Answer:
t^2 - 11t + 14
Step-by-step explanation:
Begin by grouping like terms in 9t^2+14-17t+6t-8t^2.
First we have 9t^2 - 8t^2, or 1t^2.
Next, we have -17t + 6t, or -11t.
Last, we have the constant term 14.
The expression in simplified form is t^2 - 11t + 14.
First we can divide it by 106 then multiply it by 100 to get rid of the 6% sales tax, which now the cost of the stuff is $17.50.
Next, we subtract 8 from this to represent the clothing pattern cost. Now it is $9.50.
The last stap to this is to divide it by 1 1/4 to get the final cost per yard:
The fabric costs $7.60 per yard. Hope this helps!
Answer:
You can use Pythagoras theorem to calculate x:
12² + 14² = x²
144 + 196 = x²
x² = 340
x = √340 ≈ 18,44
The percent equivalent to 1 / 4 = 25 %.
The percent equivalent to 3 / 4 = 75 %.
25 % x 3 = 75 % ( correct )
Answer:
The system if equation that can be used to derive this are
6x + 4y = 69 AND
12x + y = 96
The price of a drink is $7.5
Step-by-step explanation:
The question here says that Taylor and Nora went to the movie theater and purchase refreshments for their friends. Taylor spends a total of $69.00 on 6 drinks and 4 bags of popcorn Nora spends a total of $96.00 on 12 drinks and bag of popcorn.And we are now told to write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations,we should determine and state the price of a drink, to the nearest cent .
Now, Let's assume that the price of a drink is "X" and that of a bag of popcorn to be Y
The first person made a purchase which led to the equation
6x + 4y = 69______ equation 1
And the second person also made a purchase that lead to the equation
12x + y = 96_____ equation 2
We make y the subject of the formula in equation 2 and apply it in 1
Y = 96 - 12x
Now apply the above in equation 1
6x + 4y = 69
6x + 4(96 - 12x)= 69
6x + 384 - 48x = 69
42x = 384 - 69
X = 315/42
X = 7.5
Substitute x= 7.5 in equation 2
12x + y = 96
12(7.5) + y = 96
90 + y = 96
Y = 6
Therefore, the price of a drink is $7.5
