1. Create the indicated algebraic expression. Use descriptive variables. The length of a rectangular lawn is 6 ft more than three times the width of the lawn. Express the length of the lawn in terms of the width.
A. 3+w+6
B. 3(w+6)
C. 6w+3
D. 3w+6
For 1 I thought it was B?
2. Convert the following number to scientific notation. The diameter of Jupiter is approximately 143,000,000 meters.
a. 1.43 * 10^7 meters
b. 1.43 * 10^8 meters
c. 14.3 * 10^7 meters
d. 14.3 * 10^8 meters.
For 2 I thought it was A?
1. (D)
B is "three times six feet more than the width"
2. (B)
If you shift the decimal place by 7 in (A) you get 14,300,000
Thanks Steve! You've been a great help through this
For question 1, you are asked to express the length of a rectangular lawn in terms of its width. Let's break down the information provided:
The length of the lawn is 6 ft more than three times the width of the lawn.
To express this algebraically, we can use descriptive variables. Let's say:
L = length of the lawn
w = width of the lawn
According to the information provided, the length (L) is equal to 6 ft plus three times the width (3w). Therefore, the algebraic expression for the length of the lawn in terms of the width would be:
L = 3w + 6
So, the correct answer for question 1 is D.
For question 2, you are asked to convert the number 143,000,000 meters to scientific notation. In scientific notation, we write a number as the product of a decimal number and a power of 10.
To convert 143,000,000 to scientific notation, we need to move the decimal point so that there is one non-zero digit to the left of the decimal point. In this case, we can achieve that by moving the decimal point 8 places to the left:
143,000,000 = 1.43 * 10^8
So, the correct answer for question 2 is B.
I hope this helps! Let me know if you have any more questions.