Answer:
Shorts: 38
T-Shirts: 152
Step-by-Step
The number of shorts sold can be written as (s) and the number of t-shirts sold can be written as (t)
We know that shirts are $2, and shorts are $4, and the total sales were $456, so the following equation can help us to find the answer, since if we add up the money from shirts and the money from shorts we’ll get the total sales.
4s + 2t = 456
Next, we know that shirts were bought 4 <em>times </em> <em>more </em>than shorts, so we can also write the following equation:
4s = t
Now, since we have a defined “value” for t
(<em>t = 4s), </em>we can substitute this value into the first equation.
4s+ 2(4s) = 456,
4s + 8s = 456,
12s = 456
s = 38
Now we can use this value in the second equation, and solve for t
4s = t
4(38) = t
152 = t
Answer:
<em>x ≈ 6.5 , y ≈ 12.1</em>
Step-by-step explanation:
(2x)² + (10.2)² = (16.5)²
4x² = 272.25 - 104.04
x² = 168.21 ÷ 4
<em>x</em> = √(42.0525) ≈ <em>6.5</em>
y² = 42.0525 + 104.04 = 146.0925
<em>y</em> = √(146.0925) ≈ <em>12.1</em>
Answer : 24/5 pi
Step-by-step explanation:
24/5pi
Answer:
m=-
Step-by-step explanation:
Answer:
x = - 6 , x = 4
Step-by-step explanation:
the absolute value function always gives a positive value but the expression inside can be positive or negative , that is
2x + 2 = 10 or - (2x + 2) = 10
solving both
2x + 2 = 10 ( subtract 2 from both sides )
2x = 8 ( divide both sides by 2 )
x = 4
or
- (2x + 2) = 10
- 2x - 2 = 10 ( add 2 to both sides )
- 2x = 12 ( divide both sides by - 2 )
x = - 6