<u>Answer:</u>
<em><u>w = -19</u></em>
<em><u></u></em>
<u>Explanation:</u>
To solve this equation, subtract ten from both sides. This will isolate the variable (w) and allow us to find its value.
If you would like to double check that the variable (w) does in fact equal negative nineteen, substitute the value of the variable in the equation and solve.
![10 + w = -9\\10 + -19 = -9\\-19 = -19 [true]](https://tex.z-dn.net/?f=10%20%2B%20w%20%3D%20-9%5C%5C10%20%2B%20-19%20%3D%20-9%5C%5C-19%20%3D%20-19%20%5Btrue%5D)
Therefore, the value of w in the given equation is <em><u>-19.</u></em>
Two answers are possible.
One is with the repetition of digits.
The other is without repetition of digits.
ANSWER 1: With Repetition
Numbers: 1,2,4,5,7,8
There are 4 digits __ __ __ __
1st digit can be filled by any of the 6 numbers.
Similarly 2nd, 3rd and 4th digits.
Hence each digit will have 6 possibilities.
Therefore no.of 4 digit numbers that can be formed are 6 x 6 x 6 x 6 = 1296
ANSWER 2: Without Repetition
4 digits __ __ __ __
Now the first digit can be filled by any of the six numbers. Therefore there are 6 possibilities
The second digit will have only 5 possibilities as one of the numbers gets used up by the 1st digit.
Similarly the 3rd and 4th digits will have 4 and 3 possibilities respectively.
Therefore no.of 4 digit numbers that can be formed are 6 x 5 x 4 x 3 = 360
In order to solve this you have to use the pythagorean’s theorem, which is a^2+b^2=c^2. from the problem you can find out you have a=13ft and c=24ft. c is your hypotenuse. you then solve and you get b=20.17ft. you can check to make sure the answer is right, but that is how you solve it. And the ladder would reach 20.17ft.
Answer:
the interest owed is 1684.8
Step-by-step explanation:
Formula for simple interest =
I = Prt, where P is amount borrowed, r for interest rate and t for time.
Since the first three years is 1.6% interest we can write:
I = 15600 x 0.016 x 3
= 748.8
Then for the following 3 years the interest rate is 2%:
I = 15600 x 0.02 x 3
= 936
Adding the values gives us 1684.8
|2x + 6| - 4 = 20
First, add 4 to both sides. / Your problem should look like: |2x + 6| = 20 + 4
Second, simplify 20 + 4 to 24. / Your problem should look like: |2x + 6| = 24
Third, break down the problem into these 2 equations. / 2x + 6 = 24 and -(2x + 6) = 24
Fourth, solve the 1st equation: 2x + 6 = 24
Subtract 6 from both sides. / Your problem should look like: 2x = 24 - 6
Simplify 24 - 6 to 18. / Your problem should look like: 2x = 18
Divide both sides by 2. / Your problem should look like: x =
Simplify
to 9 / Your problem should look like:
x = 9
Fifth, solve the 2nd equation: -(2x + 6) = 24
Simplify brackets. / Your problem should look like: -2x - 6 = 24
Add 6 to both sides. / Your problem should look like: -2x = 24 + 6
Simplify 24 + 6 to 30. / Your problem should look like: -2x = 30
Divide both sides by -2. / Your problem should look like: x =
Simplify
to
/ Your problem should look like: x =
Simplify
to 15. / Your problem should look like:
x = -15
Sixth, collect all of your solutions. / Your problem should look like: x = -15, 9
Answer:
x = -15, 9 (C)
