Answer:
1100 cookies
Step-by-step explanation:
There are 3 types of cookies, the first represents 45% of the total, the second 25% and the last type there are 330. We can pose the following equation:
0.45 * x + 0.25 * x + 330 = x
solving for x:
x - 0.45 * x - 0.25 * x = 330
0.30 * x = 330
x = 330 / 0.3
x = 1100
which means that there are a total of 1100 cookies
Answer:
The new amount paid to mechanics per after by new owner is $ 19 Answer
Step-by-step explanation:
Given as :
The amount paid to mechanics initially = $ 20 per hour
Now, The new owner paid less at the rate = 5%
Let the amount paid to the mechanics after 5 % less = x per hour
So, According to question
The new amount paid to mechanics per hour = initial amount paid per hour × ( 1 -
)
or, The new amount paid to mechanics per hour = $ 20 × ( 1 -
)
I.e The new amount paid to mechanics per hour = $ 20 × 0.95
∴ The new amount paid to mechanics per hour = $ 19
Hence The new amount paid to mechanics per after by new owner is $ 19 Answer
Area of triangle = 1/2 x base x height
so old triangle we have 1/2 x b x h = 48
new triangle has base 3 times as long and height is half as long
so we would get:
1/2 x (3B) x (1/2H) = area
rewrite as 1/2 x 3/2 x b x H = area
divide by original are os 1/2 x b x h and you end up with 3/2
so new area = 3/2 x old area
new area = 3/2 * 48 = 72 square inches
Easy, so absolute value makes anything inside into positive
|x|=2
therefor x=-2 or x=2 since it would be made posotive
answer is -2 and 2