Answer:
<em>Writing 6(3x + 8) + 32 + 12x in 3 different ways:</em>
∵ 6(3x + 8) = 18x +48 as distribute law suggests that a(b + c) = ab + ac
- w₂ = 18x + 80 + 12x ∵ 48 + 32 = 80
- w₂ = 30x + 80 ∵ 18x + 12x = 30x
Step-by-step explanation:
As the expression is 6(3x + 8) + 32 + 12x, and we have to write it in three different ways. Using the properties of operations we can write it in three different ways,
Let way one be denoted as w₁
Let way two be denoted as w₂
Let way three be denoted as w₃
So, lets write 6(3x + 8) + 32 + 12x in 3 different ways:
∵ 6(3x + 8) = 18x +48 as distribute law suggests that a(b + c) = ab + ac
- w₂ = 18x + 80 + 12x ∵ 48 + 32 = 80
- w₂ = 30x + 80 ∵ 18x + 12x = 30x
<em>Keywords: operation properties, distributive law</em>
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<span><span>A.
</span>y= 4 / x</span>
Proportionality or variation is state of relationship or
correlation between two variables It has two types: direct variation or
proportion which states both variables are positively correlation. It is when
both the variables increase or decrease together. On the contrary, indirect
variation or proportion indicates negative relationship or correlation. Elaborately,
the opposite of what happens to direct variation. One increases with the other
variables, you got it, decreases. This correlations are important to consider
because you can determine and identify how two variables relates with one
another.
Notice x = y (direct), y=1/x (indirect)
Answer:
it would be C because they don't give enough information
Answer:
1. 24 km/hour
2. 48 km
Step-by-step explanation:
1 mile = 1.6 km
cyclist = 15 miles/ hour
we want to multiply speed by something that will cancel miles out and leave km. to do this, we want to multiply it by something with miles on the bottom and km on the top.
this is because
miles * km / miles = km as the miles cancel out and km is left in the numerator
thus,
1 mile = 1.6 km
divide both sides by 1.6 km to get 1 on a side
1 mile / 1.6 km = 1
alternatively, divide both sides by 1 mile to get 1 on a side
1.6 km / 1 mile = 1
since we want miles on the bottom, we choose the second option
cyclist = 15 miles / hour = 15 miles/hour * 1 = 15 miles/hour * 1.6km / 1 mile = 24 km /hour
24 km/hr for 2 hours = 24 km/hr * 2 hours = 24 * 2 km = 48 km
C $15.75 E $15.95 And B $16.25 those there the answers
