Answer:
5 shirts must be sold.
Step-by-step explanation:
First, set up the equation. Each shirt (x) is sold for $16:
For every amount (y) for x: (y)(x) = (16)(y)
The cost is $4, with the setup fee as $60.
(16)(y) = (4)(y) + 60
16y = 4y + 60
Isolate the variable (y). Note the equal sign, what you do to one side, you do to the other. First, subtract 4y from both sides.
16y (-4y) = 4y (-4y) + 60
16y - 4y = 60
12y = 60
Next, isolate the variable (y). Divide 12 from both sides.
(12y)/12 = (60)/12
y = 60/12
y = 5
5 shirts must be sold.
To check, plug in 5 for y in the equation:
16y = 4y + 60
16(5) = 4(5) + 60
Simplify.
16(5) = 4(5) + 60
80 = 4(5) + 60
80 = 20 + 60
80 = 80 (True).
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Answer:
x=17
Step-by-step explanation:
the two segements equal each other, so make teh equations equal eachother and solve for x ,2x-10=x+7
Answer:
25
Step-by-step explanation:
a² + 7a + 7
a = 2
Plug in the value of 2 for every occurance of a.
(2)² + 7(2) + 7
First, solve the exponent.
4 + 7(2) + 7
Now, multiply.
4 + 14 + 7.
Add.
25
This is your answer.
Hope this helps!
8. 5 root 3 (b)
9. a, 14 root 6
Just add the numbers in front! Find the prime factorization and take out multiples inside a square root to simplify it
Answer:
35/132.
Step-by-step explanation:
There are a total of 12 balls. So:
Prob(First is green) = 5/12.
After the first selection there are 11 balls left.
Prob(The second is red) = 7/11.
The required probability = 5/12 * 7/11
= 35/132.
Note: the probabilities are multiplied because the 2 events are independent.
