B. One arm extended straight to the side
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4x + 10 = 2x + 20
4x - 2x = 20 - 10
2x = 10
x = 5
Answer:
Below.
Step-by-step explanation:
To find the number of students in each grade you multiply the marks by the frequency density. The number of students is given by the area under the rectangles.
So to find the number of students with grade U (< 160) it is:
120 * 0.2 + 40*0.5
= 24 + 20
= 44.
The number for Grade E
= (200 - 160) * 0.5
= 40 * 0.5
= 20.
The others can be found in the same way.
To find the sales tax, you need to find 9.5% of 4.25
4.25*.095 = <span>.40375
Now we need to add the sales tax to the price.
4.25 + </span>.40375 = <span>4.65375
Because dollars one have 2 decimal points we should round this to 4.65
Hope this helped!
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Answer:
There are 199 pairs of consecutive natural numbers whose product is less than 40000.
Step-by-step explanation:
We notice that such statement can be translated into this inequation:

Now we solve this inequation to the highest value of
that satisfy the inequation:


The Quadratic Formula shows that roots are:






Only the first root is valid source to determine the highest possible value of
, which is
. Each natural number represents an element itself and each pair represents an element as a function of the lowest consecutive natural number. Hence, there are 199 pairs of consecutive natural numbers whose product is less than 40000.