Answer:
$61.59
Step-by-step explanation:
1 shirt = $20.53
3 shirts x $20.53 = $61.59
to check:
$61.59 ÷ 3 shirts = $20.53 each
Answer:
x = -5/7
Step-by-step explanation:
8 1
---------- = ----------
x+3 x+1
Using cross products
8 (x+1) = 1 (x+3)
Distribute
8x+8 = x+3
Subtract x from each side
8x-x +8 = x-x+3
7x+8 =3
Subtract 8 from each side
7x +8-8 =3-8
7x = -5
Divide each side by 7
7x/7 = -5/7
x = -5/7
Hi there! :)
Answer:

Given:

The given expression is a logarithm with a base of 10, therefore we can rewrite this as:

Evaluate:

Step-by-step explanation:
Start by multiplying both sides by cosα:
1 + sinα + (cos²α)/(1+sinα) = 2
sinα + (cos²α)/(1+sinα) = 1
Now multiply both sides by 1+sinα:
sinα + sin²α + cos²α = 1 + sinα
sin²α + cos²α = 1 Q.E.D.
Answer:
192
Step-by-step explanation:
There are a total of 15 marbles . When the lavender is left out 14 remain.
Using combinations we find that each of the four color marbles can be chosen in the following way.
2C1*4C1*4C1*6C1= 2*4*4*6= 192
We select one of the two red marbles , one of the four green marbles, one of the four yellow marbles, one of the 6 orange marbles leaving the lavender out.. We apply combinations and then multiply to get the answer.