I like to start by turning all my numbers into the same form. You can go either way but I am going to turn the decimals into fractions. so 0.7 is the same as 7/10.
0.755 is like 755/1000 which can be reduced to 151/200 (if you don't understand the convertions let me know i will explaine more.)
Next give all the fractions a common denominator. both 8 and 10 go into 200 so we can use that. 151/200 already has a denominator of 200 so that one is set.
for 7/10 well, 10 time 20 is 200 so multiply both the numerator and the denominator by 20 so you get 140/200
the last one is 5/8 8 times 25 is 200 so multiply both numbers by 25 to get 125/200
the fractionos we have are 125/200 151/200 and 140/200. Now because they all have the same denominator the one with the lowest numerator is the least number and the one with the highest number is the greatest number.
125/200 140/200 151/200 now just replace the original number with the order they are placed in.
125/200 was 5/8
140/200 was 0.7
151/200 was 0.755
so the final answer is
5/8, 0.7, 0.755
Answer:
2
Step-by-step explanation:
the rate of change is measured as
in the closed interval [ a, b ]
here [a, b ] = [- 4, 1 ]
f(b) = f(1) = 2 + 4 = 6
f(a) = f(- 4) = - 8 + 4 = - 4
average rate of change = 
= 
= 2
to get the slope of any line, all we need is two points off of it.
so let's see hmmmmmmm this line passes through (0, 1) and hmmmm (4, -2)
The appropriate choice is ...
... On Line 3, Brianna should have divided by 0.1 instead of subtracting 0.1.
_____
Had Brianna simplified her effort properly on line 4, she would have
... -0.1 +0.1x = -1.4
putting her essentially back where she started—with a 2-step equation.
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.
__
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.
