The expression √(128x⁸y³z⁹) is equivalent to the expression 8x⁴yz⁴ √(2yz). Then the correct option is C.
The missing options are given below.
<h3>What is an equivalent expression?</h3>
The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ √(128x⁸y³z⁹)
Then the expression is given below.
⇒ √[(64 × 2)(x⁴)²(y²y)(z⁸z)]
⇒ 8x⁴yz⁴ √(2yz)
Then the correct option is C.
More about the equivalent link is given below.
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Answer:
35
Step-by-step explanation:
We know the factors of Lena's age are 2 and 5. The least common multiple must have these factors and the factors of 14, so will at least have factors of 2, 5, and 7.
Apparently, the dad's age is 5·7 = 35.
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The GCF is 5; the LCM is 70 = 5×14.
_____
Sometimes, I use a little 3-part diagram to think about LCM and GCF. Here, it would look like ...
(2 [5) 7]
where the numbers in curved brackets (2·5) and the numbers in square brackets [5·7] are factors of the two numbers of concern (Lena's age, her dad's age). The middle number in both brackets [5) is the greatest common factor, and the product of all three numbers is their least common multiple.
Here, the product of outside numbers, 2·7 = 14, represents the ratio of the LCM to the GCF. We know that Lena's age has factors of only 2 and 5, so the numbers in the diagram have to be (2[5)7], where 2 and 7 are on the ends and 5 is in the middle.
Answer:
£177.92
Step-by-step explanation:
To increase something by 28% would be to multiply the original value by 1.28:
So to increase £139 by 28%, we do:
£139 × 1.28 = £177.92
So this is our final answer