Answer:
available is 111.5cm tall and Olivia is 88.5cm
Step-by-step explanation:
ok so Olivia is half the height of Luca which means the height of Luca divided by 2
177÷2=88.5
so Olivia is 88.5cm tall
we know that Available is 23cm taller than Olivia which means
the height Available= the height of Olivia+ 23cm
=88.5+23
=111.5
so Available is 111.5cm tall
The value of x in the linear equation 4(x + 5) = 9x + 4x − 34 is 6 after applying the property.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have linear equation in one variable:
4(x + 5) = 9x + 4x − 34
4x + 20 = 9x + 4x − 34 (Distributive Property)
4x + 20 -4x + 34= 9x + 4x − 34 -4x +34
(Subtraction Property of Equality and Addition Property of Equality)
54 = 9x
x = 6 (Division Property of Equality)
Thus, the value of x in the linear equation 4(x + 5) = 9x + 4x − 34 is 6 after applying the property.
Learn more about the linear equation here:
brainly.com/question/11897796
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well, let's notice something, a cube, all equal sides, has a side of 6, thus its volume is simply 6*6*6 = 216 cm³.
now, a rectangular prism, is a cuboid as well, but with varying dimensions.
let's notice something 6*6*6 is simply a multiplication of 3 numbers, let's then do a quick <u>prime factoring</u> of those numbers, well, 6 factors only into 2 and 3, so then the product of 6*6*6 can really be rewritten as (2*3)(2*3)(2*3).
well, regardless on how we rearrange the factors, the product will be the same, commutative property, so the rectangular prism will more or less have the same product and thus just about the same prime factors.
so let's rearrange on say hmmm height = 3 cm, length = 3*3 cm and width = 2*2*2 cm, notice, is still the same prime factors, 3*9*8 = 216 cm³.
Check the picture below.
The answer is B 2,142.72 because when you add it all up then multiply by 12 it will equal that.