Answer:
I hope this helps
Step-by-step explanation:
So the way to handle a problem like this is to rewrite the three numbers in terms of their relationship to one of the three numbers. Let's call the numbers x, y, and z, where x is the first number, y is the second, and z is the third.
We know x + y + z = 83.
Since the third number is twice the second, we say that z = 2y.
Since the second number is seven less than the first, we say that y = x - 7. We can rewrite this as x = y + 7.
Now all three can be written in terms of y.
x + y + z = 83
(y + 7) + y + 2y = 83
4y + 7 = 83
4y = 76
y = 19
The second number is 19. The first is 19 + 7 or 26, and the third is 2 times 19 or 38.
A check reveals that 26 + 19 + 38 = 83.
Answer:
10 feet.
Step-by-step explanation:
I am assuming this is a right triangle. We use Pythagoras theorem:
h^2 = 6^2 + 8^2
h^2 = 100
h = 10 feet.
Answer:
450
Step-by-step explanation:
Given:
.
To find:
The value of 
, rounding to the nearest thousandth.
Solution:
We know that,
On substituting , we get
Therefore, the value of is 0.646.
This is an example of systems of equations, using weird symbols rather than x or y.
We'll substitute the symbols for the variables d and c
d for diamond, c for clover.
3 + d = c
c + d = 11
We can solve for one variable in the first equation to find the true value of the other variable in the second equation.
3 + d = c
<em><u>Subtract 3 from both sides.</u></em>
d = c - 3
Now we have a value for d and can solve the second equation.
c + d = 11
<em><u>Substitute.</u></em>
c + c - 3 = 11
<em><u>Add 3 to both sides.</u></em>
c + c = 14
<em><u>Combine like terms.</u></em>
2c = 14
<em><u>Divide both sides by 2.</u></em>
c = 7
Now we know the absolute value of c and can solve for the value of d.
d + c = 11
d + 7 = 11
<u><em>Subtract 7 from both sides.</em></u>
d = 4
The diamond, or d, is equal to 4. And the clover, or c, is equal to 7. (This is your answer.)
Let me know if you have any questions.
