Answer:
A) 40
B) length = 4.275 km; not quite true. See below for explanation.
Step-by-step explanation:
A) Your calculator can tell you the ratio ...
(national pennies)/(local pennies) = (8×10⁶)/(2×10⁵)
= (8/2)×10⁶⁻⁵ = 4×10¹ = 40
The national drive collected 40 times as many pennies as the Valley Stream Central goal.
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B) Multiplying the number of pennies by the diameter of each will tell the length of the line of pennies. That length can be compared to the 5 km distance to determine if the reporter's statement is true. (It is <em>not</em> true.)
length of string = (length of penny) × (number of pennies)
= (19×10⁻⁶ km) × (2.25×10⁵) = 42.75×10⁻¹ km = 4.275 km
The length of the pennies laid side-to-side is less than 5.0 km. The reporter's statement is not true.
_____
All scientific and graphing calculators and many 4-function calculators will let you enter numbers in scientific notation.
3x + 7 > 4x + 3
subtract 3x from both sides
7 > x + 3
7 - 3 > x
x < 4
For #7, one line should have the y-intercept of -2 and a slope of 2/3 and the other line's y-intercept is 1 and its slope should be -5.
In the image provided, the red line represents 2/3x - 2 and the blue line represents -5x + 1.
8) Organize the information you are given.
*Savannah is 24 years older than Ryan.
So, Ryan's age + 24 = Savannah's age.
*Sebastian is 5 times as old as Ryan.
So, Ryan's age × 5 = Sebastian's age.
*Savannah and Sebastian are twins. They have the same age.
So, Savannah's age = Sebastian's age
Let x represent Ryan's age.
Write the equation based on the information you are given.
x + 24 = x(5)
x + 24 = 5x
Solution: D) 24 + x = 5x
4 and 3
The LCM of these two numbers is 12.
Added together, their sum is 7.