Let
Y be the age of Franco's dad.
X Franco's age
Y = 3*X (1)
(Y +10) = 2*(X+10) +2 (2)
(3*X +10) = 2*X +20 +2
(3-2)X = 22 -10
X = 12 years old (Franco)
Y = 3*12 = 36 years old (Franco's dad)
A. The ratio of lynx to mountain lions to wolverines is 2:3:1.
Thus, there are 2 lynx in the ratio. If there were 6 lynx, we would have to multiply all of the numbers in the ratio by 3 (because 6/2 = 3) to keep the ratio in the same proportion.
Therefore, because there is 1 wolverine in the ratio, and 1 * 3 = 3, if there were 6 lynx, there would be 3 wolverines.
b. We can use the same ideas that we had in part a to help us in part b.
There are 3 mountain lions in the ratio, but there are 15 mountain lions in the problem. Thus, the multiplier is 5, because 15/3=5.
Therefore, because there are 2 lynx in the ratio, and 2*5 = 10, if there were 15 mountain lions, there would be 10 lynx.
c. There is one wolverine in the ratio, but there are 10 wolverines in the problem. Thus, the multiplier is 10, because 10/1 = 10
Therefore, because there are 3 mountain lions in the ratio, and 3 * 10 = 30, if there were 10 wolverines in the park, then there would be 30 mountain lions.
d. The total number of lynx, mountain lions, and wolverines is 30.
To find out how many of each animal there should be, we must make an equation using the ratio and the variable x.
2x + 3x + 1x = 30
This equation means that the total number of animals together is 30, which is true. Now let's simplify by combining like terms.
6x = 30
Finally, we can simplify by dividing both sides by the coefficient of x, or 6.
x = 5
Thus, going back to our original equation, we know that the amount of lynx is 2x, mountain lions is 3x, and wolverines is 1x.
Lynx = 2x = 2(5) = 10 lynx
Mountain Lion = 3x = 3(5) = 15 mountain lions
Wolverines = 1x = 1(5) = 5 wolverines
Hope this helps! :)
2.32 x 10⁵ = 232000
This can be solved by multiplying 2.32 to the product of 10 multiplied 5 times.
10⁵ = 10 * 10 * 10 * 10 *10
10⁵ = 100,000
2.32 x 100000 = 232000
The given equation is the standard form of a decimal number. It is used to write down a very large or very small number easily.
There are a lot of standard forms. Like: Standard form of an equation and Standard form of a polynomial.
<em><u>Solution:</u></em>
<em><u>Given that,</u></em>
We have to write in simplest form
<em><u>Use the following law of exponent</u></em>
Using this, simplify the given expression
Thus the given expression is simplified
Answer:
The dialation is of 2
Step-by-step explanation:
QR = 3 units
QS = 2 units
RS = 2 units
Q'R' = 6 units
Q'S' = 4 units
R'S' = 4 units
So as you can see, this triangle has doubled it's size, since it has been multiplied by 2.
Hope this helped!
Have a supercalifragilisticexpialidocious day!
