Answer:
y = 80-16x
Step-by-step explanation:
She made a total of 80 cups and sells 16 cups per hour
So in x hours she would have sold 16 * x = 16x cups
So the number of cups remaining will be;
y = 80-16x
We need to find the percent increase from 38.8 to 82.4, so
x * 38.8 = 82.4
x = 82.4/38.8
x = 2.1237
Multiply by 100 to convert to percentage (move decimal 2 places to the right)
2.1237 = 212.37%
Now we can apply this percentage increase to the onion dip...
0.48 x 212.37% =
0.48 x 2.1237 = 1.019
Round to the nearest cent $1.02 is the amount of increase. Now add it to the original price to get today's price...
$1.02 + .48 = $1.50
To factor this notable trinomial, you have to find two numbers that summes give -5 and multiplied give 6*(-25) = -150
Then let's call n1 and n2 the two numbers and a the number before x^2 (6)
ax^2+sx+fn = (ax + n1)(x + n2/a)
Numbers are -15 and +10
-15+10 = -5
-15*10 = -150
So
(6x-15)(x + 10/6)
Or write it as a sum
6x^2 + 10x - 15x - 25
And factor
6x^2 + 10x = 2x(3x+5)
-15x-25 = -5(3x+5)
(2x-5)(3x+5)
Answer:
x = 8
Step-by-step explanation:
Δ TSU and Δ TRV are similar , thus the ratios of corresponding sides are equal, that is
= 
, substitute values
= 
= 
( cross- multiply )
3x = x + 16 ( subtract x from both sides )
2x = 16 ( divide both sides by 2 )
x = 8
