To solve this problem, let us assign the variables. Let
us say that:
x = age of Tony = which also the age of his twin brother Evan
x + 4 = age of Josh (since tony is 4 years younger, then
josh must be 4 years older)
x – 2 = age of Cindy (since tony is 2 years older, then
cindy must be 2 years younger)
There are a total of 4 children, therefore:
x + x + x + 4 + x – 2 = 66
4 x + 2 = 66
4 x = 64
x = 16
Therefore Tony is 16 years old.
Jose's current balance is 991.12
Hopes this helps.
Solve the following system using substitution:
{5 x - 6 y = 19
{4 x + 3 y = 10
In the first equation, look to solve for x:
{5 x - 6 y = 19
{4 x + 3 y = 10
Add 6 y to both sides:
{5 x = 6 y + 19
{4 x + 3 y = 10
Divide both sides by 5:
{x = (6 y)/5 + 19/5
{4 x + 3 y = 10
Substitute x = (6 y)/5 + 19/5 into the second equation:
{x = (6 y)/5 + 19/5
{3 y + 4 ((6 y)/5 + 19/5) = 10
3 y + 4 ((6 y)/5 + 19/5) = ((24 y)/5 + 76/5) + 3 y = (39 y)/5 + 76/5:
{x = (6 y)/5 + 19/5
{(39 y)/5 + 76/5 = 10
In the second equation, look to solve for y:
{x = (6 y)/5 + 19/5
{(39 y)/5 + 76/5 = 10
Subtract 76/5 from both sides:
{x = (6 y)/5 + 19/5
{(39 y)/5 = -26/5
Multiply both sides by 5/39:
{x = (6 y)/5 + 19/5
{y = -2/3
Substitute y = -2/3 into the first equation:
Answer: {x = 3, y = -2/3
Since both triangles have a right-angle, and the two angles at vertex C are also twins, thus both triangles are similar by AA, therefore,
Step-by-step explanation:
<u>Step 1: Find the probability of choosing a black sock</u>
<u>Step 2: Find the probability of choosing another black sock</u>
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<u>Step 3: Multiply them together to get the probability</u>
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Answer: Option D, 2/5
