C
She'd have to have given her more than 48 dollars to receive more than 30 dollars back
It can't be D because that implies she could've received exactly 30 dollars in change and the question states she received more than that.
Answer:
Length: 84 ft
Width: 56 ft
Step-by-step explanation:
Let's define some variables first.
Call the length l and width w.
We know that w = 2/3l. Therefore, we can express w in terms of l with this expression.
Now, let's set up an equation. The flower garden is rectangular, and 280 feet of fencing are used to enclose the garden. This represents perimeter.
Remember the formula for perimeter of a rectangle: 2l + 2w
Let's substitute 2/3l for w:
2l + 2*2/3l = P
2l + 4/3l = 280
2 4/3l = 280
10/3l = 280
l = 84
Now, we know that the length is equal to 84 feet. We can multiply 84 feet by 2/3 to find the width.
84*2/3 = 56
Length: 84 ft
Width: 56 ft
Let's plug these values into the formula and see if they give us the correct perimeter:
2l + 2w = P
2*84 + 2*56 = P
168 + 112
= 280 feet
These are the correct dimensions!
Hope this helps! You can reach out to me if you have further questions or concerns! :)
Answer:
The answer to your question is the letter B. 27
Step-by-step explanation:
Data
The Radius of large sphere = 3 times the size of the radius small sphere.
The Ratio of Volume = ?
Formula
Volume of a sphere = 4/3 πr³
Process
1.- Calculate the volume of the large sphere
Vl = 4/3 π(3r)³
2.- Calculate the volume of the small sphere
Vs = 4/3 πr³
3.- Calculate the ratio
Vl / Vs = [4/3π(3r³)] / [4/3 πr³]
- Simplification
Vl / Vs = 3³r³ / r³
Vl / Vs = 27
Answer: x=7 and AC = 44 unuts.
Step-by-step explanation:
We know that the diagonals of a parallelogram bisect each other. (i)
Here in parallelogram ABCD , AC and Bd are diagonals intersecting at E.
BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6
Using (i)
Now , AE = 4(7)-6 = 28-6 = 22
AC =2 AE = 2 (22) =44 units.
Hence, x=7 and AC = 44 unuts.
Answer: 0.0114
Step-by-step explanation:
Since we are given the information that the quality control manager samples 700 LED bulbs and finds out that 8 bulbs have defects in them.
The probability that a bulb selected at random will have a defect will be calculated as follows:
= Number of defected bulbs / Total number of bulbs sampled
= 8/700
= 0.0114
Therefore, the probability is 0.0114.
