kevin's age and the Daniel's age;
We have the equation:
k = 3 + d;
k - 2 = 4( d - 2 );
We have 3 + d - 2 = 4d - 8;
Then, d + 1 = 4d - 8;
9 = 3d;
d = 3.
Finally, k = 6 years.
Answer:
If you multiply 256 by 10 powered by k, then the number of zeros in the product is k
Step-by-step explanation:
Let x be any integer, if you multiply x by 10 you will have to add one zero at the right of x. If you multiply by 10 again, you will have to add a second zero at the right, thus if you multiply by 100, you will have to add 2 zeros. If you multiply by 1000 = 10*10*10 = 10³ you will have to add 3 zeros and so on.
Therefore, if you multiply 256 by 10^k, then you will have to add k zeros to 256, and as a consequence, the amount of zeros in the product is equal to the power of 10 we are multiplying.
Answer:
From the given ratio for 
we found the values are
Step-by-step explanation:
Given the ratio for
We have to find the rest of trignometric functions:
can be written as
Comparing equations (1) and (2) we get
Equating the coressponding numerator and denominator respectively
Therefore and
We can find 
(since )
We can find 
(since )
To find 
:
Answer:
Step-by-step explanation:
The total amount of lemonade Regan sells is 69/16 gallons and this can be determined by using the arithmetic operations.
Given :
Mark sold 2 7/8 gallons of lemonade.
Regan sold 2/3 as much lemonade as Mark.
The following steps can be used in order to determine the total amount of lemonade Regan sells:
Step 1 - The arithmetic operations can be used in order to determine the total amount of lemonade Regan sells.
Step 2 - According to the given data, Mark sold 23/8 gallons of lemonade.
Step 3 - Let the total amount of lemonade Regan sells be 'x'.
Step 4 - So, the value of 'x' can be calculated as:
x = 23/8 × 3/2
x = 63/16
The total amount of lemonade Regan sells is 69/16 gallons.
Answer:
490 feet above sea level.
Step-by-step explanation:
